A multiscale analysis of growth and diffusion dynamics in biological materials
From MaRDI portal
Publication:541079
DOI10.1016/j.ijengsci.2008.08.010zbMath1213.74226OpenAlexW1977909648MaRDI QIDQ541079
Milan V. Mićunović, Gaetano Giaquinta, Gabriel Wittum, Alfio Grillo
Publication date: 4 June 2011
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijengsci.2008.08.010
Thermodynamics in solid mechanics (74A15) Biomechanical solid mechanics (74L15) Physiological, cellular and medical topics (92C99)
Related Items (5)
Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices ⋮ A poroplastic model of structural reorganisation in porous media of biomechanical interest ⋮ A displacement-based approach to geometric instabilities of a film on a substrate ⋮ A mathematical method for parameter estimation in a tumor growth model ⋮ Micromorphic balance equations in mass transport and mass production
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the mechanics of a growing tumor
- Extended thermodynamics of classical and degenerate ideal gases
- Elastic media with microstructure II. Three-dimensional models. Transl. from the Russian
- Growth and dissipation in biological tissues
- On thermoelastic stresses in composite media
- Galilean invariance and entropy principle for systems of balance laws
- Thermomechanics of volumetric growth in uniform bodies
- A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics
- On the mechanics of solids with a growing mass.
- Mechanics of the inelastic behavior of materials. I: Theoretical underpinnings
- The thermochemistry of a reacting mixture of elastic materials with diffusion
- Diffusion in mixtures of elastic materials
- Method of Lagrange multipliers for exploitation of the entropy principle
- A framework for deformation, generalized diffusion, mass transfer and growth in multi-species multi-phase biological tissues
- A multiscale description of growth and transport in biological tissues
- Mathematical Modeling of a Solid-Liquid Mixture with Mass Exchange Between Constituents
- Stress-Modulated Growth
- On bulk growth mechanics of solid-fluid mixtures
- On the hyperbolic system of a mixture of Eulerian fluids: a comparison between single‐ and multi‐temperature models
- Elastic properties of hybrid composites by the effective field approach.
- Justification of an effective field method in elasto-statics of heterogeneous solids
This page was built for publication: A multiscale analysis of growth and diffusion dynamics in biological materials