Journal ArticleDOI
A unified mixture formulation for density and volumetric growth of multi-constituent solids in tissue engineering
Timothy J. Truster,Arif Masud +1 more
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TLDR
A unified computational method is developed for the modeling of growth in hard and soft biological tissues using a mixture theory approach, whereby a polymeric scaffold is infused by cells and cross-linking proteins to modeling concurrent and coexisting constituents.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2017-02-01. It has received 13 citations till now. The article focuses on the topics: Mixture theory.read more
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Critical roles of time-scales in soft tissue growth and remodeling.
TL;DR: This paper examines relative roles of the rates of tissue responses and external loading and presents a new rate-independent approach for modeling the evolution of soft tissue growth and remodeling and shows that it captures well the predictions of a fully general constrained mixture theory at a fraction of the computational cost.
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Anisotropic stiffness and tensional homeostasis induce a natural anisotropy of volumetric growth and remodeling in soft biological tissues
TL;DR: It is demonstrated that anisotropic tissue stiffness and the well-known mechanism of tensional homeostasis induce a natural anisotropy of the geometric changes resulting from volumetric growth in soft biological tissues.
Journal ArticleDOI
Mechanobiological Stability of Biological Soft Tissues.
Marcos Latorre,Jay D. Humphrey +1 more
TL;DR: A new rate-based constrained mixture formulation suitable for studying mechanobiological equilibrium and stability of soft tissues exposed to transient or sustained changes in material composition or applied loading is presented.
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A theoretical model of inflammation- and mechanotransduction-driven asthmatic airway remodelling.
Michael R. Hill,Christopher J Philp,Charlotte K. Billington,Amanda L. Tatler,Simon R. Johnson,Reuben D. O'Dea,Bindi S. Brook +6 more
TL;DR: A mechanochemical morphoelastic model of the airway wall accounting for local volume changes in airway smooth muscle (ASM) and extracellular matrix in response to transient inflammatory or contractile agonist challenges is developed.
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A robust adaptive algebraic multigrid linear solver for structural mechanics
Andrea Franceschini,Victor Antonio Paludetto Magri,Gianluca Mazzucco,Nicolò Spiezia,Carlo Janna +4 more
TL;DR: A novel AMG method specifically tailored for ill-conditioned structural problems is presented, characterized by an adaptive factored sparse approximate inverse method as smoother, an improved least-squared based prolongation (DPLS) and a method for uncovering the near-null space that takes advantage of an already existing approximation.
References
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Book
Mathematical foundations of elasticity
TL;DR: In this article, the mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis are discussed. But the authors do not discuss the application of functional analysis to the problem of elasticity.
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Stress-dependent finite growth in soft elastic tissues
TL;DR: A general continuum formulation for finite volumetric growth in soft elastic tissues is proposed and it is shown that transmurally uniform pure circumferential growth, which may be similar to eccentric ventricular hypertrophy, changes the state of residual stress in the heart wall.
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Incompressible porous media models by use of the theory of mixtures
TL;DR: In this paper, the use of the thermodynamics of mixtures to formulate incompressible porous media models is discussed. But the model is restricted to the case where the mixture is a mixture where the solid and the fluid constituents are each incompressibly.
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Continuum theories of mixtures: basic theory and historical development
R. J. Atkin,R. E. Craine +1 more
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A constrained mixture model for growth and remodeling of soft tissues
TL;DR: It was thought that the most important characteristics of soft tissues were their complex mechanical properties: they often exhibit nonlinear, anisotropic, nearly incoherent, and often incoherent properties as discussed by the authors.