Evaluating the efficacies of maximum tolerated dose and metronomic chemotherapies: a mathematical approach. (English) Zbl 1400.92257
Summary: We present a mathematical model based on partial differential equations that is applied to understand tumor development and its response to chemotherapy. Our primary aim is to evaluate comparatively the efficacies of two chemotherapeutic protocols, Maximum Tolerated Dose (MTD) and metronomic, as well as two methods of drug delivery. Concerning therapeutic outcomes, the metronomic protocol proves more effective in prolonging the patient’s life than MTD. Moreover, a uniform drug delivery method combined with the metronomic protocol is the most efficient strategy to reduce tumor density.
MSC:
| 92C50 | Medical applications (general) |
| 35K51 | Initial-boundary value problems for second-order parabolic systems |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 92C45 | Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) |
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