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A mathematical model of Doxorubicin treatment efficacy for non-Hodgkin’s lymphoma: Investigation of the current protocol through theoretical modelling results

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Abstract

Doxorubicin treatment outcomes for non-Hodgkin’s lymphomas (NHL) are mathematically modelled and computationally analyzed. The NHL model includes a tumor structure incorporating mature and immature vessels, vascular structural adaptation and NHL cell-cycle kinetics in addition to Doxorubicin pharmacokinetics (PK) and pharmacodynamics (PD). Simulations provide qualitative estimations of the effect of Doxorubicin on high-grade (HG), intermediate-grade (IG) and low-grade (LG) NHL. Simulation results imply that if the interval between successive drug applications is prolonged beyond a certain point, treatment will be inefficient due to effects caused by heterogeneous blood flow in the system.

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Authors and Affiliations

  1. Institute for Medical BioMathematics, 10 Hate’ena Street, P.O.B. 282, 60991, Bene Ataroth, Israel

    B. Ribba, K. Marron & Z. Agur

  2. Centre for Mathematical Biology, Mathematical Institute, University of Oxford, 24-29 St. Giles’, Oxford, OX1 3LB, UK

    T. Alarcón & P. K. Maini

  3. Clinical Pharmacology Unit, Faculty of Medicine Laënnec, University of Lyon, Paradin Street, P.O.B. 8071, 69376, Lyon, France

    B. Ribba

  4. Bioinformatics Unit, Department of Computer Science, University College London, Gower Street, London, WC1E 6BT, UK

    T. Alarcón

Authors
  1. B. Ribba
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  2. K. Marron
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  3. Z. Agur
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  4. T. Alarcón
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  5. P. K. Maini
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Correspondence to Z. Agur.

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Ribba, B., Marron, K., Agur, Z. et al. A mathematical model of Doxorubicin treatment efficacy for non-Hodgkin’s lymphoma: Investigation of the current protocol through theoretical modelling results. Bull. Math. Biol. 67, 79–99 (2005). https://doi.org/10.1016/j.bulm.2004.06.007

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  • DOI: https://doi.org/10.1016/j.bulm.2004.06.007

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