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Cells achieve size homeostasis by regulating their division timing based on their size, added size, and cell cycle time. Previous research under steady-state conditions demonstrated the robustness of these mechanisms. However, their dynamic…

Quantitative Methods · Quantitative Biology 2025-12-01 Cesar Nieto , Sayeh Rezaee , Cesar Augusto Vargas-Garcia , Abhyudai Singh

Hematopoiesis is a complex biological process that leads to the production and regulation of blood cells. It is based upon differentiation of stem cells under the action of growth factors. A mathematical approach of this process is proposed…

Classical Analysis and ODEs · Mathematics 2009-04-17 Mostafa Adimy , Fabien Crauste , Shigui Ruan

Microbial growth and division are fundamental processes relevant to many areas of life science. Of particular interest are homeostasis mechanisms, which buffer growth and division from accumulating fluctuations over multiple cycles. These…

Cell Behavior · Quantitative Biology 2022-10-12 Lee Susman , Maryam Kohram , Harsh Vashistha , Jeffrey T. Nechleba , Hanna Salman , Naama Brenner

Fast-slow dynamical systems have subsystems that evolve on vastly different timescales, and bifurcations in such systems can arise due to changes in any or all subsystems. We classify bifurcations of the critical set (the equilibria of the…

Dynamical Systems · Mathematics 2020-04-21 Karl Nyman , Peter Ashwin , Peter Ditlevsen

Collective behaviors exhibited by animal groups, such as fish schools, bird flocks, or insect swarms are fascinating examples of self-organization in biology. Concepts and methods from statistical physics have been used to argue…

Biological Physics · Physics 2023-03-14 Pawel Romanczuk , Bryan C. Daniels

Many cellular processes involve information processing and decision making. We can probe these processes at increasing molecular detail. The analysis of heterogeneous data remains a challenge that requires new ways of thinking about cells…

Cell Behavior · Quantitative Biology 2024-12-03 Lucy Ham , Taylor E. Woodford , Megan A. Coomer , Michael P. H. Stumpf

The fundamental processes of biological development are governed by multiple signaling molecules that create non-uniform concentration profiles known as morphogen gradients. It is widely believed that the establishment of morphogen…

Biological Physics · Physics 2015-06-18 Hamid Teimouri , Anatoly B. Kolomeisky

Membranes containing a wide variety of ternary mixtures of high chain-melting temperature lipids, low chain-melting temperature lipids, and cholesterol undergo lateral phase separartion into coexisting liquid phases at a miscibility…

Distinguishability and, by extension, observability are key properties of dynamical systems. Establishing these properties is challenging, especially when no analytical model is available and they are to be inferred directly from…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Pierre-François Massiani , Mona Buisson-Fenet , Friedrich Solowjow , Florent Di Meglio , Sebastian Trimpe

The mechanosensitivity of cells, which determines how they are able to respond to mechanical signals received from their environment, is crucial for the functioning of all biological systems. In experiments, cells placed on cyclically…

Biological Physics · Physics 2019-01-17 John J. Molina , Ryoichi Yamamoto

A critical task in systems biology is the identification of genes that interact to control cellular processes by transcriptional activation of a set of target genes. Many methods have been developed to use statistical correlations in…

Quantitative Methods · Quantitative Biology 2010-11-24 Adam A. Margolin , Kai Wang , Andrea Califano , Ilya Nemenman

We study charge fluctuations of a family of stochastic charged cellular automata away from the deterministic single-file limit and obtain the exact typical charge probability distributions, known to be anomalous, using hydrodynamics. The…

Statistical Mechanics · Physics 2025-06-06 Takato Yoshimura , Žiga Krajnik

It has long been hypothesized that operating close to the critical state is beneficial for natural, artificial and their evolutionary systems. We put this hypothesis to test in a system of evolving foraging agents controlled by neural…

Neural and Evolutionary Computing · Computer Science 2023-11-28 Sina Khajehabdollahi , Jan Prosi , Emmanouil Giannakakis , Georg Martius , Anna Levina

To maintain homeostasis, living cells process information with networks of interacting molecules. Traditional models for cellular information processing have focused on networks of chemical reactions between molecules. Here, we describe how…

Biological Physics · Physics 2025-08-01 Arvind Murugan , David Zwicker , Charlotta Lorenz , Eric R. Dufresne

Signatures of critical behaviour in nuclear fragmentation are often based on arguments from percolation theory. We demonstrate with general thermodynamic considerations and studies of the Ising model that the reliance on percolation as a…

Nuclear Experiment · Physics 2007-05-23 W. F. J. Mueller , ALADIN collaboration

Criticality is hypothesized as a physical mechanism underlying efficient transitions between cortical states and remarkable information processing capacities in the brain. While considerable evidence generally supports this hypothesis,…

Neurons and Cognition · Quantitative Biology 2023-06-12 Yang Tian , Zeren Tan , Hedong Hou , Guoqi Li , Aohua Cheng , Yike Qiu , Kangyu Weng , Chun Chen , Pei Sun

We consider two, apparently similar, models of biological evolution which have been claimed to exhibit self-organized critical behaviour. A careful reanalysis of these models, including several new analytic results for one of them, suggests…

Condensed Matter · Physics 2009-10-22 Jan de Boer , A. D. Jackson , Tilo Wettig

To unveil the logic of cell from a level of chemical reaction dynamics, we need to clarify how ensemble of chemicals can autonomously produce the set of chemical, without assuming a specific external control echanism. A cell consists of a…

Molecular Networks · Quantitative Biology 2007-05-23 Kunihiko Kaneko

The brain forms and stores distributed representations from sparse external input that compete for neuronal resources with already stored memory traces. It is unclear what dynamical properties of neural systems allow formation and…

Neurons and Cognition · Quantitative Biology 2018-02-08 Quinton M Skilling , Daniel Maruyama , Nicolette Ognjanovski , Sara J Aton , Michal Zochowski

A model of interacting random walkers is presented and shown to give rise to patterns consisting in periodic arrangements of fluctuating particle clusters. The model represents biological individuals that die or reproduce at rates depending…

Statistical Mechanics · Physics 2009-11-10 Cristobal Lopez , Emilio Hernandez-Garcia