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Evaluating the efficacies of Maximum Tolerated Dose and metronomic chemotherapies: A mathematical approach

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  • Guiraldello, Rafael T.
  • Martins, Marcelo L.
  • Mancera, Paulo F.A.

Abstract

We present a mathematical model based on partial differential equations that is applied to understand tumor development and its response to chemotherapy. Our primary aim is to evaluate comparatively the efficacies of two chemotherapeutic protocols, Maximum Tolerated Dose (MTD) and metronomic, as well as two methods of drug delivery. Concerning therapeutic outcomes, the metronomic protocol proves more effective in prolonging the patient’s life than MTD. Moreover, a uniform drug delivery method combined with the metronomic protocol is the most efficient strategy to reduce tumor density.

Suggested Citation

  • Guiraldello, Rafael T. & Martins, Marcelo L. & Mancera, Paulo F.A., 2016. "Evaluating the efficacies of Maximum Tolerated Dose and metronomic chemotherapies: A mathematical approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 145-156.
    • Handle: RePEc:eee:phsmap:v:456:y:2016:i:c:p:145-156
    DOI: 10.1016/j.physa.2016.03.019
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    References listed on IDEAS

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    3. Lucia Ricci-Vitiani & Roberto Pallini & Mauro Biffoni & Matilde Todaro & Gloria Invernici & Tonia Cenci & Giulio Maira & Eugenio Agostino Parati & Giorgio Stassi & Luigi Maria Larocca & Ruggero De Mar, 2010. "Tumour vascularization via endothelial differentiation of glioblastoma stem-like cells," Nature, Nature, vol. 468(7325), pages 824-828, December.
    4. Reis, E.A. & Santos, L.B.L. & Pinho, S.T.R., 2009. "A cellular automata model for avascular solid tumor growth under the effect of therapy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(7), pages 1303-1314.
    5. Junior, S.C.Ferreira & Martins, M.L. & Vilela, M.J., 1998. "A growth model for primary cancer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 569-580.
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