The role of growth factors in avascular tumour growth
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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A mathematical model of infiltrative tumour growth taking into account cell proliferation, death and motility is considered. The model is formulated in terms of local cell density and nutrient (oxygen) concentration. In the model the rate of cell death depends on the local nutrient level. Thus heterogeneous nutrient distribution in tissue affects tumour structure and development. The existence ...
متن کاملModelling The Effect of Cell Shedding on Avascular Tumour Growth
Earlier mathematical models of the authors which describe avascular tumour growth are extended to incorporate the process of cell shedding, a feature known to affect the growth of rnulticell spheroids. A continuum of live cells is assumed within which. depending on the concentration of a generic nutrient, movement (described by a velocity field) occurs due to volume changes caused by cell birth...
متن کاملThe role of cell-cell interactions in a two-phase model for avascular tumour growth.
A two-phase model is presented to describe avascular tumour growth. Conservation of mass equations, including oxygen-dependent cell growth and death terms, are coupled with equations of momentum conservation. The cellular phase behaves as a viscous liquid, while the viscosity of the extracellular water manifests itself as an interphase drag. It is assumed that the cells become mechanically stre...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1997
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(97)00143-x