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Maintaining tissue homeostasis requires appropriate regulation of stem cell differentiation. The Waddington landscape posits that gene circuits in a cell form a potential landscape of different cell types, wherein cells follow attractors of…

Quantitative Methods · Quantitative Biology 2023-09-15 Rongsheng Huang , Qiaojun Situ , Jinzhi Lei

A number of biological rhythms originate from networks comprised of multiple cellular oscillators. But analytical results are still lacking on the collective oscillation period of inter-coupled gene regulatory oscillators, which, as has…

Systems and Control · Computer Science 2014-02-26 Yongqiang Wang , Yutaka Hori , Shinji Hara , Francis J. Doyle

Gene regulatory networks, i.e. DNA segments in a cell which interact with each other indirectly through their RNA and protein products, lie at the heart of many important intracellular signal transduction processes. In this paper we analyse…

Analysis of PDEs · Mathematics 2014-04-03 Mark Chaplain , Mariya Ptashnyk , Marc Sturrock

Delay is an inherent feature of genetic regulatory networks. It represents the time required for the assembly of functional regulator proteins. The protein production process is complex, as it includes transcription, translocation,…

Subcellular Processes · Quantitative Biology 2025-12-29 Sean Campbell , Courtney C. White , Amanda M. Alexander , William Ott

Genome-wide patterns of genetic divergence reveal mechanisms of adaptation under gene flow. Empirical data show that divergence is mostly concentrated in narrow genomic regions. This pattern may arise because differentiated loci protect…

Populations and Evolution · Quantitative Biology 2017-02-21 M. Rafajlovic , A. Emanuelsson , K. Johannesson , R. K. Butlin , B. Mehlig

Circadian rhythmicity lies at the center of various important physiological and behavioral processes in mammals, such as sleep, metabolism, homeostasis, mood changes and more. It has been shown that this rhythm arises from self-sustained…

Neurons and Cognition · Quantitative Biology 2023-02-08 Yorgos M. Psarellis , Michail Kavousanakis , Michael A. Henson , Ioannis G. Kevrekidis

The dynamics of particles interacting by key-lock binding of attached biomolecules are studied theoretically. Experimental realizations of such systems include colloids grafted with complementary single-stranded DNA (ssDNA), and particles…

Soft Condensed Matter · Physics 2009-11-13 Nicholas A. Licata , Alexei V. Tkachenko

Cellular reprogramming, the conversion of one cell type to another, has fundamentally transformed our conception of cell types. Cellular reprogramming induces global changes in gene expression involving hundreds of transcription factors and…

Molecular Networks · Quantitative Biology 2015-05-18 Sai Teja Pusuluri , Alex H. Lang , Pankaj Mehta , Horacio E. Castillo

We discuss the emergence of time dilation as a normal feature expected of any system where a central processor may have to wait one or more clock cycles before concluding a local calculation. We show how the process of causal implication in…

General Relativity and Quantum Cosmology · Physics 2009-09-25 George Jaroszkiewicz

We study a system of dynamical units, each of which shows excitable or oscillatory behavior, depending on the choice of parameters. When we couple these units with repressive bonds, we can control the duration of collective oscillations for…

Molecular Networks · Quantitative Biology 2014-02-06 Darka Labavic , Hildegard Meyer-Ortmanns

A big challenge in current biology is to understand the exact self-organization mechanism underlying complex multi-physics coupling developmental processes. With multiscale computations of from subcellular gene expressions to cell…

Cell Behavior · Quantitative Biology 2021-05-18 Xiaoliang Wang , Dongyun Bai

Being able to measure time, whether directly or indirectly, is a significant advantage for an organism. It permits it to predict regular events, and prepare for them on time. Thus, clocks are ubiquitous in biology. In the present paper, we…

Other Quantitative Biology · Quantitative Biology 2017-06-23 Andrei D. Robu , Christoph Salge , Chrystopher L. Nehaniv , Daniel Polani

Genetic oscillators, such as circadian clocks, are constantly perturbed by molecular noise arising from the small number of molecules involved in gene regulation. One of the strongest sources of stochasticity is the binary noise that arises…

Biological Physics · Physics 2016-01-06 Sargis Karapetyan , Nicolas E. Buchler

Being able to measure time, whether directly or indirectly, is a significant advantage for an organism. It allows for the timely reaction to regular or predicted events, reducing the pressure for fast processing of sensory input. Thus,…

Other Quantitative Biology · Quantitative Biology 2019-06-19 Andrei D. Robu , Christoph Salge , Chrystopher L. Nehaniv , Daniel Polani

Circadian rhythms in living organisms are temporal orders emerging from biochemical circuits driven out of equilibrium. Here, considering the KaiABC system, a minimal model in the synthetic biology, we study how the oscillation emerges from…

Statistical Mechanics · Physics 2026-04-10 YeongKyu Lee , Changbong Hyeon

Time delay in general leads to instability in some systems, while a specific feedback with delay can control fluctuated motion in nonlinear deterministic systems to a stable state. In this paper, we consider a non-stationary stochastic…

Chaotic Dynamics · Physics 2017-08-02 Hiroyasu Ando , Kohta Takehara , Miki U. Kobayashi

How much information does a cell inherit from its ancestors beyond its genetic sequence? What are the epigenetic mechanisms that allow this? Despite the rise in available epigenetic data, how such information is inherited through the cell…

Biological Physics · Physics 2024-11-14 Ander Movilla Miangolarra , Martin Howard

DNA replication is an essential process in biology and its timing must be robust so that cells can divide properly. Random fluctuations in the formation of replication starting points, called origins, and the subsequent activation of…

Quantitative Methods · Quantitative Biology 2012-02-03 Jens Karschau , J. Julian Blow , Alessandro P. S. de Moura

Using Brownian dynamics simulations, we study the migration of long charged chains in an electrophoretic microchannel device consisting of an array of microscopic entropic traps with alternating deep regions and narrow constrictions. Such a…

Biological Physics · Physics 2007-05-23 Martin Streek , Friederike Schmid , Thanh Tu Duong , Alexandra Ros

The time-dependent relaxation of a dynamical system may exhibit a power-law behavior that is superimposed by log-periodic oscillations. Sornette [Phys. Rep. 297, 239 (1998)] showed that this behavior can be explained by a discrete scale…

Biological Physics · Physics 2023-11-21 Emanuel Dorbath , Adnan Gulzar , Gerhard Stock