The role of stress in the growth of a multicell spheroid
From MaRDI portal
Publication:1889369
DOI10.1007/s00285-003-0238-2zbMath1058.92005OpenAlexW1996381480WikidataQ51997933 ScholiaQ51997933MaRDI QIDQ1889369
Davide Ambrosi, Francesco Mollica
Publication date: 1 December 2004
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-003-0238-2
Medical applications (general) (92C50) Biomechanics (92C10) Cell biology (92C37) Theory of constitutive functions in solid mechanics (74A20) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items
Micromechanical analysis of volumetric growth in the context of open systems thermodynamics and configurational mechanics. Application to tumor growth, Spontaneous Cavitation in Growing Elastic Membranes, The influence of anisotropic growth and geometry on the stress of solid tumors, Morpho-elastodynamics: the long-time dynamics of elastic growth, Solid tumors are poroelastic solids with a chemo-mechanical feedback on growth, Modelling cardiac tissue growth and remodelling, Are tumor cell lineages solely shaped by mechanical forces?, A geometric theory of growth mechanics, An imaging-informed mechanical framework to provide a quantitative description of brain tumour growth and the subsequent deformation of white matter tracts, The effect of pressure on the growth of tumour cell colonies, Elastic Growth Models, What mathematical models can or cannot do in glioma description and understanding, Minimal morphoelastic models of solid tumour spheroids: a tutorial, Nonlinear simulation of the effect of microenvironment on tumor growth, An avascular tumor growth model based on porous media mechanics and evolving natural states, A HYBRID MODEL FOR TUMOR SPHEROID GROWTH IN VITRO I: THEORETICAL DEVELOPMENT AND EARLY RESULTS, Stress-Modulated Growth, Nonconvex model of material growth: mathematical theory, Modeling in cardiovascular biomechanics, Growth and instability in elastic tissues, Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis, GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING, A mathematical model of tumor-immune interactions, A coupled mass transport and deformation theory of multi-constituent tumor growth, A MULTIPHASE MODEL OF TUMOR AND TISSUE GROWTH INCLUDING CELL ADHESION AND PLASTIC REORGANIZATION, Computational Continuum Biomechanics with Application to Swelling Media and Growth Phenomena, Derivation and Application of Effective Interface Conditions for Continuum Mechanical Models of Cell Invasion through Thin Membranes, Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications, Individual-based and continuum models of growing cell populations: a comparison, Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour