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 n
A logistic model of periodic chemotherapy with drug resistance
โ Scribed by J.C. Panetta
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 235 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
By using a fixed point theorem of strict-set-contraction, some criteria are established for the existence of positive periodic solutions for a periodic neutral functional differential equation with impulses of the form
The global behaviors of a generalized periodic impulsive Logistic system with nonlinear density dependence are studied. Conditions for the existence and global attractivity of positive periodic solution are obtained via the method of comparison and Liapunov function. The corresponding results for th