Title: Multistage tumour growth through stochastic model with continuous time

Authors: P. Tirupathi Rao; T. Ganesh; P.R.S. Reddy

Addresses: Department of Statistics, SV University, Tirupati – 517 502, A.P., India. ' Department of Statistics, SV University, Tirupati – 517 502, A.P., India. ' Department of Statistics, SV University, Tirupati – 517 502, A.P., India

Abstract: In this paper, we develop the continuous time stochastic model for multi stage malignant tumours with non-homogeneous Poisson process. The statistical measures like expected number and variance of malignant and normal cells were derived through a probability distribution, which developed through a stochastic model. Sensitivity analysis was carried out and the model behaviour was studied including with certain special cases. This model is useful in understanding the tumour behaviour of a patient during the treatment of treatment chemotherapy at any point of time.

Keywords: stochastic models; multistage modelling; SMM; nonhomogenous Poisson process; NHPP; chemotherapy treatment; tumour growth; decision support systems; DSS; malignant tumours; cancer growth; continuous time.

DOI: 10.1504/IJENM.2011.043799

International Journal of Enterprise Network Management, 2011 Vol.4 No.4, pp.367 - 379

Published online: 22 Oct 2014 *

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