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We consider a minimalistic dynamic model of the idiotypic network of B-lymphocytes. A network node represents a population of B-lymphocytes of the same specificity (idiotype), which is encoded by a bitstring. The links of the network…

细胞行为 · 定量生物学 2015-06-03 Holger Schmidtchen , Mario Thüne , Ulrich Behn

We investigate a model where idiotypes (characterizing B-lymphocytes and antibodies of an immune system) and anti-idiotypes are represented by complementary bitstrings of a given length d allowing for a number of mismatches (matching…

生物物理 · 物理学 2009-11-06 Markus Brede , Ulrich Behn

We consider self-tolerance and its failure -autoimmunity- in a minimal mathematical model of the idiotypic network. A node in the network represents a clone of B-lymphocytes and its antibodies of the same idiotype which is encoded by a…

细胞行为 · 定量生物学 2016-09-20 Stefan Landmann , Nicolas Preuss , Ulrich Behn

We consider the problem of self tolerance in the frame of a minimalistic model of the idiotypic network. A node of this network represents a population of B lymphocytes of the same idiotype which is encoded by a bit string. The links of the…

细胞行为 · 定量生物学 2013-08-30 Robert Schulz , Benjamin Werner , Ulrich Behn

We present a model for the evolution of networks of occupied sites on undirected regular graphs. At every iteration step in a parallel update I randomly chosen empty sites are occupied and occupied sites having degree outside of a given…

统计力学 · 物理学 2009-11-07 M. Brede , U. Behn

In this work we use belief-propagation techniques to study the equilibrium behaviour of a minimal model for the immune system comprising interacting T and B clones. We investigate the effect of the so-called idiotypic interactions among…

无序系统与神经网络 · 物理学 2016-08-24 Silvia Bartolucci , Alexander Mozeika , Alessia Annibale

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…

生物物理 · 物理学 2012-01-31 Hallan Souza-e-Silva , Rita Maria Zorzenon dos Santos

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…

概率论 · 数学 2016-02-12 Irene Balelli , Vuk Milisic , Gilles Wainrib

Bipartite graphs have received some attention in the study of social networks and of biological mutualistic systems. A generalization of a previous model is presented, that evolves the topology of the graph in order to optimally account for…

物理与社会 · 物理学 2009-11-13 Enrique Burgos , Horacio Ceva , Laura Hernandez , R. P. J. Perazzo , Mariano Devoto , Diego Medan

We introduce a new oriented evolving graph model inspired by biological networks. A node is added at each time step and is connected to the rest of the graph by random oriented edges emerging from older nodes. This leads to a statistical…

无序系统与神经网络 · 物理学 2023-04-10 Michel Bauer , Denis Bernard

We develop a modular mean field theory for a minimalistic model of the idiotypic network. The model comprises the random influx of new idiotypes and a deterministic selection. It describes the evolution of the idiotypic network towards…

细胞行为 · 定量生物学 2015-06-03 Holger Schmidtchen , Ulrich Behn

Understanding spreading dynamics will benefit society as a whole in better preventing and controlling diseases, as well as facilitating the socially responsible information while depressing destructive rumors. In network-based spreading…

物理与社会 · 物理学 2015-01-16 Ai-Xiang Cui , Zimo Yang , Tao Zhou

The Internet topology at the Autonomous Systems level (AS graph) has a power--law degree distribution and a tier structure. In this paper, we introduce the Interactive Growth (IG) model based on the joint growth of new nodes and new links.…

网络与互联网体系结构 · 计算机科学 2008-12-15 Shi Zhou , Raul J. Mondragon

We propose a new paradigm to design a network-based self-adaptive epidemic model that relies on the interplay between the network and its line graph. We implement this proposal on a Susceptible-Infected-Susceptible model in which both nodes…

适应与自组织系统 · 物理学 2024-03-05 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

We explore the relation between the topological relevance of a node in a complex network and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the coupling strength against the dynamical complexity of the…

混沌动力学 · 物理学 2019-01-16 A. Tlaie , I. Leyva , R. Sevilla-Escoboza , V. P. Vera-Avila , I. Sendiña-Nadal

Nestedness is a property of bipartite complex networks that has been shown to characterize the peculiar structure of biological and economical networks. In a nested network, a node of low degree has its neighborhood included in the…

网络与互联网体系结构 · 计算机科学 2023-12-18 Justin Loye , Sandrine Mouysset , Katia Jaffrès-Runser

We use mathematical methods from the theory of tailored random graphs to study systematically the effects of sampling on topological features of large biological signalling networks. Our aim in doing so is to increase our quantitative…

定量方法 · 定量生物学 2011-06-02 A. Annibale , A. C. C. Coolen

The immune system protects the body against health-threatening entities, known as antigens, through very complex interactions involving the antigens and the system's own entities. One remarkable feature resulting from such interactions is…

细胞行为 · 定量生物学 2007-05-23 L. E. Flores , E. J. Aguilar , V. C. Barbosa , L. A. V. de Carvalho

We are interested in modeling theoretical immunology within a statistical mechanics flavor: focusing on the antigen-independent maturation process of B-cells, in this paper we try to revise the problem of self vs non-self discrimination by…

细胞行为 · 定量生物学 2010-12-10 Adriano Barra , Silvio Franz , Thiago Sabetta

We demonstrate how sophisticated graph properties, such as small distances and scale-free degree distributions, arise naturally from a reinforcement mechanism on layered graphs. Every node is assigned an a-priori i.i.d. fitness with…

概率论 · 数学 2020-06-02 Markus Heydenreich , Christian Hirsch
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