An enhanced transcription factor repressilator that buffers stochasticity and entrains to an erratic external circadian signal

How do cellular regulatory networks solve the challenges of life? This article presents computer software to study that question, focusing on how transcription factor networks transform internal and external inputs into cellular response outputs. The example challenge concerns maintaining a circadia...

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Main Author: Steven A. Frank
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-12-01
Series:Frontiers in Systems Biology
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fsysb.2023.1276734/full
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author Steven A. Frank
author_facet Steven A. Frank
author_sort Steven A. Frank
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description How do cellular regulatory networks solve the challenges of life? This article presents computer software to study that question, focusing on how transcription factor networks transform internal and external inputs into cellular response outputs. The example challenge concerns maintaining a circadian rhythm of molecular concentrations. The system must buffer intrinsic stochastic fluctuations in molecular concentrations and entrain to an external circadian signal that appears and disappears randomly. The software optimizes a stochastic differential equation of transcription factor protein dynamics and the associated mRNAs that produce those transcription factors. The cellular network takes as inputs the concentrations of the transcription factors and produces as outputs the transcription rates of the mRNAs that make the transcription factors. An artificial neural network encodes the cellular input-output function, allowing efficient search for solutions to the complex stochastic challenge. Several good solutions are discovered, measured by the probability distribution for the tracking deviation between the stochastic cellular circadian trajectory and the deterministic external circadian pattern. The solutions differ significantly from each other, showing that overparameterized cellular networks may solve a given challenge in a variety of ways. The computation method provides a major advance in its ability to find transcription factor network dynamics that can solve environmental challenges. The article concludes by drawing an analogy between overparameterized cellular networks and the dense and deeply connected overparameterized artificial neural networks that have succeeded so well in deep learning. Understanding how overparameterized networks solve challenges may provide insight into the evolutionary design of cellular regulation.
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spelling doaj.art-3163b536733842ad8de1f84ba4ff47952023-12-13T05:11:45ZengFrontiers Media S.A.Frontiers in Systems Biology2674-07022023-12-01310.3389/fsysb.2023.12767341276734An enhanced transcription factor repressilator that buffers stochasticity and entrains to an erratic external circadian signalSteven A. FrankHow do cellular regulatory networks solve the challenges of life? This article presents computer software to study that question, focusing on how transcription factor networks transform internal and external inputs into cellular response outputs. The example challenge concerns maintaining a circadian rhythm of molecular concentrations. The system must buffer intrinsic stochastic fluctuations in molecular concentrations and entrain to an external circadian signal that appears and disappears randomly. The software optimizes a stochastic differential equation of transcription factor protein dynamics and the associated mRNAs that produce those transcription factors. The cellular network takes as inputs the concentrations of the transcription factors and produces as outputs the transcription rates of the mRNAs that make the transcription factors. An artificial neural network encodes the cellular input-output function, allowing efficient search for solutions to the complex stochastic challenge. Several good solutions are discovered, measured by the probability distribution for the tracking deviation between the stochastic cellular circadian trajectory and the deterministic external circadian pattern. The solutions differ significantly from each other, showing that overparameterized cellular networks may solve a given challenge in a variety of ways. The computation method provides a major advance in its ability to find transcription factor network dynamics that can solve environmental challenges. The article concludes by drawing an analogy between overparameterized cellular networks and the dense and deeply connected overparameterized artificial neural networks that have succeeded so well in deep learning. Understanding how overparameterized networks solve challenges may provide insight into the evolutionary design of cellular regulation.https://www.frontiersin.org/articles/10.3389/fsysb.2023.1276734/fullgenetic regulatory networkstranscription factorsoptimizationdifferential equation modelsartificial neural networksautomatic differentiation
spellingShingle Steven A. Frank
An enhanced transcription factor repressilator that buffers stochasticity and entrains to an erratic external circadian signal
Frontiers in Systems Biology
genetic regulatory networks
transcription factors
optimization
differential equation models
artificial neural networks
automatic differentiation
title An enhanced transcription factor repressilator that buffers stochasticity and entrains to an erratic external circadian signal
title_full An enhanced transcription factor repressilator that buffers stochasticity and entrains to an erratic external circadian signal
title_fullStr An enhanced transcription factor repressilator that buffers stochasticity and entrains to an erratic external circadian signal
title_full_unstemmed An enhanced transcription factor repressilator that buffers stochasticity and entrains to an erratic external circadian signal
title_short An enhanced transcription factor repressilator that buffers stochasticity and entrains to an erratic external circadian signal
title_sort enhanced transcription factor repressilator that buffers stochasticity and entrains to an erratic external circadian signal
topic genetic regulatory networks
transcription factors
optimization
differential equation models
artificial neural networks
automatic differentiation
url https://www.frontiersin.org/articles/10.3389/fsysb.2023.1276734/full
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