Mathematical model of the primary CD8 T cell immune response: stability analysis of a nonlinear age-structured system

DOI10.1007/s00285-011-0459-8zbMath1268.34173OpenAlexW2153992324WikidataQ45237943 ScholiaQ45237943MaRDI QIDQ455744

Emmanuelle Terry, Jacqueline Marvel, Christophe Arpin, Olivier Gandrillon, Fabien Crauste

Publication date: 22 October 2012

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-011-0459-8

zbMATH Keywords

delay equations ODE immune response CD8 T cell

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Stability theory of functional-differential equations (34K20) Control problems for functional-differential equations (34K35) Cell biology (92C37) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Stationary solutions of functional-differential equations (34K21)

Related Items (5)

Predicting pathogen-specific CD8 T cell immune responses from a modeling approach ⋮ Error analysis of finite difference/collocation method for the nonlinear coupled parabolic free boundary problem modeling plaque growth in the artery ⋮ A multiscale model of the CD8 T cell immune response structured by intracellular content ⋮ Dependence of CD8 T cell response upon antigen load during primary infection. ⋮ Spatially resolved modelling of immune responses following a multiscale approach: from computational implementation to quantitative predictions

Cites Work

This page was built for publication: Mathematical model of the primary CD8 T cell immune response: stability analysis of a nonlinear age-structured system