Geodesic
Efficiency of cancer treatments: in silico experiments
Elena Piretto1, 2 ; Marcello Delitala1 ; Mario Ferraro3
1 Department of Mathematical Sciences, Politecnico di Torino, Italy.
2 Department of Mathematics, Universitá degli Studi di Torino, Italy.
3 Department of Physics, Universitá degli Studi di Torino, Italy.
Mathematical modelling of natural phenomena, Tome 15 (2020), article no. 19

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Despite the advances in the formulation of different therapies to fight cancer, the design of successful protocols is still a challenging problem. In order to provide some indications on the effectiveness of medical treatments, results from in silico experiments are presented based on a mathematical model comprising two cancer populations competing for resources and with different susceptibilities to the action of therapies. The focus is on the outcome of protocols in which the total dose can be administered with different time distributions. An efficiency index is proposed to quantify the effectiveness of different protocols. Simulations show that a standard dose chemotherapy is effective when the sensitive clone has a marked competitive advantage, whereas its outcome is much worse when a resistant clone emerges; obviously combinations of immune and chemotherapy work better. These results, in accord with previous finding reported in the literature, stress the importance to take into account competitive interactions among cancer clones to decide which therapeutic strategy should be adopted. However, it is not just the efficiency that changes in these different configurations of clonal composition and therapy timing. A general rule seems to emerge: when evolutionary pressures are strong, the best protocols entail and early starting of the treatment, whereas, on the contrary, when interactions among clones are weak, therapy should start later. Finally the model has been adapted to investigate the relative efficiency of different protocols, by using data reported in literature regarding experiments with breast cancer cells.
DOI : 10.1051/mmnp/2019031

Elena Piretto 1, 2 ; Marcello Delitala 1 ; Mario Ferraro 3

1 Department of Mathematical Sciences, Politecnico di Torino, Italy.
2 Department of Mathematics, Universitá degli Studi di Torino, Italy.
3 Department of Physics, Universitá degli Studi di Torino, Italy. 
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Elena Piretto; Marcello Delitala; Mario Ferraro. Efficiency of cancer treatments: in silico experiments. Mathematical modelling of natural phenomena, Tome 15 (2020), article  no. 19. doi: 10.1051/mmnp/2019031

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