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The problem of controlling the mean and the variance of a species of interest in a simple gene expression is addressed. It is shown that the protein mean level can be globally and robustly tracked to any desired value using a simple PI…

Optimization and Control · Mathematics 2020-04-24 Corentin Briat , Mustafa Khammash

This paper presents an intracellular feedback control strategy, to regulate the gene expression process dynamics. For this purpose, two types of genetic circuits are designed in order to compare concentrations of the input transcription…

Systems and Control · Computer Science 2016-06-15 Jafar Kazemi , Sadjad Ozgoli

Stochasticity in gene expression can result in fluctuations in gene product levels. Recent experiments indicated that feedback regulation plays an important role in controlling the noise in gene expression. A quantitative understanding of…

Molecular Networks · Quantitative Biology 2019-12-11 Zihao Wang , Zhenquan Zhang , Tianshou Zhou

An important occurrence in many cellular contexts is the crossing of a prescribed threshold by a regulatory protein. The timing of such events is stochastic as a consequence of the innate randomness in gene expression. A question of…

Molecular Networks · Quantitative Biology 2017-02-24 Khem Raj Ghusinga , Abhyudai Singh

We study the optimal control of multiple-input and multiple-output dynamical systems via the design of neural network-based controllers with stability and output tracking guarantees. While neural network-based nonlinear controllers have…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

This paper analyzes, in the context of a prokaryotic cell, the stochastic variability of the number of proteins when there is a control of gene expression by an autoregulation scheme. The goal of this work is to estimate the efficiency of…

Molecular Networks · Quantitative Biology 2016-07-15 Renaud Dessalles , Vincent Fromion , Philippe Robert

Inside individual cells, expression of genes is stochastic across organisms ranging from bacterial to human cells. A ubiquitous feature of stochastic expression is burst-like synthesis of gene products, which drives considerable…

Molecular Networks · Quantitative Biology 2016-09-13 Pavol Bokes , Abhyudai Singh

We consider distributed control of double-integrator networks, where agents are subject to stochastic disturbances. We study performance of such networks in terms of coherence, defined through an H2 norm metric that represents the variance…

Optimization and Control · Mathematics 2017-05-19 Emma Tegling , Henrik Sandberg

The intrinsic stochasticity of gene expression can lead to large variability of protein levels across a population of cells. Variability (or noise) in protein distributions can be modulated by cellular mechanisms of gene regulation; in…

Molecular Networks · Quantitative Biology 2011-03-02 Tao Jia , Rahul V. Kulkarni

Feedback in cellular processes is typically inferred through cellular responses to experimental perturbations. Modular response analysis provides a theoretical framework for translating specific perturbations into feedback sensitivities…

Molecular Networks · Quantitative Biology 2025-05-09 Seshu Iyengar , Andreas Hilfinger

Regulatory genes called small RNAs (sRNAs) are known to play critical roles in cellular responses to changing environments. For several sRNAs, regulation is effected by coupled stoichiometric degradation with messenger RNAs (mRNAs). The…

Biological Physics · Physics 2015-05-27 Thierry Platini , Tao Jia , Rahul V. Kulkarni

Stochasticity in gene expression can give rise to fluctuations in protein levels and lead to phenotypic variation across a population of genetically identical cells. Recent experiments indicate that bursting and feedback mechanisms play…

Molecular Networks · Quantitative Biology 2015-06-22 Niraj Kumar , Thierry Platini , Rahul V. Kulkarni

This paper considers the problem of temperature regulation in multicore processors by dynamic voltage-frequency scaling. We propose a feedback law that is based on an integral controller with adjustable gain, designed for fast tracking…

Optimization and Control · Mathematics 2016-11-18 Karthik Rao , William Song , Sudhakar Yalamanchili , Yorai Wardi

Gene expression is a fundamental process in a living system. The small RNAs (sRNAs) is widely observed as a global regulator in gene expression. The inherent nonlinearity in this regulatory process together with the bursty production of…

Molecular Networks · Quantitative Biology 2021-10-12 Shigang Qiu , Tao Jia

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

A detailed stochastic model of single-gene auto-regulation is established and its solutions are explored when mRNA dynamics is fast compared with protein dynamics and in the opposite regime. The model includes all the sources of randomness…

Biological Physics · Physics 2015-06-03 Tomás Aquino , Elsa Abranches , Ana Nunes

Stochastic kinetic models of genetic expression are able to describe protein fluctuations. A comparative study of the canonical and a feedback model is given here by using stochastic simulation methods. The feedback model is skeleton model…

Molecular Networks · Quantitative Biology 2018-09-06 Raoul R. Wadhwa , Laszlo Zalanyi , Judit Szente , Laszlo Negyessy , Peter Erdi

Principles of feedback control have been shown to naturally arise in biological systems and successfully applied to build synthetic circuits. In this work we consider Biochemical Reaction Networks (CRNs) as a paradigm for modelling…

Systems and Control · Computer Science 2019-03-26 Max Whitby , Luca Cardelli , Marta Kwiatkowska , Luca Laurenti , Mirco Tribastone , Max Tschaikowski

Feedback control is an essential component of many modern technologies and provides a key capability for emergent quantum technologies. We extend existing approaches of direct feedback control in which the controller applies a function…

Quantum Physics · Physics 2020-12-15 Hui Chen , Hanhan Li , Felix Motzoi , Leigh S. Martin , K. Birgitta Whaley , Mohan Sarovar

Cell phenotype dynamic homeostasis contrasts with the inherent randomness of intracellular reactions. Although feedback control of master regulatory genes (MRG) is a key strategy for maintaining gene network expression ranges limited,…

Molecular Networks · Quantitative Biology 2025-08-13 Guilherme Giovanini , Cyro von Zuben de Valega Negrão , Ammar Alsinai , Alexandre Ferreira Ramos
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