Panetta, J. C. A logistic model of periodic chemotherapy with drug resistance. (English) Zbl 0883.92016 Appl. Math. Lett. 10, No. 1, 123-127 (1997). Summary: A logistic model of periodic chemotherapy is developed that includes drug resistance. Criteria are developed to describe the acceptable number of doses before tumor regrowth due to drug resistance occurs. The model is then compared with some clinical results, and it is shown that they qualitatively match well. Cited in 8 Documents MSC: 92C50 Medical applications (general) 34A05 Explicit solutions, first integrals of ordinary differential equations 39A10 Additive difference equations Keywords:NADIR; logistic growth; cancer; Bernoulli-type differential equation; chemotherapy; drug restistance PDFBibTeX XMLCite \textit{J. C. Panetta}, Appl. Math. Lett. 10, No. 1, 123--127 (1997; Zbl 0883.92016) Full Text: DOI References: [1] Panetta, J. C., A logistic model of periodic chemotherapy, Appl. Math. Lett., 8, 4, 83-86 (1995) · Zbl 0822.92012 [2] Usher, J. R., Some mathematical models for cancer chemotherapy, Computers Math. Applic., 28, 9, 73-80 (1994) · Zbl 0808.92018 [3] Skipper, H. E., On mathematical modeling of critical variables in cancer treatment goals: Better understanding of the past and better planning in the future, Bull. Math. Biol., 48, 3/4, 253-278 (1986) [4] Panetta, J. C.; Adam, J. A., A mathematical model of cycle-specific chemotherapy, Mathl. Comput. Modelling, 22, 2, 67-82 (1995) · Zbl 0829.92011 [5] Michelson, S.; Miller, B. E.; Glicksman, A. S.; Leith, J. T., Tumor micro-ecology and competitive interactions, J. Theoret. Biol., 128, 2, 233-246 (1987) [6] Michelson, S.; Leith, J. T., Effects of differential cell kill on the dynamic composition of heterogeneous tumors, Computers Math. Applic., 20, 4-6, 149-159 (1990) [7] Michelson, S.; Leith, J. T., Tumor heterogeneity: A review of the theory, Drug News & Perspectives, 6, 9, 655-661 (November 1993) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.