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Multistage tumour growth through stochastic model with continuous time

Author

Listed:
  • P. Tirupathi Rao
  • T. Ganesh
  • P.R.S. Reddy

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.

Suggested Citation

  • P. Tirupathi Rao & T. Ganesh & P.R.S. Reddy, 2011. "Multistage tumour growth through stochastic model with continuous time," International Journal of Enterprise Network Management, Inderscience Enterprises Ltd, vol. 4(4), pages 367-379.
    • Handle: RePEc:ids:ijenma:v:4:y:2011:i:4:p:367-379
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