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Reaction-Diffusion Modelling of Interferon Distribution in Secondary Lymphoid Organs

G. BocharovA. DanilovYu. VassilevskiG.I. MarchukV.A. ChereshnevB. Ludewig — 2011

Mathematical Modelling of Natural Phenomena

This paper proposes a quantitative model of the reaction-diffusion type to examine the distribution of interferon- (IFN) in a lymph node (LN). The numerical treatment of the model is based on using an original unstructured mesh generation software Ani3D and nonlinear finite volume method for diffusion equations. The study results in suggestion that due to the variations in hydraulic conductivity of various zones of the secondary lymphoid organs the...

Human Immunodeficiency Virus Infection : from Biological Observations to Mechanistic Mathematical Modelling

G. BocharovV. ChereshnevI. GainovaS. BazhanB. BachmetyevJ. ArgilaguetJ. MartinezA. Meyerhans — 2012

Mathematical Modelling of Natural Phenomena

HIV infection is multi-faceted and a multi-step process. The virus-induced pathogenic mechanisms are manifold and mediated through a range of positive and negative feedback regulations of immune and physiological processes engaged in virus-host interactions. The fundamental questions towards understanding the pathogenesis of HIV infection are now shifting to ‘dynamic’ categories: (i) why is the HIV-immune response equilibrium finally disrupted? (ii)...

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