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
A logistic model of periodic chemotherapy
โ Scribed by J.C. Panetta
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 216 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
A logistic differential equation with a time-varying periodic parameter is used to model the growth of cells, in particular cancer cells, in the presences of chemotherapeutic drugs. The chemotherapeutic effects are modeled by a periodic parameter that modifies the growth rate of the cell tissue. A negative growth rate represents the detrimental effects of the drugs. A simple criterion is obtained for the behavior of the chemotherapy.
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