Modelling skin wound healing angiogenesis: a review
From MaRDI portal
Publication:1712858
DOI10.1016/j.jtbi.2018.09.020zbMath1406.92054OpenAlexW2890939260WikidataQ57154851 ScholiaQ57154851MaRDI QIDQ1712858
Renato Natal Jorge, Jorge Belinha, Ana-Isabel Guerra
Publication date: 1 February 2019
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2018.09.020
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Cell movement (chemotaxis, etc.) (92C17) Research exposition (monographs, survey articles) pertaining to biology (92-02)
Cites Work
- Unnamed Item
- Mathematical model of hyperbaric oxygen therapy applied to chronic diabetic wounds
- A finite-element model for healing of cutaneous wounds combining contraction, angiogenesis and closure
- Cellular automaton modeling of biological pattern formation. Characterization, applications, and analysis. With a foreword by Philip K. Maini
- Computational approaches to solving equations arising from wound healing
- Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
- Nonlinear behaviors of capillary formation in a deterministic angiogenesis model
- Stochastic model of leukocyte chemosensory movement
- A mathematical model of tissue replacement during epidermal wound healing
- A simplified model of wound healing. II: The critical size defect in two dimensions
- A model of wound-healing angiogenesis in soft tissue
- Investigating a simple model of cutaneous wound healing angiogenesis
- Explicit solutions of a simplified model of capillary sprout growth during tumor angiogenesis
- A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins
- Numerical modeling of a mechano-chemical theory for wound contraction analysis
- The Hele-Shaw asymptotics for mechanical models of tumor growth
- A Discrete Mathematical Model for Angiogenesis
- Single-Cell-Based Models in Biology and Medicine
- Mathematical Modelling of Angiogenesis in Wound Healing: Comparison of Theory and Experiment
- Mathematical Modelling of Tumour Angiogenesis and the Action of Angiostatin as a Protease Inhibitor
- Cell-Oriented Modeling of In Vitro Capillary Development
- A mechanochemical model of angiogenesis and vasculogenesis
- Numerical Modelling of Epidermal Wound Healing
- A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I: The role of protease inhibitors in preventing angiogenesis
