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Immune system is the most important defense system to resist human pathogens. In this paper we present an immune model with bipartite graphs theory. We collect data through COPE database and construct an immune cell- mediators network. The…

Adaptation and Self-Organizing Systems · Physics 2007-12-06 Sheng-Rong Zou , Yu-Jing Peng , Zhong-Wei Guo , Ta Zhou , Chang-gui Gu , Da-Ren He

The degree distribution of many biological and technological networks has been described as a power-law distribution. While the degree distribution does not capture all aspects of a network, it has often been suggested that its functional…

Molecular Networks · Quantitative Biology 2007-05-23 Michael P. H. Stumpf , Piers J. Ingram

In this paper, we present the empirical investigation results on the neuroendocrine system by bipartite graphs. This neuroendocrine network model can describe the structural characteristic of neuroendocrine system. The act degree…

Adaptation and Self-Organizing Systems · Physics 2007-12-04 Sheng-Rong Zou , Zhong-Wei Guo , Yu-Jing Peng , Ta Zhou , Chang-Gui Gu , Da-Ren He

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

This paper deals with a new model for clonal network dynamics. We describe in detail this model and derive special equations governing immune system dynamics based on the general gradient type principles that can be inherent to a wide class…

Quantitative Methods · Quantitative Biology 2007-05-23 V. V. Gafiychuk , A. K. Prykarpatsky

We propose a network model with a fixed number of nodes and links with a dynamics which favors links between nodes differing in connectivity. Parameter regimes where the degree distributions follow power-laws, P(k) ~ k^-gamma, high…

Physics and Society · Physics 2007-05-23 Henning Frydenlund Hansen , Alex Hansen

Cellular function is widely believed to be organized in a modular fashion. On all scales and at all levels of complexity, relatively independent sub-units perform relatively independent sub-tasks of biological function. This functional…

Molecular Networks · Quantitative Biology 2010-12-22 Stefan Pinkert , Joerg Schultz , Joerg Reichardt

In this paper, we propose a general model for collaboration networks. Depending on a single free parameter "{\bf preferential exponent}", this model interpolates between networks with a scale-free and an exponential degree distribution. The…

Statistical Mechanics · Physics 2009-11-11 Tao Zhou , Ying-di Jin , Bing-Hong Wang , Da-Ren He , Pei-Pei Zhang , Yue He , Bei-Bei Su , Kan Chen , Zhong-Zhi Zhang

A major issue in biology is the understanding of the interactions between proteins. These interactions can be described by a network, where the proteins are modeled by nodes and the interactions by edges. The origin of these protein…

Biological Physics · Physics 2011-08-01 Christian M. Schneider , Lucilla de Arcangelis , Hans J. Herrmann

Protein-Protein Interaction Networks aim to model the interactome, providing a powerful tool for understanding the complex relationships governing cellular processes. These networks have numerous applications, including functional…

Molecular Networks · Quantitative Biology 2023-10-05 Rodrigo Henrique Ramos , Cynthia de Oliveira Lage Ferreira , Adenilso Simao

Subgraphs are very important for understanding structure and function of complex networks. Dyad and triad are the elementary subgraphs. We focus on the distribution of their act degree defined as the number of activities, events or…

Physics and Society · Physics 2011-09-06 A. -X. Feng , C. -H. Fu , X. -L. Xu , Ai-Fen Liu , H. Chang , D. -R. He , G. -L. Feng

We consider the mutual interactions, via cytokine exchanges, among helper lymphocytes, B lymphocytes and killer lymphocytes, and we model them as a unique system by means of a tripartite network. Each part includes all the different clones…

Biological Physics · Physics 2015-03-19 Elena Agliari , Adriano Barra , Francesco Guerra , Francesco Moauro

Associative network models featuring multi-tasking properties have been introduced recently and studied in the low load regime, where the number $P$ of simultaneously retrievable patterns scales with the number $N$ of nodes as $P\sim \log…

Disordered Systems and Neural Networks · Physics 2013-03-01 Elena Agliari , Alessia Annibale , Adriano Barra , A. C. C. Coolen , Daniele Tantari

A study of the dynamical formation of networks of friends and enemies in social media, in this case Twitter, is presented. We characterise the single node properties of such networks, as the clustering coefficient and the degree, to…

Proteins are an important class of biomolecules that serve as essential building blocks of the cells. Their three-dimensional structures are responsible for their functions. In this thesis we have investigated the protein structures using a…

Molecular Networks · Quantitative Biology 2007-11-19 Ganesh Bagler

We show that the protein-protein interaction networks can be surprisingly well described by a very simple evolution model of duplication and divergence. The model exhibits a remarkably rich behavior depending on a single parameter, the…

Molecular Networks · Quantitative Biology 2009-11-10 I. Ispolatov , P. L. Krapivsky , A. Yuryev

Biological networks provide insight into the complex organization of biological processes in a cell at the system level. They are an effective tool for understanding the comprehensive map of functional interactions, finding the functional…

Molecular Networks · Quantitative Biology 2017-09-14 Somaye Hashemifar

Immune cells coordinate their efforts for the correct and efficient functioning of the immune system (IS). Each cell type plays a distinct role and communicates with other cell types through mediators such as cytokines, chemokines and…

Molecular Networks · Quantitative Biology 2007-05-23 Paolo Tieri , Silvana Valensin , Vito Latora , Gastone C. Castellani , Massimo Marchiori , Daniel Remondini , Claudio Franceschi

The properties of certain networks are determined by hidden variables that are not explicitly measured. The conditional probability (propagator) that a vertex with a given value of the hidden variable is connected to k of other vertices…

Quantitative Methods · Quantitative Biology 2009-11-13 Gerald A. Miller , Yi Y. Shi , Hong Qian , Karol Bomsztyk

During the last decade, network approaches became a powerful tool to describe protein structure and dynamics. Here we review the links between disordered proteins and the associated networks, and describe the consequences of local,…

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