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A Stochastic Gompertz Model with Jumps for an Intermittent Treatment in Cancer Growth

  • Virginia Giorno
  • Serena Spina
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8111)

Abstract

To analyze the effect of a therapeutic program that provides intermittent suppression of cancer cells, we suppose that the Gompertz stochastic diffusion process is influenced by jumps that occur according to a probability distribution, producing instantaneous changes of the system state. In this context a jump represents an application of the therapy that leads the cancer mass to a return state randomly chosen. In particular, constant and exponential intermittence distribution are considered for different choices of the return state. We perform several numerical analyses to understand the behavior of the process for different choices of intermittence and return point distributions.

Keywords

Return State Return Distribution Therapeutic Program Intermittent Treatment Return Point 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Virginia Giorno
    • 1
  • Serena Spina
    • 2
  1. 1.Dipartimento di Studi e Ricerche Aziendali, (Management & Information Technology)Università di SalernoFiscianoItaly
  2. 2.Dipartimento di MatematicaUniversità di SalernoFiscianoItaly

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