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The immune response to a pathogen has two basic features. The first is the expansion of a few pathogen-specific cells to form a population large enough to control the pathogen. The second is the process of differentiation of cells from an…

Populations and Evolution · Quantitative Biology 2014-02-04 Sean P Stromberg , Rustom Antia , Ilya Nemenman

We consider the problem of designing synthetic cells to achieve a complex goal (e.g., mimicking the immune system by seeking invaders) in a complex environment (e.g., the circulatory system), where they might have to change their control…

Robotics · Computer Science 2020-03-10 Ana Pervan , Todd Murphey

This study presents an integrated approach to understanding epidemic dynamics through a stochastic spatio-temporal simulation model on a multiplex network, blending physical and informational layers. The physical layer maps the geographic…

Physics and Society · Physics 2025-09-26 H. M. Shadman Tabib , Jaber Ahmed Deedar , K. M. Ariful Kabir

Adaptive networks have been recently introduced in the context of disease propagation on complex networks. They account for the mutual interaction between the network topology and the states of the nodes. Until now, existing models have…

Statistical Mechanics · Physics 2010-09-28 Vincent Marceau , Pierre-André Noël , Laurent Hébert-Dufresne , Antoine Allard , Louis J. Dubé

With the advent of novel cancer treatment options such as immunotherapy, studying the tumour immune micro-environment (TIME) is crucial to inform on prognosis and understand potential response to therapeutic agents. A key approach to…

Quantitative Methods · Quantitative Biology 2025-03-03 Mikaël Simard , Zhuoyan Shen , Konstantin Bräutigam , Rasha Abu-Eid , Maria A. Hawkins , Charles-Antoine Collins-Fekete

This paper provides synchronization conditions for networks of nonlinear systems. The components of the network (referred to as "compartments'' in this paper) are made up of an identical interconnection of subsystems, each represented as an…

Optimization and Control · Mathematics 2009-03-12 L. Scardovi , M. Arcak , E. D. Sontag

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

We analyze the interactions between division, mutation and selection in a simplified evolutionary model, assuming that the population observed can be classified into fitness levels. The construction of our mathematical framework is…

Probability · Mathematics 2018-01-04 Irene Balelli , Vuk Milišić , Gilles Wainrib

Selective control in a population is the ability to control a member of the population while leaving the other members relatively unaffected. The concept of selective control is developed using cell death or apoptosis in heterogeneous cell…

Quantitative Methods · Quantitative Biology 2014-07-29 Diego Calzolari , Giovanni Paternostro , Patrick L. Harrington , Carlo Piermarocchi , Phillip M. Duxbury

Understanding cascading failures or epidemics in networks is crucial for developing effective defensive mechanisms for many critical systems and infrastructures (e.g. biological, social and cyber networks). Most of the existing works treat…

Computer Science and Game Theory · Computer Science 2016-07-20 Jie Xu

To recognize pathogens, B and T lymphocytes are endowed with a wide repertoire of receptors generated stochastically by V(D)J recombination. Measuring and estimating the diversity of these receptors is of great importance for understanding…

Populations and Evolution · Quantitative Biology 2020-11-20 Thierry Mora , Aleksandra Walczak

The long-time dynamics of somatic adaptability in immune system is simulated by a simple physical model. The immune system described by the model exhibits a scale free behavior as is observed in living systems. The balance between the…

Biological Physics · Physics 2009-12-22 Shiro Saito , Osamu Narikiyo

An adaptive agent predicting the future state of an environment must weigh trust in new observations against prior experiences. In this light, we propose a view of the adaptive immune system as a dynamic Bayesian machinery that updates its…

Populations and Evolution · Quantitative Biology 2019-05-14 Andreas Mayer , Vijay Balasubramanian , Aleksandra M. Walczak , Thierry Mora

Mechanisms of immunity, and of the host-pathogen interactions in general are among the most fundamental problems of medicine, ecology, and evolution studies. Here, we present a microscopic, protein-level, sequence-based model of immune…

Biomolecules · Quantitative Biology 2007-11-22 Muyoung Heo , Konstantin B. Zeldovich , Eugene I. Shakhnovich

Biological systems, unlike physical or chemical systems, are characterized by the very inhomogeneous distribution of their components. The immune system, in particular, is notable for self-organizing its structure. Classically, the dynamics…

Statistical Mechanics · Physics 2007-05-23 Yoram Louzoun , Sorin Solomon , Henri Atlan , Irun R. Cohen

Organisms have evolved immune systems that can counter pathogenic threats. The adaptive immune system in vertebrates consists of a diverse repertoire of immune receptors that can dynamically reorganize to specifically target the…

Populations and Evolution · Quantitative Biology 2024-10-29 Quinn N Bellamy , Zachary Montague , Luca Peliti , Armita Nourmohammad

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

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

The adaptive immune system is a natural diagnostic and therapeutic. It recognizes threats earlier than clinical symptoms manifest and neutralizes antigen with exquisite specificity. Recognition specificity and broad reactivity is enabled…

Quantitative Methods · Quantitative Biology 2019-07-26 Alex J. Brown , Igor Snapkov , Rahmad Akbar , Milena Pavlović , Enkelejda Miho , Geir K. Sandve , Victor Greiff

Self-adaptive dynamics occurs in many physical systems such as socio-economics, neuroscience, or biophysics. We formalize a self-adaptive modeling approach, where adaptation takes place within a set of strategies based on the history of the…

Adaptation and Self-Organizing Systems · Physics 2022-04-01 Konstantin Clauß , Christian Kuehn
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