ReviewFrontiers in physiology2015
On the mathematical modeling of wound healing angiogenesis in skin as a reaction-transport process.
Review in Frontiers in physiology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 31 papers, 1 of them a synthesis that pooled it.
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Who cites it
31 citing papers in PubMed, 1 synthesis or guideline pooled it.
- Effect of a high-fat diet and alcohol on cutaneous repair: A systematic review of murine experimental models.PloS one · 2017Pooled it
- AnACS omega · 2026Article
- Computational Modeling of Patient-Specific Healing and Deformation Outcomes Following Breast-Conserving Surgery Based on MRI Data.Annals of biomedical engineering · 2026Article
- Human relevant platforms for cutaneous wound healing research: current landscape, translational gaps, and emerging frontiers.Frontiers in bioengineering and biotechnology · 2026Review
- Dynamic optical coherence tomography for imaging acute wound healing.International wound journal · 2024Article
- Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist.Frontiers in cell and developmental biology · 2024Review
- Models for Implant-Induced Capsular Contracture Post Breast Cancer Surgery.Bulletin of mathematical biology · 2023Article
- Computational mechanobiology model evaluating healing of postoperative cavities following breast-conserving surgery.Computers in biology and medicine · 2023Article
- Modelling the Effect of Matrix Metalloproteinases in Dermal Wound Healing.Bulletin of mathematical biology · 2023Article
- Computational Mechanobiology Model Evaluating Healing of Postoperative Cavities Following Breast-Conserving Surgery.bioRxiv : the preprint server for biology · 2023Article
- Computational models for generating microvascular structures: Investigations beyond medical imaging resolution.WIREs mechanisms of disease · 2023Review
- Impact of Wound Dressing on Mechanotransduction within Tissues of Chronic Wounds.Biomedicines · 2022Article
- Systems biology of angiogenesis signaling: Computational models and omics.WIREs mechanisms of disease · 2022Review
- Mesenchymal Stem Cells Regenerate Diabetic Foot Ulcers: A Review Article.World journal of plastic surgery · 2022Review
- Mechanobiological wound model for improved design and evaluation of collagen dermal replacement scaffolds.Acta biomaterialia · 2021Article
- Use of a panel of four microRNAs in CSF as a predicted biomarker for postoperative neoangiogenesis in moyamoya disease.CNS neuroscience & therapeutics · 2021Article
- Simulation of angiogenesis in three dimensions: Application to cerebral cortex.PLoS computational biology · 2021Article
- Mathematical Modeling Can Advance Wound Healing Research.Advances in wound care · 2021Review
- Comparative analysis of continuum angiogenesis models.Journal of mathematical biology · 2021Article
- A Coupled Mechanobiological Model of Muscle Regeneration In Cerebral Palsy.Frontiers in bioengineering and biotechnology · 2021Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Over the last 30 years, numerous research groups have attempted to provide mathematical descriptions of the skin wound healing process. The development of theoretical models of the interlinked processes that underlie the healing mechanism has yielded considerable insight into aspects of this critical phenomenon that remain difficult to investigate empirically. In particular, the mathematical modeling of angiogenesis, i.e., capillary sprout growth, has offered new paradigms for the understanding of this highly complex and crucial step in the healing pathway. With the recent advances in imaging and cell tracking, the time is now ripe for an appraisal of the utility and importance of mathematical modeling in wound healing angiogenesis research. The purpose of this review is to pedagogically elucidate the conceptual principles that have underpinned the development of mathematical descriptions of wound healing angiogenesis, specifically those that have utilized a continuum reaction-transport framework, and highlight the contribution that such models have made toward the advancement of research in this field. We aim to draw attention to the common assumptions made when developing models of this nature, thereby bringing into focus the advantages and limitations of this approach. A deeper integration of mathematical modeling techniques into the practice of wound healing angiogenesis research promises new perspectives for advancing our knowledge in this area. To this end we detail several open problems related to the understanding of wound healing angiogenesis, and outline how these issues could be addressed through closer cross-disciplinary collaboration.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.