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The major biochemical networks of the living cell, the network of interacting genes and the network of biochemical reactions, are highly interdependent, however, they have been studied mostly as separate systems so far. In the last years an…

Molecular Networks · Quantitative Biology 2017-11-01 David F. Klosik , Anne Grimbs , Stefan Bornholdt , Marc-Thorsten Hütt

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

A network of semiflexible biopolymers, known as the cytoskeleton, and molecular motors play fundamental mechanical roles in cellular activities. The cytoskeletal response to forces generated by molecular motors is profoundly linked to…

Soft Condensed Matter · Physics 2022-05-25 N. Honda , K. Shiraki , F. van Esterik , S. Inokuchi , H. Ebata , D. Mizuno

Pancreatic beta cells are coupled excitable oscillators that synchronize their activity via different communication pathways. Their oscillatory activity manifests itself on multiple timescales and consists of bursting electrical activity,…

Biological Physics · Physics 2023-09-14 Marko Šterk , Uroš Barać , Andraž Stožer , Marko Gosak

Regulatory networks consist of interacting molecules with a high degree of mutual chemical specificity. How can these molecules evolve when their function depends on maintenance of interactions with cognate partners and simultaneous…

Populations and Evolution · Quantitative Biology 2017-11-01 Tamar Friedlander , Roshan Prizak , Nicholas H. Barton , Gašper Tkačik

Molecular noise in gene regulatory networks has two intrinsic components, one part being due to fluctuations caused by the birth and death of protein or mRNA molecules which are often present in small numbers and the other part arising from…

Molecular Networks · Quantitative Biology 2015-11-17 Davit A. Potoyan , Peter G. Wolynes

Ring oscillators are biochemical circuits consisting of a ring of interactions capable of sustained oscillations. The non-linear interactions between genes hinder the analytical insight into their function, usually requiring computational…

Molecular Networks · Quantitative Biology 2018-02-19 Karen M. Page , Ruben Perez-Carrasco

We study mean-field Ising models whose coupling depends on the magnetization via a feedback function. We identify mixed phases (MPs) and show that they can be stable at zero temperature for sufficiently strong feedback. Moreover, stable MPs…

Statistical Mechanics · Physics 2025-06-11 Yi-Ping Ma , Ivan Sudakow , P. L. Krapivsky

Proteins are the "work horses" in biological systems. In almost all functions specific proteins are involved. They control molecular transport processes, stabilize the cell structure, enzymatically catalyze chemical reactions; others act as…

Statistical Mechanics · Physics 2009-02-18 Michael Bachmann , Wolfhard Janke

Living cells provide a fluctuating, out-of-equilibrium environment in which genes must coordinate cellular function. DNA looping, which is a common means of regulating transcription, is very much a stochastic process; the loops arise from…

Biomolecules · Quantitative Biology 2015-05-18 Yih-Fan Chen , J. N. Milstein , Jens-Christian Meiners

In this paper we study how to shape temporal pulses to switch a bistable system between its stable steady states. Our motivation for pulse-based control comes from applications in synthetic biology, where it is generally difficult to…

Optimization and Control · Mathematics 2015-10-05 Aivar Sootla , Diego Oyarzun , David Angeli , Guy-Bart Stan

Federated learning is an approach to train machine learning models on the edge of the networks, as close as possible where the data is produced, motivated by the emerging problem of the inability to stream and centrally store the large…

Machine Learning · Computer Science 2022-10-07 Kuo-Yun Liang , Abhishek Srinivasan , Juan Carlos Andresen

The synthetic toggle switch, first proposed by Gardner & Collins [1] is a MIMO control system that can be controlled by varying the concentrations of two inducer molecules, aTc and IPTG, to achieve a desired level of expression of the two…

Systems and Control · Computer Science 2020-03-18 Agostino Guarino , Davide Fiore , Mario di Bernardo

How do protein structure prediction models fold proteins? We investigate this question by tracing how ESMFold folds a beta hairpin, a prevalent structural motif. Through counterfactual interventions on model latents, we identify two…

Machine Learning · Computer Science 2026-02-10 Kevin Lu , Jannik Brinkmann , Stefan Huber , Aaron Mueller , Yonatan Belinkov , David Bau , Chris Wendler

We study the periodic forced response of a system of two limit cycle oscillators that interact with each other via a time delayed coupling. Detailed bifurcation diagrams in the parameter space of the forcing amplitude and forcing frequency…

Chaotic Dynamics · Physics 2007-05-23 D. V. Ramana Reddy , A. Sen , G. L. Johnston

In studies of the visual system as well as in computer vision, the focus is often on contrast edges. However, the primate visual system contains a large number of cells that are insensitive to spatial contrast and, instead, respond to…

Neurons and Cognition · Quantitative Biology 2021-03-30 Michael Schmuker , Rüdiger Kupper , Ad Aertsen , Thomas Wachtler , Marc-Oliver Gewaltig

Biological systems are governed by coupled interactions between intracellular metabolism and bioreactor operation that span multiple time scales. Constraint-based metabolic models are widely used to describe intracellular metabolism, but…

Quantitative Methods · Quantitative Biology 2026-03-30 Peter E. Carstensen , Teddy Groves , Lars K. Nielsen , Ulrich Krühne , Krist V. Gernaey , John B. Jørgensen

The phase-separation occurring in a system of mutually interacting proteins that can bind on specific sites of a chromatin fiber is here investigated. This is achieved by means of extensive Molecular Dynamics simulations of a simple polymer…

Soft Condensed Matter · Physics 2020-10-16 Andrea M. Chiariello , Federico Corberi , Mario Salerno

Living organisms rely on endogenous feedback mechanisms to maintain homeostasis in the presence of uncertainty and environmental fluctuations. An emerging challenge at the interface of control systems engineering and synthetic biology is…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Mario di Bernardo

Cellular differentiation is governed by gene regulatory networks, the high-dimensional stochastic biochemical systems that determine the transcriptional landscape and mediate cellular responses to signals and perturbations. Although…

Molecular Networks · Quantitative Biology 2026-04-29 Suryanarayana Maddu , Victor Chardès , Michael J. Shelley