Optimal control in reducing side effects during and after chemotherapy of solid tumors

Z Joorsara, SM Hosseini… - Mathematical Methods in …, 2024 - Wiley Online Library
In this paper, we discuss the effect of optimal chemotherapy doses on solid tumor during
treatment and cancer recurrence after the end of treatment. First, an optimal control problem …

A Multi-Drug Pharmacokinectic Optimal Control Approach in Cancer Chemotherapy

MP Rajan, CK Nanditha - Journal of Optimization Theory and Applications, 2022 - Springer
The mathematical study of the growth and treatment of cancer has been of great interest to
researchers in the recent past as that can help clinical practitioners in adopting new …

General applications of optimal control theory in cancer chemotherapy

GW Swan - Mathematical Medicine and Biology: A Journal of the …, 1988 - academic.oup.com
There are an increasing number of clinical papers dealing with the continuous delivery of an
anticancer drug to patients. In this paper, two basic theoretical models are presented of …

An adaptive pharmacokinetic optimal control approach in chemotherapy for heterogeneous tumor

CK Nanditha, MP Rajan - Journal of Biological Systems, 2022 - World Scientific
The mathematical study of cancer received great attention in recent years. The theoretical
and numerical investigations of models employed for studying the growth of cancer cells and …

Application of optimal control theory to analysis of cancer chemotherapy regimens

AS Matveev, AV Savkin - Systems & control letters, 2002 - Elsevier
Cancer chemotherapy with application of one drug is studied. The negative and inhibiting
effect of the tumor on normal cells is taken into account. Under certain assumptions, we …

Some optimal control problems in cancer chemotherapy with a toxicity limit

JM Murray - Mathematical Biosciences, 1990 - Elsevier
We investigate some models of a cancer chemotherapy problem where the normal cell
population must be maintained above a lower limit and a measure of the total drug use is …

Optimal control for a cancer chemotheraphy problem with general growth and loss functions

JM Murray - Mathematical Biosciences, 1990 - Elsevier
We investigate a model of a cancer chemotherapy problem where the aim is to minimize the
tumor burden at the end of the treatment period while maintaining a normal cell population …

An optimal control problem in cancer chemotherapy

W Krabs, S Pickl - Applied mathematics and computation, 2010 - Elsevier
We consider a mathematical model for the control of the growth of tumor cells which is
formulated as a problem of optimal control theory. It is concerned with chemotherapeutic …

Optimal delivery of chemotherapeutic agents in cancer

P Dua, V Dua, EN Pistikopoulos - Computers & Chemical Engineering, 2008 - Elsevier
Cancer refers to a set of diseases where normal cells of the body lose mechanisms which
are responsible for controlling their growth and motility. Chemotherapy aims to kill these …

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

R Martin, KL Teo - 1994 - 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 …