Stress relaxation of heterogeneous myocardial tissue. Numerical experiments with 3D model

Smoluk, A. T.; Smoluk, Leonid; Protsenko, Yuri

doi:10.1134/s0006350912060176

Cited by 2 publications

(2 citation statements)

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“…The simple block model of heterogeneous system consisting of two series connected models of myocardial morphological unit is in detail described in our previous work [15]. Behavior of this heterogeneous system is described by the following system of nonlinear differential Equations (1): …”

Section: Methodsmentioning

confidence: 99%

“…It has been shown that the model could be applied at different organization levels of myocardial tissue [14]. Also we have obtained new data about influence of heterogeneity of local geometrical and mechanical properties of model structural units to the mechanical response of the simple heterogeneous system consisting of two structural three-dimensional units to the stretching [15]. In present work the model approach has been developed to describe more complex systems consisting of an arbitrary number of units.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Heterogeneity of Viscoelastic Properties of Myocardial Muscle Fiber: Mathematical Model

Smoluk¹,

Smoluk²,

Protsenko³

2014

JBiSE

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Mathematical model describing the processes of mechanical stress development in response to strain of heterogeneous muscle fiber is created. The numerical algorithm to calculate viscoelastic properties of muscle fiber of arbitrary length is developed. In numerical experiments by the model it is shown that the local heterogeneity of geometrical and mechanical parameters of structural units of the model significantly influences in resulting mechanical response of whole fiber. Also it is established the close connection between parameters of mechanical and geometrical heterogeneity compensating each other. It is supposed that the mechanism may modulate the myocardial remodeling under changing load.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%