Computational modeling of growth: systemic and pulmonary hypertension in the heart

Download
2011-12-01
Rausch, M. K.
Dam, A.
Göktepe, Serdar
Abilez, O. J.
Kuhl, E.
We introduce a novel constitutive model for growing soft biological tissue and study its performance in two characteristic cases of mechanically induced wall thickening of the heart. We adopt the concept of an incompatible growth configuration introducing the multiplicative decomposition of the deformation gradient into an elastic and a growth part. The key feature of the model is the definition of the evolution equation for the growth tensor which we motivate by pressure-overload-induced sarcomerogenesis. In response to the deposition of sarcomere units on the molecular level, the individual heart muscle cells increase in diameter, and the wall of the heart becomes progressively thicker. We present the underlying constitutive equations and their algorithmic implementation within an implicit nonlinear finite element framework. To demonstrate the features of the proposed approach, we study two classical growth phenomena in the heart: left and right ventricular wall thickening in response to systemic and pulmonary hypertension.
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY

Suggestions

Hygrothermal fracture analysis of fibrous composites with variable fiber spacing using JK-integral
Saeidi, Farid; Dağ, Serkan; Department of Mechanical Engineering (2013)
In this study, a Jk-integral based computational method will be developed to conduct fracture analysis of fibrous composite laminates that possess variable fiber spacing. This study will be carried out for the fibrous composites exposed to not only thermal but also hygroscopic boundary condition, which results hygrothermal load. Formulation of the Jk-integral will be carried out by using the constitutive relations of plane orthotropic hygrothermoelasticity. One of the most important challenges of this study...
Computational modeling of electrochemical coupling: A novel finite element approach towards ionic models for cardiac electrophysiology
Wong, Jonathan; Göktepe, Serdar; Kuhl, Ellen (2011-01-01)
We propose a novel, efficient finite element solution technique to simulate the electrochemical response of excitable cardiac tissue. We apply a global-local split in which the membrane potential of the electrical problem is introduced globally as a nodal degree of freedom, while the state variables of the chemical problem are treated locally as internal variables on the integration point level. This particular discretization is efficient and highly modular since different cardiac cell models can be incorpo...
Computational modeling of coupled cardiac electromechanics incorporating cardiac dysfunctions
Berberoglu, Ezgi; Solmaz, H. Onur; Göktepe, Serdar (Elsevier BV, 2014-11-01)
Computational models have huge potential to improve our understanding of the coupled biological, electrical, and mechanical underpinning mechanisms of cardiac function and diseases. This contribution is concerned with the computational modeling of different cardiac dysfunctions related to the excitation-contraction coupling in the heart. To this end, the coupled problem of cardiac electromechanics is formulated through the conservation of linear momentum equation and the excitation equation formulated in th...
Computational modeling of chemo-electro-mechanical coupling: A novel implicit monolithic finite element approach
Wong, J.; Göktepe, Serdar; Kuhl, E. (Wiley, 2013-10-01)
Computational modeling of the human heart allows us to predict how chemical, electrical, and mechanical fields interact throughout a cardiac cycle. Pharmacological treatment of cardiac disease has advanced significantly over the past decades, yet it remains unclear how the local biochemistry of an individual heart cell translates into global cardiac function. Here, we propose a novel, unified strategy to simulate excitable biological systems across three biological scales. To discretize the governing chemic...
Nanopatterning of Collagen Scaffolds Improve the Mechanical Properties of Tissue Engineered Vascular Grafts
Zorlutuna, P.; Elsheikh, A.; Hasırcı, Vasıf Nejat (2009-04-01)
Tissue engineered constructs with cells growing in an organized manner have been shown to have improved mechanical properties. This can be especially important when constructing tissues that need to perform under load, such as cardiac and vascular tissue. Enhancement of mechanical properties of tissue engineered vascular grafts via orientation of smooth muscle cells by the help of topographical cues have not been reported yet. In the present study, collagen scaffolds with 650, 500, and 332.5 nm wide nanocha...
Citation Formats
M. K. Rausch, A. Dam, S. Göktepe, O. J. Abilez, and E. Kuhl, “Computational modeling of growth: systemic and pulmonary hypertension in the heart,” BIOMECHANICS AND MODELING IN MECHANOBIOLOGY, pp. 799–811, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42875.