Multistage tumour growth through stochastic model with continuous time

P. Tirupathi Rao, T. Ganesh and P.R.S. Reddy

International Journal of Enterprise Network Management, 2011, vol. 4, issue 4, 367-379

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. (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijenma:v:4:y:2011:i:4:p:367-379

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