Modeling Growth in Biological Materials
From MaRDI portal
Publication:2879875
DOI10.1137/080731785zbMath1247.74042OpenAlexW2027767343WikidataQ107392197 ScholiaQ107392197MaRDI QIDQ2879875
Gareth Wyn Jones, S. Jonathan Chapman
Publication date: 5 April 2012
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/1033b5eb116f3ca9564ad20a251b02e4aa2b11dd
cellular automataagent-based modelingvertex dynamicscenter-dynamicsdeformation gradient decomposition method
Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Biomechanics (92C10) Biomechanical solid mechanics (74L15)
Related Items (31)
On the preservation of fibre direction during axisymmetric hyperelastic mass-growth of a finite fibre-reinforced tube ⋮ On a fluid–structure interaction problem for plaque growth ⋮ Biological growth in bodies with incoherent interfaces ⋮ Stability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissue ⋮ An Eulerian Nonlinear Elastic Model for Compressible and Fluidic Tissue with Radially Symmetric Growth ⋮ Smoothed particle hydrodynamics for root growth mechanics ⋮ Short-time existence of a quasi-stationary fluid-structure interaction problem for plaque growth ⋮ Existence results for a morphoelastic model ⋮ Stress-free configurations induced by a family of locally incompatible growth functions ⋮ Mathematical modeling of collagen turnover in biological tissue ⋮ A semi-stochastic cell-based model for in vitro infected `wound' healing through motility reduction: a simulation study ⋮ Nonconvex model of material growth: mathematical theory ⋮ Stochastic cellular automata model of tumorous neurosphere growth: roles of developmental maturity and cell death ⋮ The Klein-Gordon equation in mixture models of tumour growth ⋮ Volumetric material growth: mathematical theory ⋮ A continuum model for the growth of dendritic actin networks ⋮ Mathematical modeling of volumetric material growth in thermoelasticity ⋮ Experimental estimation of stored stress within spherical microtissues, what can and cannot be inferred from cutting experiments ⋮ Gain and loss of function mutations in biological chemical reaction networks: a mathematical model with application to colorectal cancer cells ⋮ Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates ⋮ A local and global well-posedness results for the general stress-assisted diffusion systems ⋮ Models, measurement and inference in epithelial tissue dynamics ⋮ An energy-deformation decomposition for morphoelasticity ⋮ Analytical study on growth-induced axisymmetric deformations and shape-control of circular hyperelastic plates ⋮ Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function ⋮ Are homeostatic states stable? Dynamical stability in morphoelasticity ⋮ Mechanochemical models for calcium waves in embryonic epithelia ⋮ On a fluid-structure interaction problem for plaque growth: cylindrical domain ⋮ Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media ⋮ Mathematical modeling and simulation of the evolution of plaques in blood vessels ⋮ Steady accretion of an elastic body on a hard spherical surface and the notion of a four-dimensional reference space
This page was built for publication: Modeling Growth in Biological Materials