Viral rebound occurrence immediately after drug discontinuation involving neither drug resistance nor latent reservoir. (English) Zbl 1533.92124
MSC:
92C60
Found 39 Documents (Results 1–39)
Stability and Hopf bifurcation analysis of an HIV infection model in the evolution of drug resistance. (English) Zbl 1539.92042
Discrete and continuum models for the coevolutionary dynamics between CD8+ cytotoxic T lymphocytes and tumour cells. (English) Zbl 1519.92139
Mathematical analysis of hepatitis C virus infection model in the framework of non-local and non-singular kernel fractional derivative. (English) Zbl 1505.92232
A direct RBF-PU method for simulating the infiltration of cytotoxic T-lymphocytes into the tumor microenvironment. (English) Zbl 1497.92060
A fractional numerical study on a chronic hepatitis C virus infection model with immune response. (English) Zbl 1490.92034
Effects of antibodies and cytotoxic T-lymphocytes on cancer: a mathematical study. (English) Zbl 1444.92023
How can HPV-induced cervical cancer be controlled by a combination of drug therapy? A mathematical study. (English) Zbl 1422.92077
Global stability and optimal control for a hepatitis B virus infection model with immune response and drug therapy. (English) Zbl 1419.37087
Dynamics of cytotoxic T-lymphocytes and helper cells in human immunodeficiency virus infection with Hill-type infection rate and sigmoidal CTL expansion. (English) Zbl 1375.92026
Optimal control for therapeutic drug treatment on a delayed model incorporating immune response. (English) Zbl 1344.92068
Mondaini, Rubem P. (ed.), BIOMAT 2015. Proceedings of the international symposium on mathematical and computational biology, Roorkee, Uttarakhand, India, November 2–6, 2015. Hackensack, NJ: World Scientific (ISBN 978-981-3141-90-2/hbk; 978-981-3141-92-6/ebook). 221-240 (2016).
Tractable model of malignant gliomas immunotherapy with discrete time delays. (English) Zbl 1409.92123
MSC:
92C50
Stability and bifurcation analysis of a mathematical model for tumor-immune interaction with piecewise constant arguments of delay. (English) Zbl 1354.92037
Viral dynamics model with CTL immune response incorporating antiretroviral therapy. (English) Zbl 1279.34059
CTL response suppression in chronic phase of infection: a mathematical study. (English) Zbl 1257.92030
On immunotherapies and cancer vaccination protocols: a mathematical modelling approach. (English) Zbl 1402.92244
MSC:
92C50
Modeling the interaction between avascular cancerous cells and acquired immune response. (English) Zbl 1155.92021
Killer cell dynamics. Mathematical and computational approaches to immunology. (English) Zbl 1125.92032
Interdisciplinary Applied Mathematics 32. New York, NY: Springer (ISBN 0-387-30893-8/hbk). xiii, 220 p. (2007).
Reviewer: Eva Sanchez (Madrid)
How fast can HIV escape from immune control? (English) Zbl 1269.92055
Tan, Wai-Yuan et al., Deterministic and stochastic models of AIDS epidemic and HIV infections with intervention. Hackensack, NJ: World Scientific (ISBN 981-256-139-0/hbk). 189-217 (2005).
A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters. (English) Zbl 1097.92031
Mathematical models of immune effector responses to viral infections: Virus control versus the development of pathology. (English) Zbl 1073.92022
MSC:
92C50
Mathematical modelling of the spatio-temporal response of cytotoxic \(T\)-lymphocytes to a solid tumour. (English) Zbl 1061.92038
Simple models for interactions of the HIV virus and the immune system: Can we point out to one specific threshold for the onset of AIDS? (English) Zbl 0843.92014
Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 3187-3199 (1996).
Toward quantifying the activation of helper \(T\) lymphocytes by antigen presenting cells. (English) Zbl 0798.92011
Goldstein, Byron (ed.) et al., Cell biology: 1992 symposium on some mathematical questions in biology, held November 15-19, 1992, Denver, CO, USA. Providence, RI: American Mathematical Society. Lect. Math. Life Sci. 24, 79-108 (1994).
A note on a stochastic model for the incubation of transfusion-associated AIDS. (English) Zbl 0739.92007
Clinical usefulness of multivariate autoregressive (AR) modelling as a tool for analyzing T-lymphocyte subset fluctuations. (English) Zbl 0727.92008
MSC:
92C50
Self-nonself discrimination due to immunological nonlinearities: the analysis of a series of models by numerical methods. (English) Zbl 0613.92008
Kinetics of cell-mediated cytotoxicity: Stochastic and deterministic multistage models. (English) Zbl 0571.92012
Reviewer: R.Repges
A mathematical model of the ”two signal” theory for T-B cells cooperation. (English) Zbl 0422.92005
Systems theory in immunology, Proc. Conf., Rome 1978, Lect. Notes Biomath. 32, 175-191 (1979).
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