Reaction-Diffusion Modelling of Interferon Distribution in Secondary Lymphoid Organs

G. Bocharov; A. Danilov; Yu. Vassilevski; G.I. Marchuk; V.A. Chereshnev; B. Ludewig

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 7, page 13-26
  • ISSN: 0973-5348

Abstract

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This paper proposes a quantitative model of the reaction-diffusion type to examine the distribution of interferon-α (IFNα) 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 spatial stationary distribution of IFNα is essentially heterogeneous across the organs. Highly protected domains such as sinuses, conduits, co-exist with the regions in which where the stationary concentration of IFNα is lower by about 100-fold. This is the first study where the spatial distribution of soluble immune factors in secondary lymphoid organs is modelled for a realistic three-dimensional geometry.

How to cite

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Bocharov, G., et al. "Reaction-Diffusion Modelling of Interferon Distribution in Secondary Lymphoid Organs." Mathematical Modelling of Natural Phenomena 6.7 (2011): 13-26. <http://eudml.org/doc/222379>.

@article{Bocharov2011,
abstract = {This paper proposes a quantitative model of the reaction-diffusion type to examine the distribution of interferon-α (IFNα) 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 spatial stationary distribution of IFNα is essentially heterogeneous across the organs. Highly protected domains such as sinuses, conduits, co-exist with the regions in which where the stationary concentration of IFNα is lower by about 100-fold. This is the first study where the spatial distribution of soluble immune factors in secondary lymphoid organs is modelled for a realistic three-dimensional geometry. },
author = {Bocharov, G., Danilov, A., Vassilevski, Yu., Marchuk, G.I., Chereshnev, V.A., Ludewig, B.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {mathematical model; immune response; reaction-diffusion equation; 3D distribution of interferon-α},
language = {eng},
month = {6},
number = {7},
pages = {13-26},
publisher = {EDP Sciences},
title = {Reaction-Diffusion Modelling of Interferon Distribution in Secondary Lymphoid Organs},
url = {http://eudml.org/doc/222379},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Bocharov, G.
AU - Danilov, A.
AU - Vassilevski, Yu.
AU - Marchuk, G.I.
AU - Chereshnev, V.A.
AU - Ludewig, B.
TI - Reaction-Diffusion Modelling of Interferon Distribution in Secondary Lymphoid Organs
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/6//
PB - EDP Sciences
VL - 6
IS - 7
SP - 13
EP - 26
AB - This paper proposes a quantitative model of the reaction-diffusion type to examine the distribution of interferon-α (IFNα) 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 spatial stationary distribution of IFNα is essentially heterogeneous across the organs. Highly protected domains such as sinuses, conduits, co-exist with the regions in which where the stationary concentration of IFNα is lower by about 100-fold. This is the first study where the spatial distribution of soluble immune factors in secondary lymphoid organs is modelled for a realistic three-dimensional geometry.
LA - eng
KW - mathematical model; immune response; reaction-diffusion equation; 3D distribution of interferon-α
UR - http://eudml.org/doc/222379
ER -

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