This invention relates in general to calibration techniques, and more particularly, to calibration techniques using a luminescent calibration device.
At present, conventional calibration of optical systems and their target samples can not be done with sufficient accuracy. Typically, in a conventional optical system, calibration of the optical system means determining the lowest or smallest amount of luminescent radiation that can be detected. In the prior art, this is achieved by emitting luminescent radiation and changing an aperture size or limiting the amount of luminescent light that is seen by the detector. When the smallest amount of light is detected, the optical system is considered calibrated. However, while this kind of calibration provides useful information as to sensitivity of the optical system, it does not provide calibration solutions to many different kinds of problems that would make the calibration of the optical system more useful and data sensitive relative to a biologic sample.
For instance, conventional calibration does not address problems of day-to-day variation of an optical system or variations in the biologic sample. These day-to-day variations have a large number of causes and can have profound effects on the interpretation of data. One source of variation can be in the detection system or the optical system where the environment can change the way the detection system performs. For example, changes in environmental conditions such as, but not limited to, humidity, temperature, or the like from day-to-day can change the performance of the detection system. Additionally, environmental changes can also change the performance of the biological sample. Thus, affecting the ability of being able to correlate or compare one set of data to another set of data.
In another example of a problem, day-to-day variations in voltage from power supplies that provide power to both the detection system and a radiation emitting system can affect both the detection system and the emitting system, and thus provide variation in the data that is taken and analyzed. Moreover, it should be noted that because of these day-to-day variations, the data that is collected has an inherent uncertainty and variation in it that may skew and affect the analysis of the collected data.
In yet another example of a problem, day-to-day degradation over time of the optical detection system and the light emitting system can not be taken into account with the present state of the art. Additionally, comparison of an earlier data set to a later data can not be accurately achieved. In both the light emitting system and the optical detection system, there are many causes of degradation such as, but not limited to, chemical and physical fatigue of the emitting source and detection system, diffusion of unwanted gases into the emitting chamber and the detection materials, and the like. Since these changes occur gradually over time, the changes are not noticed and are not corrected. This leads to inaccurate data acquisition and interpretation of the collected data. Moreover, comparing the data over time is extremely difficult, if not impossible, to do in some meaningful way.
It can be readily seen that conventional calibration techniques and optical systems have several disadvantages and problems. These problems and disadvantages do not allow for sufficient precision and full utilization of all the data. Therefore a calibration system for reducing variation in the optical system and data would be highly desirable.
The foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the invention, as defined in the appended claims.
A method for normalizing variability in an optical system is described wherein a luminescent standard and a luminescent experimental sample are provided. The luminescent standard and luminescent experimental sample are illuminated with a light. The luminescent light is collected and analyzed, with the luminescent light from the luminescent standard given a first value and stored and the luminescent light from the luminescent experimental sample given a second value and stored. A second luminescent experimental sample and the same luminescent standard are illuminated with a light. The light is absorbed by the same luminescent standard and the luminescent second experimental sample and re-emitted as luminescent light. The luminescent light is collected and analyzed, with the luminescent light from the same luminescent standard given a third value and stored and the luminescent light from the luminescent second experimental sample given a fourth value and stored. The values are normalized by establishing a relationship between the first value from the luminescent standard and the third value of the same luminescent standard, thus generating a correction factor. The correction factor is used to normalize the fourth value to the second value of the first luminescent sample.
It is another aspect of the invention, to provide a luminescent calibration device. The luminescent calibration device includes a housing having a length, width, and thickness with a luminescent standard being disposed on or in the housing.
It is another aspect of the invention, to provide a luminescent calibration device integrated into an experimental sample.
It is another aspect of the invention, to be able to normalize data over multiple experiments.
It is another aspect of the invention, to remove day-to-day variability from the processing and interpretation of optical data.
It is another aspect of the invention, to provide a non-varying luminescent standard.
It is another aspect of the invention to relate experimental results across time.
The foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the invention, as defined in the appended claims.
Representative elements, operational features, applications and/or advantages of the present invention reside inter alia in the details of construction and operation as more fully hereafter depicted, described and claimed—reference being made to the accompanying drawings forming a part hereof, wherein like numerals refer to like parts throughout. Other elements, operational features, applications and/or advantages will become apparent to skilled artisans in light of certain exemplary embodiments recited in the Detailed Description, wherein:
Those skilled in the art will appreciate that elements in the Figures are illustrated for simplicity and clarity and have not necessarily been drawn to scale. For example, the dimensions of some of the elements in the Figures may be exaggerated relative to other elements to help improve understanding of various embodiments of the present invention. Furthermore, the terms ‘first’, ‘second’, and the like herein, if any, are used inter alia for distinguishing between similar elements and not necessarily for describing a sequential or chronological order. Moreover, the terms front, back, top, bottom, over, under, and the like in the description and/or in the claims, if any, are generally employed for descriptive purposes and not necessarily for comprehensively describing exclusive relative position. Skilled artisans will therefore understand that any of the preceding terms so used may be interchanged under appropriate circumstances such that various embodiments of the invention described herein, for example, are capable of operation in other orientations than those explicitly illustrated or otherwise described.
The following descriptions are of exemplary embodiments of the invention and the inventors' conceptions of the best mode and are not intended to limit the scope, applicability or configuration of the invention in any way. Rather, the following Description is intended to provide convenient illustrations for implementing various embodiments of the invention. As will become apparent, changes may be made in the function and/or arrangement of any of the elements described in the disclosed exemplary embodiments without departing from the spirit and scope of the invention.
Before addressing details of the embodiment described below, some terms are clarified.
As used herein, the terms “comprises,” “comprising,” “includes,” “including,” “has,” “having” or any other variation thereof, are intended to cover a non-exclusive inclusion. For example, a process, method, article, or apparatus that comprises a list of elements is not necessarily limited to only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Further, unless expressly stated to the contrary, “or” refers to an inclusive or and not to an exclusive or. For example, a condition A or B is satisfied by any one of the following: A is true (or present) and B is false (or not present), A is false (or not present) and B is true (or present), and both A and B are true (or present).
Also, use of the “a” or “an” are employed to describe elements and components of the invention. This is done merely for convenience and to give a general sense of the invention. This description should be read to include one or at least one and the singular also includes the plural unless it is obvious that it is meant otherwise.
Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. Although methods and materials similar or equivalent to those described herein can be used in the practice or testing of the present invention, suitable methods and materials are described below. All publications, patent applications, patents, and other references mentioned herein are incorporated by reference in their entirety. In case of conflict, the present specification, including definitions, will control. In addition, the materials, methods, and examples are illustrative only and not intended to be limiting.
The term housing is intended to mean a structure that supports a luminescent standard. The housing can be made to any suitable shape and size depending upon the specific application. The housing can range from a simple support on which the luminescent standard is placed to a support that holds the luminescent standard.
Luminescence is intended to mean a process in which energy is emitted from a material at a wavelength or frequency. Thus, luminescence includes fluorescence, phosphorescence, triboluminescence, chemiluminescence, opalescence, thermoluminescence, self-luminescence, radioactive luminescense, electroluminscense, and the like.
Fluorescence is intended to mean a process in which a material absorbs energy at a certain wavelength or frequency and the material emits energy at a longer wavelength or frequency.
As shown in
As shown in
Dark room enclosure 102 incorporates an image device 118 with a filter wheel 126 having individual filters with a filter 128 indicated. Image device 118 can be any suitable imaging device such as a charged-coupled device (CCD) camera, a photomultiplier tube (PMT), photodiode, a single photodectector chip, multiple photodetector chips, or the like. Filter 128 can be placed in front of image device 118 to filter or remove unwanted frequencies of light. It should be understood that selection of filter 128 is application specific and in some cases does not need to be used at all. Image device 118 collects photons that are emitted from luminescent calibration device 108 and sample 122. As the photons and/or images are collected by image device 118 and turned into electrical signals, these electrical signals are sent to data analysis system 104 by any suitable manner such as, but not limited to, directly connecting to data analysis system 104, or wirelessly connecting, or the like. As shown in
Data analysis system 104 can be any suitable system and accessories that are capable of taking data from image device 118 and manipulating the data in a variety of ways. Typically, data analysis systems 104 use a computer 130. However, it should be understood that other computer systems can be use as well such as main frames, mid frames, a single integrated circuit, or a combination of integrated circuits, or the like. Typically, computer 130 includes a processor, memory such as random access memory (RAM), Read Only Memory (ROM), drive elements such as a hard drive, floppy disc drive, and optical elements such as a Compact Disc drive (CD), a Digital Video Disk (DVD) and the like. Additionally, computer 130 typically has a display 132, a keyboard 134, and a mouse 136. Computer 130 can contain additionally hardware and software, calibration software, and imaging processing logic for processing data from image device 118. While computer 130 with several accessories has been described, it should be understood that specific hardware and software can be modified so as to fit into a module that may contain one or more integrated circuits or the like.
Housing 202 is made of any suitable material such as, but not limited to, polymer resins or plastics, metal, ceramic, glass, and or the like, and is made by any suitable method or technique such as, but not limited to, molding, cutting, dieing, milling, stamping, or the like. Selection of the materials and manufacturing techniques can provide certain advantages and flexibilities to manufacture and use of luminescent calibration slide 200. By way of example only, use of polymer resins and molding technology can greatly reduce the cost to manufacture and provide several other advantages. For example, housing 202 can be molded with an optically clear resin over luminescent standards 204, 206, and 208, thereby protecting the luminescent standards 204, 206, and 208. Additionally, by adjusting the chemical structure of the resin, an optical filter can be made over luminescent standards 204, 206, and 208. Further, by molding in certain optical structures such as, but not limited to, a lens, a grating, a waveguide, or the like, luminescent calibration slide 200 can be made more useful.
Housing 202 can be made to any suitable size having a length 210, a width 214, and a thickness 212 depending on the specific application. By way of example only, length 210, width 214, and thickness 212 can range widely, with length 210 ranging from 2.0 centimeters to 25.0 centimeter, width 214 ranging from 5.0 millimeters to 5.0 centimeters, and thickness 212 ranging from 5.0 millimeters to 2.0 centimeters. Further, housing 202 can be made to any suitable shape or shapes such as, but not limited to, a rectangle, an oval, a square, circular, or the like.
For example, when working with electrophoresis gels, it may be desirable to have length 210 approximate the length of the electrophoresis gel sample. More specifically, while it should be understood that housing 202 can be any suitable size, several gel sizes have become standard in the art. For example, at present, electrophoresis gels can range from 10 by 10 centimeters to 30 by 30 centimeters. Thus, in some instances, housing 202 can be made to approximate at least one side of the electrophoresis gel. Additionally, it should be understood that housing 202 can be sized to be on the order of microscope slides having an approximate size of 3.5 by 7.2 centimeters or smaller. Thus, housing 202 can be made approximating the size of the microscope slide. Alternatively, it should be understood that luminescent material could be adapted to be microscopic in nature. Thus, the luminescent material could be place directly on a microscope slide. It should be understood that micro-fluidic devices and micro-electrophoresis gels are fully contemplated to be within the scope of the present invention.
Luminescent standards 204, 206, and 208 can be made of any suitable luminescent material such as, but not limited to, luminescent ceramics, phosphors, electroluminescent materials, luminescent glasses, quantum dots, luminescent plastics, or the like. It should be understood that luminescent standards 204, 206, and 208 can be laid out on any suitable substrate that that gives support. Also, when light 216 or 218 has to pass though the substrate and any intervening material, the substrate and the intervening material must be engineered to be able to allow desired wavelengths of light to pass though the substrate and intervening material. The luminescence from these luminescent materials do not appreciably degrade or diminish over time. The luminescent materials can be repeatedly exposed to the same constant energy source, in the form of light with a first wavelength and the luminescent material responds with luminescence at a second wavelength regardless of the number of times the luminescent material is exposed. Additionally, it should be understood that some luminescent material use other forms of energy to produce luminance.
For example, with light 216 having a first wavelength and a first intensity that strikes and is absorbed by luminescent standard 204, luminescent standard 204 emits a light 220 having a second wavelength and a second intensity. When luminescent standard 204 is repeatedly challenged over time with the first wavelength and the first intensity of light 216, luminescent standard 204 emits light 220 have the same wavelength and intensity as the original light 220. Additionally, when luminescent standard 204 is challenged with a second light having the same wavelength and a different intensity, luminescent standard 204 fluoresces with the same wavelength, but with proportional shift in intensity. Hence, luminescent standard 204 is a stable, repeatable, and predictable standard of luminescence.
Luminescent standards 204, 206, and 208 can be made to emit light at any suitable wavelength. Typically, emission can range between, but not limited to, 400 nanometers to 1200 nanometers. In some embodiments of the present invention, with luminescent standard 204 being excited by light 216 and/or 218 from either or both trans or epi positions, wavelengths can have a more narrow range from 172 nanometers to 800 nanometers.
The luminescent material that makes up luminescent standards 204, 206, and 208 can be made into any suitable configuration or medium such as a powder, sheets, or the like. Thus, the luminescent material can be applied, embedded, suspended or formed into any suitable shape or form. The luminescent material can be made into either an opaque or translucent material. The luminescent material can be purchased from Matech located at 31304 Via Colinas, Suite 102, Westlake Village, Calif. 91362. Additionally, other luminescent materials can be purchased from Colliminated Holes Incorporated located at 460 Division Street, Campbell, Calif., 95008, Quantum Dot located at 26118 Research Road, Hayward, Calif., 94545, Evident Technologies located at 216 River Street, New York, 12180, Duke Scientific located at 2463 Faber Place, Palo Alto, Calif., 94303, and Molecular Probes located at 29851 Willow Creek, Eugene, Oreg. 97402.
Luminescent standards 204, 206, and 208 are disposed on housing 202 in any suitable manner such as, but not limited to, adhesion, molding, clamping, or the like. However, it should be understood that in certain embodiments selection of materials for attaching luminescent standards 204, 206, and 208 on housing 202 need to be selected with care. For instance, when light 216 or 218 has to pass thought an adhesive material, the adhesive material must be engineered to be able to allow desired wavelengths of light to pass though the adhesive.
In one embodiment of luminescent calibration slide 200, with housing 202 being opaque, luminescent standard 204 being affixed to surface 228, and with luminescent standard 204 being either opaque or translucent, light 216 coming from the top (EPI position) strikes and is absorbed by luminescent standard 204. Luminescent standard 204 fluoresces and reemits light 220.
However, it should be understood that housing 202 could be transparent for certain applications.
In another embodiment of luminescent calibration slide 200, with housing being opaque, with luminescent standard 204 being affixed to surface 228, and with luminescent standard 204 being translucent, light 216 coming from the top (EPI position) and/or bottom (Trans position), light 218 coming from the bottom (Trans position) strikes and is absorbed by luminescent standard 204. Luminescent standard 204 fluoresces and light 216 and 218 is re-emitted as light 220 and 224.
Placement of luminescent standards 204, 206, and 208 across housing define certain distances and relationships. Using fluorescent standard 208 in an example, distances 234 and 236 are defined as spaces between fluorescent material 208 and edges 240 and 242 of housing 202. By way of example only, with luminescent standard being about 1.0 centimeter square, distances 234 and 236 can be any suitable distance ranging from 0.0 to 3.0 centimeters, or more.
As shown in
As shown in
Electrophoresis gel samples 402, 404, and 502 are made by any suitable manner or technique. Briefly, electrophoresis is a method or technique for separating chemicals or molecules of interest in a sample by charge and mass. Electrophoresis gel samples 402, 404, and 502 are made of any suitable gel material such as, but not limited, colloids materials, polyacrylamide materials, agarose materials, or the like. As shown in
Sample preparations are made by any suitable well known method in the art such as homogenization, lysis, or the like. Typically, controls having known values including size, weight and fluorescence are prepared and run along with the sample preparations in one or more columns, e.g., the plurality of columns 406 and 506. These controls may provide known quantities of materials or molecular weights that allow analysis of unknown samples. Some sample preparation methods include fluorescent tagging of certain chemicals or molecules so as to enhance detection of the desired chemical or molecule. However, it should be understood that if there is sufficient inherent natural fluorescence of the desired chemical or molecule, tagging with a fluorescent marker may not be necessary. The prepared samples and controls are placed in wells (not shown) on ends 466, 470 and 520 of electrophoresis gel samples 402, 404, and 502. The wells correspond in position to the plurality of columns 410-436 and 510-522. A voltage is applied between ends 466 and 468, 470 and 472, and 520 and 530 which drives the samples and controls though the gel and separates the samples and controls in accordance their size and charge. After a period of time, the chemicals and molecules in the samples and controls have migrated and separated across the electrophoresis gel 402, thereby making bands, e.g., bands 446-454 and the plurality of bands 438 in the electrophoresis gels 402, 404, and 502 having high densities of specific molecules and/or chemicals.
Referring now to
By way of example only, when light 216 strikes luminescent standard 204 and electrophoresis gel sample 402, luminescent standard 204, the plurality of bands 438 and 440, and bands 446-454 of electrophoresis gel sample 402 fluoresce. The fluorescence from luminescent standard 204 and electrophoresis gel sample 402 is captured by image device 118 and turned into pixels. These pixels are digitally processed by a computer software program and stored in computer 130 so as to form an image of luminescent standard 204 and electrophoresis gel sample 402, as well as calculating pixel-volumes for luminescent standard 204 and for each individual fluorescent bands of the plurality of bands 438 and 440 and bands 446-454 and stores these pixel-volumes or pixel-values in the memory of computer 130. A variety of metrics can be used to represent pixel-volume. One method of doing so for a luminescent object is adding gray-levels of all pixels which form that object. In another method, one could represent pixel-volume by taking an average (mean) of the grey levels.
By way of example only, for the sake of simplicity and clarity, concerning only luminescent standard 204 and band 446, pixel-volumes for luminescent standard 204 and band 446 are calculated, stored, represented in a mathematical form and labeled VFS1 and VS1, respectively. It should be understood that each individual band of the plurality of bands 438 and 440 and bands 446-454 would each receive individual values and be labeled and stored. Also, by storing the images and the pixel-volumes of luminescent standard 204, the plurality of bands 438 and 440, and bands 446-454, the images and volumes are easily reviewed and capable of being further manipulated by software in computer 130.
Since electrophoresis gel sample 402 may be a result of only one of several experiments that are carried out over time, e.g., identical experiments are often performed to gather statistical significance, it is important to be able to normalize one experimental electrophoresis gel sample to other subsequent experimental electrophoresis gel samples carried out over time. By way of example, in a second experiment, a second electrophoresis gel sample is prepared as previously described. The second electrophoresis gel sample is analyzed and evaluated as previously described with luminescent standard 204, thereby generating pixel-volumes, VFS2 and VS2, respectively.
Since the fluorescence of luminescent standard 204 does not appreciably change over time for a given amount of input light, a relationship is made between the first pixel-volume of luminescent standard 204 and the second second-pixel-volume of luminescent standard 204. By making this relationship, a correction factor is generated, whereby experiments and data can be normalized across numerous experiments and time. If the luminescence response curve of the sample representing an area or a spot being normalized is linear or approximating linear, then the following equation provides a mathematical representation for calculating and using the correction factor:
The correction factor is calculated by dividing the original pixel-volume from luminescent standard 204 (VFS1) by a subsequent reading of luminescent standard 204 (VFS2) while another sample or other samples VS2 are read at that same time as the subsequent reading of luminescent standard 204 (VFS2). Once the correction factor has been calculated, normalization of other luminescent samples (VS2) such as band 446 can be achieved by multiplying the correction factor and the particular sample together to yield a normalized sample value (VNS), as shown above.
Additionally, variation due to day-to-day variability of equipment and environmental factors play an important part in the over all variability of the data and since this variability can confound and confuse results taken over time, using this embodiment of the invention, wrings out those variables so that a more accurate and repeatable results can be realized.
It should be understood that by using an embodiment of the present invention, normalizing and/or comparing one band to other bands can also be accomplished in a similar method as described above. Additionally, the normalizing and/or comparing can be achieved in a single sample or across many samples.
As shown in
Calculation of the correction factor for calibration and normalization of micro-wells is accomplished as described in
As shown in box 704, a light source, typically an ultra violet light source is used to illuminate luminescent standard 204 and electrophoresis sample 402. The light is absorbed by luminescent standard 204 and by certain parts of electrophoresis gel sample 502 which causes luminescent standard 204 and the certain portions of electrophoresis gel 502 to fluoresce. The certain portions of the electrophoresis gel 402 fluoresce as in bands 446-454.
As shown in box 706, with luminescent standard 204 and electrophoresis sample 402 fluorescing, image device 118 takes an image of luminescent standard 204 and electrophoresis sample 402 and converts the images to electrical signals. The electrical signals are sent via cable 127 to computer 130. The converted optical images are stored in computer 130 and are capable of being manipulated by the software. The software identifies and resolves the plurality of columns 406 with the plurality of bands 438 and 440, bands 446-454, and luminescent standard 204.
After identification and resolution, the software calculates the individual pixel-volume of the plurality of bands 438 and 440, bands 446-454, and for luminescent standard 204. For the sake of clarity, on band 446 and luminescent standard 204 will be discussed in detail where necessary. The software then stores and labels the pixel-volumes for luminescent standard 204 and band 446 as VFS1 and VS1 in computer 130.
As shown in box 708, luminescent standard 204 and a second electrophoresis sample are then placed into dark room enclosure 102 within the optical field of imaging device 118 at some later time. As previously stated, optical reading system 100 is turned on and prepared for capture and analysis of optical data. This preparation may involve launching imaging and acquisition software. The process flow begins by placing luminescent calibration device 200 and the second electrophoresis gel sample into dark room enclosure 102.
As shown in box 710, a light source, typically an ultra violet light source is used to illuminate luminescent standard 204 and the second electrophoresis sample. The light is absorbed by luminescent standard 204 and by certain portions of the second electrophoresis gel sample, which causes luminescent standard 204 and the certain portions of the second electrophoresis gel sample to fluoresce.
As shown in box 712, with luminescent standard 204 and the second electrophoresis sample fluorescing, image device 118 takes an image of luminescent standard 204 and the second electrophoresis sample and converts the images to electrical signals. The electrical signals are sent via cable 127 to computer 130. The converted optical images are stored in computer 130 and are capable of being manipulated by the software. The software identifies and resolves the second plurality of columns with their associated bands and luminescent standard 204.
After identification, the software calculates individual volume of bands 446-454 and luminescent standard 204. As previously described in
As shown in box 714, the normalization process can be repeated at any time, thereby adding flexibility without degrading experimental accuracy and repeatability.
The following specific examples are meant to illustrate and not limit the scope of the invention. The following examples were performed with an equipment set including: AutoChemi™ Bioimaging System manufactured by UVP Inc., FirstLight uniform UV Illuminator manufactured by UVP Inc., a 12-bit camera (model C8484-03G) manufactured by Hamamatusu Phontonics, a lens manufactured by Computar Corp., Polyacrylamide gels manufactured by Bio-Rad, a fluorescent stain Sypro Ruby manufactured by Molecular Probes, calculation software distributed by UVP Inc.
As shown in
In these experiments, “mean gray levels” (MGL) are used to represent the luminescence of bodies in consideration.
Example 1 demonstrates that there is system variation over time. In this experiment, luminescent standard 204 and electrophoreses gel 402 are placed into darkroom enclosure 102 and processed as described in
For the sake of clarity and simplicity, data from luminescent standard 204 and bands 446 and 526 will be used. The luminescent standard 204 and electrophoresis gel was removed for an X amount of time. The same luminescent standard 204 and same electrophoresis gel (shown as electrophoresis gel 502 on
The MGL values of luminescent standard 204 and corresponding bands were compared as shown in Table 1.
The MGL values of luminescent standard 204 and bands 446 and 526 produce different values when the same materials are imaged at different times. Additionally, this data can be turned into ratios as shown below.
Ratio of FRSs (FIG. 4/FIG. 5)=2038.13/1434.74=1.4
Ratio of Bands (446/526)=2399.6/1864=1.3
As can be seen from Table 1 and the ratios above, MGL values can shift significantly over time. Moreover, the MGL values and the ratios shift proportionally across corresponding standards and bands. This shift in values can cause errors in interpreting data if not considered and normalized.
Example 2 demonstrates the normalization of two different electrophoresis gels 502 and 404. In this example, electrophoresis gel 404 has been processed in the same manner as electrophoresis gel 402 in
For the sake of simplicity and clarity, the data from luminescent standard 204 taken with electrophoresis gel 502 in
The MGL values recorded as described above are compared as shown in Table 2.
Normalization of band 526 to relate it to the first experiment shown in electrophoresis gel 402 is accomplished by using the following formula:
Where FRS#1 is the MGL value of luminescent standard 204 in
For the basic normalization process used in this example to hold true, the response curve of intensity of wavelengths emitted with respect to intensity of excitation/incident light must be largely linear for the luminescent body being normalized. Such a curve is already known to be linear for luminescent standard 204 being used here. However, to calibrate luminescent samples having a high dynamic range, the response should be modeled as curvilinear and a curvilinear calibration method may be required, wherein the following equation can be used:
where F(x) is the curvilinear response curve of the luminescent sample, where VFS1 is the value for the first luminescent standard, where VFS2 is the value of the second luminescent standard, where VS2 is the value of the second luminescent sample, and where VNS is the normalized value of the second luminescent sample.
Using the normalization process described, luminescence from the sample in question can be normalized relative to:
In the foregoing specification and examples, the invention has been described with reference to specific embodiments. However, one of ordinary skill in the art appreciates that various modification and changes can be made without departing from the scope of the invention as set forth in the claims below. Accordingly, the specification and figures are to be regarded in an illustrative rather than a restrictive sense and all such modifications are intended to be included within the scope of the invention.
Benefits, other advantages, and solutions to problems have been described above with regard to specific embodiments. However, the benefits, advantages solutions to problems, and any element(s) that may cause any benefit, advantage, or solution to occur to become more pronounced are not to be construed as a critical, required, or essential feature or element of any or all claims.
In the foregoing specification, the invention has been described with reference to specific exemplary embodiments; however, it will be appreciated that various modifications and changes may be made without departing from the scope of the present invention as set forth in the claims below. The specification and figures are to be regarded in an illustrative manner, rather than a restrictive one and all such modifications are intended to be included within the scope of the present invention. Accordingly, the scope of the invention should be determined by the claims appended hereto and their legal equivalents rather than by merely the examples described above. For example, the steps recited in any method or process claims may be executed in any order and are not limited to the specific order presented in the claims. Additionally, the components and/or elements recited in any apparatus claims may be assembled or otherwise operationally configured in a variety of permutations to produce substantially the same result as the present invention and are accordingly not limited to the specific configuration recited in the claims.
Other combinations and/or modifications of the above-described structures, arrangements, applications, proportions, elements, materials or components used in the practice of the present invention, in addition to those not specifically recited, may be varied or otherwise particularly adapted by those skilled in the art to specific environments, manufacturing specifications, design parameters or other operating requirements without departing from the general principles of the same.