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This paper discusses the interplay of symmetries and stability in the analysis and control of nonlinear dynamical systems and networks. Specifically, it combines standard results on symmetries and equivariance with recent convergence…

Dynamical Systems · Mathematics 2015-05-20 Giovanni Russo , Jean-Jacques E. Slotine

A wealth of new research has highlighted the critical roles of small RNAs (sRNAs) in diverse processes such as quorum sensing and cellular responses to stress. The pathways controlling these processes often have a central motif comprising…

Molecular Networks · Quantitative Biology 2015-05-27 Charles Baker , Tao Jia , Rahul V. Kulkarni

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

MicroRNAs (miRNAs) are endogenous 22-nucleotide RNAs, which suppress gene expression by selectively binding to the 3-noncoding region of specific message RNAs through base-pairing. Given the diversity and abundance of miRNA targets, miRNAs…

Molecular Networks · Quantitative Biology 2007-05-23 Qinghua Cui , Zhenbao Yu , Enrico O. Purisima , Edwin Wang

As deep neural network (NN) methods have matured, there has been increasing interest in deploying NN solutions to "edge computing" platforms such as mobile phones or embedded controllers. These platforms are often resource-constrained,…

Machine Learning · Computer Science 2019-05-31 Jesse Hostetler

This paper aims to discuss and analyze the potentialities of Recurrent Neural Networks (RNN) in control design applications. The main families of RNN are considered, namely Neural Nonlinear AutoRegressive eXogenous, (NNARX), Echo State…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Fabio Bonassi , Marcello Farina , Jing Xie , Riccardo Scattolini

This paper proposes a Recurrent Neural Network (RNN) controller for lane-keeping systems, effectively handling model uncertainties and disturbances. First, quadratic constraints cover the nonlinearities brought by the RNN controller, and…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Ying Shuai Quan , Jin Sung Kim , Chung Choo Chung

Dynamical systems in biology are complex, and one often does not have comprehensive knowledge about the interactions involved. Chemical reaction network (CRN) inference aims to identify, from observing species concentrations over time, the…

Methodology · Statistics 2026-04-15 Yong See Foo , Adriana Zanca , Jennifer A. Flegg , Ivo Siekmann

Gene regulatory networks typically have low in-degrees, whereby any given gene is regulated by few of the genes in the network. What mechanisms might be responsible for these low in-degrees? Starting with an accepted framework of the…

Molecular Networks · Quantitative Biology 2009-10-22 Z. Burda , A. Krzywicki , O. C. Martin , M. Zagorski

Pre-mRNA splicing relies on the poorly understood dynamic interplay between >150 protein components of the spliceosome. The steps at which splicing can be regulated remain largely unknown. We systematically analyzed the effect of knocking…

Molecular Networks · Quantitative Biology 2015-01-19 Panagiotis Papasaikas , J. Ramon Tejedor , Luisa Vigevani , Juan Valcarcel

The ribosomal density along the coding region of the mRNA molecule affect various fundamental intracellular phenomena including: protein production rates, organismal fitness, ribosomal drop off, and co-translational protein folding. Thus,…

Genomics · Quantitative Biology 2017-05-19 Yoram Zarai , Michael Margaliot , Eduardo D. Sontag , Tamir Tuller

Neurons communicate with downstream systems via sparse and incredibly brief electrical pulses, or spikes. Using these events, they control various targets such as neuromuscular units, neurosecretory systems, and other neurons in connected…

Neurons and Cognition · Quantitative Biology 2026-03-17 Paolo Agliati , André Urbano , Pablo Lanillos , Nasir Ahmad , Marcel van Gerven , Sander Keemink

Inferring functional relationships within complex networks from static snapshots of a subset of variables is a ubiquitous problem in science. For example, a key challenge of systems biology is to translate cellular heterogeneity data…

Molecular Networks · Quantitative Biology 2024-08-09 Euan Joly-Smith , Zitong Jerry Wang , Andreas Hilfinger

Complex dynamical systems are often modeled as networks, with nodes representing dynamical units which interact through the network's links. Gene regulatory networks, responsible for the production of proteins inside a cell, are an example…

Statistical Mechanics · Physics 2009-09-30 Zoran Levnajić

Identifying the nodes that have the potential to influence the state of a network is a relevant question for many complex systems. In many applications it is often essential to test the ability of an individual node to control a specific…

Molecular Networks · Quantitative Biology 2020-12-08 Giulia Bassignana , Jennifer Fransson , Vincent Henry , Olivier Colliot , Violetta Zujovic , Fabrizio De Vico Fallani

The question of controllability of natural and man-made network systems has recently received considerable attention. In the context of the human brain, the study of controllability may not only shed light into the organization and function…

Optimization and Control · Mathematics 2021-02-10 Tommaso Menara , Shi Gu , Danielle S. Bassett , Fabio Pasqualetti

We advance our approach of analyzing the dynamics of interacting complex systems with the nonlinear dynamics of interacting nonlinear elements. We replace the widely used lattice-like connection topology of cellular neural networks (CNN) by…

Neurons and Cognition · Quantitative Biology 2016-10-10 Henning Dickten , Christian E. Elger , Klaus Lehnertz

Robust control theory has been successfully applied to numerous real-world problems using a small set of devices called {\it controllers}. However, the real systems represented by networks contain unreliable components and modern robust…

Physics and Society · Physics 2015-06-23 Jose C. Nacher , Tatsuya Akutsu

Distributed software-defined networks (SDN), consisting of multiple inter-connected network domains, each managed by one SDN controller, is an emerging networking architecture that offers balanced centralized control and distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-13 Ziyao Zhang , Liang Ma , Kin K. Leung , Franck Le , Sastry Kompella , Leandros Tassiulas

Networks of the brain are composed of a very large number of neurons connected through a random graph and interacting after random delays that both depend on the anatomical distance between cells. In order to comprehend the role of these…

Mathematical Physics · Physics 2014-05-16 Cristobal Quininao , Jonathan Touboul