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Based on a non-equilibrium mechanism for spatial pattern formation we study how position information can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of cells in a developing…

Molecular Networks · Quantitative Biology 2009-08-26 Thimo Rohlf , Stefan Bornholdt

The vision of Organic Computing addresses challenges that arise in the design of future information systems that are comprised of numerous, heterogeneous, resource-constrained and error-prone components or devices. Here, the notion organic…

Networking and Internet Architecture · Computer Science 2012-04-26 Ingo Scholtes , Claudio Juan Tessone

Biological organisms adapt to changes by processing informations from different sources, most notably from their ancestors and from their environment. We review an approach to quantify these informations by analyzing mathematical models of…

Populations and Evolution · Quantitative Biology 2016-03-23 Olivier Rivoire

We present a simple physical model that recapitulates several features of biological evolution, while being based only on thermally-driven attachment and detachment of elementary building blocks. Through its dynamics, this model samples a…

Populations and Evolution · Quantitative Biology 2025-07-11 Guy Bunin , Olivier Rivoire

Flow-fields are ubiquitous systems that are able to transport vital signalling molecules necessary for system function. While information regarding the location and transport of such particles is often crucial, it is not well-understood how…

Statistical Mechanics · Physics 2020-09-02 Evelyn Tang , Ramin Golestanian

Steady-state thermodynamics (SST) is a relatively newly emerging subfield of physics, which deals with transitions between steady states. In this paper, we find an SST-like structure in population dynamics of organisms that can sense their…

Statistical Mechanics · Physics 2022-01-28 Hideyuki Miyahara

Highly-optimized complex transport networks serve crucial functions in many man-made and natural systems such as power grids and plant or animal vasculature. Often, the relevant optimization functional is non-convex and characterized by…

Biological Physics · Physics 2016-09-23 Henrik Ronellenfitsch , Eleni Katifori

Fluctuations are inherent to biological systems, arising from the stochastic nature of molecular interactions, and influence various aspects of system behavior, stability, and robustness. These fluctuations can be categorized as intrinsic,…

Molecular Networks · Quantitative Biology 2024-08-23 Manuel Eduardo Hernández-García , Mariana Gómez-Schiavon , Jorge Velázquez-Castro

Mathematical models of biological growth commonly attempt to distinguish deformation due to growth from that due to mechanical stresses through a hypothesised multiplicative decomposition of the deformation gradient. Here we demonstrate…

Mathematical Physics · Physics 2012-10-29 Isaac Vikram Chenchiah , Patrick D. Shipman

Numerical plant models can predict the outcome of plant traits modifications resulting from genetic variations, on plant performance, by simulating physiological processes and their interaction with the environment. Optimization methods…

Quantitative Methods · Quantitative Biology 2017-06-20 Victor Picheny , Pierre Casadebaig , Ronan Trépos , Robert Faivre , David Da Silva , Patrick Vincourt , Evelyne Costes

The diffusion of active microscopic organisms in complex environments plays an important role in a wide range of biological phenomena from cell colony growth to single organism transport. Here, we investigate theoretically and…

Fluid Dynamics · Physics 2018-01-16 Juan L. Aragones , Shahrzad Yazdi , Alfredo Alexander-Katz

In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a…

Statistical Mechanics · Physics 2017-03-22 Tamás Biró , Zoltán Néda

Biological neural networks can perform complex computations to predict their environment, far above the limited predictive capabilities of individual neurons. While conventional approaches to understanding these computations often focus on…

Neurons and Cognition · Quantitative Biology 2024-06-28 Hanna M. Tolle , Andrea I Luppi , Anil K. Seth , Pedro A. M. Mediano

We study the multi-scale description of large-time collective behavior of agents driven by alignment. The resulting multi-flock dynamics arises naturally with realistic initial configurations consisting of multiple spatial scaling, which in…

Analysis of PDEs · Mathematics 2020-03-11 Roman Shvydkoy , Eitan Tadmor

By unifying three foundational principles of modern biology, we develop a mathematical framework to analyze the growing tree of life. Contrary to the static case, where the analogy between phylogenetic trees and the tree that grows in soil…

Populations and Evolution · Quantitative Biology 2025-10-01 Kevin Hudnall , Raissa D'Souza

The relationship between the thermodynamic and computational characteristics of dynamical physical systems has been a major theoretical interest since at least the 19th century, and has been of increasing practical importance as the…

Adaptation to environmental change is a common property of biological systems. Cells initially respond to external changes in the environment, but after some time, they regain their original state. By considering an element consisting of…

Biological Physics · Physics 2015-05-13 Masayo Inoue , Kunihiko Kaneko

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

Self-regulation of living tissue as an example of self-organization phenomena in active fractal systems of biological, ecological, and social nature is under consideration. The characteristic feature of these systems is the absence of any…

Tissues and Organs · Quantitative Biology 2008-12-02 Wassily Lubashevsky , Ihor Lubashevsky , Reinhard Mahnke

Differential equations based on physical principals are used to represent complex dynamic systems in all fields of science and engineering. Through repeated use in both academics and industry, these equations have been shown to represent…

Methodology · Statistics 2022-09-08 Joshua S. North , Christopher K. Wikle , Erin M. Schliep