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Networks play a prominent role in the study of complex systems of interacting entities in biology, sociology, and economics. Despite this diversity, we demonstrate here that a statistical model decomposing networks into matching and…

Physics and Society · Physics 2016-02-05 Rudolf P. Rohr , Russel E. Naisbit , Christian Mazza , Louix-Félix Bersier

The evolution of the adaptive immune system is characterized by changes in the relative abundances of the B- and T-cell clones that make up its repertoires. To fully capture this evolution, we need to describe the complex dynamics of the…

Populations and Evolution · Quantitative Biology 2017-03-02 Jonathan Desponds , Andreas Mayer , Thierry Mora , Aleksandra M. Walczak

We propose a statistical model of a large random network with high connectivity in order to describe the behavior of {\it E.\,coli} cells after exposure to acute stress. The building blocks of this network are feedback cycles typical of the…

Disordered Systems and Neural Networks · Physics 2022-02-22 S. Reich , S. Maoz , Y. Kaplan , H. Rappeport , N. Q. Balaban , O. Agam

A model of bit-strings, that uses the technique of multi-spin coding, was previously used to study the time evolution of B-cell clone repertoire, in a paper by Lagreca, Almeida and Santos. In this work we extend that simplified model to…

Populations and Evolution · Quantitative Biology 2017-07-31 Alexandre de Castro

Topological data analysis (TDA) approaches are becoming increasingly popular for studying the dependence patterns in multivariate time series data. In particular, various dependence patterns in brain networks may be linked to specific tasks…

Methodology · Statistics 2025-12-08 Anass El Yaagoubi Bourakna , Moo K. Chung , Hernando Ombao

The analysis of biological networks is characterized by the definition of precise linear constraints used to cumulatively reduce the solution space of the computed states of a multi-omic (for instance metabolic, transcriptomic and…

Molecular Networks · Quantitative Biology 2018-10-15 Vandan Parmar , Pietro Lio

This paper deals with the balanced truncation model reduction of discrete-time, linear time-varying, heterogeneous subsystems interconnected over finite arbitrary directed graphs. The information transfer between the subsystems is subject…

Optimization and Control · Mathematics 2017-08-15 Dany Abou Jaoude , Mazen Farhood

In previous work, we developed the scaled SIS process, which models the dynamics of SIS epidemics over networks. With the scaled SIS process, we can consider networks that are finite-sized and of arbitrary topology (i.e., we are not…

Social and Information Networks · Computer Science 2014-10-10 June Zhang , José M. F. Moura

Biological information processing networks consist of many components, which are coupled by an even larger number of complex multivariate interactions. However, analyses of data sets from fields as diverse as neuroscience, molecular…

Quantitative Methods · Quantitative Biology 2016-03-23 Lina Merchan , Ilya Nemenman

Time-discrete dynamical systems on a finite state space have been used with great success to model natural and engineered systems such as biological networks, social networks, and engineered control systems. They have the advantage of being…

Combinatorics · Mathematics 2015-03-17 Alan Veliz-Cuba , Reinhard Laubenbacher

The symmetrical network theory is a framework for understanding the immune system, that dates back to the mid 1970s. The symmetrical network theory is based on symmetrical stimulatory, inhibitory and killing interactions between clones that…

Populations and Evolution · Quantitative Biology 2008-12-31 Geoffrey W. Hoffmann

Intercellular exchange networks are essential for the adaptive capabilities of populations of cells. While diffusional exchanges have traditionally been difficult to map, recent advances in nanotechnology enable precise probing of exchange…

Statistical Mechanics · Physics 2024-12-13 Luís C. F. Latoski , Andrea De Martino , Daniele De Martino

In the last decades, the interest to understand the connection between brain and body has grown notably. For example, in psychoneuroimmunology many studies associate stress, arising from many different sources and situations, to changes in…

Quantitative Methods · Quantitative Biology 2022-07-27 Maria Elena Gonzalez Herrero , Christian Kuehn

Antibodies play an essential role in the immune response to viral infections, vaccination, or antibody therapy. Nevertheless, they can be either protective or harmful during the immune response. Moreover, competition or cooperation between…

Quantitative Methods · Quantitative Biology 2024-10-21 Charlotte Dugourd-Camus , Claudia P. Ferreira , Mostafa Adimy

Disease awareness in infection dynamics can be modeled with adaptive contact networks whose rewiring rules reflect the attempt by susceptibles to avoid infectious contacts. Simulations of this type of models show an active phase with…

Adaptation and Self-Organizing Systems · Physics 2012-12-06 Stefan Wieland , Tomas Aquino , Ana Nunes

This paper studies a networked bivirus model, in which two competing viruses spread across a network of interconnected populations; each node represents a population with a large number of individuals. The viruses may spread through…

Dynamical Systems · Mathematics 2024-10-24 Mengbin Ye , Brian D. O. Anderson , Ji Liu

Our main purpose is to compare classical nonself-centered, two-signal theoretical models of the adaptive immune system with a novel, self-centered, one-signal model developed by our research group. Our model hypothesizes that the immune…

Molecular Networks · Quantitative Biology 2020-12-02 Tamás Szabados , Csaba Kerepesi , Tibor Bakács

The study of cellular signalling pathways and their deregulation in disease states, such as cancer, is a large and extremely complex task. Indeed, these systems involve many parts and processes but are studied piecewise and their…

Artificial Intelligence · Computer Science 2016-08-22 Adrien Basso-Blandin , Walter Fontana , Russ Harmer

Human diseases spread over networks of contacts between individuals and a substantial body of recent research has focused on the dynamics of the spreading process. Here we examine a model of two competing diseases spreading over the same…

Physics and Society · Physics 2015-03-19 Brian Karrer , M. E. J. Newman

Adoptive Cell Transfer therapy of cancer is currently in full development and mathematical modeling is playing a critical role in this area. We study a stochastic model developed by Baar et al. in 2015 for modeling immunotherapy against…

Populations and Evolution · Quantitative Biology 2020-03-09 Modibo Diabate , Loren Coquille , Adeline Samson
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