Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (10): 1183-1191.

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NONLINEAR DYNAMICS MODELING OF MECHANICAL PERIODICITY OF END DIASTOLIC VOLUME OF LEFT VENTRICLE

XU Shi-xiong, MAO Xiao-chun   

  1. Mechanics and Engineering Science Department, Fudan University, Shanghai 200433, P. R. China
  • Received:2000-10-16 Revised:2001-05-08 Online:2001-10-18 Published:2001-10-18

Abstract: The cardiovascular system with a lumped parameter model is treated, in which the Starling model is used to simulate left ventricle and the four-element Burattini & Gnudi model is used in the description of arterial system. Moreover, the feedback action of arterial pressure on cardiac cycle is taken into account. The phenomenon of mechanical periodicity (MP) of end diastolic volume (EDV) of left ventricle is successfully simulated by solving a series of one-dimensional discrete nonlinear dynamical equations. The effects of cardiovascular parameters on MP is also discussed.

2010 MSC Number: 

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