MATHEMATICAL MODELS FOR CELL-MATRIX INTERACTIONS DURING DERMAL WOUND HEALING

DOI10.1142/S0218127402005674zbMath1041.92011OpenAlexW2003777046MaRDI QIDQ4736280

Luke Olsen, Philip K. Maini, Jonathan A. Sherratt

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127402005674

zbMATH Keywords

angiogenesisfibroproliferative disordersmechanochemical modelWound contraction

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37)

Related Items (5)

A cellular Potts model of single cell migration in presence of durotaxis ⋮ A poroelastic mixture model of mechanobiological processes in biomass growth: theory and application to tissue engineering ⋮ Mechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations ⋮ Numerical analysis for the two-dimensional Fisher-Kolmogorov-Petrovski-Piskunov equation with mixed boundary condition ⋮ Assessing the ability of the 2D Fisher-KPP equation to model cell-sheet wound closure

Cites Work

• Continuous and discrete mathematical models of tumor-induced angiogenesis
• Role of fibroblast migration in collagen fiber formation during fetal and adult dermal wound healing
• Spatially varying equilibria of mechanical models: Application to dermal wound contraction
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• A mathematical model for fibro-proliferative wound healing disorders
• Simple Modelling of Extracellular Matrix Alignment in Dermal Wound Healing I. Cell Flux Induced Alignment
• Mathematical Modelling of Tumour Invasion and Metastasis

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