Optimal control of a mathematical model for cancer chemotherapy under tumor heterogeneity

S Wang, H Schättler - Mathematical Biosciences & Engineering, 2016 - aimsciences.org
We consider cancer chemotherapy as an optimal control problem with the aim to minimize a
combination of the tumor volume and side effects over an a priori specified therapy horizon …

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 …

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 …

Mathematical model of optimal chemotherapy strategy with allowance for cell population dynamics in a heterogeneous tumor

AV Antipov, AS Bratus' - Computational mathematics and mathematical …, 2009 - Springer
A mathematical model of tumor cell population dynamics is considered. The tumor is
assumed to consist of cells of two types: amenable and resistant to chemotherapeutic …

On optimal chemotherapy for heterogeneous tumors

U Ledzewicz, H Schättler - Journal of Biological Systems, 2014 - World Scientific
A mathematical model for cancer chemotherapy of heterogeneous tumor populations is
considered as an optimal control problem with the objective to minimize the tumor burden …

Dynamics and control of a mathematical model for metronomic chemotherapy

U Ledzewicz, B Amini, H Schättler - Mathematical Biosciences & …, 2015 - aimsciences.org
A 3-compartment model for metronomic chemotherapy that takes into account cancerous
cells, the tumor vasculature and tumor immune-system interactions is considered as an …

[PDF][PDF] A mathematical model of chemotherapy with variable infusion.

I Abdulrashid, X Han - Communications on Pure & Applied …, 2020 - researchgate.net
A nonautonomous mathematical model of chemotherapy cancer treatment with time-
dependent infusion concentration of the chemotherapy agent is developed and studied. In …

On optimal chemotherapy with a strongly targeted agent for a model of tumor-immune system interactions with generalized logistic growth

U Ledzewicz, O Olumoye… - … Biosciences & Engineering, 2013 - aimsciences.org
In this paper, a mathematical model for chemotherapy that takes tumor immune-system
interactions into account is considered for a strongly targeted agent. We use a classical …

Maximization of viability time in a mathematical model of cancer therapy

A Bratus, I Samokhin, I Yegorov, D Yurchenko - Mathematical biosciences, 2017 - Elsevier
In this paper, we study a dynamic optimization problem for a general nonlinear mathematical
model for therapy of a lethal form of cancer. The model describes how the populations of …

Optimal control problems for differential equations applied to tumor growth: state of the art

C Rojas, J Belmonte-Beitia - Applied Mathematics and Nonlinear …, 2018 - sciendo.com
In this manuscript, we shall apply the tools and methods from optimal control to analyze
various minimally parameterized models that describe the dynamics of populations of …