This disclosure relates generally to the production of therapeutic cells in bioreactors and, more specifically, to systems and methods for scalable manufacturing of therapeutic cells in bioreactors.
With the potential to cure numerous types of serious disease indications, cell therapies are poised to revolutionize the biopharmaceutical industry. An increasing number of allogeneic therapeutic cell candidates are currently in development or entering early stages of clinical trials. However, large-scale manufacturing of these therapeutic cell products, sufficient to meet future commercial demand, has yet to be developed and demonstrated.
The limitation of using 2D manufacturing platforms for commercial production of therapeutic cells is well recognized by the biopharmaceutical industry. The primary cost of goods for 2D manufacturing, namely expensive capital investments and labor costs, would become prohibitive at commercial scale. Instead, single-use bioreactors as a 3D manufacturing platform are widely considered to be the technology used for scalable therapeutic cell manufacturing.
In accordance with a first implementation, a method of scaling production of therapeutic cells grown on microcarriers or as cell aggregates in a suspension-based bioreactor includes determining a target average energy dissipation rate (EDR) of turbulent eddies within a suspension including cells disposed in a small scale bioreactor. The method includes determining a small scale agitation rate to achieve the target average EDR in the small scale bioreactor and determining a large scale agitation rate to achieve the target average EDR in a large scale bioreactor. The large scale agitation rate is directly dependent on the small scale agitation rate. The method includes depositing a suspension comprising a plurality of cells suspended in a volume of culture fluid into the large scale bioreactor and setting an agitation rate of a mixer disposed in the large scale bioreactor to the large scale agitation rate. The method includes actuating the mixer in the large scale bioreactor at the large scale agitation rate to mix the suspension with an average EDR approximately equal to the target average EDR.
In accordance with a second implementation, a method of operating a large scale suspension-based bioreactor for the production of cells grown on microcarriers or as cell aggregates includes selecting a large scale bioreactor for production of cells grown on microcarriers or as cell aggregates. The large scale bioreactor has a large scale mixer in a large scale vessel. The method includes determining a large scale agitation rate for the large scale mixer. The large scale agitation rate is determined based on a small scale agitation rate of a small scale mixer in a small scale vessel of a small scale bioreactor that achieves a target average energy dissipation rate (EDR) of turbulent eddies in a suspension in the small scale bioreactor. The method includes depositing a suspension comprising cells suspended in a volume of culture fluid into the large scale bioreactor and setting the agitation rate of the large scale mixer to the large scale agitation rate. The method includes actuating the large scale mixer at the large scale agitation rate to mix the cells in the suspension at an average EDR approximately equal to the target average EDR.
In accordance with a third implementation, a large scale suspension-based system for the production of cells grown on microcarriers or as cell aggregates includes a bioreactor and a suspension. The bioreactor includes a vessel and a mixer disposed in the vessel. The mixer is operably coupled to a drive mechanism and is operated at an agitation rate. The suspension includes cells suspended in a volume of culture fluid disposed in the vessel and being mixed by the mixer. The suspension includes a plurality of turbulent eddies generated by the mixer. The plurality of turbulent eddies each have an energy dissipation rate (EDR). A magnitude of the EDR of at least approximately 60%, at least approximately 70%, at least approximately 75%, at least approximately 80%, at least approximately 85%, at least approximately 90%, at least approximately 95%, or at least approximately 97% of the turbulent eddies is less than approximately 0.0015 m2/s3.
In accordance with a fourth implementation, a method of production of therapeutic cells grown on microcarriers or as cell aggregates in a suspension-based bioreactor includes depositing a suspension comprising cells suspended in a volume of culture fluid into a bioreactor and setting an agitation rate of a mixer disposed in the bioreactor. The method includes actuating the mixer at the set agitation rate to mix the suspension in the bioreactor. The suspension includes a plurality of turbulent eddies generated by the mixer. A magnitude of an energy dissipation rate (EDR) of at least approximately 60%, at least approximately 70%, at least approximately 75%, at least approximately 80%, at least approximately 85%, at least approximately 90%, at least approximately 95%, or at least approximately 97% of the turbulent eddies is less than approximately 0.0015 m2/s3.
In accordance with a fifth implementation, a bioreactor system includes a containment vessel, a mixer, and a processor. The containment vessel defines a first working volume and the mixer is in the containment vessel and configured to rotate about an axis so as to stir contents of the containment vessel. The processor is adapted to access a first agitation rate at which a mixer of a second bioreactor having a second working volume is operated. Operating the mixer of the second bioreactor at the first agitation rate achieves an average energy dissipation rate (average EDR) of turbulent eddies within a suspension including cells disposed in the second bioreactor. Based on the first agitation rate, the processor is adapted to determine a second agitation rate at which the mixer in the containment vessel is configured to operate to substantially achieve a target average EDR of turbulent eddies within a suspension including cells in the containment vessel. The target average EDR is approximately equal to the average EDR. The processor is adapted to cause the mixer of the containment vessel to rotate at the second agitation rate.
In accordance with a sixth implementation, a bioreactor for growing therapeutic pluripotent stem cells derived from humans or animals on microcarriers and/or in aggregates. The microcarriers and/or aggregates are suspended in the culture fluid using an average power input per mass level of 3.5 cm2/sec3 or less.
In further accordance with the foregoing first, second, third, fourth, fifth, and/or sixth implementations, an apparatus and/or method may further include or comprise any one or more of the following:
In accordance with an implementation, the average EDR includes an average of a plurality of actual EDR data points within the volume of the suspension in the large scale bioreactor. A magnitude of at least approximately 60%, at least approximately 70%, at least approximately 75%, at least approximately 80%, at least approximately 85%, at least approximately 90%, at least approximately 95%, or at least approximately 97% of the plurality of actual EDR data points is less than approximately 0.0015 m2/s3.
In accordance with another implementation, at least one of the small scale and large scale agitation rates is in a range between approximately 0 rpm and approximately 120 rpm.
In accordance with another implementation, at least one of the small scale and large scale agitation rates are in a range between approximately 12 rpm and approximately 77 rpm.
In accordance with another implementation, the target average EDR is in a range between approximately 0 m2/s3 and approximately 0.006 m2/s3.
In accordance with another implementation, the target average EDR is in a range between approximately 0.0003 m2/s3 and approximately 0.0015 m2/s3.
In accordance with another implementation, actuating the mixer in the large scale bioreactor comprises actuating a vertical wheel mixer having a horizontal axis of rotation.
In accordance with another implementation, actuating the mixer in the large scale bioreactor comprises actuating a mixer having a vertical axis of rotation.
In accordance with another implementation, depositing a suspension including cells into the large scale bioreactor comprises depositing pluripotent stem cells (PSCs) into the large scale bioreactor.
In accordance with another implementation, the method further includes depositing microcarriers into the large scale bioreactor.
In accordance with another implementation, the large scale bioreactor has a volume larger than a volume of the small scale bioreactor.
In accordance with another implementation, the average EDR includes an average of a plurality of actual EDR data points within the volume of the suspension in the large scale bioreactor. A magnitude of at least approximately 60%, at least approximately 70%, at least approximately 75%, at least approximately 80%, at least approximately 85%, at least approximately 90%, at least approximately 95%, or at least approximately 97% of the plurality of actual EDR data points is less than approximately 0.0015 m2/s3.
In accordance with another implementation, at least one of the small scale and large scale agitation rates is in a range between approximately 0 rpm and approximately 120 rpm.
In accordance with another implementation, at least one of the small scale and large scale agitation rates is in a range between approximately 12 rpm and approximately 77 rpm.
In accordance with another implementation, the target average EDR is in a range between approximately 0 m2/s3 and approximately 0.006 m2/s3.
In accordance with another implementation, the target average EDR is in a range between approximately 0.0003 m2/s3 and approximately 0.0015 m2/s3.
In accordance with another implementation, actuating the large scale mixer comprises a vertical wheel mixer having a horizontal axis of rotation.
In accordance with another implementation, actuating the large scale mixer comprises actuating a mixer having a vertical axis of rotation.
In accordance with another implementation, depositing a suspension including cells into the large scale bioreactor comprises depositing pluripotent stem cells (PSCs) into the large scale bioreactor.
In accordance with another implementation, the method further includes depositing microcarriers into the large scale bioreactor.
In accordance with another implementation, selecting a large scale bioreactor comprises selecting a bioreactor with a volume larger than a volume of the small scale bioreactor.
In accordance with another implementation, the target average EDR is in a range between approximately 0 m2/s3 and approximately 0.006 m2/s3.
In accordance with another implementation, the target average EDR is in a range between approximately 0.0003 m2/s3 and approximately 0.0015 m2/s3.
In accordance with another implementation, the vessel has a volume at least one of between approximately 0.1 L and approximately 500 L or between approximately 0.1 L and approximately 2000 L.
In accordance with another implementation, the mixer includes a vertical wheel mixer having a horizontal axis of rotation.
In accordance with another implementation, the vessel includes a curved bottom wall.
In accordance with another implementation, the mixer includes a vertical axis of rotation.
In accordance with another implementation, the cells include pluripotent stem cells (PSCs).
In accordance with another implementation, the system further includes microcarriers in the suspension.
In accordance with another implementation, the target average EDR is in a range between approximately 0 m2/s3 and approximately 0.006 m2/s3.
In accordance with another implementation, the target average EDR is in a range between approximately 0.0003 m2/s3 and approximately 0.0015 m2/s3.
In accordance with another implementation, the method further includes selecting the bioreactor from a plurality of available bioreactors, each comprising a volume at least one of between approximately 0.1 L and approximately 500 L or between approximately 0.1 L and approximately 2000 L.
In accordance with another implementation, the mixer includes a vertical wheel mixer having a horizontal axis of rotation.
In accordance with another implementation, the vessel includes a curved bottom wall.
In accordance with another implementation, the mixer includes a vertical axis of rotation.
In accordance with another implementation, depositing a suspension includes cells suspended in a volume of a culture fluid into the bioreactor comprises depositing pluripotent stem cells (PSCs) into the bioreactor.
In accordance with another implementation, the method includes depositing microcarriers into the bioreactor.
In accordance with another implementation, the bioreactor system further includes a user interface adapted to receive an input associated with the first agitation rate. The user interface being operatively coupled to the processor.
In accordance with another implementation, the first working volume is greater than the second working volume.
In accordance with another implementation, the containment vessel has a working volume at least one of between approximately 0.1 L and approximately 500 L or between approximately 0.1 L and approximately 2000 L.
In accordance with another implementation, the containment vessel has walls including a lower curved wall located at a lower end of the vessel.
In accordance with another implementation, the mixer is configured to rotate about a horizontal axis.
In accordance with another implementation, the mixer is configured to rotate about a vertical axis.
In accordance with another implementation, the target average EDR is in a range between approximately 0 m2/s3 and approximately 0.006 m2/s3.
In accordance with another implementation, the target average EDR is in a range between approximately 0.0003 m2/s3 and approximately 0.0015 m2/s3.
In accordance with another implementation, the bioreactor system further includes the suspension including cells disposed in the containment vessel.
In accordance with another implementation, the cells include pluripotent stem cells (PSCs).
In accordance with another implementation, the bioreactor system further includes microcarriers in the suspension.
In another implementation, the microcarriers or aggregates have an average diameter of 100 microns or greater.
In another implementation, over 90% of the bioreactor volume is below a target average energy dissipation rate (EDR), where EDR is the energy dissipation rate per unit mass, typically measured or predicted in units of m2/s3 or cm2/s3, for the culture fluid undergoing fluid flow.
In another implementation, over 99% of the bioreactor volume is below a target average EDR.
In another implementation, over 90% of the bioreactor volume is below a target average EDR of 1.30E-2 m2/s3.
In another implementation, over 99% of the bioreactor volume is below a target average EDR of 1.30E-2 m2/s3.
In another implementation, this property is maintained upon scale up in series of increasingly larger bioreactors.
In another implementation, the increase in scale in bioreactor working volumes goes from 100 mls up to 3 liters, 100 mls up to 15 liters, 100 mls up to 80 liters, 100 mls up to 500 liters, or up to 2000 liters.
In another implementation, the microcarriers or aggregates have an average diameter of 100 microns or greater.
In another implementation, a bioreactor with properties from the implementations disclosed above and/or below which together result in formation of uniformly spherical cell aggregates of same or similar diameter.
In another implementation, a method of precise control of spherical cell aggregate diameter by changing agitation speed of mixing mechanism.
In another implementation, the properties are maintained during scale up into larger volumes as described in the implementations above and/or below.
In another implementation, the method includes uniformity of cell aggregates size/diameter improves expansion efficiency of cell aggregates.
In another implementation, optimal aggregate diameter can vary by cell type.
Although the following text discloses a detailed description of implementations of methods, apparatuses and/or articles of manufacture, it should be understood that the legal scope of the property right is defined by the words of the claims set forth at the end of this patent. Accordingly, the following detailed description is to be construed as examples only and does not describe every possible implementation, as describing every possible implementation would be impractical, if not impossible. Numerous alternative implementations could be implemented, using either current technology or technology developed after the filing date of this patent. It is envisioned that such alternative implementations would still fall within the scope of the claims.
Example systems and methods for controlling fluid dynamic conditions in bioreactors are disclosed in order to optimize suspension cell culture processes involving cells grown on microcarriers or as aggregates. These example systems and methods are applicable across a broad range of bioreactor sizes, from approximately 0.1 L working volume for small-scale R&D use to approximately 500 L working volume for large-scale clinical or commercial manufacturing. However, any size bioreactor may be used in accordance with the teachings of this disclosure. For example, the large-scale bioreactor made and/or operated in accordance with the teachings of this disclosure may have a working volume of approximately 2000 L. However, the teachings of this disclosure may be used in association with any size bioreactor, including, for example, a bioreactor having a working volume of approximately 200 L, a bioreactor having a working volume of approximately 300 L, a bioreactor having a working volume of approximately 400 L, a bioreactor having a working volume of approximately 600 L, a bioreactor having a working volume of approximately 700 L, a bioreactor having a working volume of approximately 800 L, a bioreactor having a working volume of approximately 900 L, a bioreactor having a working volume of approximately 1000 L, a bioreactor having a working volume of approximately 1100 L, a bioreactor having a working volume of approximately 1200 L, a bioreactor having a working volume of approximately 1300 L, a bioreactor having a working volume of approximately 1400 L, a bioreactor having a working volume of approximately 1500 L, a bioreactor having a working volume of approximately 1600 L, a bioreactor having a working volume of approximately 1700 L, a bioreactor having a working volume of approximately 1800 L, a bioreactor having a working volume of approximately 1900 L, a bioreactor having a working volume of approximately 2100 L, etc.
In order for bioreactors to become a standard manufacturing platform for therapeutic cells, suspension-based cell culture processes developed in a small-scale bioreactor are to be demonstrated in a repeatable way at larger scales in accordance with the teachings of this disclosure. Providing a threshold growth environment for cells inside bioreactors may be done to increase cell yield while maintaining threshold quality attributes, and to demonstrate the feasibility of commercial-scale production for therapeutic cell products.
Most allogeneic therapeutic cells are anchorage-dependent and therefore are attached to a surface to proliferate. Different anchorage-dependent cell types vary significantly in their requirements and behavior within bioreactor-based suspension cultures. Some examples of these cell types include human primary cells and mesenchymal stem cells (MSCs) that are typically grown on the surface of plastic microcarriers that are suspended inside the bioreactor (
Pluripotent stem cells (PSCs), which encompass types such as embryonic stem cells (ESCs) or induced pluripotent stem cells (iPSCs), naturally clump together to form spherical cell aggregates during both cell expansion and directed differentiation processes and, thus, do not require microcarriers.
Another characteristic of PSCs is that, after the cell expansion phase, the cell aggregates will typically go through a multi-step process of directed differentiation, to force the pluripotent cells to become a final target therapeutic cell type such as cerebellar cells, which can then form organoids in suspension (
Most commercially available microcarriers typically average in diameter between approximately 150 microns to approximately 250 microns (μ), while PSC aggregates of various cell types typically average between approximately 100 microns and approximately 400 microns. Both microcarriers and cell aggregates are substantially uniformly suspended inside a bioreactor to allow the microcarriers to be exposed to the same or similar growth conditions and other biological requirements. Furthermore, these particles are larger than single cells and thus use greater power input to a bioreactor's mixing mechanism, such as an impeller, to be fully and homogenously suspended in culture media. If the mixing environment in a bioreactor is suboptimal or otherwise does not satisfy a threshold level for cells during various process steps, inconsistent yields and poor product quality of cells will occur.
While the biological needs of suspended cells, such as availability of nutrients and removal of waste products are known aspects for achieving a threshold cell culture performance, the fluid mixing environment may also be considered. Therefore, the manner in which a bioreactor suspends and mixes microcarriers or cell aggregates is to be understood and optimized for the mixing environment to remain substantially consistent and substantially predictable during scale up, to allow for large-scale production of therapeutic cell products as is taught based on the teachings of this disclosure.
The teachings of this disclosure generally involve curating the physiological requirements of various types of cell growth techniques, including predicting the threshold fluid dynamic conditions and mixing characteristics of the culture media inside a bioreactor. These parameters are associated with the fluid mixing environment that cells will experience and ultimately affect cell yield and quality throughout a cell culture process.
The teachings of this disclosure also relate to systems and methods, determined by physical mixing studies, power measurements, and computational fluid dynamics (CFD) analyses, for optimum and scalable production of therapeutic cells grown on microcarriers or as cell aggregates in a suspension-based bioreactor. The threshold production conditions can be achieved by monitoring and controlling specific fluid dynamic mixing conditions, which in turn may influence the efficiency of cell expansion for microcarrier-based processes, and both expansion and differentiation processes for PSC aggregate-based processes. For both of these process types, the methods in accordance with the teachings of this disclosure can be used to optimize the yield and quality of final cell products.
The teachings of this disclosure also relate to systems and methods for production of therapeutic cells, including those grown on microcarriers or as cell aggregates, within a bioreactor by controlling fluid dynamic conditions.
Suspension-based cell culture processes in bioreactors may be adapted such that all cells (or substantially are cells) are substantially continuously suspended in the liquid medium. The cells being suspended in the liquid medium ensures or at least enables that the cells may have exposure to a substantially consistent environment of biological and fluid dynamics parameters, and may deter and/or avoid unwanted settling of cells at the bottom of a bioreactor vessel. The agitation rate of a bioreactor's mixing mechanism, such as a rotating impeller, is directly controlled through power input into the impeller.
In some implementations, the first working volume 105 may be between approximately 250 liters (L) and approximately 500 L, between approximately 45 L and approximately 80 L, between approximately 9 L and approximately 15 L, and/or between approximately 1.8 L and approximately 3.0 L and the second working volume 107 may be between approximately 60 milliliters (mL) and approximately 100 mL and/or between approximately 300 mL and approximately 500 mL. More generally, the first working volume 105 and/or the second working volume 107 may be at least one of between approximately 0.1 L and approximately 500 L or at least one of between approximately 0.0 L and approximately 2000 L. However, the first working volume 105 and/or the second working volume 107 may be any volume.
Referring now to the first bioreactor 102 in detail, in the implementation shown, the first bioreactor 102 includes the containment vessel 104 having walls 110 including a lower curved wall 112 located at a lower end 114 of the containment vessel 104. The first bioreactor 102 also includes a mixer 116 positioned in the containment vessel 104 and configured to rotate about an axis 118 so as to stir contents of the containment vessel 104. The lower curved wall 112 may be referred to as a curved bottom wall and the axis 118 may be referred to as a central axis or a horizontal axis. As shown, the mixer 116 is configured to rotate about a horizontal axis 118. However, the mixer 116 may be differently arranged. For example, the mixer 116 can be configured to rotate about a vertical axis or at an angle relative to the horizontal axis and/or the vertical axis.
The system 100 also includes a drive assembly 122 operatively coupled to the mixer 116 that is adapted to operate/rotate the mixer 116 and a controller 124 having a processor 125. The controller 124 is electrically and/or communicatively coupled to the drive assembly 122 to cause the drive assembly 122 to perform various functions as disclosed herein. The second bioreactor 106 can have similar structures to the first bioreactor 102. For example, the second bioreactor 106 can have the walls 110, the lower curved wall 112, and the mixer 116 having the same or similar dimensions, aspect ratios, and/or bioreactor functions as the first bioreactor 102.
In operation, the second bioreactor 106 is used to perform experiments on a smaller volume to determine values (e.g., agitation rate(s), EDR value(s)) to operate the second bioreactor 106 at to grow therapeutic cells having shapes and/or sizes that are substantially uniform and/or satisfy a threshold standard. Advantageously, based on the operating values at which the second bioreactor 106 is operated, the first bioreactor 106 can determine operating values to operate at to grow therapeutic cells in the larger volume of the first bioreactor 102 having similar or the same desired characteristics of the cells grown in the second bioreactor 106. Put another way, the first bioreactor 102 (the larger-scale bioreactor) is operated based on operating values of the second bioreactor 106 (the smaller-scale bioreactor) to grow therapeutic cells having desired attributes such as, for example, having similar sizes and/or shapes.
In some implementations, at least one of the parameter values includes an agitation rate at which the mixer 116 of the second bioreactor 106 is operated. The agitation rate may be associated with the revolutions per minute (RPMs) at which the mixer 116 of the second bioreactor 106 is rotated. The mixer 116 may be rotated at a rate that achieves an average energy dissipation rate (average EDR) of turbulent eddies within a suspension including the therapeutic cells disposed in the second bioreactor 106. Put another way, the mixer 116 may be rotated at a rate that achieves energy dissipation rates that are distributed throughout the bioreactor volume. The suspension may include microcarriers and the therapeutic cells may include pluripotent stem cells (PSCs). However, the suspension and/or the therapeutic cells may be different. The suspension itself may comprise a liquid media that contains various nutrients, growth factors, chemicals, and/or other additions that are intended to improve growth, differentiation, or other biological performance of cells. The media typically has a similar density to water and while there are commercially available media tailored for specific cell types and process needs, customized media may be produced. Other therapeutic cells types can include, but are not limited to, mesenchymal stem cells or genetically modified single cells such as T-cells. The majority of therapeutic cells are human-derived but may potentially be animal-, insect-, virus-, or bacteria-derived as well.
In such implementations, the processor 125 of the controller 124 accesses the agitation rate at which the mixer 116 of the second bioreactor 106 is operated and determines a second agitation rate at which the mixer 116 in the containment vessel 104 of the first bioreactor 102 is to be operated based on the first agitation rate and causes the mixer 116 of the first bioreactor 102 to rotate at the second agitation rate. In other implementations, the agitation rate of the first bioreactor 102 may be determined in a different way. For example, the second agitation rate may be determined manually (e.g., using pen and paper, using a calculator) and/or using a chart or graph (see,
The processor 125 may also determine the agitation rate based on additional or alternative inputs. For example, the processor 125 may determine the agitation rate of the first bioreactor 102 based on inputs associated with the media being used, the cell line type, the inoculation condition(s), and a working volume of the first bioreactor 102 and/or the second bioreactor 106. Based on the input value(s) received at or otherwise accessed by the processor 125, the processor 125 may access a data base, such as the memory 138 of the controller 124, and compare the input(s) received to reference data (e.g., historical data) stored in the memory 138. The reference data may contain data from experiments performed at other bioreactors using different media(s), different agitation rate(s), different cell line type(s), different inoculation condition(s), and/or different working volume(s) and may accessed by the controller 124 using, for example, the communication interface 136. Advantageously, in such an example, the processor 125 can compare the received input value(s) to the reference data and the processor 125 can then determine an agitation rate to operate the first bioreactor 102 at that will more likely grow cells having similar sizes and/or shapes that is tailored to the particular conditions (e.g., working volume, cell line type, media). Put another way and as an example, the processor 125 dynamically provides first feedback to a user to operate the first bioreactor 102 at a first agitation rate if a first working volume is to be used with the first bioreactor 102 and the processor 125 dynamically provides second feedback to a user to operate the first bioreactor 102 at a second agitation rate if a second working volume is to be used with the first bioreactor 102.
Operating the second bioreactor 106 at the first agitation rate achieves an average energy dissipation rate (average EDR) of turbulent eddies within a suspension including cells disposed in the second bioreactor 106 and operating the mixer 116 of the first bioreactor 102 at the second agitation rate substantially achieves a target average EDR of turbulent eddies within a suspension including cells in the containment vessel 104. In some implementations, the target average EDR is approximately equal to the average EDR. The turbulent eddies generated by operating the mixer 116 at the second agitation rate. A magnitude of the EDR of at least approximately 60%, at least approximately 80%, approximately 85%, approximately 90%, approximately 95%, or approximately 97% of the turbulent eddies is less than approximately 0.0015 m2/s3. As set forth herein, approximately 0.0015 m2/s3 is +/−50% or equal to 0.0015 m2/s3.
In some implementations, the target average EDR is in a range of between approximately 0 m2/s3 and approximately 0.006 m2/s3. In other implementations, the target average EDR is in a range of between approximately 0.0003 m2/s3 and approximately 0.0015 m2/s3. However, different target average EDRs may be suitable depending on, for example, the therapeutic cells being produced, the volume of the containment vessel 104, 108, etc.
The dissipation of the kinetic energy of turbulence (the energy associated with turbulent eddies in a fluid flow) is the rate at which the turbulence energy is absorbed by breaking the eddies down into smaller and smaller eddies until the eddy is ultimately converted into heat by viscous forces. EDR may be expressed as the kinetic energy per unit mass per second, with units of velocity squared per second (m2/s3). A narrow range of EDR may be associated with a homogeneous fluid flow environment with eddies that do not vary substantially in size. Sufficiently small Kolmogorov eddies can also have a physical shearing effect on cells attached.
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The wheel 120 includes oppositely-oriented axial vanes 130 that may create a cutting-and-folding action of the fluid through the axis 118 and may provide relatively efficient mixing at relatively low power inputs to, for example, the drive assembly 122 and/or the wheel 120. Moreover, in the implementation shown, the wheel 120 includes an impeller zone 132 that is sized to produce a relatively low energy dissipation rate (EDR) and gentle mixing. For example, the impeller zone 132 may be relatively large to produce a relatively large swept volume. The wheel 120 and the containment vessel 104 operate together to create strong and sweeping flow that can fully suspend large particles, such as plastic microcarriers or cell aggregates within the containment vessel 104, with relatively low power input as compared to traditional stirred-type bioreactors (STRs) with horizontal-impeller mixing.
In other implementations, the drive assembly 122 can be omitted and the containment vessel 104 may include an air-input port (not shown) that flows air into the container vessel 104 to create buoyant air bubbles that rise, interact with the wheel 120 and pneumatically turn the wheel 120. Rotating the wheel 120 using air bubbles may result in the same or similar fluid flow characteristics sufficient for low-power suspension of microcarriers or cell aggregates similar to using the drive assembly 122 disclosed above. However, the action of air bubbles popping at a liquid surface within the containment vessel 104 is a potential source of shear damage to anchorage-dependent cells and, thus, magnetic drive mixing is preferred for cell types such as MSCs or PSCs.
In operation, as the mixer 116 of the first bioreactor 102 and/or the second bioreactor 106 rotates in the suspension contained within the containment vessel 104, 108, the mixer 116 creates turbulent flow that includes Kolmogorov eddies of various sizes. Larger eddies break down into smaller and smaller eddies due to viscous forces, until the smallest eddies dissipate and are converted into heat. EDR is the rate of this energy loss as eddies are converted from kinetic energy to thermal energy and a narrow range of EDR is associated with a homogeneous fluid flow environment with eddies that do not vary widely in size. Sufficiently small Kolmogorov eddies can also have a physical shearing effect on cells attached to the surface of the microcarriers. In the context of microcarrier-based processes, shear forces can potentially have a detrimental impact on cells attached to the surface of suspended microcarriers.
While the EDR is mentioned above as affecting the mixing environment within the containment vessel 104, other parameters may be relevant. For example, some of these parameters include: minimal power input to the impeller, a substantially homogeneous energy dissipation rate (EDR), and relatively low hydrodynamic shear stress levels. Changes to power input to the mixer 116 from the drive assembly 122 change the agitation rate within the containment vessel 104 and directly affect both the levels of EDR and shear stress. EDR may scale exponentially with increased agitation while shear stress scales linearly.
When the bioreactors 102 and/or 106 are operated in a manner that creates eddies that are larger than the diameter of a suspended microcarrier, the wave-like eddy streamlines sweep the microcarriers with the attached cells along the fluid flow path. In contrast, when the bioreactors 102 and/or 106 are operated in a manner that creates eddies that become significantly smaller than the diameter of a microcarriers, the smaller eddies create a shearing effect to the cells on the surface of microcarriers that causes cell damage or even death of the cells. Thus, power input to the wheel 120 using the drive assembly 122 directly affects eddy size inside the vessels 104 and/or 108 when the mixer 116 is rotated at a faster rate. A higher power input generates a mixing action that creates smaller eddies.
Referring to the controller 124, in the implementation shown, the controller 124 includes a user interface 134, a communication interface 136, one or more processors 125, and a memory 138 storing instructions executable by the one or more processors 125 to perform various functions including the disclosed implementations. The user interface 134, the communication interface 136, and the memory 138 are electrically and/or communicatively coupled to the one or more processors 125.
In an implementation, the user interface 134 is adapted to receive input from a user and to provide information to the user associated with the operation of the system 100 and/or an analysis taking place. The input may include, for example, a first agitation rate value at which the second bioreactor 106 is operated, an average EDR value achieved by operating the second bioreactor 106 at the first agitation rate value, a second agitation rate value at which the first bioreactor 102 is to be operated, and/or an average EDR rate value achieved by the first bioreactor 102 being operated at the second agitation rate value. However, the user interface 134 or, more generally, the controller 124 may receive other inputs. Some of these inputs may be associated with providing minimal power input to the mixer 116 and/or the drive assembly 122, achieving a substantially homogeneous energy dissipation rate (EDR), and/or achieving relatively low hydrodynamic shear stress levels. Additionally or alternatively, the input(s) may include, for example, the media, the cell line type, an inoculation condition, a working volume of the bioreactor 102, 106. The user interface 134 may include a touch screen, a display, a key board, a speaker(s), a mouse, a track ball, and/or a voice recognition system. The touch screen and/or the display may display a graphical user interface (GUI).
In an implementation, the communication interface 136 is adapted to enable communication between the first bioreactor 102 and the second bioreactor 106 and/or a remote system(s) (e.g., computers) via a network(s). The network(s) may include the Internet, an intranet, a local-area network (LAN), a wide-area network (WAN), a coaxial-cable network, a wireless network, a wired network, a satellite network, a digital subscriber line (DSL) network, a cellular network, a Bluetooth connection, a near field communication (NFC) connection, etc. Some of the communications provided to the remote system may be associated with analysis results, etc. generated or otherwise obtained by the first bioreactor 102. Some of the communications provided to the first bioreactor 102 may be associated with a mixing operation to be executed by the first bioreactor 102 and/or an agitation rate, an average EDR, and/or a target average EDR.
The one or more processors 125 and/or the system 100 may include one or more of a processor-based system(s) or a microprocessor-based system(s). In some implementations, the one or more processors 125 and/or the system 100 includes one or more of a programmable processor, a programmable controller, a microprocessor, a microcontroller, a graphics processing unit (GPU), a digital signal processor (DSP), a reduced-instruction set computer (RISC), an application specific integrated circuit (ASIC), a field programmable gate array (FPGA), a field programmable logic device (FPLD), a logic circuit and/or another logic-based device executing various functions including the ones described herein.
The memory 138 can include one or more of a semiconductor memory, a magnetically readable memory, an optical memory, a hard disk drive (HDD), an optical storage drive, a solid-state storage device, a solid-state drive (SSD), a flash memory, a read-only memory (ROM), erasable programmable read-only memory (EPROM), electrically erasable programmable read-only memory (EEPROM), a random-access memory (RAM), a non-volatile RAM (NVRAM) memory, a compact disc (CD), a compact disc read-only memory (CD-ROM), a digital versatile disk (DVD), a Blu-ray disk, a redundant array of independent disks (RAID) system, a cache and/or any other storage device or storage disk in which information is stored for any duration (e.g., permanently, temporarily, for extended periods of time, for buffering, for caching).
The process 600 of
A suspension including a plurality of cells suspended in a volume of culture fluid is deposited into the large scale bioreactor 102 (Block 608). Depositing the suspension including the cells into the large scale bioreactor 102 may include depositing pluripotent stem cells (PSCs) or mesenchymal stem cells (MSCs) into the large scale bioreactor 102. Microcarriers are optionally deposited, for example in combination with MSCs, into the large scale bioreactor (Block 610). The microcarriers and the suspension may be deposited in the large scale bioreactor 102 at the same time, different times in sequence, and/or at similar times (e.g., one after the other and/or within a time period).
The agitation rate of the mixer 115 disposed in the large scale bioreactor 102 is set to the large scale agitation rate (Block 612) and the mixer 116 in the large scale bioreactor 102 is actuated at the large scale agitation rate to mix the suspension with an average EDR approximately equal to the target average EDR (Block 614). The average EDR may include an average of a plurality of actual EDR data points within the volume of the suspension in the large scale bioreactor 102, where a magnitude of at least approximately 60%, at least approximately 80%, approximately 85%, approximately 90%, approximately 95%, or approximately 97% of the plurality of actual EDR data points is less than approximately 0.0015 m2/s3.
In some implementations, actuating the mixer 116 in the large scale bioreactor 102 includes actuating a vertical wheel mixer 116 having a horizontal axis 118 of rotation. In other implementations, actuating the mixer 116 in the large scale bioreactor 102 includes actuating the mixer 116 having a vertical axis of rotation such as a spinner type mixer. However, the mixer 116 may be differently configured and/or located within the containment vessel 104, for example, and may include different means for agitation including pneumatics (e.g., a bubble mixer) and/or other mechanisms.
The process 700 of
A suspension including cells suspended in a volume of culture fluid is deposited into the large scale bioreactor 102 (Block 706). Depositing the suspension including cells into the large scale bioreactor may include depositing pluripotent stem cells (PSCs) or mesenchymal stem cells (MSCs) into the large scale bioreactor. Microcarriers can then optionally be deposited into the large scale bioreactor (Block 708), for example, when used with MSCs. The microcarriers and the suspension may be deposited in the large scale bioreactor 102 at the same time, different times in sequence, and/or at similar times (e.g., one after the other and/or within a time period).
The agitation rate of the large scale mixer 116 is set to the large scale agitation rate (Block 710) and the large scale mixer 116 is actuated at the large scale agitation rate to mix the cells in the suspension at an average EDR approximately equal to the target average EDR (Block 712). In some implementations, the average EDR includes an average of a plurality of actual EDR data points within the volume of the suspension in the large scale bioreactor 102, where a magnitude of at least approximately 60%, at least approximately 80%, approximately 85%, approximately 90%, approximately 95%, or approximately 97% of the plurality of actual EDR data points is less than approximately 0.0015 m2/s3. In some implementations, actuating the large scale mixer 116 includes including a vertical wheel mixer 116 having a horizontal axis 118 of rotation. In other implementations, actuating the large scale mixer 116 includes actuating a mixer 116 having a vertical axis of rotation such as a spinner type mixer. Other mixers are possible and may include different means for agitation including pneumatics (e.g., a bubble mixer) and/or other mechanisms.
The process 8 of
A suspension comprising cells suspended in a volume of culture fluid is deposited into a bioreactor (Block 804). Depositing the suspension including cells suspended in a volume of a culture fluid into the bioreactor may include depositing pluripotent stem cells (PSCs) or mesenchymal stem cells (MSCs) into the bioreactor 102. Microcarriers can then be optionally deposited, for example with the MSCs, into the bioreactor (Block 806) and an agitation rate of the mixer 116 disposed in the bioreactor 102 is set (Block 808). The mixer 116 is actuated at the set agitation rate to mix the suspension in the bioreactor (Block 810). The suspension includes turbulent eddies generated by the mixer and the turbulent eddies each having an energy dissipation rate (EDR). A magnitude of the EDR of at least approximately 60%, at least approximately 80%, approximately 85%, approximately 90%, approximately 95%, or approximately 97% of the turbulent eddies is less than approximately 0.0015 m2/s3. In some implementations, the target average EDR is in a range of between approximately 0 m2/s3 and approximately 0.006 m2/s3 and/or in a range of between approximately 0.0003 m2/s3 and approximately 0.0015 m2/s3.
Referring to
While homogenous EDR is beneficial for even distribution of microcarriers and nutrients in liquid, another factor for microcarrier-based cell culture processes is maintaining shear stress levels below a threshold that would damage the cells. An impeller design that promotes formation of larger eddies may be beneficial if shear forces are of particular interest, but minimizing power input to the impeller 120 while still achieving full, off-bottom suspension of microcarriers may be desirable.
In contrast, a factor for aggregate formation of cells such as PSCs is a uniform mixing environment, which is created mainly through homogeneous distribution of all or at least some EDR values with narrow variation. This promotes the formation of spherical cell aggregates having uniform shape and size, which is often helpful for biological requirements during both expansion and differentiation process steps. Adjusting power input and therefore agitation rate, along with maintaining relatively consistent shear stress levels, also has a direct impact on controlling the size of cell aggregates.
As has been shown via studies with microcarriers, the agitation power used for complete suspension of such particles depends strongly on the agitator and bioreactor geometry. The power used for complete suspension depends upon agitation and bioreactor geometry and microcarrier diameter and the density difference between the microcarrier and culture fluid. A typical microcarrier has a diameter of between approximately 150 and approximately 200 microns and specific density of between approximately 1.03 and approximately 1.04, resulting in a density difference of 0.03 to 0.04 g/ml higher than the culture fluid.
A typical PSC aggregate has a diameter of between approximately 100 and approximately 400 microns. The aggregates are comprised of cells which can have different specific densities, as follows, depending upon the cell type: 1.05-1.15 for hepatocytes, 1.04-1.08 for Hela cells, 1.03-1.05 for fibroblasts, and 0.92 for fat cells. Based on these densities, PSC aggregates can be considered to have similar diameters and densities as microcarriers typically used for suspension cell culture processes. Thus, for a given bioreactor, the power input and agitation rate that successfully suspends microcarriers will also work well for suspension of most cell aggregates.
To determine the agitation power to be used for microcarrier suspension in a vertical-wheel bioreactor, the relationship between power number and Reynolds number for the vertical wheel system was characterized. The Reynolds number is used to determine whether fluid flow is laminar or turbulent and can predict the pattern of fluid flow. Characterizing the relationship between the power number and the Reynolds number is the well-established approach that has been used many times for horizontal impeller systems. In some implementations, the second bioreactor 106 was used that has a 0.5 L vertical-wheel single-use vessel. The wheel 120 of the second bioreactor 106 may have a diameter of approximately 7.24 centimeters (cm) and the lower curved wall 112 may have a radius of approximately 4.25 cm. However, different sized wheels 120 and/or lower curved walls 112 may be used.
The second bioreactor 106 is shown mounted next to the magnetic drive wheel 1005 so that drive magnets 1018 and vessel impeller magnets 1020 may be coupled (magnetically coupled). A Hall Effect sensor connected to a digital tachometer can be used to measure agitation. Known weights may be placed in the box 1014 and the box 1014 can be allowed to fall under the influence of gravity. The total friction of the system (fluid drag+friction of the jig bearings+friction of the wheel bearings) arrests the acceleration of the box 1014 and the box 1014 falls at approximately a constant (terminal) velocity. The velocity of the box 1014 is directly related to the agitation through the circumference of the spindle 1010. The total power to drive the system is equal to the product of the velocity of the falling mass, the mass itself, and the gravitational acceleration constant, g.
To perform experiments using the second bioreactor 106 and/or the jig 1002, power inputs to the agitator (the wheel 120) where carefully measured. Traditional measurements using a dynamometer or transmitting torque meter were deemed impractical due to both the very low power levels involved and the magnetically coupled nature of the wheel 120 rotating. Others have noted these measurement challenges under low power scenarios. Furthermore, in this case, there is no vertical shaft running through the system to which to attach traditional instrumentation. Accordingly, a “gravimetric” approach was settled on.
To obtain the data plotted on the graph 1100, measurements were done with the jig 1002 alone to measure the dynamic friction of the jig bearings 1008, with the jig 1002 and the containment vessel 108 empty (to measure the dynamic friction of the jig bearings 1008+the vessel bearings), and with the containment vessel 108 containing water (to measure both of the bearing's friction+impeller drag.) Each measurement was done with multiple weights, and the power versus agitation curves were plotted on the graph 1100. Power or polynomial curve fits were done for the condition when the containment vessel 108 was empty, and these fits were used to interpolate the power for any agitation rate or at least a number of agitation rates. This data was used to subtract the friction when the containment vessel 108 was empty from the total system friction (measured with the containment vessel 108 containing water) to obtain the net power. The net power is equal to the impeller drag or to the net mixing power. These experiments were conducted at approximately 26 degree Celsius using water without microcarriers. Standard equations for un-gassed Newtonian fluids without solids were used to determine impeller Reynolds number and power number. The density and viscosity of the water were assumed to be 1.00 g/ml and 0.0085 g/(cm-sec), respectively.
The measurements performed with the jig 1002 and described above were validated by testing it with a standard impeller/bioreactor geometry, wherein the relationship between power number and Reynolds number is well established. The experimental results could then be compared against the well-established ones (i.e., expected results). The standard impeller/bioreactor geometry chosen was a standard baffled stirred tank with a standard (horizontal) Rushton impeller. For this standard geometry operated in the turbulent regime, the expected power number is 5-6 and the expected exponent on a graph of Log P versus Log N expected is 3, wherein P is the power and N is the agitation rate. Using the measurement system described above, rotated 90 degrees to work with this standard geometry operated in the turbulent regime, the power number measured was 5.55, in the middle of the expected 5-6 range, and the log P vs. log N exponent measured was 3.1, quite close to the expected number of 3. Thus, the measurement system was considered validated and used to measure power for the 0.5 L vertical-wheel bioreactor.
To obtain the data plotted in the graph 1300 of
The correlation shown in
As previously explained, cell aggregates of various cell types have similar diameter and density to plastic microcarriers, such as the Solohill microcarriers used in the suspension studies shown in
Additionally, tests were performed at various scales of vertical-wheel bioreactors and the results show low hydrodynamic shear stress levels on the surface of the wheel 120. The analysis that provided the results 1600 of
The power per mass range of between approximately 2 cm2/sec3 and approximately 3.5 cm2/sec3 is sufficient to suspend cell aggregates and also translates to minimum agitation rates that can create a homogeneous EDR within the vertical-wheel bioreactor. Homogeneous EDR is the prerequisite to a uniform mixing environment, which will promote the formation of uniformly shaped cell aggregates. The size and shape of PSC aggregates have a direct effect on the efficiency of cell expansion and subsequent directed differentiation. If an aggregate becomes too large or misshapen, nutrients or differentiation factors may be unable to diffuse into its center, leading to unwanted cell death or heterogeneous differentiation. A homogeneous mixing environment is conducive to the formation of spherical cell aggregates of equal size. Achieving a narrow range of diameters and uniform spherical shapes for cell aggregates will increase the productivity of both PSCs expansion and differentiation as well as the yield and quality of the target cells as final products.
The results 1700 of
Pneumatically-driven impeller mixing showed homogeneous and EDR that could be scaled from approximately 0.1 L to approximately 500 L working volumes and it can be predicted that magnetically-driven impeller mixing, in the same U-shape containment vessel 104, 108, can achieve similar or the same homogeneity and scalability.
The computational fluid dynamics (CFD) analysis using the first bioreactor 102 and/or the second bioreactor 106 of fluid mixing based on the combination of the vertical-wheel impeller 120 and the U-shaped containment vessel 104, 108 indicates a narrow range of homogeneous turbulent energy dissipation rates throughout the containment vessel 104, 108, as well as consistent hydrodynamic shear stress on the surface of the impeller 120, creating the threshold uniform mixing environment for PSC aggregates. This was confirmed by observing uniform size and shape distribution of PSC aggregates grown in small-scale vertical-wheel bioreactors.
The size and shape of PSC aggregates are significantly affected by the fluid mixing environment inside the bioreactor during a cell culture process. In particular, there is an inverse correlation between EDR and average diameter of resulting cell aggregates: high EDR results in smaller average diameters of cell aggregates, while low EDR results in larger diameters. In order to achieve spherical PSC aggregates of consistent diameter, a narrow range of turbulent EDR is used. A bioreactor such as the first and/or second bioreactors 102, 106 with mixing mechanism (the mixer 116) that results in a broad range of turbulent EDR throughout the bioreactor containment vessel 104, 108 will produce a wide variation of cell aggregate sizes, which can negatively impact efficiency of cell expansion and differentiation.
Referring to both
Referring to
With reference to
At 100 RPM and as shown at reference number 2116 of
There may be a large difference between the maximum and minimum values for velocity, shear stress, and EDR (especially velocity) as power input increases. The maximum and minimum values do not actually provide much input to the bioreactor environment because a small fraction of the bioreactor ever experiences these conditions. What typically affects the bioreactor environment is the average value, and whether a high majority percent of the bioreactor 102, 106 is operating at a reasonable average value that will not negatively impact cell aggregate formation.
The effect of agitation rates on PSC aggregate diameters and corresponding superior biological performance, has been demonstrated at small scale (0.1 L) vertical-wheel bioreactors such as the second bioreactor 106 and compared to STRs. The uniform mixing environment created by a vertical-wheel impeller 120 is in stark contrast to the non-homogeneous environment created by at least some horizontal impeller mixing in stirred-type bioreactors (STRs).
In examples where iPSCs were seeded as single cells and expanded for five days, vertical-wheel mixing such as that provided by the bioreactors 102, 106 disclosed was shown to result in narrower ranges of aggregate diameters and much more uniform aggregates compared to when the horizontal-blade was used. This inverse correlation between the RPMs of the impeller wheel 120 and the cell aggregate diameter was also confirmed using the second bioreactor 106 having a volume of approximately 0.1 L.
The graph 2400 includes a first line 2406 associated with operating the second bioreactor 106 having a volume of approximately 0.1 L at approximately 40 RPMs, a second line 2408 associated with operating the second bioreactor 106 having a volume of approximately 0.1 L at approximately 100 RPMs, a third line 2410 associated with operating the horizontal wheel bioreactor having a volume of approximately 0.5 L at approximately 40 RPMs, a fourth line 2412 associated with operating the horizontal wheel bioreactor having a volume of approximately 0.5 L at approximately 100 RPMs. The first line 2406 has a relatively smooth and sharply sloped distribution without significant bumps (e.g., outliers) and a majority of the EDR values occur before 2.0E-3 and, thus, the EDR values are relatively similar and the cells grown may have similar shapes and/or sizes. The second, third, and fourth lines 2408, 2410, 2412 have more shallow lines and, thus, a broader range of EDR values.
The results show that successful PSC aggregate growth and consistency in 0.1 L bioreactor has been measured to occur when at least 90% of the working volume maintains an energy dissipation rate of 1.30E-2 m2/s3 or less.
Still referring to
40 RPMs corresponds to slightly more than the power per mass range of between approximately 2 cm2/sec3 and approximately 3.5 cm2/sec3 that may be the minimum requirement to fully suspend microcarriers and cell aggregates. While 100 RPMs is on the upper end of what would typically be used for a cell culture process, it still achieves a mixing environment with much more homogeneous EDR and consistently lower shear stress compared to what horizontal-impeller mixing achieves at same agitation rate.
As shown in
Using the volume average values for EDR, it is possible to define operating agitation rates for particular cell culture. For example, if one wanted to define operation between approximately 40 rpm and approximately 80 rpm at the 0.1 L scale, one would operate with a volume average EDR between approximately 5.67E-5 m2/s3 and approximately 1.59E-3 m2/s3. By performing small-scale experiments in the vertical-wheel bioreactors 106, the EDR range that produces desired aggregates of threshold diameter for a given PSC type can be determined, and then the agitation rate to be used to recreate that EDR range at larger scale can be calculated using, for example, the controller 124. This will enable that the PSC aggregates experience a similar or the same mixing environment in any size vertical-wheel bioreactor, which is important for a scalable PSC manufacturing process that will produce high yield and quality of target cells. The uniform mixing environment of vertical-wheel bioreactors promotes scalable formation of uniformly spherical cell aggregates, which enables heterogeneous differentiation to be avoided or deterred. Therefore, vertical-wheel bioreactors 102, 106 are a viable tool for large-scale differentiation of PSC aggregates into high quality target cells.
Advantageously, using the disclosed examples, an upper average EDR value 2614 and a lower average EDR value 2616 can be determined at which the bioreactors 102, 106 of different sizes can be operated to grow cells having similar sizes and/or diameters. In the example shown, a box 2618 is shown on the graph 2600 that bounds the upper and lower EDR values 2614, 2616 allowing an agitation rate to be selected within the box 2618 and on the corresponding line 2606, 2608, 2610, 2612 for the different volumes that grows cells having threshold characteristics (sizes and/or shapes) and achieve cell growth having threshold characteristics.
In the example shown, each of the lines 2644, 2646, 2648, 2650 includes actual EDR data points within the volume of the suspension in the bioreactor 102, 106 and, based on the steep negative slope of the lines 2644, 2646, 2648, 2650, a magnitude of a majority of the actual EDR points have an EDR value of less than approximately 0.0015 m2/s3 (see, reference number 2650). For example, for the first line 2644, approximately 97.57% of the EDR values are positioned between approximately 6.1E-04 m2/s3 (see, reference number 2652) and approximately 1.5E-03 m2/s3 (see, reference number 2654). The 97.57% value is determined by adding the 91.51 volume percent value at approximately 6.1E-04 m2/s3 and the 6.06% value at approximately 1.5E-03 m2/s3. For the first line 2644, approximately 97.57% of the EDR values are positioned between approximately 6.1E-04 m2/s3 (see, reference number 2652) and approximately 1.5E-03 m2/s3 (see, reference number 2654). For the second line 2646, approximately 80.78% of the EDR values are positioned between approximately 6.1E-04 m2/s3 and approximately 1.5E-03 m2/s3. For the third line 2648, approximately 91.98% of the EDR values are positioned between approximately 6.1E-04 m2/s3 and approximately 1.5E-03 m2/s3. For the fourth line 2650, approximately 87.18% of the EDR values are positioned between approximately 6.1E-04 m2/s3 and approximately 1.5E-03 m2/s3.
Chart 1 below includes data obtained from experiments using the disclosed implementations. As shown in the chart, approximately 97.57% of the EDR values are positioned between approximately 0.0 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 having a volume of approximately 0.1 L is operated at approximately 60 RPMs, approximately 80.78% of the EDR values are positioned between approximately 0.0 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 having a volume of approximately 0.5 L is operated at approximately 30 RPMs, approximately 62.21% of the EDR values are positioned between approximately 0.0 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 having a volume of approximately 0.5 L is operated at approximately 40 RPMs, approximately 91.98% of the EDR values are positioned between approximately 0.0 m2/s3 and approximately 1.5E-03 m2/s3 when the first bioreactor 102 having a volume of approximately 3.0 L is operated at approximately 20 RPMs, and approximately 87.18% of the EDR values are positioned between approximately 0.0 m2/s3 and approximately 1.5E-03 m2/s3 when the first bioreactor 102 having a volume of approximately 15 L is operated at approximately 13 RPMs.
Additionally, as shown in the chart, approximately 99.80% of the EDR values are positioned between approximately 0.0 m2/s3 and approximately 1.0E-02 m2/s3 when the second bioreactor 106 having a volume of approximately 0.1 L is operated at approximately 60 RPMs, approximately 95.38% of the EDR values are positioned between approximately 0.0 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 having a volume of approximately 0.5 L is operated at approximately 30 RPMs, approximately 87.72% of the EDR values are positioned between approximately 0.0 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 having a volume of approximately 0.5 L is operated at approximately 40 RPMs, approximately 99.14% of the EDR values are positioned between approximately 0.0 m2/s3 and approximately 1.5E-03 m2/s3 when the first bioreactor 102 having a volume of approximately 3.0 L is operated at approximately 20 RPMs, approximately 96.88% of the EDR values are positioned between approximately 0.0 m2/s3 and approximately 1.5E-03 m2/s3 when the first bioreactor 102 having a volume of approximately 15 L is operated at approximately 13 RPMs, and approximately 62.21% of the EDR values are positioned between approximately 0.0 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 having a volume of approximately 0.5 L is operated at approximately 40 RPMs.
In some implementations, at least approximately 60% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated, for example, at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. For example, in one version approximately 62.21% of the EDR values are less than approximately 1.5E-03 m2/s3 and, more specifically, between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 20% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 20% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 25% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 25% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 30% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 30% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 35% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 35% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 40% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 40% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 45% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 45% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 50% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 50% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 55% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 55% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 60% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 60% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 65% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 65% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 70% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 70% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 75% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 75% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 80% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 80% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 85% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 85% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 90% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 99% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 95% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 95% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 97% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, between approximately 97% and approximately 99% are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes. In other implementations, at least approximately 99% of the EDR values are less than approximately 1.5E-03 m2/s3 when the second bioreactor is being operated, or for example, at least 99% of the EDR values are between approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3 when the second bioreactor 106 is operated at approximately 40 RPMs while being able to grow cells having similar sizes and/or shapes.
More generally, a magnitude of at least approximately 60%, at least approximately 65%, at least approximately 70%, at least approximately 75%, at least approximately 80%, at least approximately 85%, at least approximately 90%, at least approximately 95%, at least approximately 97%, or at least approximately 99% of the plurality of actual EDR data points is less than approximately 0.0015 m2/s3. In other implementations, a percentage of actual EDR data points being (a) less than approximately 0.0015 m2/s3, (b) less than approximately 0.002 m2/s3, (c) less than approximately 0.0025 m2/s3, or (d) less than approximately 0.003 m2/s3 in the second bioreactor during operation of the second bioreactor is in a range of approximately 60% and approximately 99%, approximately 60% and approximately 97%, approximately 60% and approximately 95%, approximately 60% and approximately 90%, approximately 60% and approximately 85%, approximately 60% and approximately 80%, approximately 60% and approximately 75%, approximately 60% and approximately 70%, approximately 60% and approximately 65%, approximately 65% and approximately 99%, approximately 65% and approximately 97%, approximately 65% and approximately 95%, approximately 65% and approximately 90%, approximately 65% and approximately 85%, approximately 65% and approximately 80%, approximately 65% and approximately 75%, approximately 65% and approximately 70%, approximately 70% and approximately 99%, approximately 70% and approximately 97%, approximately 70% and approximately 95%, approximately 70% and approximately 90%, approximately 70% and approximately 85%, approximately 70% and approximately 80%, approximately 70% and approximately 75%, approximately 75% and approximately 99%, approximately 75% and approximately 97%, approximately 75% and approximately 95%, approximately 75% and approximately 90%, approximately 75% and approximately 85%, approximately 75% and approximately 80%, approximately 80% and approximately 99%, approximately 80% and approximately 97%, approximately 80% and approximately 95%, approximately 80% and approximately 90%, approximately 80% and approximately 85%, approximately 85% and approximately 99%, approximately 85% and approximately 97%, approximately 85% and approximately 95%, approximately 85% and approximately 90%, approximately 90% and approximately 99%, approximately 90% and approximately 97%, approximately 90% and approximately 95%, approximately 95% and approximately 99%, or approximately 95% and approximately 97%.
In other implementations, a percentage of actual EDR data points being between (a) approximately 3.0E-04 m2/s3 and approximately 1.5E-03 m2/s3, (b) approximately 3.0E-04 m2/s3 and approximately 0.002 m2/s3, (c) approximately 3.0E-04 m2/s3 and 0.0025 m2/s3, or (d) approximately 3.0E-04 m2/s3 and approximately 0.003 m2/s3 in the second bioreactor during operation of the second bioreactor is in a range of approximately 60% and approximately 99%, approximately 60% and approximately 97%, approximately 60% and approximately 95%, approximately 60% and approximately 90%, approximately 60% and approximately 85%, approximately 60% and approximately 80%, approximately 60% and approximately 75%, approximately 60% and approximately 70%, approximately 60% and approximately 65%, approximately 65% and approximately 99%, approximately 65% and approximately 97%, approximately 65% and approximately 95%, approximately 65% and approximately 90%, approximately 65% and approximately 85%, approximately 65% and approximately 80%, approximately 65% and approximately 75%, approximately 65% and approximately 70%, approximately 70% and approximately 99%, approximately 70% and approximately 97%, approximately 70% and approximately 95%, approximately 70% and approximately 90%, approximately 70% and approximately 85%, approximately 70% and approximately 80%, approximately 70% and approximately 75%, approximately 75% and approximately 99%, approximately 75% and approximately 97%, approximately 75% and approximately 95%, approximately 75% and approximately 90%, approximately 75% and approximately 85%, approximately 75% and approximately 80%, approximately 80% and approximately 99%, approximately 80% and approximately 97%, approximately 80% and approximately 95%, approximately 80% and approximately 90%, approximately 80% and approximately 85%, approximately 85% and approximately 99%, approximately 85% and approximately 97%, approximately 85% and approximately 95%, approximately 85% and approximately 90%, approximately 90% and approximately 99%, approximately 90% and approximately 97%, approximately 90% and approximately 95%, approximately 95% and approximately 99%, or approximately 95% and approximately 97%.
In other implementations, a magnitude of at least approximately 60%, at least approximately 65%, at least approximately 70%, at least approximately 75%, at least approximately 80%, at least approximately 85%, at least approximately 90%, at least approximately 95%, at least approximately 97%, or at least approximately 99% of the plurality of actual EDR data points has an energy dissipation rate value of less than approximately 0.002 m2/s3, less than approximately 0.0025 m2/s3, or less than approximately 0.003 m2/s3.
It should be appreciated that all combinations of the foregoing concepts and additional concepts discussed in greater detail below (provided such concepts are not mutually inconsistent) are contemplated as being part of the subject matter disclosed herein. In particular, all combinations of claimed subject matter appearing at the end of this disclosure are contemplated as being part of the subject matter disclosed herein.
Priority is claimed to U.S. Provisional Patent Application No. 62/966,441, filed Jan. 27, 2020, the entire contents of which are incorporated by reference herein.
Number | Date | Country | |
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62966441 | Jan 2020 | US |