Effects of preload, after-load and myocardial contractility on pressure-volume loop of the cardiovascular system model

Author(s):  
Yonghua Lao ◽  
Hongke Ji ◽  
Yuming Huang ◽  
Junwei Liang ◽  
Yueshan Huang ◽  
...  
2016 ◽  
Vol 38 (5) ◽  
pp. 433-441 ◽  
Author(s):  
Antoine Pironet ◽  
Pierre C. Dauby ◽  
J. Geoffrey Chase ◽  
Paul D. Docherty ◽  
James A. Revie ◽  
...  

2019 ◽  
Vol 25 (8) ◽  
pp. S33
Author(s):  
Edith Jones ◽  
David M. Cameron ◽  
Daniel A. Beard ◽  
Scott L. Hummel ◽  
Brian E. Carlson

2006 ◽  
Vol 27 (2) ◽  
pp. 165-179 ◽  
Author(s):  
Bram W Smith ◽  
J Geoffrey Chase ◽  
Geoff M Shaw ◽  
Roger I Nokes

2005 ◽  
Vol 13 (9) ◽  
pp. 1183-1193 ◽  
Author(s):  
Bram W. Smith ◽  
J. Geoffrey Chase ◽  
Geoffrey M. Shaw ◽  
Roger I. Nokes

2019 ◽  
Vol 171 ◽  
pp. 53-65 ◽  
Author(s):  
Antoine Pironet ◽  
Paul D. Docherty ◽  
Pierre C. Dauby ◽  
J. Geoffrey Chase ◽  
Thomas Desaive

2006 ◽  
Vol 14 (03) ◽  
pp. 445-461 ◽  
Author(s):  
JOSE ALVAREZ-RAMIREZ ◽  
EDUARDO RODRIGUEZ ◽  
JUAN CARLOS ECHEVERRIA ◽  
JORGE X. VELASCO-HERNANDEZ

The aim of this paper is to show that, for some parameters, a two-dimensional cardiovascular system model can exhibit intrinsic equilibrium multiplicity generated by a backward bifurcation, regardless of the baroreflex effect. The model considers the dynamics of arterial and venous compartments and a feedback effect in the stroke volume induced by venous pressure changes. The results of the mathematical analysis indicate that multiple non-trivial equilibrium points exist when the stroke volume function is convex around the origin. Interestingly, this equilibrium point structure would imply that under certain stroke volume functions, the baroreflex system would have to stabilize and regulate an unstable operating condition produced by certain values of the stroke volume. The paper ends with the discussion of some implications for the reliability and robustness of the baroreflex-feedback mechanism.


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