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Assessing the impact of immunotherapy on oncolytic virotherapy in the treatment of cancer
Combined oncolytic virotherapy and immunotherapy are novel treatment protocols that represent a promising and advantageous strategy for various...
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Bacillus Calmette Guerin (BCG) Immunotherapy for Bladder Cancer: A Control and Mathematical Analysis
In this manuscript, Immunotherapy with Bacillus Calmette Guerin (BCG) vaccine is devised for treating spherical bladder cancer. We considered the...
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An Optimal Control Strategy for Antiretroviral Treatment of HIV Infection in Presence of Immunotherapy
Human immunodeficiency virus infection destroys immune system of an HIV infected individual, which results in the risk of other life threatening...
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Parameter estimation and sensitivity analysis for a model of tumor–immune interaction in the presence of immunotherapy and chemotherapy
A mathematical model has been utilized to examine the interaction between tumor cells and immune cells. In this model, the immune cells include...
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PDE Modeling of Bladder Cancer Treatment Using BCG Immunotherapy
Immunotherapy with Bacillus Calmette-Guérin (BCG)—an attenuated strain of Mycobacterium bovis (M. bovis) used for anti-tuberculosis immunization—is a...
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Modelling the impact of plasma therapy and immunotherapy for recovery of COVID-19 infected individuals
Since the first case of COVID-19 was detected in Wuhan, China in December 2019, COVID-19 has become a pandemic causing a global economic and public...
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Modeling Advanced Immunotherapy with Monoclonal Drugs
In this chapter, applications of monoclonal drugs to control and contain cancer have been studied mathematically. We have used several computer...
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Chemotherapy and Immunotherapy for Tumors: A Study of Quadratic Optimal Control
In this work, we start by Kuznetsov’s model which describes the interaction between two cell populations: tumor cells and effector cells. We insert...
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Understanding the Interplay of CAR-NK Cells and Triple-Negative Breast Cancer: Insights from Computational Modeling
Chimeric antigen receptor (CAR)-engineered natural killer (NK) cells have recently emerged as a promising and safe alternative to CAR-T cells for...
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Metaheuristics and Pontryagin’s minimum principle for optimal therapeutic protocols in cancer immunotherapy: a case study and methods comparison
In this paper, the performance appropriateness of population-based metaheuristics for immunotherapy protocols is investigated on a comparative basis...
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Generalizing the Infectious Disease Model Taking Into Account Diffusion Perturbations, Logistic Dynamics, and Biostimulation
A mathematical model of biinfection is generalized for the conditions of concentrated automated control, taking into account diffusion perturbations,...
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Computational Modeling to Determine the Effect of Phenotypic Heterogeneity in Tumors on the Collective Tumor–Immune Interactions
Tumor immunotherapy aims to maintain or enhance the killing capability of CD8+ T cells to clear tumor cells. The tumor–immune interactions affect the...
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Modeling the Development of Cellular Exhaustion and Tumor-Immune Stalemate
Cellular exhaustion in various immune cells develops in response to prolonged stimulation and overactivation during chronic infections and in cancer....
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Tumor Clearance Analysis on a Cancer Chemo-Immunotherapy Mathematical Model
Mathematical models may allow us to improve our knowledge on tumor evolution and to better comprehend the dynamics between cancer, the immune system...
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Dynamic Analysis of a Model on Tumor-Immune System with Regulation of PD-1/PD-L1 and Stimulation Delay of Tumor Antigen
We propose and investigate a mathematical model on interaction between tumor and the immune system, where the regulation of PD-1/PD-L1 and the...
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Derivation of Macroscopic Equations from Homogeneous Thermostatted Kinetic Equations in the Cancer-Immune System Competition
A model of interactions between cancer cells and immune system cells is considered in the framework of thermostatted kinetic theory. Each cell is...
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Can the Kuznetsov Model Replicate and Predict Cancer Growth in Humans?
Several mathematical models to predict tumor growth over time have been developed in the last decades. A central aspect of such models is the...
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A Hybrid Discrete–Continuum Modelling Approach to Explore the Impact of T-Cell Infiltration on Anti-tumour Immune Response
We present a spatial hybrid discrete–continuum modelling framework for the interaction dynamics between tumour cells and cytotoxic T cells, which...
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Modeling Pancreatic Cancer Dynamics with Immunotherapy
We develop a mathematical model of pancreatic cancer that includes pancreatic cancer cells, pancreatic stellate cells, effector cells and...
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Modeling of Control of the Immune Response in the Acute Form of an Infectious Disease Under Conditions of Uncertainty
The paper considers a numerical solution of the problem of discrete control of the immune response in an infectious disease under conditions of...