Time delays in proliferation process for solid avascular tumour
نویسندگان
چکیده
منابع مشابه
Time Delays in Solid Avascular Tumour Growth
In the paper the model of early stage of tumour growth is described. Two main cellular processes are considered — proliferation and apoptosis. We focused on the effect of time delays in both processes. Mathematical analysis and computer simulations are presented. INTRODUCTION Many models which study different stages and effects of tumour growth were proposed and studied within last years, e.g. ...
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A system of nonlinear partial differential equations is proposed as a model for the growth of an avascular-tumour spheroid. The model assumes a continuum of cells in two states, living or dead, and, depending on the concentration of a generic nutrient, the live cells may reproduce (expanding the tumour) or die (causing contraction). These volume changes resulting from cell birth and death gener...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2003
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(03)80019-5