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Control of complex processes is a major goal of network analyses. Most approaches to control nonlinearly coupled systems require the network topology and/or network dynamics. Unfortunately, neither the full set of participating nodes nor…

Molecular Networks · Quantitative Biology 2014-12-23 Jason Shulman , Frank Malatino , Alexander Mo , Killian Ryan , Gemunu H. Gunaratne

The host immune response can often efficiently suppress a virus infection, which may lead to selection for immune-resistant viral variants within the host. For example, during HIV infection, an array of CTL immune response populations…

Populations and Evolution · Quantitative Biology 2018-02-23 Cameron J. Browne , Hal L. Smith

We present a spatial hybrid discrete-continuum modelling framework for the interaction dynamics between tumour cells and cytotoxic T cells, which play a pivotal role in the immune response against tumours. In this framework, tumour cells…

Analysis of PDEs · Mathematics 2022-10-10 Luis Almeida , Chloe Audebert , Emma Leschiera , Tommaso Lorenzi

Stem cell transplants may be considered as dynamical systems to allow sequence differences across the exomes of the transplant donors and recipients to be used to simulate an alloreactive T cell response. Whole exome sequencing was…

Existing approaches to modelling antibody concentration data are mostly based on finite mixture models that rely on the assumption that individuals can be divided into two distinct groups: seronegative and seropositive. Here, we challenge…

Methodology · Statistics 2026-04-20 Emanuele Giorgi , Jonas Wallin

The parallel dynamics of extremely diluted symmetric Q-Ising neural networks is studied for arbitrary Q using a probabilistic approach. In spite of the extremely diluted architecture the feedback correlations arising from the symmetry…

Disordered Systems and Neural Networks · Physics 2015-06-25 D. Bolle , G. Jongen , G. M. Shim

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…

Cell Behavior · Quantitative Biology 2010-12-10 Adriano Barra , Silvio Franz , Thiago Sabetta

A metabolic model can be represented as bipartite graph comprising linked reaction and metabolite nodes. Here it is shown how a network of conserved fluxes can be assigned to the edges of such a graph by combining the reaction fluxes with a…

Molecular Networks · Quantitative Biology 2015-05-13 Patrick B. Warren , Silvio M. Duarte Queiros , Janette L. Jones

We address the problem of distributed state estimation of a linear dynamical process in an attack-prone environment. Recent attempts to solve this problem impose stringent redundancy requirements on the measurement and communication…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Aritra Mitra , Faiq Ghawash , Shreyas Sundaram , Waseem Abbas

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 analyze a model of interacting agents (e.g. prebiotic chemical species) which are represended by nodes of a network, whereas their interactions are mapped onto directed links between these nodes. On a fast time scale, each agent follows…

Populations and Evolution · Quantitative Biology 2009-11-13 Adrian M. Seufert , Frank Schweitzer

Complex mathematical models of interaction networks are routinely used for prediction in systems biology. However, it is difficult to reconcile network complexities with a formal understanding of their behavior. Here, we propose a simple…

Biological Physics · Physics 2017-11-22 Félix Proulx-Giraldeau , Thomas J. Rademaker , Paul François

Motivation: Cell-biological processes are regulated through a complex network of interactions between genes and their products. The processes, their activating conditions, and the associated transcriptional responses are often unknown.…

Molecular Networks · Quantitative Biology 2012-02-03 Leo Lahti , Juha E. A. Knuuttila , Samuel Kaski

We study the non-equilibrium phase transition in a model for epidemic spreading on scale-free networks. The model consists of two particle species $A$ and $B$, and the coupling between them is taken to be asymmetric; $A$ induces $B$ while…

Statistical Mechanics · Physics 2009-11-11 Yong-Yeol Ahn , Naoki Masuda , Hawoong Jeong , Jae Dong Noh

We introduce the Graph Mixture Density Networks, a new family of machine learning models that can fit multimodal output distributions conditioned on graphs of arbitrary topology. By combining ideas from mixture models and graph…

Machine Learning · Computer Science 2021-06-28 Federico Errica , Davide Bacciu , Alessio Micheli

This paper continues our previous study on spreading processes in inhomogeneous populations consisting of susceptible and immune individuals [V. Blavatska, Yu. Holovatch, Physica A 573, 125980 (2021)]. A special role in such populations is…

Disordered Systems and Neural Networks · Physics 2022-03-21 V. Blavatska , Yu. Holovatch

Metabolism plays a central role in cell physiology because it provides the molecular machinery for growth. At the genome-scale, metabolism is made up of thousands of reactions interacting with one another. Untangling this complexity is key…

Molecular Networks · Quantitative Biology 2020-12-21 Varshit Dusad , Denise Thiel , Mauricio Barahona , Hector C. Keun , Diego A. Oyarzún

Compartmental epidemic models with dynamics that evolve over a graph network have gained considerable importance in recent years but analysis of these models is in general difficult due to their complexity. In this paper, we develop two…

Populations and Evolution · Quantitative Biology 2023-05-31 Sei Zhen Khong , Lanlan Su

The study of PT-symmetric physical systems began in 1998 as a complex generalization of conventional quantum mechanics, but beginning in 2007 experiments began to be published in which the predicted PT phase transition was clearly observed…

Chaotic Dynamics · Physics 2017-01-04 Carl M. Bender , Ananya Ghatak , Mariagiovanna Gianfreda

Human behaviour strongly influences the spread of infectious diseases: understanding the interplay between epidemic dynamics and adaptive behaviours is essential to improve response strategies to epidemics, with the goal of containing the…

Physics and Society · Physics 2024-08-21 Marco Mancastroppa , Alessandro Vezzani , Vittoria Colizza , Raffaella Burioni