TOWARDS A STOCHASTIC TWO-COMPARTMENT MODEL IN TUMOR GROWTH

• Albano Giuseppina

  Università di Salerno

• Giorno Virginia

  Università di Salerno

Abstract

A stochastic model of tumor growth incorporating several key elements of the growth processes is presented. Generalizing a previous work by the authors, two one-dimensional diffusion processes representing populations of proliferating and quiescent cells are obtained. Their forms turn out by their relation with total tumor population analysed in [1]. The proposed model is able to incorporate the effects of the mutual interactions between the two subpopulations. It is also used to simulate the effects of two kinds of time-dependent therapies: non-specific cycle and specific cycle drugs. Moreover, the first-exit-time problem is analyzed to study cancer evolution in the presence of a time-dependent therapy.

Journal

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 67 (2), 305-318, 2008

  International Society for Mathematical Sciences

Keywords

• Tumor
• diffusion process
• proliferating and quiescent population

Details

• CRID: 1390002184880242944
• NII Article ID: 10021089616
• NII Book ID: AA1150654X
• DOI: 10.32219/isms.67.2_305
• ISSN: 13460447
• Text Lang: en
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed