Displaying similar documents to “Global Existence and Boundedness of Solutions to a Model of Chemotaxis”

On determining unknown functions in differential systems, with an application to biological reactors.

Éric Busvelle, Jean-Paul Gauthier (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper, we consider general nonlinear systems with observations, containing a (single) unknown function . We study the possibility to learn about this unknown function the observations: if it is possible to determine the [values of the] unknown function from any experiment [on the set of states visited during the experiment], and for any arbitrary input function, on any time interval, we say that the system is “identifiable”. For systems without controls, we give a more or...

Reaction-Diffusion Modelling of Interferon Distribution in Secondary Lymphoid Organs

G. Bocharov, A. Danilov, Yu. Vassilevski, G.I. Marchuk, V.A. Chereshnev, B. Ludewig (2011)

Mathematical Modelling of Natural Phenomena

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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...