PRINCIPLES OF DEVELOPMENT MATHEMATICAL MODEL FOR RESEARCHING OF NONPULSATILE FLOW PUMP AND CARDIAC SYSTEM
https://doi.org/10.15825/1995-1191-2013-3-59-65
Abstract
Aim. The presented research uncovers the using of mathematical modeling methods for cardio-vascular system and axial blood pump interaction analysis under heart failure with combined valve pathology. The research will pro- vide data for automated pump control algorithm synthesis. Materials and methods. Mathematical model is build up by using experiments results from mock cardio-vascular circulation loop and mathematical representation of Newtonian fluid dynamics in pulsing circulation loop. The model implemented in modeling environment Simulink (Matlab). Results. Authors implemented mathematical model which describe cardio-vascular system and left-ven- tricular assistive device interaction for intact conditions. Values of parameters for intact conditions were acquired in the experiments on animals with implanted axial pump, experiments were conducted in FRCTAO. The model was verified by comparison of instantaneous blood flowrate values in experiments and in model. Conclusion. The paper present implemented mathematical model of cardio-vascular system and axial pump interaction for intact conditions, where the pump connected between left ventricle and aorta. In the next part of research authors will use the presented model to evaluate using the biotechnical system in conditions of heart failure and valve pathology.
About the Authors
I. V. Bykov
Laboratory of biotechnical systems (Head – prof. G.P. Itkin), Academician V.I. Schumakov federal research center of transplantology and artificial organs (Head – academician of RAMSci,
prof. S.V. Gautier), Moscow, Russian Federation
Russian Federation
Russian Federation
G. P. Itkin
Laboratory of biotechnical systems (Head – prof. G.P. Itkin), Academician V.I. Schumakov federal research center of transplantology and artificial organs (Head – academician of RAMSci,
prof. S.V. Gautier), Moscow, Russian Federation
Russian Federation
Russian Federation
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Review
For citations:
Bykov I.V., Itkin G.P. PRINCIPLES OF DEVELOPMENT MATHEMATICAL MODEL FOR RESEARCHING OF NONPULSATILE FLOW PUMP AND CARDIAC SYSTEM. Russian Journal of Transplantology and Artificial Organs. 2013;15(3):59-65. (In Russ.) https://doi.org/10.15825/1995-1191-2013-3-59-65
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