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An incoherent feed-forward loop (IFFL) is a network motif known for its ability to accelerate responses and generate pulses. Though functions of IFFLs are well studied, most previous computational analysis of IFFLs used ordinary…

Molecular Networks · Quantitative Biology 2020-09-29 Junmin Wang , Calin Belta , Samuel A. Isaacson

This note analyzes incoherent feedforward loops in signal processing and control. It studies the response properties of IFFL's to exponentially growing inputs, both for a standard version of the IFFL and for a variation in which the output…

Systems and Control · Computer Science 2016-02-02 Eduardo D. Sontag

Feed-forward dynamics, which is well-known to have several important implications in nonlinear dynamical systems, frequently occurs in gene expression motifs, and has been well explored experimentally and mathematically. However, dependency…

Molecular Networks · Quantitative Biology 2024-01-09 Priya Chakraborty , Ushasi Roy , Sayantari Ghosh

We present a theoretical formalism to study steady state information transmission in type 1 coherent feed-forward loop motif with an additive signal integration mechanism. Our construct allows a two-step cascade to be slowly transformed…

Molecular Networks · Quantitative Biology 2020-02-19 Md Sorique Aziz Momin , Ayan Biswas , Suman K Banik

Feed-forward loops (FFLs) are among the most ubiquitously found motifs of reaction networks in nature. However, little is known about their stochastic behavior and the variety of network phenotypes they can exhibit. In this study, we…

Molecular Networks · Quantitative Biology 2021-04-08 Anna Terebus , Farid Manuchehrfar , Youfang Cao , Jie Liang

Representation of intracellular signaling networks as directed graphs allows for the identification of regulatory motifs. Regulatory motifs are groups of nodes with the same connectivity structure, capable of processing information. The…

Molecular Networks · Quantitative Biology 2009-11-13 Azi Lipshtat , Sudarshan P. Purushothaman , Ravi Iyengar , Avi Ma'ayan

In complex systems, the interplay between network structure and noise often leads to emergent phenomena. This study explores the effects of uneven coupling and asymmetric noise on the dynamics of feed-forward loop (FFL) motifs, essential…

Dynamical Systems · Mathematics 2023-10-05 Gurpreet Jagdev , Na Yu

The Forward-Forward Learning (FFL) algorithm is a recently proposed solution for training neural networks without needing memory-intensive backpropagation. During training, labels accompany input data, classifying them as positive or…

Machine Learning · Computer Science 2024-05-22 Ali Karkehabadi , Houman Homayoun , Avesta Sasan

The activation/repression of a given gene is typically regulated by multiple transcription factors (TFs) that bind at the gene regulatory region and recruit RNA polymerase (RNAP). The interactions between the promoter region and TFs and…

Molecular Networks · Quantitative Biology 2009-07-14 Herbert Sauro , Song Yang

Feedback is ubiquitous in both biological and engineered control systems. In biology, in addition to typical feedback between plant and controller, we observe feedback pathways within control systems, which we call internal feedback…

Networks are abundant in biological systems. Small sized over-represented network motifs have been discovered, and it has been suggested that these constitute functional building blocks. We ask whether larger dynamical network motifs exist…

Neural and Evolutionary Computing · Computer Science 2018-09-25 C. H. Huck Yang , Rise Ooi , Tom Hiscock , Victor Eguiluz , Jesper Tegnér

Network motifs, the recurring regulatory structural patterns in networks, are able to self-organize to produce networks. Three major motifs, feedforward loop, single input modules and bi-fan are found in gene regulatory networks. The large…

Molecular Networks · Quantitative Biology 2007-05-23 Edwin Wang , Enrico Purisima

We study the monotonicity of the cumulative dose response (cDR) for a class of incoherent feedforward motifs (IFFM) systems with linear intermediate dynamics and nonlinear output dynamics. While the instantaneous dose response (DR) may be…

Dynamical Systems · Mathematics 2026-05-18 Moh Kamalul Wafi , Arthur C. B. de Oliveira , Eduardo D. Sontag

Biological systems encode function not primarily in steady states, but in the structure of transient responses elicited by time-varying stimuli. Overshoots, biphasic dynamics, adaptation kinetics, fold-change detection, entrainment, and…

Quantitative Methods · Quantitative Biology 2026-01-05 Eduardo D. Sontag

Gene regulatory networks arise in all living cells, allowing the control of gene expression patterns. The study of their topology has revealed that certain subgraphs of interactions or "motifs" appear at anomalously high frequencies. We ask…

Molecular Networks · Quantitative Biology 2015-03-19 Z. Burda , A. Krzywicki , O. C. Martin , M. Zagorski

Neural architectures in organisms support efficient and robust control that is beyond the capability of engineered architectures. Unraveling the function of such architectures is challenging; their components are highly diverse and…

Systems and Control · Electrical Eng. & Systems 2022-04-07 Josefin Stenberg , Jing Shuang Li , Anish A. Sarma , John C. Doyle

In this work, we describe a computational framework for the genome-wide identification and characterization of mixed transcriptional/post-transcriptional regulatory circuits in humans. We concentrated in particular on feed-forward loops…

Genomics · Quantitative Biology 2009-07-24 Angela Re , Davide Cora' , Daniela Taverna , Michele Caselle

Fast feedforward networks (FFFs) are a class of neural networks that exploit the observation that different regions of the input space activate distinct subsets of neurons in wide networks. FFFs partition the input space into separate…

Feed-forward neural networks consist of a sequence of layers, in which each layer performs some processing on the information from the previous layer. A downside to this approach is that each layer (or module, as multiple modules can…

Machine Learning · Computer Science 2020-10-19 Alex Lamb , Anirudh Goyal , Agnieszka Słowik , Michael Mozer , Philippe Beaudoin , Yoshua Bengio

The so-called Mixed Feedback Loop (MFL) is a small two-gene network where protein A regulates the transcription of protein B and the two proteins form a heterodimer. It has been found to be statistically over-represented in statistical…

Molecular Networks · Quantitative Biology 2009-11-11 Paul Francois , Vincent Hakim
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