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Within the germinal center in follicles, B-cells proliferate, mutate and differentiate, while being submitted to a powerful selection~: a micro-evolutionary mechanism at the heart of adaptive immunity. A new foreign pathogen is confronted…

Probability · Mathematics 2016-02-12 Irene Balelli , Vuk Milisic , Gilles Wainrib

We describe a simple adaptive network of coupled chaotic maps. The network reaches a stationary state (frozen topology) for all values of the coupling parameter, although the dynamics of the maps at the nodes of the network can be…

Adaptation and Self-Organizing Systems · Physics 2015-06-19 V. Botella-Soler , P. Glendinning

We introduce an evolving network model in which a new node attaches to a randomly selected target node and also to each of its neighbors with probability $p$. The resulting network is sparse for $p<\frac{1}{2}$ and dense (average degree…

Physics and Society · Physics 2016-11-23 R. Lambiotte , P. L. Krapivsky , U. Bhat , S. Redner

Understanding and modelling the complexity of the immune system is a challenge that is shared by the ImmunoComplexiT$^1$ thematic network from the RNSC. The immune system is a complex biological, adaptive, highly diversified, self-organized…

Quantitative Methods · Quantitative Biology 2020-08-27 Véronique Thomas-Vaslin

Large sets of genotypes give rise to the same phenotype because phenotypic expression is highly redundant. Accordingly, a population can accept mutations without altering its phenotype, as long as thegenotype mutates into another one on the…

Populations and Evolution · Quantitative Biology 2015-02-18 Susanna Manrubia , José A. Cuesta

We numerically study a dynamical system model of an idiotypic immune network with a small number of degrees of freedom. The model was originally introduced by Varela et.al., and describes antibodies interacting in a body in order to prepare…

Chaotic Dynamics · Physics 2009-10-31 Satoko Itaya , Tatsuya Uezu

We describe the dynamics of a simple adaptive network. The network architecture evolves to a number of disconnected components on which the dynamics is characterized by the possibility of differently synchronized nodes within the same…

Adaptation and Self-Organizing Systems · Physics 2015-05-28 V. Botella-Soler , P. Glendinning

We study the Langevin dynamics of the adaptive immune system, modelled by a lymphocyte network in which the B cells are interacting with the T cells and antigen. We assume that B clones and T clones are evolving in different thermal noise…

Disordered Systems and Neural Networks · Physics 2017-01-04 Alexander Mozeika , Anthony CC Coolen

We present a network model in which words over a specific alphabet, called {\it structures}, are associated to each node and undirected edges are added depending on some distance between different structures. It is shown that this model can…

Social and Information Networks · Computer Science 2015-05-20 P. Frisco

In this paper, after a telegraphic introduction to modern immunology, we present a simple model for the idiotypic network among antibodies and we study its relevance for the maintenance of immunological memory. We also consider the problem…

Condensed Matter · Physics 2008-02-03 Giorgio Parisi

This work illustrates potentials for recognition within {\em ad hoc} sensor networks if their nodes possess individual inter-related biologically inspired genetic codes. The work takes ideas from natural immune systems protecting organisms…

Cryptography and Security · Computer Science 2009-12-31 Reinert Korsnes , Knut Ovsthus

This paper (parts I and II) provides an expository introduction to monotone and near-monotone dynamical systems associated to biochemical networks, those whose graphs are consistent or near-consistent. Many conclusions can be drawn from…

Molecular Networks · Quantitative Biology 2007-05-23 Eduardo D. Sontag

We derive asymptotic properties for a stochastic dynamic network model in a stochastic dynamic population. In the model, nodes give birth to new nodes until they die, each node being equipped with a social index given at birth. During the…

Probability · Mathematics 2019-07-10 Tom Britton , Mathias Lindholm , Tatyana Turova

This paper (parts I and II) provides an expository introduction to monotone and near-monotone dynamical systems associated to biochemical networks, those whose graphs are consistent or near-consistent. Many conclusions can be drawn from…

Molecular Networks · Quantitative Biology 2007-05-23 Eduardo D. Sontag

A quasispecies is the stationary state of a set of interrelated genotypes that evolve according to the usual principles of selection and mutation. Quasispecies studies have invariably concentrated on the possibility of errors during…

Populations and Evolution · Quantitative Biology 2015-01-20 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

Some years ago a cellular automata model was proposed to describe the evolution of the immune repertoire of B cells and antibodies based on Jerne's immune network theory and shape-space formalism. Here we investigate if the networks…

Biological Physics · Physics 2012-01-31 Hallan Souza-e-Silva , Rita Maria Zorzenon dos Santos

In general, the behavior of large and complex aggregates of elementary components can not be understood nor extrapolated from the properties of a few components. The brain is a good example of this type of networked systems where some…

Chaotic Dynamics · Physics 2012-08-02 Ricardo Lopez-Ruiz , Daniele Fournier-Prunaret

A large number of complex systems, naturally emerging in various domains, are well described by directed networks, resulting in numerous interesting features that are absent from their undirected counterparts. Among these properties is a…

Physics and Society · Physics 2021-05-19 Joseph D. O'Brien , Kleber A. Oliveira , James P. Gleeson , Malbor Asllani

Biological systems rely on robust internal information processing: Survival depends on highly reproducible dynamics of regulatory processes. Biological information processing elements, however, are intrinsically noisy (genetic switches,…

Molecular Networks · Quantitative Biology 2009-11-10 Konstantin Klemm , Stefan Bornholdt

We study metanetworks arising in genotype and phenotype spaces, in the context of a model population of Boolean graphs evolved under selection for short dynamical attractors. We define the adjacency matrix of a graph as its genotype, which…

Biological Physics · Physics 2016-09-06 Burçin Danacı , Ayşe Erzan