16 research outputs found
Computational modelling of wound healing insights to develop new treatments
About 1% of the population will suffer a severe wound during their life. Thus, it is really important to develop new techniques in order to properly treat these injuries due to the high socioeconomically impact they suppose. Skin substitutes and pressure based therapies are currently the most promising techniques to heal these injuries. Nevertheless, we are still far from finding a definitive skin substitute for the treatment of all chronic wounds. As a first step in developing new tissue engineering tools and treatment techniques for wound healing, in silico models could help in understanding the mechanisms and factors implicated in wound healing. Here, we review mathematical models of wound healing. These models include different tissue and cell types involved in healing, as well as biochemical and mechanical factors which determine this process. Special attention is paid to the contraction mechanism of cells as an answer to the tissue mechanical state. Other cell processes such as differentiation and proliferation are also included in the models together with extracellular matrix production. The results obtained show the dependency of the success of wound healing on tissue composition and the importance of the different biomechanical and biochemical factors. This could help to individuate the adequate concentration of growth factors to accelerate healing and also the best mechanical properties of the new skin substitute depending on the wound location in the body and its size and shape. Thus, the feedback loop of computational models, experimental works and tissue engineering could help to identify the key features in the design of new treatments to heal severe wounds
The Effect of Bacteria on Epidermal Wound Healing
Epidermal wound healing is a complex process that repairs injured tissue. The complexity
of this process increases when bacteria are present in a wound; the bacteria interaction
determines whether infection sets in. Because of underlying physiological problems
infected wounds do not follow the normal healing pattern. In this paper we present a
mathematical model of the healing of both infected and uninfected wounds. At the core of
our model is an account of the initiation of angiogenesis by macrophage-derived growth
factors. We express the model as a system of reaction-diffusion equations, and we present
results of computations for a version of the model with one spatial dimension
Numerical techniques for simulating a fractional mathematical model of epidermal wound healing
A semi-stochastic cell-based formalism to model the dynamics of migration of cells in colonies
We consider the movement and viability of individual cells in cell colonies. Cell movement is assumed to take place as a result of sensing the strain energy density as a mechanical stimulus. The model is based on tracking the displacement and viability of each individual cell in a cell colony. Several applications are shown, such as the dynamics of filling a gap within a fibroblast colony and the invasion of a cell colony. Though based on simple principles, the model is qualitatively validated by experiments on living fibroblasts on a flat substrate.Delft Institute of Applied MathematicsElectrical Engineering, Mathematics and Computer Scienc