A mathematical model for mesenchymal and chemosensitive cell dynamics.

摘要: The structure of an underlying tissue network has a strong impact on cell dynamics. If, in addition, cells alter the by mechanical and chemical interactions, their movement is called mesenchymal. Important examples for mesenchymal include fibroblasts wound healing metastatic tumour cells. This paper focused latter. Based anisotropic biphasic theory Barocas Tranquillo, which models fibre interstitial solution as two-component fluid, mathematical model interactions with developed. A new description reorientation given orientation-dependent proteolysis added to model. With respect dynamics, equation, based diffusion, extended haptotaxis chemotaxis. chemoattractants are solute fragments, emerging from proteolysis, epidermal growth factor may guide blood vessel. Moreover migration impeded at either high or low density. enables us study chemotactic complex consequential deformation. Numerical simulations deformation carried out two space dimensions. Simulations networks visualise In scenario between clusters good qualitative agreement experimental results achieved. invasion speeds aligned isotropic compared.