| Issue |
Math. Model. Nat. Phenom.
Volume 17, 2022
Cancer modelling
|
|
|---|---|---|
| Article Number | 12 | |
| Number of page(s) | 18 | |
| DOI | https://doi.org/10.1051/mmnp/2022010 | |
| Published online | 09 June 2022 | |
A mathematical justification for metronomic chemotherapy in oncology
1
Department of Mathematics, Statistics and Computation, Universidad de Cantabria, Avda. de los Castros, s/n, 39005 Santander, Spain
2
Advanced Computing and e-Science Group, Instituto de Física de Cantabria (IFCA), Universidad de Cantabria-CSIC, Avda. de los Castros, s/n, 39005 Santander, Spain
* Corresponding author: lafernandez@unican.es
Received:
14
October
2021
Accepted:
24
March
2022
We mathematically justify metronomic chemotherapy as the best strategy to apply many cytotoxic drugs in oncology for both curative and palliative approaches, assuming the classical pharmacokinetic model together with the Emax pharmacodynamic and the Norton-Simon hypothesis. From the mathematical point of view, we will consider two mixed-integer nonlinear optimization problems, where the unknowns are the number of the doses and the quantity of each one, adjusting the administration times a posteriori.
Mathematics Subject Classification: 93C15 / 92C50 / 90C30
Key words: Metronomic chemotherapy / mixed-integer nonlinear optimization / Norton-Simon hypothesis / Emax model
© The authors. Published by EDP Sciences, 2022
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