Literature DB >> 2708919

Numerical simulation of a stochastic model for cancerous cells submitted to chemotherapy.

M Abundo1, C Rossi.   

Abstract

A stochastic model is proposed to study the problem of inherent resistance by cell populations when chemotherapeutic agents are used to control tumor growth. Stochastic differential equations are introduced and numerically integrated to simulate expected response to the chemotherapeutic strategies as a function of different parameters. Satisfactory demonstration runs of the model indicate that it could represent a useful tool in verifying the results of experimental and clinical chemotherapy courses and planning treatment strategies. Some types of behaviour are illustrated graphically.

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Year:  1989        PMID: 2708919     DOI: 10.1007/BF00276082

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  1 in total

1.  Origin of the resistance of leukaemic cells to folic acid antagonists.

Authors:  L W LAW
Journal:  Nature       Date:  1952-04-12       Impact factor: 49.962

  1 in total
  4 in total

1.  A stochastic model for predator-prey systems: basic properties, stability and computer simulation.

Authors:  M Abundo
Journal:  J Math Biol       Date:  1991       Impact factor: 2.259

2.  A spatial model of tumor-host interaction: application of chemotherapy.

Authors:  Peter Hinow; Philip Gerlee; Lisa J McCawley; Vito Quaranta; Madalina Ciobanu; Shizhen Wang; Jason M Graham; Bruce P Ayati; Jonathan Claridge; Kristin R Swanson; Mary Loveless; Alexander R A Anderson
Journal:  Math Biosci Eng       Date:  2009-07       Impact factor: 2.080

3.  Multi-objective optimal chemotherapy control model for cancer treatment.

Authors:  S Algoul; M S Alam; M A Hossain; M A A Majumder
Journal:  Med Biol Eng Comput       Date:  2010-10-01       Impact factor: 2.602

4.  Computational modeling of tumor response to vascular-targeting therapies--part I: validation.

Authors:  Jana L Gevertz
Journal:  Comput Math Methods Med       Date:  2011-03-23       Impact factor: 2.238

  4 in total

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