An optimal control problem of immuno-chemotherapy in presence of gene therapy

DOI10.3934/math.2021669OpenAlexW3191014458MaRDI QIDQ2671158

Kamyar Hosseini, Hemanta Kumar Sarmah, Kaushik Dehingia, Khadijeh Sadri, Chun-Gil Park, Soheil Salahshour

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021669

zbMATH Keywords

stabilityoptimal controlcancerchemotherapyimmunotherapygene therapy

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Time series analysis of dynamical systems (37M10) Simulation of dynamical systems (37M05) General biology and biomathematics (92B05)

Cites Work

• Unnamed Item
• A history of the study of solid tumour growth: the contribution of mathematical modelling
• Mathematical modelling and analysis of the tumor treatment regimens with pulsed immunotherapy and chemotherapy
• Qualitative and computational analysis of a mathematical model for tumor-immune interactions
• Mathematical model creation for cancer chemo-immunotherapy
• A mathematical model for single cell cancer\,--\, immune system dynamics
• On optimal delivery of combination therapy for tumors
• Modeling immunotherapy of the tumor -- immune interaction
• Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
• Evaluating the efficacies of maximum tolerated dose and metronomic chemotherapies: a mathematical approach
• Optimal finite cancer treatment duration by using mixed vaccine therapy and chemotherapy: state dependent Riccati equation control
• Dynamical behaviour of a tumor-immune system with chemotherapy and optimal control
• The combined effects of optimal control in cancer remission
• A mathematical model of the enhancement of tumor vaccine efficacy by immunotherapy
• Differential equations. Classical to controlled
• A mathematical model for the effect of anti-angiogenic therapy in the treatment of cancer tumours by chemotherapy
• A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia
• Optimal control of tumour-immune model with time-delay and immuno-chemotherapy
• Optimal treatment strategies for delayed cancer-immune system with multiple therapeutic approach
• On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach
• Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives
• Modeling the effect of immunotherapies on human castration-resistant prostate cancer
• A mathematical model of cancer treatment by radiotherapy followed by chemotherapy
• Delay differential model for tumour-immune response with chemoimmunotherapy and optimal control
• Stability analysis of a mathematical model for glioma-immune interaction under optimal therapy
• A dynamical model of tumour immunotherapy
• A Mathematical Model of Gene Therapy for the Treatment of Cancer
• A SIMPLE MODEL FOR CONTROL OF TUMOR CELLS
• ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
• OPTIMAL CONTROL OF MIXED IMMUNOTHERAPY AND CHEMOTHERAPY OF TUMORS
• Optimal control for a mathematical model for chemotherapy with pharmacometrics
• Optimal control analysis of combined chemotherapy-immunotherapy treatment regimens in a PKPD cancer evolution model
• Optimal control homotopy perturbation method for cancer model

This page was built for publication: An optimal control problem of immuno-chemotherapy in presence of gene therapy