Modules in Cardiac Modeling: Mechanics, Circulation, and Depolarization Wave

Arts, Theo; Bovendeerd, P.H.M.; Toorn, A. Van der; Geerts, Liesbeth; Kerckhoffs, Roy; Prinzen, Frits

doi:10.1007/3-540-45572-8_1

Cited by 2 publications

(1 citation statement)

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“…model (Hill 1950), Huxley's sliding-filament model (Huxley 1957), Hunter's fading memory model (Hunter et al) and Bestel -Clement -Sorine (BCS) model (Arts et al 2001;Bestel et al 2001;Costa et al 2001;Hunter et al 2003) and mechatronic sarcomere contractile model (Ghista et al 2005). However, until now, there is still somewhat lack of reliable constitutive laws to describe the active properties of the myocardium during the systolic phase.…”

Section: Wall Stressmentioning

confidence: 99%

Left ventricular wall stress compendium

Zhong

Ghista

Tan

2012

Computer Methods in Biomechanics and Biomedical Engineering

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Left ventricular (LV) wall stress has intrigued scientists and cardiologists since the time of Lame and Laplace in 1800s. The left ventricle is an intriguing organ structure, whose intrinsic design enables it to fill and contract. The development of wall stress is intriguing to cardiologists and biomedical engineers. The role of left ventricle wall stress in cardiac perfusion and pumping as well as in cardiac pathophysiology is a relatively unexplored phenomenon. But even for us to assess this role, we first need accurate determination of in vivo wall stress. However, at this point, 150 years after Lame estimated left ventricle wall stress using the elasticity theory, we are still in the exploratory stage of (i) developing left ventricle models that properly represent left ventricle anatomy and physiology and (ii) obtaining data on left ventricle dynamics. In this paper, we are responding to the need for a comprehensive survey of left ventricle wall stress models, their mechanics, stress computation and results. We have provided herein a compendium of major type of wall stress models: thin-wall models based on the Laplace law, thick-wall shell models, elasticity theory model, thick-wall large deformation models and finite element models. We have compared the mean stress values of these models as well as the variation of stress across the wall. All of the thin-wall and thick-wall shell models are based on idealised ellipsoidal and spherical geometries. However, the elasticity model's shape can vary through the cycle, to simulate the more ellipsoidal shape of the left ventricle in the systolic phase. The finite element models have more representative geometries, but are generally based on animal data, which limits their medical relevance. This paper can enable readers to obtain a comprehensive perspective of left ventricle wall stress models, of how to employ them to determine wall stresses, and be cognizant of the assumptions involved in the use of specific models.

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