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Cooperative interactions among the binding of multiple signaling molecules is a common mechanism for enhancing the sensitivity of biological signaling systems. It is widely assumed that this increase in sensitivity of the mean response…

Molecular Networks · Quantitative Biology 2007-05-23 William Bialek , Sima Setayeshgar

Biological structure and function depend on complex regulatory interactions between many genes. A wealth of gene expression data is available from high-throughput genome-wide measurement technologies, but effective gene regulatory network…

Molecular Networks · Quantitative Biology 2016-03-28 Arwen Vanice Bradley , Ye Henry Li , Bokyung Choi , Wing Hung Wong

We define a measure of coherent activity for gene regulatory networks, a property that reflects the unity of purpose between the regulatory agents with a common target. We propose that such harmonious regulatory action is desirable under a…

Quantitative Methods · Quantitative Biology 2015-07-30 Nese Aral , Alkan Kabakcioglu

We develop a matrix-based approach to predict and verify indirect interactions in gene and protein regulatory networks. It is based on the approximate transitivity of indirect regulations (e.g. A regulates B and B regulates C often implies…

Quantitative Methods · Quantitative Biology 2007-11-27 Koon-Kiu Yan , Sergei Maslov , Ilya Mazo , Anton Yuryev

In this paper we investigate the existence of a separation principle between model identification and control design in the context of model predictive control. First, we clarify that such a separation principle holds asymptotically in the…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Giacomo Baggio , Ruggero Carli , Riccardo Alessandro Grimaldi , Gianluigi Pillonetto

We construct two error feedback controllers for robust output tracking and disturbance rejection of a regular linear system with nonsmooth reference and disturbance signals. We show that for sufficiently smooth signals the output converges…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

The observable behavior of a complex system reflects the mechanisms governing the internal interactions between the system's components and the effect of external perturbations. Here we show that by capturing the simultaneous activity of…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Argollo de Menezes , A. -L. Barabasi

Living organisms must respond to environmental changes. Generally, accurate and rapid responses are provided by simple, unidirectional networks that connect inputs with outputs. Besides accuracy and speed, biological responses should also…

Molecular Networks · Quantitative Biology 2021-09-01 Masayo Inoue , Kunihiko Kaneko

A model of pattern formation in living systems is presented. The pattern is achieved by the sequential interaction of two signaling pathways. The coupling of the pattern to the (thick) epithelial sheet changes is given, when the Gauss…

Tissues and Organs · Quantitative Biology 2009-05-11 Frederick W. Cummings

This paper presents an algebraic framework to study sign-sensitivities for reaction networks modeled by means of systems of ordinary differential equations. Specifically, we study the sign of the derivative of the concentrations of the…

Molecular Networks · Quantitative Biology 2019-09-02 Elisenda Feliu

We present a model for the time evolution of network architectures based on dynamical systems. We show that the evolution of the existence of a connection in a network can be described as a stochastic non-markovian telegraphic signal…

Adaptation and Self-Organizing Systems · Physics 2018-10-11 Pablo Kaluza

Allosteric regulation is found across all domains of life, yet we still lack simple, predictive theories that directly link the experimentally tunable parameters of a system to its input-output response. To that end, we present a general…

Subcellular Processes · Quantitative Biology 2017-06-23 Manuel Razo-Mejia , Stephanie L. Barnes , Nathan M. Belliveau , Griffin Chure , Tal Einav , Mitchell Lewis , Rob Phillips

Sensory adaptation enables organisms to adjust their perception in a changing environment. A paradigm is bacterial chemotaxis, where the output activity of chemoreceptors is adapted to different baseline concentrations via receptor…

Cell Behavior · Quantitative Biology 2024-01-23 Vansh Kharbanda , Benedikt Sabass

Nonlinear coupling between inter- and intra-element dynamics appears as a collective behaviour of elements. The elements in this paper denote symptoms such as a bacterium having an internal network of genes and proteins, a reactive droplet,…

Physics and Society · Physics 2013-05-29 Dan Tanaka

This paper addresses the decomposition of biochemical networks into functional modules that preserve their dynamic properties upon interconnection with other modules, which permits the inference of network behavior from the properties of…

Molecular Networks · Quantitative Biology 2014-12-03 Hari Sivakumar , Stephen R. Proulx , João P. Hespanha

Oscillatory behavior is a key property of many biological systems. The Small-Gain Theorem (SGT) for input/output monotone systems provides a sufficient condition for global asymptotic stability of an equilibrium and hence its violation is a…

Quantitative Methods · Quantitative Biology 2007-05-23 David Angeli , Eduardo D. Sontag

In characterization of quantum systems, adapting measurement settings based on data while it is collected can generally outperform in efficiency conventional measurements that are carried out independently of data. The existing methods for…

Quantum Physics · Physics 2016-11-21 Markku P. V. Stenberg , Frank K. Wilhelm

Motivation: One of the branches of Systems Biology is focused on a deep understanding of underlying regulatory networks through the analysis of the biomolecules oscillations and their interplay. Synthetic Biology exploits gene or/and…

Molecular Networks · Quantitative Biology 2020-11-30 Francesco Bardozzo , Pietro Liò , Roberto Tagliaferri

Biological systems, from cells to organisms, must respond to the ever changing environment in order to survive and function. This is not a simple task given the often random nature of the signals they receive, as well as the intrinsically…

Quantitative Methods · Quantitative Biology 2015-07-09 Aleksandra M. Walczak

This paper presents the foundation for a decomposition theory for Boolean networks, a type of discrete dynamical system that has found a wide range of applications in the life sciences, engineering, and physics. Given a Boolean network…

Dynamical Systems · Mathematics 2022-06-10 Claus Kadelka , Reinhard Laubenbacher , David Murrugarra , Alan Veliz-Cuba , Matthew Wheeler
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