Improving cancer treatments via dynamical biophysical models
Despite significant advances in oncological research, cancer nowadays remains one of the
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …
[HTML][HTML] Prospect for application of mathematical models in combination cancer treatments
The long-term efficacy of targeted therapeutics for cancer treatment can be significantly
limited by the type of therapy and development of drug resistance, inter alia. Experimental …
limited by the type of therapy and development of drug resistance, inter alia. Experimental …
Optimal control analysis of a mathematical model for breast cancer
In this paper, a mathematical model of breast cancer governed by a system of ordinary
differential equations in the presence of chemotherapy treatment and ketogenic diet is …
differential equations in the presence of chemotherapy treatment and ketogenic diet is …
Optimizing adaptive cancer therapy: dynamic programming and evolutionary game theory
M Gluzman, JG Scott… - Proceedings of the …, 2020 - royalsocietypublishing.org
Recent clinical trials have shown that adaptive drug therapies can be more efficient than a
standard cancer treatment based on a continuous use of maximum tolerated doses (MTD) …
standard cancer treatment based on a continuous use of maximum tolerated doses (MTD) …
A survey of optimization models on cancer chemotherapy treatment planning
While chemotherapy is an effective method for treating cancers such as colorectal cancer, its
effectiveness may be dampened by the drug resistance and it may have significant side …
effectiveness may be dampened by the drug resistance and it may have significant side …
Optimal control for selected cancer chemotherapy ODE models: a view on the potential of optimal schedules and choice of objective function
In this article, four different mathematical models of chemotherapy from the literature are
investigated with respect to optimal control of drug treatment schedules. The various models …
investigated with respect to optimal control of drug treatment schedules. The various models …
Numerical investigations of the fractional-order mathematical model underlying immune-chemotherapeutic treatment for breast cancer using the neural networks
The aim of this work is to design a stochastic framework to solve the fractional-order
differential model based on the breast cancer progression during the immune …
differential model based on the breast cancer progression during the immune …
[書籍][B] Applications to regular and bang-bang control: second-order necessary and sufficient optimality conditions in calculus of variations and optimal control
Osmolovskii, Maurer - 2012 - SIAM
The book is devoted to the theory and application of second-order necessary and sufficient
optimality conditions in the Calculus of Variations and Optimal Control. The theory is …
optimality conditions in the Calculus of Variations and Optimal Control. The theory is …
Optimization of an in vitro chemotherapy to avoid resistant tumours
C Carrere - Journal of Theoretical Biology, 2017 - Elsevier
Chemotherapy use against solid tumours often results in the resistance of the cancer cells to
the molecule used. In this paper, we will set up and analyse an ODE model for …
the molecule used. In this paper, we will set up and analyse an ODE model for …
A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy
A model consisting of a system of five ordinary differential equations to simulate the
interactions between normal cells, cancer cells, endothelial cells, chemotherapy agent and …
interactions between normal cells, cancer cells, endothelial cells, chemotherapy agent and …