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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

Protein synthesis rates are determined, at the translational level, by properties of the transcript's sequence. The efficiency of an mRNA can be tuned by varying the ribosome binding sites controlling the recruitment of the ribosomes, or…

Subcellular Processes · Quantitative Biology 2017-12-14 Lucas D. Fernandes , Alessandro P. S. de Moura , Luca Ciandrini

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

The structure and dynamics of a typical biological system are complex due to strong and inhomogeneous interactions between its constituents. The investigation of such systems with classical mathematical tools, such as differential equations…

Molecular Networks · Quantitative Biology 2008-02-15 Murat Tuğrul

We study the spatial rock-paper-scissors model, where resource competitors' cyclic dominance impacts organisms' energy levels. Our model assumes that failed selection interactions can lead to energy loss, reducing the chances of success in…

Populations and Evolution · Quantitative Biology 2023-06-06 J. Menezes , E. Rangel

We consider a continuum mechanical model for the migration of multiple cell populations through parts of tissue separated by thin membranes. In this model, cells belonging to different populations may be characterised by different…

Analysis of PDEs · Mathematics 2021-09-28 Chiara Giverso , Tommaso Lorenzi , Luigi Preziosi

Rising inequalities around the globe bring into question our economic systems and the origin of such inequalities. Here we propose a toy agent-based model where each entity is simultaneously producing and consuming indivisible goods. We…

Disordered Systems and Neural Networks · Physics 2024-05-29 Nirbhay Patil , Jean-Philippe Bouchaud

Characterization of pluripotent states, in which cells can both self-renew and differentiate, and the irreversible loss of pluripotency are important research areas in developmental biology. In particular, an understanding of these…

Molecular Networks · Quantitative Biology 2015-09-02 Tadashi Miyamoto , Chikara Furusawa , Kunihiko Kaneko

Many biological systems approach physical limits to their performance, motivating the idea that their behavior and underlying mechanisms could be determined by such optimality. Nevertheless, optimization as a predictive principle has only…

Biological Physics · Physics 2023-12-05 Thomas R Sokolowski , Thomas Gregor , William Bialek , Gašper Tkačik

Protein synthesis is one of the most fundamental biological processes, which consumes a significant amount of cellular resources. Despite existence of multiple mathematical models of translation, varying in the level of mechanistical…

Molecular Networks · Quantitative Biology 2021-01-06 Alexander N. Gorban , Annick Harel-Bellan , Nadya Morozova , Andrei Zinovyev

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

We present a detailed dynamical model of the behavior of transcription-translation circuits in vitro that makes explicit the roles played by essential molecular resources. A set of simple two-gene test circuits operating in a cell-free…

Molecular Networks · Quantitative Biology 2013-07-02 Dan Siegal-Gaskins , Vincent Noireaux , Richard M. Murray

People choose their strategies through a trial-and-error learning process in which they gradually discover that some strategies work better than others. The process can be modelled as an evolutionary game dynamics system, which may be…

Theoretical Economics · Economics 2023-02-21 Wang Zhijian

We formalize the argument that political disagreements can be traced to a "clash of narratives". Drawing on the "Bayesian Networks" literature, we model a narrative as a causal model that maps actions into consequences, weaving a selection…

Theoretical Economics · Economics 2018-11-13 Kfir Eliaz , Ran Spiegler

The construction of a network of cell-to-cell contacts makes it possible to characterize the patterns and spatial organisation of tissues. Such networks are highly dynamic, depending on the changes of the tissue architecture caused by cell…

Tissues and Organs · Quantitative Biology 2013-06-25 Attila Csikász-Nagy , Luis M. Escudero , Martial Guillaud , Sean Sedwards , Buzz Baum , Matteo Cavaliere

The process of polymerizing a protein by a ribosome, using a messenger RNA (mRNA) as the corresponding template, is called {\it translation}. Ribosome may be regarded as a molecular motor for which the mRNA template serves also as the…

Biological Physics · Physics 2015-03-19 Ajeet K. Sharma , Debashish Chowdhury

Outside ideal settings, conventions are shaped by competing processes that can challenge the emergence of norms. This paper identifies three trade-offs challenging the diffusion of conventions: (I) the trade-off between the imperatives of…

Physics and Society · Physics 2025-03-17 Lucas Gautheron

The regulation of cellular function is often controlled at the level of gene transcription. Such genetic regulation usually consists of interacting networks, whereby gene products from a single network can act to control their own…

Biological Physics · Physics 2009-11-06 Jeff Hasty , Joel Pradines , Milos Dolnik , J. J. Collins

A variety of biomolecular systems rely on exploratory dynamics to reach target locations or states within a cell. Without a mechanism to remotely sense and move directly towards a target, the system must sample over many paths, often…

Biological Physics · Physics 2025-09-01 Elena F Koslover , Milo M Lin , Rob Phillips

We study a minimal model for the growth of a phenotypically heterogeneous population of cells subject to a fluctuating environment in which they can replicate (by exploiting available resources) and modify their phenotype within a given…

Populations and Evolution · Quantitative Biology 2019-01-23 Andrea De Martino , Thomas Gueudré , Mattia Miotto