Some mathematical models for cancer chemotherapy
نویسندگان
چکیده
منابع مشابه
Mathematical Models of Chemotherapy
Suppose one injects a drug into an animal. What is the time course of the drug concentration in the blood and in the various organs of the body? Although preliminary attempts to set up mathematical models of this problem were made by Teorell [1], [2] and models of certain special cases have been considered by von Schrotter [3], Smith and Morales [4], and Morales and Smith [5], [6], it continues...
متن کاملMathematical Modeling and Lyapunov-Based Drug Administration in Cancer Chemotherapy
In this paper a new mathematical model is developed for the dynamics between tumor cells, normal cells, immune cells, chemotherapy drug concentration and drug toxicity. Then, the theorem of Lyapunov stability is applied to design treatment strategies for drug protocols that ensure a desired rate of tumor cell kill and push the system to the area with smaller tumor cells. Using of this theorem a...
متن کاملSymplectic and symmetric methods for the numerical solution of some mathematical models of celestial objects
In the last years, the theory of numerical methods for system of non-stiff and stiff ordinary differential equations has reached a certain maturity. So, there are many excellent codes which are based on Runge–Kutta methods, linear multistep methods, Obreshkov methods, hybrid methods or general linear methods. Although these methods have good accuracy and desirable stability properties such as A...
متن کاملSome Mathematical Models in Evolutionary Genetics
As explained beautifully in Warren Ewens’ chapter, mathematical models played a decisive role in reconciling Mendelian genetics with Darwin’s theory of evolution by natural selection. Out of this successful enterprise during the early 20th century, the field of population genetics emerged. Population genetics is concerned with the study of the genetic composition of populations. This compositio...
متن کاملMathematical models for human cancer incidence rates
The overall cancer incidence rate declines at old ages. Possible causes of this decline include the effects of cross-sectional data that transform cohort dynamics into age patterns, population heterogeneity that selects individuals susceptible to cancer, a decline in some carcinogenic exposures in older individuals, underdiagnostics, and the effects of individual aging that slow down major phys...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1994
ISSN: 0898-1221
DOI: 10.1016/0898-1221(94)00179-0