Comput Math Methods Med - Numerical solutions for a model of tissue invasion and migration of tumour cells.

Tópicos

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Resumo

The goal of this paper is to construct a new algorithm for the numerical simulations of the evolution of tumour invasion and metastasis. By means of mathematical model equations and their numerical solutions we investigate how cancer cells can produce and secrete matrix degradative enzymes, degrade extracellular matrix, and invade due to diffusion and haptotactic migration. For the numerical simulations of the interactions between the tumour cells and the surrounding tissue, we apply numerical approximations, which are spectrally accurate and based on small amounts of grid-points. Our numerical experiments illustrate the metastatic ability of tumour cells.

Resumo Limpo

goal paper construct new algorithm numer simul evolut tumour invas metastasi mean mathemat model equat numer solut investig cancer cell can produc secret matrix degrad enzym degrad extracellular matrix invad due diffus haptotact migrat numer simul interact tumour cell surround tissu appli numer approxim spectral accur base small amount gridpoint numer experi illustr metastat abil tumour cell

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