Computational Modeling of Solid Tumor Growth: The Avascular Stage
نویسندگان
چکیده
منابع مشابه
Computational modeling of solid tumor growth: the avascular stage
In this paper, we present a mathematical model for avascular tumor growth and its numerical study in two and three dimensions. For this purpose, we use a multiscale model using PDEs to describe the evolution of the tumor cell densities. In our model, cell cycle regulation depends mainly on micro-environment. The cancer growth of volume induces cells motion and tumor expansion. According to biol...
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In this chapter we review existing continuum models of avascular tumor growth, explaining how they are inter-related and the biophysical insight that they provide. The models range in complexity and include one-dimensional studies of radiallysymmetric growth, and two-dimensional models of tumor invasion in which the tumor is assumed to comprise a single population of cells. We also present more...
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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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Tumor growth has long been a target of investigation within the context of mathematical and computer modelling. The objective of this study is to propose and analyze a two-dimensional probabilistic cellular automata model to describe avascular solid tumor growth, taking into account both the competition between cancer cells and normal cells for nutrients and/or space and a time-dependent prolif...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2010
ISSN: 1064-8275,1095-7197
DOI: 10.1137/070708895