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A model of the urban agglomeration and segregation is formulated, in which two types of agents move around on the square-lattice aligned cells. The model is shown to exhibit, when the density of agents are varied as the control parameter,…

Physics and Society · Physics 2023-07-24 Taksu Cheon , Michikazu Kobayashi

Dynamics maintaining diversity of cell types in a multi-cellular system are studied in relationship with the plasticity of cellular states. First, we introduce a new theoretical framework, reaction-diffusion system on `chemical species…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Hiroaki Takagi , Kunihiko Kaneko

The regulation of metabolic activity by tuning enzyme expression levels is crucial to sustain cellular growth in changing environments. Metabolic networks are often studied at steady state using constraint-based models and optimization…

Molecular Networks · Quantitative Biology 2014-10-24 Steffen Waldherr , Diego A. Oyarzún , Alexander Bockmayr

Dynamics maintaining diversity of cell types in a multi-cellular system are studied in relationship with the plasticity of cellular states. By adopting a simple theoretical framework for intra-cellular chemical reaction dynamics with…

Cell Behavior · Quantitative Biology 2007-05-23 Hiroaki Takagi , Kunihiko Kaneko

Various biological cells secrete diffusing chemical compounds into their environment for communication purposes. Secretion usually takes place over the cell membrane in a spatially heterogeneous manner. Mathematical models of these…

Numerical Analysis · Mathematics 2025-11-20 Qiyao Peng , Sander C. Hille

We consider the problem of inferring the probability distribution of flux configurations in metabolic network models from empirical flux data. For the simple case in which experimental averages are to be retrieved, data are described by a…

Molecular Networks · Quantitative Biology 2017-04-27 Daniele De Martino , Andrea De Martino

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

The large scale behaviour of a population of cells that grow and interact through the concentration field of the chemicals they secrete is studied using dynamical renormalization group methods. The combination of the effective long-range…

Cell Behavior · Quantitative Biology 2015-01-19 Anatolij Gelimson , Ramin Golestanian

Metabolic networks perform some of the most fundamental functions in living cells, including energy transduction and building block biosynthesis. While these are the best characterized networks in living systems, understanding their…

Molecular Networks · Quantitative Biology 2010-04-05 W. J. Riehl , P. L. Krapivsky , S. Redner , D. Segre

With the help of a mathematical model, the metabolic process of the Krebs cycle is studied. The autocatalytic processes resulting in both the formation of the self-organization in the Krebs cycle and the appearance of a cyclicity of its…

Molecular Networks · Quantitative Biology 2017-10-26 V. I. Grytsay , I. V. Musatenko

An imbalance between energy intake and energy expenditure will lead to a change in body weight (mass) and body composition (fat and lean masses). A quantitative understanding of the processes involved, which currently remains lacking, will…

Tissues and Organs · Quantitative Biology 2015-05-13 Carson C. Chow , Kevin D. Hall

Representation of cities as organisms with metabolic processes is a useful analogy for urban design, development and sustainability. Urban metabolism can be modeled by representing urban systems as networks. The various networks included in…

Physics and Society · Physics 2026-04-09 Bharat Sharma , Abhilasha J. Saroj , Evan Scherrer , Melissa R. Allen-Dumas

We study the link between relaxation to the equilibrium and anomalous superdiffusive motion in a classical N-body hamiltonian system with long-range interaction showing a second-order phase-transition in the canonical ensemble. Anomalous…

Statistical Mechanics · Physics 2009-10-31 V. Latora , A. Rapisarda , S. Ruffo

Species interactions through cross-feeding via leakage and uptake of chemicals are important in microbial communities, and play an essential role in the coexistence of diverse species. Here, we study a simple dynamical model of a microbial…

Biological Physics · Physics 2026-02-02 Takashi Shimada , Kunihiko Kaneko

Life has a special status, it even has its own science: biology. In many ways, the logic of life seems to differ from that of atoms, molecules, planets, or any other `inanimate object'. However, life is increasingly measured using…

Other Quantitative Biology · Quantitative Biology 2021-12-16 Marc-Antoine Fardin

The history of the Earth has been marked by major ecological transitions, driven by metabolic innovation, that radically reshaped the composition of the oceans and atmosphere. The nature and magnitude of the earliest transitions, hundreds…

Populations and Evolution · Quantitative Biology 2020-06-12 Boris Sauterey , Benjamin Charnay , Antonin Affholder , Stéphane Mazevet , Régis Ferrière

The glassy cytoplasm, crowded with bio-macromolecules, is fluidized in living cells by mechanical energy derived from metabolism. Characterizing the living cytoplasm as a non-equilibrium system is crucial in elucidating the intricate…

Biological Physics · Physics 2023-07-28 K. Umeda , K. Nishizawa , W. Nagao , S. Inokuchi , Y. Sugino , H. Ebata , D. Mizuno

Hybrid modeling provides an effective solution to cope with multiple time scales dynamics in systems biology. Among the applications of this method, one of the most important is the cell cycle regulation. The machinery of the cell cycle,…

Computational Engineering, Finance, and Science · Computer Science 2013-09-05 Vincent Noël , Sergey Vakulenko , Ovidiu Radulescu

Many microbes live in habitats below their optimum temperature. Retention of metabolic heat by aggregation or insulation would boost growth. Generation of excess metabolic heat may also provide benefit. A cell that makes excess metabolic…

Populations and Evolution · Quantitative Biology 2020-10-22 Steven A. Frank

Biological systems operate under simultaneous energetic and informational constraints, yet direct evidence that such constraints shape real metabolic networks is limited. The Network-Weighted Action Principle predicts that networks under…

Molecular Networks · Quantitative Biology 2026-05-08 Martin G. Frasch