A two-stage mutation stochastic model of carcinogenesis driven by a two level random environment
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Date
Authors
Yadavalli, Venkata S. Sarma
Udayabaskaran, S.
Pravina, C.T.
Sreelakshmi, S.
Journal Title
Journal ISSN
Volume Title
Publisher
IJMEMS, India
Abstract
In this paper, we present a two-stage stochastic model of carcinogenesis in a two level random environment. The random
environment switches between two levels, say, 1 and 2 alternately. When the environment is in level 1, a normal cell
either divides into two normal cells or dies; and an intermediate cell divides into two intermediate cells or dies. When the
environment is in level 2, a normal cell either divides into two intermediate cells or divides into one normal cell and one
intermediate cell or divides into two normal cells or dies; and an intermediate cell either divides into two malignant cells
or divides into one intermediate cell and one malignant cell or divides into two intermediate cells or dies. It is assumed
that, once a malignant cell is produced, it generates a malignant tumor with probability 1. We obtain the mean numbers of
normal, intermediate and malignant cells.
Description
Keywords
Age-dependent two-stage stochastic model, Normal cell, Intermediate cell, Malignant cell, Random environment
Sustainable Development Goals
Citation
Yadavalli, V.S.S., Udayabaskaran, S., Pravina, C.T.D. et al. 2020, 'A two-stage mutation stochastic model of carcinogenesis driven by a two level random environment', International Journal of Mathematical, Engineering and Management Sciences, vol. 5, no. 6, pp. 1392-1408.