A review of optimal chemotherapy protocols: From MTD towards metronomic therapy

S. Anita; N. Hritonenko; G. Marinoschi; A. Swierniak; U. Ledzewicz; H. Schättler

doi:10.1051/mmnp/20149409

A review of optimal chemotherapy protocols: From MTD towards metronomic therapy

S. Anita
, N. Hritonenko
, G. Marinoschi
, A. Swierniak
, U. Ledzewicz
, H. Schättler

Department of Systems Biology and Engineering (RAU/RAU1)

Southern Illinois University
Washington University St. Louis

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

We review mathematical results about the qualitative structure of chemotherapy protocols that were obtained with the methods of optimal control. As increasingly more complex features are incorporated into the mathematical model - progressing from models for homogeneous, chemotherapeutically sensitive tumor cell populations to models for heterogeneous agglomerations of subpopulations of various sensitivities to models that include tumor immune-system interactions - the structures of optimal controls change from bang-bang solutions (which correspond to maximum dose rate chemotherapy with restperiods) to solutions that favor singular controls (representing reduced dose rates). Medically, this corresponds to a transition from standard MTD (maximum tolerated dose) type protocols to chemo-switch strategies towards metronomic dosing.

Original language	English
Pages (from-to)	131-152
Number of pages	22
Journal	Mathematical Modelling of Natural Phenomena
Volume	9
Issue number	4
DOIs	https://doi.org/10.1051/mmnp/20149409
Publication status	Published - 2014

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Cancer chemotherapy
Homogeneous and heterogeneous tumor populations
Optimal control
Tumor immune system interactions

ASJC Scopus subject areas

Modeling and Simulation

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10.1051/mmnp/20149409

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AU - Marinoschi, G.

AU - Swierniak, A.

AU - Ledzewicz, U.

AU - Schättler, H.

PY - 2014

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AB - We review mathematical results about the qualitative structure of chemotherapy protocols that were obtained with the methods of optimal control. As increasingly more complex features are incorporated into the mathematical model - progressing from models for homogeneous, chemotherapeutically sensitive tumor cell populations to models for heterogeneous agglomerations of subpopulations of various sensitivities to models that include tumor immune-system interactions - the structures of optimal controls change from bang-bang solutions (which correspond to maximum dose rate chemotherapy with restperiods) to solutions that favor singular controls (representing reduced dose rates). Medically, this corresponds to a transition from standard MTD (maximum tolerated dose) type protocols to chemo-switch strategies towards metronomic dosing.

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KW - Homogeneous and heterogeneous tumor populations

KW - Optimal control

KW - Tumor immune system interactions

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IS - 4

ER -

A review of optimal chemotherapy protocols: From MTD towards metronomic therapy

Abstract

UN SDGs

Keywords

ASJC Scopus subject areas

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