Bifurcation analysis of the Nowak–Bangham model in CTL dynamics
C Egami - Mathematical biosciences, 2009 - Elsevier
… This paper investigates the local bifurcations of a CTL response model published by Nowak
and Bangham [MA Nowak, CRM Bangham, Population dynamics of immune responses to …
and Bangham [MA Nowak, CRM Bangham, Population dynamics of immune responses to …
A model of virus infection with immune responses supports boosting CTL response to balance antibody response
T Meadows, EJ Schwartz - … and Mathematical Population Dynamics, 2023 - World Scientific
… We analyze a within-host model of virus infection with antibody and CD8 + cytotoxic T … an
antibody response, A1 > 0, but no CTL response, C1 = 0. We may treat the CTL response as an …
antibody response, A1 > 0, but no CTL response, C1 = 0. We may treat the CTL response as an …
Fitness costs and diversity of the cytotoxic T lymphocyte (CTL) response determine the rate of CTL escape during acute and chronic phases of HIV infection
… dynamics of CTL responses, we conclude that the low rate of escape of the virus from the CTL
response … We also analyze models for viral escape when the death rate of infected cells is …
response … We also analyze models for viral escape when the death rate of infected cells is …
[PDF][PDF] A reaction diffusion system modeling virus dynamics and CTLs response with chemotaxis
… CTLs on HIV-1 infection dynamics by a reaction diffusion system with chemotaxis. Choosing
a typical chemosensitive function, we find that chemoattractive movement of CTLs … analysis …
a typical chemosensitive function, we find that chemoattractive movement of CTLs … analysis …
[HTML][HTML] Dynamic changes during the immune response in T cell–antigen-presenting cell clusters isolated from lymph nodes
M Hommel, B Kyewski - The Journal of experimental medicine, 2003 - ncbi.nlm.nih.gov
… To further document the role of these clusters in the antigen-specific T cell response we
analyzed whether or not antigen-specific T cells preferentially segregate into such clusters and …
analyzed whether or not antigen-specific T cells preferentially segregate into such clusters and …
Dynamic analysis of HIV infection model with CTL immune response and cell-to-cell transmission
M Tan, G Lan, C Wei - Applied Mathematics Letters, 2024 - Elsevier
… chain to investigate CTL immune response and two modes of … In addition, we compare the
dynamics of the deterministic … the dynamics of the deterministic model, whereas the dynamics …
dynamics of the deterministic … the dynamics of the deterministic model, whereas the dynamics …
Immune response in HIV epidemics for distinct transmission rates and for saturated CTL response
ARM Carvalho, CMA Pinto - Mathematical Modelling of Natural …, 2019 - mmnp-journal.org
… In this paper, we study the immune response in a fractional order model for HIV dynamics, …
cytotoxic T-lymphocyte (CTL) response. Our goal is twofold: (i) to analyze the role of the order …
cytotoxic T-lymphocyte (CTL) response. Our goal is twofold: (i) to analyze the role of the order …
Underwhelming the Immune Response: Effect of Slow Virus Growth on CD8+-T-Lymphocyte Responses
… We used recent data relating HBV and CTL dynamics in acute hepatitis infection (… CTL
expansion, we conducted mathematical analyses based on the model simulating CTL responses …
expansion, we conducted mathematical analyses based on the model simulating CTL responses …
Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection
… the dynamic interactions between the CTL immune response and HTLV-I infection are very
complex, and that multi-stability in CTL response dynamics … rigorous bifurcation analysis and …
complex, and that multi-stability in CTL response dynamics … rigorous bifurcation analysis and …
Dynamics of stochastic HTLV‐I infection model with nonlinear CTL immune response
D Kuang, Q Yin, J Li - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
… the dynamics of stochastic human T-cell leukemia virus type I (HTLV-I) infection model with
cytotoxic T lymphocyte (CTL) immune response is … analysis with some numerical simulations. …
cytotoxic T lymphocyte (CTL) immune response is … analysis with some numerical simulations. …