An optimal treatment strategy for a leukemia immune model governed by reaction-diffusion equations

DOI10.1007/s10883-022-09621-1OpenAlexW4310076208MaRDI QIDQ6186664

Publication date: 9 January 2024

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-022-09621-1

zbMATH Keywords

optimal treatment strategy first-order necessary optimality condition reaction-diffusion leukemia immune system

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Existence of solutions and optimal control for a model of tissue invasion by solid tumours
On strategies on a mathematical model for leukemia therapy
Optimal control problem for an ecosystem with two competing preys and one predator
Optimal response to chemotherapy for a mathematical model of tumor-immune dynamics
Maximization of viability time in a mathematical model of cancer therapy
Optimal control problem for a general reaction-diffusion eco-epidemiological model with disease in prey
Semigroups of linear operators and applications to partial differential equations
Compact sets in the space \(L^ p(0,T;B)\)
Optimal control strategies for a new ecosystem governed by reaction-diffusion equations
Mathematical model of chimeric anti-gene receptor (CAR) T cell therapy with presence of cytokine
The combined effects of optimal control in cancer remission
Optimal control in a mathematical model for leukemia therapy with phase constraints
On a prey-predator reaction-diffusion system with Holling type III functional response
An optimal control problem for a two-prey and one-predator model with diffusion
CAR T cell therapy in B-cell acute lymphoblastic leukaemia: insights from mathematical models
Optimal control problem for a general reaction-diffusion tumor-immune system with chemotherapy
Finite element approximation of spatially extended predator-prey interactions with the Holling type II functional response
CAR T cells for T-cell leukemias: insights from mathematical models
Optimal Control of a Nutrient-Phytoplankton-Zooplankton-Fish System
Existence of Solutions and Local Null Controllability for a Model of Tissue Invasion by Solid Tumors
Optimal Control Applied to Cell-Cycle-Specific Cancer Chemotherapy

This page was built for publication: An optimal treatment strategy for a leukemia immune model governed by reaction-diffusion equations