Mathematical modelling of avascular-tumour growth
نویسندگان
چکیده
منابع مشابه
Mathematical modelling of avascular-tumour growth.
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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In this paper we build on the mathematical model of Ward and King (1998) to study the effects of high molecular mass mitotic inhibitors released at cell death. The model assumes a continuum of living cells which, depending on the concentration of a generic nutrient, generate movement (described by a velocity field) due to the changes in volumes caused by cell birth and death. The necrotic mater...
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The early development of solid tumours has been extensively studied, both experimentally via the multicellular spheroid assay, and theoretically using mathematical modelling. The vast majority of previous models apply specifically to multicell spheroids, which have a characteristic structure of a proliferating rim and a necrotic core, separated by a band of quiescent cells. Many previous models...
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ژورنال
عنوان ژورنال: Mathematical Medicine and Biology
سال: 1997
ISSN: 1477-8599,1477-8602
DOI: 10.1093/imammb/14.1.39