A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics
From MaRDI portal
Publication:1779780
DOI10.1016/j.jmps.2004.01.004zbMath1159.74381arXivq-bio/0312001OpenAlexW2083559598MaRDI QIDQ1779780
H. Narayanan, Karl Grosh, Krishna Garikipati, Sarah Calve, Ellen M. Arruda
Publication date: 1 June 2005
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-bio/0312001
Tumor growthMass transportChemo-mechanical processesStress-enhanced diffusionTendon and muscle mechanics
Related Items
A numerical study of blood flow using mixture theory, A multi-scale, discrete-cell simulation of organogenesis: application to the effects of strain stimulus on collective cell behavior during ameloblast migration, Mathematical modeling of the fibrosis process in the implantation of inferior vena cava filters, The spherical design algorithm in the numerical simulation of biological tissues with statistical fibre-reinforcement, On the modelling of biological patterns with mechanochemical models: insights from analysis and computation, Morpho-elastodynamics: the long-time dynamics of elastic growth, Microstructurally-based constitutive modelling of the skin -- linking intrinsic ageing to microstructural parameters, Can complex systems really be simulated?, Perspectives on biological growth and remodeling, Growing skin: a computational model for skin expansion in reconstructive surgery, A generic approach towards finite growth with examples of athlete's heart, cardiac dilation, and cardiac wall thickening, Nonlinear mechanics of thermoelastic accretion, An a posteriori approach to the mechanics of volumetric growth, A geometric theory of growth mechanics, Volumetric growth, microstructure, and kinetic energy, Anelastic reorganisation of fibre-reinforced biological tissues, Numerical analysis of a contact problem including bone remodeling, Thermomechanics of material growth and remodeling in uniform bodies based on the micromorphic theory, Self-diffusion in remodeling and growth, Mechanics of soft active materials with phase evolution, Mechanical modeling of growth considering domain variation. II: Volumetric and surface growth involving Eshelby tensors, A mixture theory-based finite element formulation for the study of biodegradation of poroelastic scaffolds, A theoretical model for tissue growth in confined geometries, Mass transport in morphogenetic processes: a second gradient theory for volumetric growth and material remodeling, Modelling cell wall growth using a fibre-reinforced hyperelastic-viscoplastic constitutive law, An avascular tumor growth model based on porous media mechanics and evolving natural states, Material growth in thermoelastic continua: theory, algorithmics, and simulation, A displacement-based approach to geometric instabilities of a film on a substrate, Stress-Modulated Growth, Theories of Growth, Porosity and Diffusion in Biological Tissues. Recent Advances and Further Perspectives, Configurational balance and entropy sinks, Remodeling of biological tissue: mechanically induced reorientation of a transversely isotropic chain network, Growth and instability in elastic tissues, A stochastic-structurally based three dimensional finite-strain damage model for fibrous soft tissue, Biological remodelling: stationary energy, configurational change, internal variables and dissipation, Mathematical modelling of residual-stress based volumetric growth in soft matter, Computational aspects of growth-induced instabilities through eigenvalue analysis, Modelling Living Tissues: Mechanical and Mechanobiological Aspects, Computational modelling of diarthrodial joints. Physiological, pathological and pos-surgery simulations, A microsphere-based remodelling formulation for anisotropic biological tissues, A nonlinear poroelastic theory of solid tumors with glycosaminoglycan swelling, An anisotropic constitutive equation for the stress tensor of blood based on mixture theory, A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth, A multiscale analysis of growth and diffusion dynamics in biological materials, Material forces in open system mechanics, The insight of mixtures theory for growth and remodeling, Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory, Electrically polarized mixtures of porous bodies, A direct proof of uniqueness of square-root of a positive semi-definite tensor, Residual stresses in soft tissue as a consequence of growth and remodeling: Application to an arterial geometry, Growth and dissipation in biological tissues, On numerical modelling of growth, differentiation and damage in structural living tissues, A coupled mass transport and deformation theory of multi-constituent tumor growth, Modeling the growth and branching of plants: a simple rod-based model, Nonlinear mechanics of accretion, Micromorphic balance equations in mass transport and mass production, Computational modelling of diarthrodial joints. Physiological, pathological and Pos-surgery simulations, A framework for deformation, generalized diffusion, mass transfer and growth in multi-species multi-phase biological tissues, Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies
Uses Software
Cites Work
- On the mechanics of a growing tumor
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- Theories of immiscible and structured mixtures
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
- Bone remodelling. I: Theory of adaptive elasticity
- Thermomechanics of volumetric growth in uniform bodies
- On the mechanics of solids with a growing mass.
- Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions
- Compatibility and the genesis of residual stress by volumetric growth
- A Microstructurally Based Orthotropic Hyperelastic Constitutive Law
- Elastic-Plastic Deformation at Finite Strains
- A lattice-based micromechanical continuum formulation for stress-driven mass transport in polycrystalline solids
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item