An immune system-tumour interactions model with discrete time delay: model analysis and validation
From MaRDI portal
Publication:2199604
DOI10.1016/j.cnsns.2015.10.022OpenAlexW2963509154MaRDI QIDQ2199604
Publication date: 11 September 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.02030
Related Items (12)
Study of dose-dependent combination immunotherapy using engineered T cells and IL-2 in cervical cancer ⋮ A mathematical model for tumor growth and treatment using virotherapy ⋮ Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay ⋮ Complicated dynamics of tumor-immune system interaction model with distributed time delay ⋮ Most probable trajectories in the delayed tumor growth model excited by a multiplicative non-Gaussian noise ⋮ Influence of distributed delays on the dynamics of a generalized immune system cancerous cells interactions model ⋮ A fractional-order delay differential model with optimal control for cancer treatment based on synergy between anti-angiogenic and immune cell therapies ⋮ Bifurcations and Multistability in a Model of Cytokine-Mediated Autoimmunity ⋮ Optimal control of variable-order fractional model for delay cancer treatments ⋮ Developing and studying the dynamical behavior of a nonlinear mathematical model for cancers with tumor by considering immune system role ⋮ Nonlinear dynamics in tumor-immune system interaction models with delays ⋮ Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gompertz model with delays and treatment: mathematical analysis
- The nature of Hopf bifurcation for the Gompertz model with delays
- Qualitative and computational analysis of a mathematical model for tumor-immune interactions
- Modelling lymphoma therapy and outcome
- Delay-induced oscillatory dynamics of tumour-immune system interaction
- Stability and bifurcations for the chronic state in Marchuk's model of an immune system
- Modeling immunotherapy of the tumor -- immune interaction
- Introduction to functional differential equations
- Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
- Global analysis of Marchuk's model in a case of weak immune system
- A time delay model of tumour-immune system interactions: global dynamics, parameter estimation, sensitivity analysis
- Behavior of tumors under nonstationary therapy
- Delay-induced oscillatory dynamics in humoral mediated immune response with two time delays
- Mathematical modelling of immune reaction against gliomas: sensitivity analysis and influence of delays
- A dynamical model of tumour immunotherapy
- Predator-prey equations simulating an immune response
- A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences
- GLOBAL ANALYSIS OF MARCZUK'S MODEL IN CASE OF STRONG IMMUNE SYSTEM
- A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An Optimal Control Approach
- Bifurcations in Delay Differential Equations and Applications to Tumor and Immune System Interaction Models
- Cellular Immunotherapy for High Grade Gliomas: Mathematical Analysis Deriving Efficacious Infusion Rates Based on Patient Requirements
- Assessment of cancer immunotherapy outcome in terms of the immune response time features
- Hopf Bifurcation in Differential Equations with Delay for Tumor–Immune System Competition Model
- Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
- ANTI-TUMOR IMMUNITY AND TUMOR ANTI-IMMUNITY IN A MATHEMATICAL MODEL OF TUMOR IMMUNOTHERAPY
This page was built for publication: An immune system-tumour interactions model with discrete time delay: model analysis and validation
