# 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

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topBocharov, 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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