A model for Brain tumor growth

Publish Year: 1396
نوع سند: مقاله کنفرانسی
زبان: English
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NGCMED10_045

تاریخ نمایه سازی: 16 تیر 1397

Abstract:

Introduction: Like all tumours, the biological and clinical aspects of gliomas are complex and the details of theirspatiotemporal growth are still not well understood. In constructing models therefore we have to make some majorassumptions.Methods: To be able to model this incident, we shall consider the whole system and the evolving elements as adynamic – data structure as one it is, which all agents are connected together and will change and diversify by eachother. I accordance with this we will be able to find out about any state during the process which we are interestingin and also we will be able to predict the systems behavior.Results: Let . c(.x, .t) be the number of cells at a position .x and time .t. We take the basic model, in dimensionalform, as a conservation equation ( ) where ρ (time− 1) represents the net rate of growth of cells including proliferation anddeath (or loss). The diffusional flux of cells, J, we take as proportional to the gradientof the cell density: ( ) Conclusion: where .D (distance2/time) is the diffusion coefficient of cells in brain tissue. The theoretical models,referred to above, considered the brain tissue to be homogeneous sothe diffusion and growth rates of the tumour cells are taken to be constant throughoutthe brain. This is not the case, of course, when considering tumour invasion into whitematter from grey. With constant diffusion the governing equation (11.1) with (11.2) isthen: ( )

Authors

Ashkan Dehghan

Member of Young Researchers and Elite Club

Elahe Fakhr

Department of Genetics, Faculty of biology, University of Damghan, Damghan, Iran

Mohammad Sajad Moazemi Goudarzi

Member of Young Researchers and Elite Club