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Computational modeling of growth: systemic and pulmonary hypertension in the heart
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Date
2011-12-01
Author
Rausch, M. K.
Dam, A.
Göktepe, Serdar
Abilez, O. J.
Kuhl, E.
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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.
Subject Keywords
Biomechanics
,
Growth
,
Remodeling
,
Finite elements
,
Hypertension
,
Hypertrophy
URI
https://hdl.handle.net/11511/42875
Journal
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
DOI
https://doi.org/10.1007/s10237-010-0275-x
Collections
Department of Civil Engineering, Article
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BibTeX
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
, vol. 10, no. 6, pp. 799–811, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42875.