Geodesic
A mathematical justification for metronomic chemotherapy in oncology
Luis A. Fernández1 ; Cecilia Pola1 ; Judith Sáinz-Pardo2
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
Mathematical modelling of natural phenomena, Tome 17 (2022), article no. 12.

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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.
DOI : 10.1051/mmnp/2022010

Luis A. Fernández 1 ; Cecilia Pola 1 ; Judith Sáinz-Pardo 2

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 
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Luis A. Fernández; Cecilia Pola; Judith Sáinz-Pardo. A mathematical justification for metronomic chemotherapy in oncology. Mathematical modelling of natural phenomena, Tome 17 (2022), article  no. 12. doi : 10.1051/mmnp/2022010. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/2022010/

[1] S. Benzekry, C. Lamont, A. Beheshti, A. Tracz, J.M.L. Ebos, L. Hlatky, P. Hahnfeldt Classical mathematical models for description and prediction of experimental tumor growth PLOS Comput. Biol. 2014 1 19

[2] M.U. Bogdanska, M. Bodnar, J. Belmonte-Beitia, M. Murek, P. Schucht, J. Beck, V.M. Pérez-García A mathematical model of low grade gliomas treated with temozolomide and its therapeutical implications Math. Biosci. 2017 1 13

[3] DailyMed, U.S. National Library of Medicine, National Institutes of Health, Health Human Services. https://dailymed.nlm. nih.gov/dailymed/index.cfm (accessed 2022-2-20).

[4] C. Faivre, D. Barbolosi, E. Pasquier, N. André A mathematical model for the administration of temozolomide: comparative analysis of conventional and metronomic chemotherapy regimens Cancer Chemother. Pharmacol. 2013 1013 1019

[5] L.A. Fernández, C. Pola Optimal control problems for the Gompertz model under the Norton-Simon hypothesis in chemotherapy Discrete Contin. Dyn. Syst. B 2019 2577 2612

[6] P. Hahnfeldt, J. Folkman, L. Hlatky Minimizing long-term burden: the logic for metronomic chemotherapeutic dosing and its angiogenic basis J. Theoret. Biol. 2003 545 554

[7] I. Kareva, D.J. Waxman, G.L. Klement Metronomic chemotherapy: an attractive alternative to maximum tolerated dose therapy that can activate anti-tumor immunity and minimize therapeutic resistance Cancer Lett. 2015 100 106

[8] U. Ledzewicz, H. Schättler Application of mathematical models to metronomic chemotherapy: What can be inferred from minimal parameterized models? Cancer Lett. 2017 74 80

[9] NCI: https://www.cancer.gov/publications/dictionaries/cancer-terms/def/metronomic-chemotherapy (accessed 2021-10-06).

[10] B. Neyns, A. Tosoni, W.J. Hwu, D.A. Reardon Dose-dense temozolomide regimens: antitumor activity, toxicity, and immunomodulatory effects Cancer 2010 2868 2877

[11] L. Norton, R. Simon Tumor size, sensitivity to therapy, and design of treatment schedules Cancer Treat. Rep. 1977 1307 1317

[12] L. Rosso, C.S. Brock, J.M. Gallo, A. Saleem, P.M. Price, F.E. Turkheimer, E.O. Aboagye A new model for prediction of drug distribution in tumor and normal tissues: pharmacokinetics of temozolomide in glioma patients Cancer Res. 2009 120 127

[13] J. Sáinz-Pardo, Optimization problems associated with differential equation models for chemotherapy. Final Undergraduate Project, Universidad de Cantabria (2020).

[14] O.G. Scharovsky, L.E. Mainetti, V.R. Rozados Metronomic chemotherapy: changing the paradigm that more is better Curr. Oncol. 2009 7 15

[15] R. Simon, L. Norton The Norton-Simon hypothesis: designing more effective and less toxic chemotherapeutic regimens Nat. Clin. Rev. Oncol. 2006 406 407

[16] A.L. Stensjøen, O. Solheim, K.A. Kvistad, A.K. Håberg, Ø. Salvesen, E.M. Berntsen Growth dynamics of untreated glioblastomas in vivo Neuro Oncol. 2015 1402 1411

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