شماره ركورد كنفرانس :
5551
عنوان مقاله :
Numerical simulation of capillary formation model in tumor angiogenesis problem in one- and two-dimensional cases
پديدآورندگان :
Fazayel Mahdiehalsadat Amirkabir University of Technology (Tehran Polytechnic) , Abbaszadeh Mosatafa Amirkabir University of Technology (Tehran Polytechnic) , Dehghan Mehdi Amirkabir University of Technology (Tehran Polytechnic)
كليدواژه :
Tumor angiogenesis factor , Steady , state , Direct meshless local Petrov–Galerkin method , Endothelial cells , Capillary formation
عنوان كنفرانس :
رياضيات زيستي
چكيده فارسي :
The main aim of this paper is to determine mathematically the steadystate behavior of tumor angiogenesis factor and the motion of endothelial cells along the capillary governed by the model equations. The direct meshless local Petrov–Galerkin method is developed for the numerical solution of a mathematical models for capillary formation in tumor angiogenesis in one and two dimentional cases.