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In multicellular organisms, several cell states coexist. For determining each cell type, cell-cell interactions are often essential, in addition to intracellular gene expression dynamics. Based on dynamical systems theory, we propose a…

Cell Behavior · Quantitative Biology 2007-12-05 Akihiko Nakajima , Kunihiko Kaneko

During development, spatio-temporal patterns ranging from checkerboard to engulfing occur with precise proportions of the respective cell fates. Key developmental regulators are intracellular transcriptional interactions and intercellular…

Biological Physics · Physics 2022-11-15 Simon Schardt , Sabine C. Fischer

The work is devoted to the analysis of cell population dynamics where cells make a choice between differentiation and apoptosis. This choice is based on the values of intracellular proteins whose concentrations are described by a system of…

Cell Behavior · Quantitative Biology 2016-03-30 Malay Banerjee , Vitaly Volpert

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

In Dictyostelium discoideum the proportion of cell types is known to be actively regulated, recovering, for example, after the removal of a given cell type. However, we have recently shown that regulation is intrinsically imprecise: it…

Biological Physics · Physics 2014-01-31 Ismael Rafols , Harry K. MacWilliams , Yasuo Maeda , Yasuji Sawada

Feedback loops are essential for regulating cell proliferation and maintaining the delicate balance between cell division and cell death. Thanks to the exact solution of a few simple models of cell growth it is by now clear that stochastic…

Populations and Evolution · Quantitative Biology 2023-03-07 Antonio Francesco Zirattu , Marta Biondo , Matteo Osella , Michele Caselle

Adaptive control in biological systems, such as intestinal immunity, remains poorly understood despite detailed knowledge of underlying regulatory networks. We propose an alternative framework based on stochastic martingale turnover, in…

Adaptation and Self-Organizing Systems · Physics 2026-05-01 Tomoyuki Yamaguchi

Identifying the mechanism of intercellular feedback regulation is critical for the basic understanding of tissue growth control in organisms. In this paper, we analyze a tissue growth model consisting of a single lineage of two cell types…

Tissues and Organs · Quantitative Biology 2021-09-22 Mao-Xiang Wang , Arthur Lander , Pik-Yin Lai

A ubiquitous feature of living cells is their growth over time followed by division into daughter cells. How isogenic cell populations maintain size homeostasis, i.e., a narrow distribution of cell size, is an intriguing fundamental…

Cell Behavior · Quantitative Biology 2016-06-03 César Augusto Vargas-García , Mohammad Soltani , Abhyudai Singh

Collective oscillation of cells in a population has been reported under diverse biological contexts and with vastly different molecular constructs. Could there be common principles similar to those that govern spontaneous oscillation in…

Cell Behavior · Quantitative Biology 2019-07-08 Shou-Wen Wang , Lei-Han Tang

To maintain renewing epithelial tissues in a healthy, homeostatic state, (stem) cell divisions and differentiation need to be tightly regulated. Mechanisms of homeostatic control often rely on crowding control: cells are able to sense the…

Tissues and Organs · Quantitative Biology 2023-01-16 Cristina Parigini , Philip Greulich

Multicellular tissues are the building blocks of many biological systems and organs. These tissues are not static, but dynamically change over time. Even if the overall structure remains the same there is a turnover of cells within the…

Tissues and Organs · Quantitative Biology 2021-02-12 Domenic P. J. Germano , James M. Osborne

Controlling growth via cell division is crucial in the development of higher organisms, and yet the mechanisms through which this is achieved, e.g., in epithelial tissue, is not yet fully understood. We show that by coupling the cell cycle…

Tissues and Organs · Quantitative Biology 2024-06-11 Chandrashekar Kuyyamudi , Shakti N. Menon , Fernando Casares , Sitabhra Sinha

One of the fundamental problems in biology concerns the method by which a cluster of organisms can regulate the proportion of individuals that perform various roles or modes as if each individual knows a whole situation without a leader. A…

Adaptation and Self-Organizing Systems · Physics 2015-12-21 Mayuko Iwamoto , Daishin Ueyama

As a model of proportion regulation in differentiation process of biological system, globally coupled activator-inhibitor systems are studied. Formation and destabilization of one and two cluster state are predicted analytically. Numerical…

adap-org · Physics 2015-06-30 Tsuyoshi Mizuguchi , Masaki Sano

Basic problems for the construction of a scenario for the Life are discussed. To study the problems in terms of dynamical systems theory, a scheme of intra-inter dynamics is presented. It consists of internal dynamics of a unit, interaction…

adap-org · Physics 2015-06-24 Kunihiko Kaneko

In multi-cellular organisms, cells differentiate into multiple types as they divide. States of these cell types, as well as their numbers, are known to be robust to external perturbations; as conceptualized by Waddington's epigenetic…

Biological Physics · Physics 2026-01-21 Davey Plugers , Kunihiko Kaneko

Cells coexist together in colonies or as tissues. Their behaviour is controlled by an interplay between intercellular forces and biochemical regulation. We develop a simple model of the cell cycle, the fundamental regulatory network…

Biological Physics · Physics 2021-08-04 Jintao Li , Simon K. Schnyder , Matthew S. Turner , Ryoichi Yamamoto

A dynamic model for cell differentiation is studied, where cells with internal chemical reaction dynamics interact with each other and replicate. It leads to spontaneous differentiation of cells and determination, as is discussed in the…

adap-org · Physics 2007-05-23 Chikara Furusawa , Kunihiko Kaneko

Positive feedback regulation is ubiquitous in cell signaling networks, often leading to binary outcomes in response to graded stimuli. However, the role of such feedbacks in clustering, and in spatial spreading of activated molecules, has…

Soft Condensed Matter · Physics 2015-05-13 Jayajit Das , Mehran Kardar , Arup K. Chakraborty
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