title: Review on experiment-based two- and three-dimensional models for wound healing.
abstract: Traumatic and chronic wounds are a considerable medical challenge that affects many populations and their treatment is a monetary and time-consuming burden in an ageing society to the medical systems. Because wounds are very common and their treatment is so costly, approaches to reveal the responses of a specific wound type to different medical procedures and treatments could accelerate healing and reduce patient suffering. The effects of treatments can be forecast using mathematical modelling that has the predictive power to quantify the effects of induced changes to the wound-healing process. Wound healing involves a diverse and complex combination of biophysical and biomechanical processes. We review a wide variety of contemporary approaches of mathematical modelling of gap closure and wound-healing-related processes, such as angiogenesis. We provide examples of the understanding and insights that may be garnered using those models, and how those relate to experimental evidence. Mathematical modelling-based simulations can provide an important visualization tool that can be used for illustrational purposes for physicians, patients and researchers.
authors.affiliation: Faculty of Biomedical Engineering , Technion-Israel Institute of Technology , Haifa 3200003 , Israel.
authors.forename: Daphne
authors.identifier: 0000-0002-9670-3418
authors.initials: D
authors.lastname: Weihs
authors.affiliation: Department of Biomedical Engineering, Faculty of Engineering , Tel Aviv University , Tel Aviv 6997801 , Israel.
authors.forename: Amit
authors.initials: A
authors.lastname: Gefen
authors.affiliation: Department of Applied Mathematics , Delft University of Technology , Delft , The Netherlands.
authors.forename: Fred J
authors.identifier: 0000-0003-2212-1711
authors.initials: FJ
authors.lastname: Vermolen
keywords: angiogenesis; cell deformation; cell migration; cellular automata models; partial differential equations; particle methods