Physiologically-based testing system for the mechanical characterization of prosthetic vein valves
© Rittgers et al; licensee BioMed Central Ltd. 2007
Received: 08 March 2007
Accepted: 13 July 2007
Published: 13 July 2007
Due to the relatively limited amount of work done to date on developing prosthetic vein (as opposed to cardiac) valves, advances in this topic require progress in three distinct areas: 1) improved device design, 2) relevant device testing conditions, and, 3) appropriate parameters for evaluation of results. It is the purpose of this paper to address two of these issues (#2 and #3) by: 1) performing a study of normal volunteers to quantify the anatomy and hemodynamic features of healthy venous valves, 2) construction of a 2-step, in vitro testing procedure, which simulates both physiologic and postural conditions seen in the lower extremity venous system, and, 3) defining several modified and new parameters which quantify dynamic valve characteristics.
Although over 50 designs for prosthetic cardiac valves have been put forward over the past 40+ years and extensive testing performed on many of these devices resulting in millions of valves being implanted in patients , only a handful of concepts have been put forward for a prosthetic venous valve [2–7] and only 1 or two devices have reached clinical trials as yet . Simultaneously, it is estimated that between 6–7 million patients suffer from chronic venous insufficiency [CVI] of the legs with approximately 900,000 new patients be diagnosed annually in the United States . Of these, about 1–2% will develop venous stasis ulcers of the lower extremities with many of them potentially benefiting from a satisfactory venous implant.
Thus, there remains a large, unmet demand for a functioning prosthetic vein valve, particularly one designed for implant into the proximal veins. The overall objectives of this study, then, were to create a prosthetic vein valve capable of successful clinical implantation which would: 1) provide minimal resistance to antegrade flow, 2) re-establish prevention of reflux flow, and, 3) remain patent for a minimum time period. To accomplish this, several novel designs of a valve frame and leaflet component were conceived which then required evaluation under relevant venous conditions. Thus, in vitro testing systems were developed to provide physiologic conditions under typical postural positions appropriate for a valve in the common femoral vein (CFV) position. Measurements were made of standard dynamic variables and both traditional and novel parameters were also derived from these data.
Previous related work was done by Hasaniya who used a rudimentary system to evaluate a vein valve constructed out of bovine jugular vein . His approach was to simply place the construct vertically into a closed dynamic flow system such that the leaflet operation could be observed under ultrasound imaging. The valve system was "evaluated continuously at various pressures", including 200–260 mmHg.
One of the more detailed systems was described by Qui et al.  who evaluated the fluid dynamics of two venous valve models made from bovine jugular vein valves. The system had the ability to control the steady forward flow through a horizontally mounted, 25 mm ID valve test section by adjusting the height of a downstream reservoir (up to 20 cm) relative to that of an upstream reservoir (fixed at 30 cm). Oscillatory effects were introduced by a third tank placed downstream and mounted on a rotary wheel such that it induced an additional backpressure from 0 to 13.5 cm H2O. This feature was designed to simulate respiratory and/or muscle pump actions. Flow was measured using an EMF, pressure was monitored at a single point immediately downstream of the valve and a glycerin in water blood analog fluid was used. Valve opening area was measured using the electric current generated by a photo detector that sensed the amount of light intensity from a He-Ne laser beam expanded to 15 mm diameter that was able to pass through the valve along its axis. Axial velocities upstream of the valve, at the valve exit, and 2 cm downstream of the valve exit were measured with a 4 W Argon-ion laser Doppler anemometer. This system was used to test a stented, formaldehyde treated bovine jugular vein valve and a stentless bovine jugular vein valve conduit. Their results confirmed the theory that vein valves are operated by a pressure differential rather than flow and that no reflux is needed to completely close the valve. Additionally, it was shown that the vein valve sinus expands rapidly upon backpressure, which was deemed to be a critical characteristic to consider when designing prosthetic venous valves.
A number of other studies have been performed where compliant tubing was used to contain the valve [11–14]. In particular, Raju et al. [15, 16] showed that a collapsible tube helps to buffer pressure variations in the vein and, upon closure of the valve, the tube below the valve collapses, producing venous pressure reduction. More recently, Buescher et al.  tested thin-walled latex and polyurethane film vein valves placed in a 12.7 mm latex tube which was mounted vertically and exposed to flow moving in either the antegrade or retrograde directions (depending upon input/output connections) between an arterial and a venous reservoir. A fluid medium (either 0.9% saline or 42 wt% glycerin solution) was gradually drained from the arterial reservoir into the venous reservoir over a height variation that produced flow rates from 0 to 15 ml/s. Measurements were made of the mass flow rate, various pressures including the differential pressure across the valve, and cross-sectional images from an arthroscopic camera. The primary output variable analyzed was the competency, C, which was defined as the percent ratio of the antegrade minus the retrograde flow rate divided by the antegrade flow rate to evaluate the effects of leaflet gap widths and sinus sizes.
A study was first performed on normal volunteers to quantify the anatomy and dynamics of healthy venous valves (The University of Akron Institutional Review Board, Application #20040140). A total of eleven superficial (SFV) and common femoral veins (CFV) in eight individuals were non-invasively examined using a Duplex ultrasound scanner (Siemens Medical System Incorporated, Ultrasound Group, Issaquah, WA). Because venous dynamics are a function of both hydrostatic and transmural pressures, measurements were taken under a combination of postural positions and physiologic conditions. For example, venous pressures significantly increase by: 1) elevating from a supine to a standing position, 2) inducing gait via the activation of the skeletal muscle pump, and, 3) breathing through changes in intrathoracic pressure. Thus, measurements were taken under various postural and dynamic conditions, including supine breathing, supine ankle flexion, standing breathing, and standing ankle flexion. Measurements were also taken during a Valsalva maneuver, which is defined as an attempt to forcibly exhale while keeping the glottis closed. This is an extreme condition in which the thoracic vena cava collapses leading to the application of a high retrograde pressure to the most proximal venous valves. Parameters obtained using B-mode imaging included CFV diameter, presence or absence of valve sinuses, SFV diameter, leaflet length, and SFV leaflet to wall angle. Peak SFV augmentation velocity and cycle period were obtained from the single channel pulse Doppler mode. Other parameters were derived from the raw data and included: leaflet to SFV diameter ratio, SFV area, SFV flow rate, SFV peak Reynolds number, and SFV Womersley number. Although these data are too extensive to report here, the average values were used as a guide for designing an in vitro flow test system and the first generation of prototypic, prosthetic valves.
The next step in the development process was to identify device designs, which minimally satisfied the criteria of 1) opening upon antegrade flow and 2) closing upon retrograde flow. Once conceived, these designs were then modified by varying several key dimensional parameters in order to provide a range of configurations that could result in measurable differences in valve function. [Note: A detailed description of these devices and their functional outcomes will be presented in a subsequent publication.] Furthermore, it was decided that a 2-stage testing process would provide the ability to first observe the devices in a more global operation (i.e. opening and closing, breakage, etc.) before proceeding with more rigorous testing. Thus, two test systems were built, one of which provided first-cut information about the valve's responsiveness to basic flow conditions (forward steady flow and step reverse flow) and the second of which provided more realistic physiologic conditions. Because of the rough, observational nature of the first testing protocol, the devices and test system were scaled up by a factor of 2:1 in order to better observe device operation. Those devices which passed this vertical column Mock-up Steady Flow System testing were then re-fabricated as 1:1 scale devices and more thoroughly evaluated in the horizontal Physiologic Flow System.
a. 2:1 Mock-Up System
where Re = characteristic Reynolds number, ρ = the fluid density, v = the fluid velocity, D = the tubing diameter, and, μ = the fluid viscosity; NL subscripts denote parameters of the normal volunteer study while MU denotes those of the Mock-up flow system.
where QMU = the volumetric flow rate in the Mock-up test system (L/min) and AMU = the cross-sectional area of the test section in the Mock-up system (cm2). This required that for VNL = 14.2 cm/s and DNL = 1.25 cm that QMU = 0.599 L/min (corresponding to a mean Re = 146).
Testing of a given valve consisted of recording differential pressure and flow while adjusting the variable resistor in the recycle stream to obtain the desired flow to the test section. After the flow rate to the test section stabilized at the desired value for a few seconds, the pump was turned off and the flow allowed to recede under the force of gravity. The pump remained off until the level of the water reached an equilibrium point with the height of the fluid in Tower I. This protocol was repeated five times for each valve. Data recordings consisted of analog differential pressure and flow waveforms. Differential pressure was measured with a transducer (Model P305D, Validyne Engineering Corporation, Northridge, CA) whose ports were connected to the test section at a distance of 27 cm above and below the test valve to allow for placement of the device inside a view box. The transducer itself was set at a height of 23 cm above the reference tubing to match the elevation of the device. Flow was measured with a 16 mm inner diameter transonic flow probe connected to the system just proximal to the recycle stream. The signal was processed by a transonic flow meter (Model T108, Transonic Systems, Ithaca, NY). Ultrasonic reflectors for the flow transducer were not needed because of the mineral particles in the tap water. Both differential pressure and flow waveforms were relayed to a PC interface system (WINDAQ™, DATAQ® Instruments Incorporated, Akron, OH) for recording and display. The waveforms for the Mock-up flow system were converted from a voltage signal to either their corresponding average differential pressure or flow values via linear calibration curves based on known data points. Through the acquisition system, data were obtained to the nearest 0.001 V with a temporal resolution of 1 ms at a sampling rate of 1000 Hz. Using the calibration equations, this corresponded to a resolution of 0.0345 mm Hg and 0.00264 L/min for differential pressure and flow rate, respectively.
Measured parameters for the 2:1 Mock-up system included mean flow rate, average differential pressure, valve closing time, reflux, and leakage. Each variable was defined by isolating a specific region in the time domain based on characteristic features of the differential pressure and flow waveforms. Mean flow rate and average differential pressure were time averaged over the period of one second before the constant flow pump was turned off. This provided the dynamic conditions that were acting on the valve as valve closure occurred. The time marker for the pump shut-off was defined as an initial sharp decrease in the flow waveform. The pump shut-off time was also used as the start marker for both the valve closing time and reflux parameters whereas the end marker was defined using the first rebound spike of the differential pressure waveform. Physically, the Valve Closing Time, VCT, was the time it took for the valve leaflets to first approximate one another after cessation of the forward driving pressure source. Correspondingly, Reflux Volume, , was defined as the volume of fluid that passed retrograde through the valve during the closing time period. The time interval over one second following the end marker was defined as the "1st Leakage Interval" where the volume of fluid that leaked distally through the valve was the leakage. The same thing was done over the next second, which was the "2nd Leakage Interval".
The only calculated parameter associated with the 2:1 Mock-up system was valve resistance, R, which was defined as the ratio of the average differential pressure to the mean flow rate. This value quantitatively described how much of a frictional effect the valve had on antegrade flow.
b. 1:1 Physiologic Flow System
1:1 Pulsatile Flow System Testing Protocol.
Steady Flow rate (L/min)
Pulse Frequency (rpm)
Measured parameters obtained in the supine position included cycle period, mean flow rate, and average differential pressure. Valve closed time, reflux volume, and forward volume were the measured parameters for the simulated standing position. Again, each variable was defined by isolating a specific region in the time domain based on characteristic features of the differential pressure and flow waveforms. Extracting direct parameters of interest from the supine position data consisted of isolating a single flow cycle and running the statistics function of the data processing software. Doing so provided cycle period, mean flow rate, average differential pressure, and root mean square flow rate. Obtaining measured parameters from the standing position data was somewhat more complex in that it required dividing the flow waveform into two distinct temporal regions per cycle. The first region was the period in which flow was negative and was referred to as the "Valve Closed Time." The volume change during this period was considered the Reflux Volume, , while the volume change during the remainder of the cycle in which flow was positive was considered the Antegrade Volume, .
where Qrms = the RMS flow rate in cm3/s, Cd = the experimentally determined constant in and, = the average difference between systolic and diastolic pressures in mmHg.
While there is extensive experience in applying EOA to cardiac valve testing, it was felt that using the RMS flow rate and systolic and diastolic pressures was not appropriate for the venous system, particularly since more direct input measures were available. Thus, mean flow rate and differential pressure were used along with an empirical constant that was determined by measuring flow and differential pressure in the open tube (i.e. with 'No Device' in place), which corresponded to a known orifice area. Thus, the constant, Cd, was solved for using Equation 4 for both the supine breathing and ankle flexion simulations.
where F = force (N), d = distance (m), ρ = water density (kg/m3), = Reflux volume (m3), g = the gravitational constant (m/s2), and, A = the cross sectional area of the test section (m2).
where = the Antegrade volume (m3).
Statistical analysis for the Mock-up data consisted of a one-way analysis of variance (ANOVA) at a significance level of 0.05 performed on mean flow rate, which was the controlled variable, and a linear regression was performed between Valve Closure Time and Reflux. For the physiologic data, a series of one-way ANOVA tests were run at a significance level of 0.05 on the variables that were most relevant to valve selection. These parameters included average ΔP, R, EOA, , %Ref, REL, and η. The analysis was performed for both dynamic conditions in which the respective parameter was measured. When a significant difference existed, grouping was provided by the SNK procedure and was performed by a computer program (SAS, SAS Institute Incorporated, Cary, NC). To determine the repeatability of the system, one prototype valve was tested, removed and then re-inserted into the system for repeat testing. Those results were then evaluated to test for any statistical differences.
Results of the normal volunteer study were extremely valuable in defining both typical dimensions and anatomy of veins in the proximal lower extremity, but also in quantifying the velocities, flow rates, and cycle periods under various postural and physiologic conditions. Specifically, over the 11 subjects, the common femoral vein diameter was 1.04 ± 0.14 cm and peak flow rates (derived from peak velocities) were 0.6 L/min, 1.34 L/min, 0.78 L/min and 1.6 L/min for the cases SUBR, SUAF, STBR and STAF, respectively. Based on these data, a diameter of 1.25 cm was chosen for the prosthetic valve design to allow for some distention of the vein upon insertion. Representative values for peak flow rate under breathing and ankle flexion conditions were taken (0.69 L/min and 1.5 L/min, respectively) as the average values measured in the two postural positions (Supine and Standing), since the breathing and ankle flexion movements acted as the primary driving forces in each case. These peak values were then obtained in the 1:1 Pulsatile Flow System by setting the steady flow component to 50% of those values (0.35 L/min and 0.75 L/min, respectively) and allowing the roller pump to superimpose an additional unsteady component. Pumping frequencies were based upon typical breathing (~15 breaths/min = 15 rpm, or 0.25 Hz) and walking (~30 steps/limb/min = 30 rpm, or 0.5 Hz) cycles.
a. 2:1 Mock-Up System
A set of these devices was fabricated and a series of tests were then made on these designs in the 2:1 Mock-up System. Key results for the prototype device were that it had a forward steady flow pressure drop of 1.25 ± 0.153 mmHg and a resistance of 1.92 ± 0.578 mmHg*min/L. Under sudden hydrostatic backpressure conditions, the valve required 1.38 ± 0.0447 s to close and allowed 19.9 ± 4.40 cm3 of reflux followed by 4.36 ± 1.48 cm3 and 1.23 ± 1.02 cm3 of leakage during the 1st and 2nd one second post-closure intervals, respectively.
b. 1:1 Physiologic Flow System
1:1 Pulsatile Flow Results for Prototype vs. 'No Device' in Supine Position.
13.3 ± 0.0272
21.3 ± 0.271
14.6 ± 0.0012
23.5 ± 0.0338
1.12 ± 0.0166
7.97 ± 0.0935
6.00 ± 0.163
8.81 ± 0.157
7.37 ± 0.110
1.09 ± 0.0111
1:1 Pulsatile Flow Results for Prototype vs. 'No Device' in Standing Position.
59.6 ± 0.830
205 ± 5.37
283 ± 7.93
-319 ± 22.1
5.83 ± 0.688
18.1 ± 2.12
2.73 ± 0.654
36.7 ± 0.785
7.35 ± 0.28
24.6 ± 0.859
4.30 ± 0.333
93.9 ± 0.429
2.21 ± 0.978
7.10 ± 3.27
0.451 ± 0.411
99.4 ± 0.562
1:1 Pulsatile Flow Results for Repeat Measurements in Supine Position.
1.33 ± 0.0012
2.23 ± 0.0338
1.12 ± 0.0166
1.41 ± 0.0221*
2.29 ± 0.0379*
1.16 ± 0.015*
1.84 ± 0.151
1.37 ± 0.110
1.09 ± 0.0111
2.33 ± 0.0926*
1.73 ± 0.0889*
1.08 ± 0.0215
1:1 Pulsatile Flow Results for Repeat Measurements in Standing Position.
5.83 ± 0.688
2.73 ± 0.654
36.7 ± 0.785
3.99 ± 0.537*
12.7 ± 2.07*
1.29 ± 0.371*
38.4 ± 0.52*
2.21 ± 0.978
7.10 ± 3.27
0.451 ± 0.411
99.4 ± 0.562
1.55 ± 1.74
4.75 ± 5.27
0.384 ± 0.375
99.6 ± 0.443
a) 2:1 Mock-Up System
From a procedural standpoint, the Mock-up flow system proved to be an essential element in the development of second-generation optimized valve designs. The 2:1 scale and the steady flow component allowed for detailed observations to be made over the course of an extended time period, which would have been much more difficult to make on the 1:1 Physiologic Flow System alone. Similarly, the vertical column arrangement provided the ability to study the valve when it was subjected to the most extreme clinical condition. The Mock-up system was particularly valuable in providing information about frame-leaflet interactions and how the leaflet collapsed under a uniform reversing pressure. These capabilities led to observations that initiated the incorporation of features that were essential to the dynamic performance of the leaflets. Thus, it was concluded that the Mock-up was a necessary intermediate step in the design and development of the optimally designed valves.
Although dynamic similarity was maintained, the data obtained from the Mock-up flow system were not used to select the best performing second-generation optimized design. However, these results were able to indicate that the test device did have low forward resistance and reasonably low reflux. [Note: It was at this point in the design process that consideration was given to: 1) devise outcome parameters which were more specific to vein valve operation, and, 2) include recordings of tests with 'No Device' installed so that direct comparisons could be made of the prototype as a measure of relative effectiveness versus a totally incompetent valve.]
b) 1:1 Physiologic Flow System
The 1:1 Physiologic Flow System was valuable in simulating four realistic postural and physiologic conditions (SUBR, SUAF, STBR, and STAF) for vein valve testing, which provided data to evaluate the second-generation, optimally designed valves. The physiologic system was relevant to the dynamic conditions of the veins in the leg, which were necessary for a full evaluation of the different valves of the second generation, optimized design.
More specifically, by reducing the prosthetic devices to life-size (i.e. 1:1 scale) models, it was possible to obtain more realistic results and to confirm whether the devices would operate as well under physiologic conditions. However, this scale reduction also magnified some of the limitations in function of the device such as increased flow resistance and greater reflux due to decreased ability of the leaflet material to conform to the strut shapes. The smaller size also reduced precision of the fabrication process and, therefore, increased the relative impact of any incurred defects. Furthermore, by testing in a pulsatile flow system, it was possible to evaluate the effects of larger inertial forces and cyclical flexion on the device. This was important because opening and closing of the valve is strongly dependent upon the peak dynamic forces of the fluid and because of possible deformation or failure responses of the device after repeated operation. It was observed that the shorter durations of the opening and closing phases produced by the oscillatory flow conditions resulted in some designs not being able to close quickly enough and that the leaflets tended to achieve a more repeatable mode of operation after several cycles.
Unfortunately, there are virtually no comparable data from other prosthetic vein valves and it is unrealistic to compare these values to those of prosthetic cardiac valves due to large differences in test conditions – i.e. higher operating pressures (~2×), flow rates (~10×) and shorter, more abrupt cycles. As mentioned earlier, however, several outcome parameters were either modified or devised during this procedure in order to better quantify certain important device characteristics. For example, EOA was included because of its widespread use in evaluating cardiac valves. However, the standard definition of EOA is based on input data readily available to clinicians, i.e. systolic and diastolic pressures and root-mean-square flow, rather than more direct measures of pressure difference and flow rate per se. Furthermore, while the reflux volume is important, the question arose as to "how much reflux is too much?" Since it was difficult to estimate the amount of excess volume that the lower limb could tolerate over a given period of time, an alternate approach to this issue was taken by simply looking at the energy 'cost' of re-pumping the reflux flow. This, then, led to the Reflux Energy Loss (REL) parameter, which measured the work needed to lift the reflux volume of fluid against gravity the equivalent height of one point just distal to one point just proximal to the valve. Finally, collection of data with 'No Device' installed proved very useful for making comparisons of a given device (regardless of its overall ranking) against the worst possible case to determine the improvement it provided versus a totally defective valve (i.e. the clinical equivalent of CVI). These measurements also helped to establish the full-scale range of a given parameter.
Ultimately, the pulsatile flow system provided all of the data used for valve selection. In particular, the SUBR and SUAF conditions allowed for the evaluation of valves in terms of R and EOA while the STBR and STAF simulations characterized valves according to , %Ref, REL, and η. Both supine simulations were found to produce fairly realistic conditions but neither induced valve closure. This was consistent with observations made earlier during the normal volunteer study and focused the value of these tests on resistance-based, rather than reflux-based, parameters. The results obtained under the SUBR condition were considered particularly relevant since this case had a longer cycle period (4 s versus 2 s) and, thus, was more 'quasi-steady'. Reflux, on the other hand, was observed with both standing positions. However, the STAF simulation did not allow as much reflux as the STBR condition because of the higher frequency of the roller pump, which acted as an effective valve and, thus, limited reflux. For example, in the 'No Device' case, only 24.6% reflux was observed under the STAF condition as compared to 205% reflux in the STBR condition. Therefore, it was concluded that test valves would not be exposed to reversing flows under the STAF condition, which are large enough to distinguish between valve designs. The finding that %Ref exceeded 100% and η exceeded -300% for STBR underscores the fact that back flow in the veins is not primarily dependent upon the amount of forward flow per se but rather, upon the backpressure acting on the valve. In other words, a successful vein valve should first be able to prevent backflow of blood from the entire proximal vein and then, secondly, it should limit backflow beyond the point where the net forward flow is less than that required to maintain normal flow through the vessel.
Repeatability testing showed that, for a representative device, there were some statistically different values in the measured and computed variables between runs. These differences existed for all parameters under simulated 'breathing' conditions (i.e. SUBR and STBR) but only 2 of 7 parameters (ΔP and R) under simulated 'ankle flexion' conditions (i.e. SUAF and STAF). While these differences will limit the test system's ability to distinguish one valve design from another to some extent, most of the variability is relatively small compared to the 'No Device' case [Tables 2 and 3], and thus, should accurately reflect the improvement expected compared to a completely defective valve.
Finally, it is important to note that neither of these in vitro test systems used collapsible tubing in the test section as some earlier studies had done (15–17). While this feature would clearly have altered the results obtained, and especially the reflux flow data, it was felt that during the initial design testing phase, it was best to use a system which would evaluate the capabilities of the various devices themselves independent of other factors. Based on those results, then, appropriate improvements could be incorporated and/or final selections made between competing designs. Once optimized, the final design could then be re-tested with the addition of collapsible tubing to determine the physiologic response of the prototypic valve + vein combination.
From these results, it was concluded that the initial test device produced only a small increases in ΔP (<0.15 mmHg) and R (<0.25 mmHg*min/L) and a small decrease in EOA (<8%) relative to 'No Device'. Furthermore, it allowed <2% of and <6% of the REL observed with 'No Device'. Thus, the overall test systems and procedures used proved quite valuable in carrying out this phase of the design process. Further studies are now planned to evaluate biocompatibility concerns such as thrombogenicity and intimal hyperplasia of these devices in vivo.
The authors would like to acknowledge Ms. Shelly Burns, Coordinator of the Surgical Non-Invasive Laboratory, for performing the ultrasound examinations of all the normal volunteers. This study was supported by a grant from the NIH STTR Program (1 R41 HL077984-01).
- Yoganathan AP, Chandran KB, Sotiropoulos F: Flow in prosthetic heart valves: State-of-the-art and future directions. Ann Biomed Engr 2005, 33: 1689–94. 10.1007/s10439-005-8759-zView ArticleGoogle Scholar
- Taheri SA, Schultz RO: Experimental prosthetic vein valve: Long term results. Angiology 1995, 46: 299–303.View ArticleGoogle Scholar
- Delaria GA, Phifer T, Joy J, Tu R, Thyagarajan K, Quijano RC: Hemodynamic evaluation of a bioprosthetic venous prosthesis. J Vasc Surg 1993, 18: 577–86. 10.1067/mva.1993.49081View ArticleGoogle Scholar
- Pavcnik D: Chronic venous insufficiency and bioprosthetic bicuspid square stent based venous valve for transcatheter placement. Acta Clin Croatia 2002, 41: 93–7.Google Scholar
- Pavcnik D, Uchida BT, Timmermans HA, Corless CL, O'Hara M, Toyota N, Moneta GL, Keller FS, Rosch J: Percutaneous bioprosthetic venous valve: A long-term study in sheep. J Vasc Surg 2002, 35: 598–602. 10.1067/mva.2002.118825View ArticleGoogle Scholar
- Pavcnik D, Kaufman J, Uchida B, Correa L, Hiraki T, Kyu SC, Keller FS, Rosch J: Second-generation percutaneous bioprosthetic valve: A short-term study in sheep. J Vasc Surg 2004, 40: 1223–7. 10.1016/j.jvs.2004.08.027View ArticleGoogle Scholar
- Hasaniya NW: In vitro construction of totally autogenous venous valve: Early experience. Phlebology 2002, 16: 142–4. 10.1007/s005230200012View ArticleGoogle Scholar
- Venpro announces the first worldwide human implant of percutaneous venous valve bioprosthesis for the treatment of chronic venous insufficiency. Irvine, CA. October 14, 2001 [http://www.venpro.com/pages/archive.html]
- Kerstein MD, Gahtan V: Outcomes of venous ulcer care: Results of a longitudinal study. Ost/Wound Manag 2000, 46: 22–9.Google Scholar
- Qui Y, Quijano RC, Wang SK, Hwang NHC: Fluid dynamics of venous valve closure. Ann Biomed Engr 1995, 23: 750–9. 10.1007/BF02584474View ArticleGoogle Scholar
- Kamm RD, Shapiro AH: Unsteady flow in collapsible tubes subjected to external pressure of body forces. J Fluid Mech 1979, 95: 1–78. 10.1017/S0022112079001348View ArticleMATHGoogle Scholar
- Matsuzaki Y, Matusmoto T: Flow in a two-dimensional collapsible channel with rigid inlet and outlet. J Biomech Eng 1989, 111: 180–4.View ArticleGoogle Scholar
- Olson DA, Kamm RD, Shapiro AH: Bioengineering studies of periodic external compression as prophylaxis against deep vein thrombosis. Part II: Experimental studies on a simulated leg. J Biomech Eng 1982, 104: 96–104.View ArticleGoogle Scholar
- Lee D, Abolfathi AH, DeLaria GA, Phifer TJ, Nashef AS, Quijano RC: In vitro testing of venous valves. ASAIO Trans 1991, 37: M266–8.Google Scholar
- Raju S, Green AB, Fredericks RK, Neglen PN, Hudson CA, Keonig K: Tube collapse and valve closure in ambulatory venous pressure regulation: Studies with a mechanical model. J Endovasc Surg 1998, 5: 42–51. 10.1583/1074-6218(1998)005<0042:TCAVCI>2.0.CO;2View ArticleGoogle Scholar
- Raju S, Hudson CA, Fredericks R, Neglen P, Greene AB, Meydrech EF: Studies in calf venous pump function utilizing a two-valve experimental model. Eur J Vasc Endovasc Surg 1999, 17: 521–32. 10.1053/ejvs.1999.0818View ArticleGoogle Scholar
- Buescher CD, Nachiappan B, Brumbaugh JM, Hoo KA, Janssen HF: Experimental studies of the effects of abnormal venous valves on fluid flow. Biotechnol Prog 2005, 21: 938–45. 10.1021/bp049835uView ArticleGoogle Scholar
- Rittgers SE, Evancho-Chapman MM, Oberdier MT, Lopina ST, Schmidt SP: "Prosthetic Venous Valves" (Patent Pending, submitted November 2005). USPTO Application Number 11/282,515
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