Role of optimal control theory in cancer chemotherapy

GW Swan - Mathematical biosciences, 1990 - Elsevier
This paper presents a review of the ways in which optimal control theory interacts with
cancer chemotherapy. There are three broad areas of investigation. One involves …

Optimal control theory for personalized therapeutic regimens in oncology: Background, history, challenges, and opportunities

AM Jarrett, D Faghihi, DA Hormuth, EABF Lima… - Journal of clinical …, 2020 - mdpi.com
Optimal control theory is branch of mathematics that aims to optimize a solution to a
dynamical system. While the concept of using optimal control theory to improve treatment …

A mathematical tumor model with immune resistance and drug therapy: an optimal control approach

LG De Pillis, A Radunskaya - Computational and Mathematical …, 2001 - Taylor & Francis
We present a competition model of cancer tumor growth that includes both the immune
system response and drug therapy. This is a four-population model that includes tumor cells …

The dynamics of an optimally controlled tumor model: A case study

LG De Pillis, A Radunskaya - Mathematical and computer modelling, 2003 - Elsevier
We present a phase-space analysis of a mathematical model of tumor growth with an
immune response and chemotherapy. We prove that all orbits are bounded and must …

Reinforcement learning design for cancer clinical trials

Y Zhao, MR Kosorok, D Zeng - Statistics in medicine, 2009 - Wiley Online Library
We develop reinforcement learning trials for discovering individualized treatment regimens
for life‐threatening diseases such as cancer. A temporal‐difference learning method called …

Optimal control to develop therapeutic strategies for metastatic castrate resistant prostate cancer

JJ Cunningham, JS Brown, RA Gatenby… - Journal of theoretical …, 2018 - Elsevier
In metastatic castrate resistant prostate cancer (mCRPC), abiraterone is conventionally
administered continuously at maximal tolerated dose until treatment failure. The majority of …

Optimal control drug scheduling of cancer chemotherapy

RB Martin - Automatica, 1992 - Elsevier
This optimal control model of cancer chemotherapy constructs drug schedules that most
effectively reduce the size of a tumour after a fixed period of treatment has elapsed. A …

[图书][B] Optimal control of drug administration in cancer chemotherapy

KL Teo, R Martin - 1993 - books.google.com
This monograph is a study of optimal control applied to cancer chemotherapy, the treatment
of cancer using drugs that kill cancer cells. The aim is to determine whether current methods …

Mathematical modelling of growth of tumour cells with chemotherapeutic cells by using Yang–Abdel–Cattani fractional derivative operator

MN Mishra, AF Aljohani - Journal of Taibah University for Science, 2022 - Taylor & Francis
Cancer is a fatal disease for a very long time. It has its own history. Now it has become one
of the major reasons for death due to its various types. Researchers, scientists and doctors …

Optimal control applied to cell-cycle-specific cancer chemotherapy

JC Panetta, KR Fister - SIAM Journal on Applied Mathematics, 2000 - SIAM
We propose a mathematical model for the growth of cell-cycle-specific dose limiting bone
marrow. In an attempt to determine effective methods of treatment without overdestruction of …