In this work we introduce and analyze the stochastic dynamics obeyed by a model of an immune network recently introduced by the authors. We develop Fokker-Planck equations for the single lymphocyte behavior and coarse grained Langevin schemes for the averaged clone behavior. After showing agreement with real systems (as a short path Jerne cascade), we suggest, both with analytical and numerical arguments, explanations for the generation of (metastable) memory cells, improvement of the secondary response (both in the quality and quantity) and bell shaped modulation against infections as a natural behavior. The whole emerges from the model without being postulated a-priori as it often occurs in second generation immune networks: so the aim of the work is to present some out-of-equilibrium features of this model and to highlight mechanisms which can replace a-priori assumptions in view of further detailed analysis in theoretical systemic immunology. (c) 2010 Elsevier B.V. All rights reserved.

Stochastic dynamics for idiotypic immune networks / Barra, Adriano; Agliari, Elena. - In: PHYSICA. A. - ISSN 0378-4371. - 389:24(2010), pp. 5903-5911. [10.1016/j.physa.2010.09.004]

Stochastic dynamics for idiotypic immune networks

BARRA, ADRIANO;AGLIARI, ELENA
2010

Abstract

In this work we introduce and analyze the stochastic dynamics obeyed by a model of an immune network recently introduced by the authors. We develop Fokker-Planck equations for the single lymphocyte behavior and coarse grained Langevin schemes for the averaged clone behavior. After showing agreement with real systems (as a short path Jerne cascade), we suggest, both with analytical and numerical arguments, explanations for the generation of (metastable) memory cells, improvement of the secondary response (both in the quality and quantity) and bell shaped modulation against infections as a natural behavior. The whole emerges from the model without being postulated a-priori as it often occurs in second generation immune networks: so the aim of the work is to present some out-of-equilibrium features of this model and to highlight mechanisms which can replace a-priori assumptions in view of further detailed analysis in theoretical systemic immunology. (c) 2010 Elsevier B.V. All rights reserved.
2010
theoretical immunology; spin glasses; random networks
01 Pubblicazione su rivista::01a Articolo in rivista
Stochastic dynamics for idiotypic immune networks / Barra, Adriano; Agliari, Elena. - In: PHYSICA. A. - ISSN 0378-4371. - 389:24(2010), pp. 5903-5911. [10.1016/j.physa.2010.09.004]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/442666
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