Among various types vascular assist devices (VAD), the linear flow blood pump (U.S. Pat. No. 6,361,292 B1) has the sole advantage of moving blood forward without using valves. It also has the means for controlling the pressure and flow volume separately. These advantages and means can be utilized to restore some damaged heart to good health. Thus an linear flow blood pump can be used as the foundation of an enhanced vascular assist device (EVAD), which not only can delay the need of a heart transplantation, but also may eliminate the need of heart transplantation altogether by restoring the native heart to good health.
The pumping motion of a linear flow blood pump is carried out through the relative motion of two elements. An outer element, and an inner element. In the device described in U.S. Pat. No. 6,361,292 B1, the outer element is rotated by an electrical motor, with the inner element following the outer element movement. In the present application, the inner element is driven with the outer element following the inner element movement. Both versions are worth developing because of their complementary advantages.
The invention herein is a ventricular assistive device based on a progressive cavity pump having an outer element, an inner element with a drive shaft, and a sealing bearing at the driving end of the drive shaft. In addition to its normal functions, the sealing bearing meets the following objectives:
The above are accomplished by means of:
The main advantage of the present invention is its complete separation of the drive motor from blood, and thereby a Brushless d. c. motor (BLDC) can be used to drive and to control the pump operations. Since either a d. c. battery or a d. c. storage battery is used as the power source, direct use of a BLDC represents substantial cost and weight savings, as well as simplicity and reliability.
In the detailed description, we follow the following sequence:
1. Mathematical Description
1.1 Normal Operation of a Moineau Pump
1.2 Preferred Embodiment of the Invention
2. The concept of Surface Affinity
3. Detailed Discussion of the Figures.
1. Mathematical Description
1.1 Normal Operation of a Moineau Pump
In normal pump operation, the stator is stationary, and the rotor rotates. Since at every axial position, z, the rotor is circular, we can describe the rotor movement by its center r, where r is a complex value r=x+jy:
r=Eej(θ−k)+Ee−jθ (1)
In (1), E is the pump eccentricity, θ is a time variable, and k is related to the rotor pitch pr:
where n is the number of rotor revolutions per second, and pr is the rotor pitch length: kz increases by 2π, with each increase of z by pr.
In (1), the first term on the right hand side represents rotor rotations, and the second term represents the rotor movement as a whole, or mutation. The direction of mutation is opposite to that of rotation, and is a result of rotor stator interaction. The stator contour is generated to fit into the rotor motion. Equation (1) can be rewritten as:
r=Ee−jkz/2(ej(θ−kz/2)+e−j(θ−kz/2))=2Ed−jkz/2 cos(θ−kz/2) (4)
Equation (4) has the following significances: (a) It represents the way Moineau pump stator is built. At each value of z, the rotor movement defines an envelope with one semi-circle of diameter D at each end, where D is the rotor cross-sectional diameter, with two connecting lines of 4E on each side. (b) The longitudinal direction of the stator rotates with z. As kz/2 increases by 27π, the stator returns to its original direction, ie:
Thus the stator pitch ps is twice the rotor pitch. In common usage among pump engineers, ps is also referred to as pump pitch, or P. Thus we shall adopt this usage from now on. (c) At any value of z, the stator is separated into two areas by the rotor. As z varies two closed pockets are formed. The terminal values of z for one pocket is given by
Solving z from (6) gives
Equation (7) gives the two terminal values of z forming a single closed pocket:
As the two terminals move with θ, the whole pocket moves with θ in the direction of increasing z. The central point of the pocket is given by
Equation (10) can be rewritten as
From (11), we see that the pocket moves forward by one stator pitch P with each revolution. The pump output volume is given by
V=nP(statorarea−rotorarea)=nP(eDE)=4π(DEP) (12)
Equation (12) is the well known Moineau pump output equation. Since zc is the central point of a closed pump pocket, we can use zc to represent the pump pocket. Substituting zc for z in (4) gives the rotational motion of zc
rc=2Ee−jθ (13)
1.2 Preferred Embodiment of the Invention
If we rotate the entire system including both the rotor and the stator by an angle ejθ, the output volume remain the same as (12). However the actual rotor speed N is
N=n+n=2n (14)
Expressing (12) in terms of N gives
V=2NDEP (15)
To determine the pump pocket motion, we obtain from (13):
ejθrc=2E (16)
Thus the stator rotates at the speed of n which is the same as N/2 revolutions per second about the r=0 axis. We shall refer to the r=0 axis as the central axis. Equation (16) shows that the pump pocket forward movement does not rotate and its forward motion is given by (11). The pump pocket's rotational motion is obtained by substituting zc for z in (13). Since θ−kzc/2=0, (13) yields
ejθrc=2E (17)
Equation (17) means that in the rotational system there is no rotational movement of the pump pockets. Combining ( 11) and (17), we see that in the rotational system, the pump pockets move straight forward at speed Pn.
2. The Concept of Surface Affinity
The concept of surface affinity is very pertinent to the present invention, but it may very well be a novel concept. For instance, if we drop a drop of blood on a glass surface or a steel surface, the drop of blood would spread and stick to the surface. If we wish to get the blood off, we must have the surface washed. On the other hand, if we drop a drop of blood on a Teflon surface, the drop of blood would stay together as a drop. If we tilt he Teflon surface somewhat, the blood would roll off, with no trace left on the Teflon surface. The reason is that there is no surface affinity between blood and Teflon. But there is definitely some surface affinity between blood and most other materials. Now that the steel shaft definitely has some surface affinity. If the bearing material also has surface affinity, blood would spread on both the bearing surface and shaft surface, and seep through readily. If Teflon is used as the bearing material, blood cannot spread on the Teflon surface. With normal clearance between shaft and bearing, blood cannot leak through as a drop either. Then blood may not seep through at all, or at least not as readily. It is with this idea in mind. I looked through various references including CRC's Handbook of Chemistry and Physics, and did not find anything on the concept of surface affinity. Then I felt that maybe I should explain this concept in detail here.
3. Detailed Description of the Figures
There are one stationary system and two rotational systems in
In my preferred embodiment, the components 1, 2, 21, 22, and 23 are made of Teflon, or some other material having zero surface affinity with blood.