A Stochastic Growth Model for Cancer Cells under Mutation and Metastasis in an Organ

Jayabharathiraj, J

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A Stochastic Growth Model for Cancer Cells under Mutation and Metastasis in an Organ

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Abstract:

This study has proposed a stochastic model for cancerous growth due to its metastasis in an organ. The birth-and-death and migration processes based on growth and loss rates of pathogenesis of malignant and normal cells are considered. It is assumed that the growth and loss/death rates of both normal and malignant cells follows Poisson processes. The joint probability generating functions in the form of partial differential equation along with statistical measures were derived in terms of system of ordinary differential equations. The Model behaviour was analysed by solving those differential equations and presented graphically.

Info:

Periodical:

International Frontier Science Letters (Volume 8)

Pages:

19-30

DOI:

https://doi.org/10.18052/www.scipress.com/IFSL.8.19

Citation:

J. Jayabharathiraj, "A Stochastic Growth Model for Cancer Cells under Mutation and Metastasis in an Organ", International Frontier Science Letters, Vol. 8, pp. 19-30, 2016

Online since:

June 2016

Authors:

J Jayabharathiraj

Keywords:

Birth Process, Cancer Cell Growth, Death Process, Differential Equations, Stochastic Modelling

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Distribution:

Open Access

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Creative Commons Attribution 4.0 International License

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