title: [Mathematical Modelling of the Dependence of the Performance of the Left Ventricle of the Heart on Preload and Afterload].
abstract: The results of the numerical simulation of the end-diastolic, end-systolic and stroke volumes of the left ventricle of the heart are presented. The simulation was based on a published simple kinetic model of cardiac muscle and approximation of the ventricle geometry with thick-wall cylinder where the fibre orientation varied linearly from sub-epicardium towards sub-endocardium. Blood flow was modelled with a liner compartment model. This simplified approach provides correct dependencies of the stroke volume on the pre- and afterload, namely end-diastolic pressure and peripheral resistance. The calculations show that the stroke volume is independent of arterial compliance and blood inertia.
authors: F A
authors: FA
authors: Syomin
authors: M V
authors: MV
authors: Zberia
authors: N A
authors: NA
authors: Koubassova
authors: A K
authors: AK
authors: Tsaturyan
mesh_terms: D001794:Blood Pressure / Q000502:physiology; D006352:Heart Ventricles / Q000503:physiopathology*; D006439:Hemodynamics; D006801:Humans; D008962:Models, Theoretical; D009200:Myocardial Contraction / Q000502:physiology; D010496:Pericardium / Q000502:physiology*; D013318:Stroke Volume / Q000502:physiology