Mathematical modelling for the role of CD\(4^+\)T cells in tumor-immune interactions
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Publication:2176049
DOI10.1155/2020/7187602OpenAlexW3007695633WikidataQ90148743 ScholiaQ90148743MaRDI QIDQ2176049
Lamiaa El-Shennawy, Hesham A. Elkaranshawy, Ahmed M. Makhlouf
Publication date: 30 April 2020
Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/7187602
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Biochemistry, molecular biology (92C40) Cell biology (92C37)
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Cites Work
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- Analysis of the dynamics of a tumor-immune system with chemotherapy and immunotherapy and quadratic optimal control
- Mathematical model of tumor-immune surveillance
- Mathematical modelling and analysis of the tumor treatment regimens with pulsed immunotherapy and chemotherapy
- Stability of solutions to a mathematical model for necrotic tumor growth with time delays in proliferation
- A partial differential equation model and its reduction to an ordinary differential equation model for prostate tumor growth under intermittent hormone therapy
- Mathematical models for immunology: current state of the art and future research directions
- Adams-Bashforth and Adams-Moulton methods for solving differential Riccati equations
- Mathematical model creation for cancer chemo-immunotherapy
- Mathematical model and its fast numerical method for the tumor growth
- Stability ordinates of Adams predictor-corrector methods
- Spatial tumor-immune modeling
- Existence and uniqueness of global solutions for a mathematical model of antiangiogenesis in tumor growth
- Optimally stable parallel predictors for Adams-Moulton correctors
- Modeling immunotherapy of the tumor -- immune interaction
- Nonlinear systems. Analysis, stability, and control
- Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
- A delay differential equation model for tumor growth
- A mathematical model of tumor-immune evasion and siRNA treatment
- Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis
- Modeling anti-tumor Th1 and Th2 immunity in the rejection of melanoma
- Dynamical behaviour of a tumor-immune system with chemotherapy and optimal control
- A mathematical model of tumor-immune interactions
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Mathematical analysis of a mathematical model of chemovirotherapy: effect of drug infusion method
- Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations
- Stability analysis of a multi-layer tumor model with free boundary
- Mathematical modeling, analysis, and simulation of tumor dynamics with drug interventions
- Innovative approximate analytical solution for standard model of viral dynamics: hepatitis C with direct-acting agents as an implemented case
- A mathematical model for brain tumor response to radiation therapy
- Boundary element method for a free boundary problem modeling three dimensional tumor growth
- Dynamics of tumor-\( \text{CD}4^+\)-cytokine-host cells interactions with treatments
- Interactions between the immune system and cancer: A brief review of non-spatial mathematical models
- Qualitative behavior of systems of tumor-CD4+-cytokine interactions with treatments
- OPTIMAL CONTROL OF MIXED IMMUNOTHERAPY AND CHEMOTHERAPY OF TUMORS
- MATHEMATICAL MODELING OF IN-VIVO TUMOR-IMMUNE INTERACTIONS FOR THE CANCER IMMUNOTHERAPY USING MATURED DENDRITIC CELLS
- Numerical Methods for Ordinary Differential Equations
- Numerical Methods for Ordinary Differential Equations
- A mathematical model of prostate tumor growth under hormone therapy with mutation inhibitor
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