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Mathematical models of stem cell differentiation are commonly based upon the concept of subsequent cell fate decisions, each controlled by a gene regulatory network. These networks exhibit a multistable behavior and cause the system to…

Quantitative Methods · Quantitative Biology 2011-07-06 Christian Breindl , Daniella Schittler , Steffen Waldherr , Frank Allgöwer

Gene regulatory networks (GRNs) define the regulatory relationships among molecules such as transcription factors, chromatin remodelers, and target genes. GRNs play a critical role in diverse biological processes, including development,…

Molecular Networks · Quantitative Biology 2026-02-24 Junha Shin , Spencer Halberg-Spencer , Yuda Liu , Suvojit Hazra , Erika Da-Inn Lee , Sushmita Roy

Multipotent stem or progenitor cells undergo a sequential series of binary fate decisions, which ultimately generate the diversity of differentiated cells. Efforts to understand cell fate control have focused on simple gene regulatory…

Molecular Networks · Quantitative Biology 2009-09-15 David V. Foster , Jacob G. Foster , Sui Huang , Stuart A. Kauffman

Systemic properties of living cells are the result of molecular dynamics governed by so-called genetic regulatory networks (GRN). These networks capture all possible features of cells and are responsible for the immense levels of adaptation…

Molecular Networks · Quantitative Biology 2015-06-04 Rudolf Hanel , Manfred Pöchacker , Manuel Schölling , Stefan Thurner

Predicting genetic perturbations enables the identification of potentially crucial genes prior to wet-lab experiments, significantly improving overall experimental efficiency. Since genes are the foundation of cellular life, building gene…

Quantitative Methods · Quantitative Biology 2025-05-09 Changxi Chi , Jun Xia , Jingbo Zhou , Jiabei Cheng , Chang Yu , Stan Z. Li

Genetic and environmental perturbation experiments have been used to study microbes in a bid to gain insight into transcriptional regulation, adaptive evolution, and other cellular dynamics. These studies have potential in enabling rational…

Molecular Networks · Quantitative Biology 2017-01-11 Tolutola Oyetunde , Jeffrey Czajka , Gang Wu , Cynthia Lo , Yinjie Tang

Discrete gene regulatory networks (GRNs) play a vital role in the study of robustness and modularity. A common method of evaluating the robustness of GRNs is to measure their ability to regulate a set of perturbed gene activation patterns…

Neural and Evolutionary Computing · Computer Science 2021-12-14 Zhenyue Qin , Tom Gedeon , Bob McKay

The diversity of expressed genes plays a critical role in cellular specialization, adaptation to environmental changes, and overall cell functionality. This diversity varies dramatically across cell types and is orchestrated by intricate,…

Biological Physics · Physics 2023-11-28 Orr Levy , Shubham Tripathi , Scott D. Pope , Yang Y. Liu , Ruslan Medzhitov

We study a genetic regulatory network model developed to demonstrate that genetic robustness can evolve through stabilizing selection for optimal phenotypes. We report preliminary results on whether such selection could result in a…

Molecular Networks · Quantitative Biology 2010-12-07 Volkan Sevim , Per Arne Rikvold

Stem cell regeneration is a vital biological process in self-renewing tissues, governing development and tissue homeostasis. Gene regulatory network dynamics are pivotal in controlling stem cell regeneration and cell type transitions.…

Molecular Networks · Quantitative Biology 2024-04-19 Yakun Li , Xiyin Liang , Jinzhi Lei

The evolutionary origins of structural features in reconstructed gene-regulatory networks (GRNs) remain poorly understood, especially given the random aspects of gene expression. Here, we extend a classical model of GRN evolution to allow a…

Populations and Evolution · Quantitative Biology 2026-04-30 Leonardo Ivan Estrella Dzib , James Holehouse

Whereas the relationship between criticality of gene regulatory networks (GRNs) and dynamics of GRNs at a single cell level has been vigorously studied, the relationship between the criticality of GRNs and system properties at a higher…

Molecular Networks · Quantitative Biology 2018-01-29 Hyobin Kim , Hiroki Sayama

Structural and dynamical fingerprints of evolutionary optimization in biological networks are still unclear. We here analyze the dynamics of genetic regulatory networks responsible for the regulation of cell cycle and cell differentiation…

Molecular Networks · Quantitative Biology 2016-06-22 N. Aral , A. Kabakcioglu

Gene regulatory networks (GRNs) play a central role in cellular decision-making. Understanding their structure and how it impacts their dynamics constitutes thus a fundamental biological question. GRNs are frequently modeled as Boolean…

Molecular Networks · Quantitative Biology 2024-01-19 Claus Kadelka , Taras-Michael Butrie , Evan Hilton , Jack Kinseth , Addison Schmidt , Haris Serdarevic

Gene regulatory networks (GRNs) are complex systems in which many genes regulate mutually to adapt the cell state to environmental conditions. In addition to function, the GRNs possess several kinds of robustness. This robustness means that…

Molecular Networks · Quantitative Biology 2023-12-05 Shintaro Nagata , Macoto Kikuchi

Modeling gene regulatory networks (GRNs) is an important topic in systems biology. Although there has been much work focusing on various specific systems, the generic behavior of GRNs with continuous variables is still elusive. In…

Molecular Networks · Quantitative Biology 2014-04-23 Zhiyuan Li , Simone Bianco , Zhaoyang Zhang , Chao Tang

We propose a new deterministic methodology to predict RNA sequence and protein folding. Is stem enough for structure prediction? The main idea is to consider all possible stem formation in the given sequence. With the stem loop energy and…

Discrete Mathematics · Computer Science 2022-01-19 Mengyi Tang , Kumbit Hwang , Sung Ha Kang

Genetic regulation is a key component in development, but a clear understanding of the structure and dynamics of genetic networks is not yet at hand. In this work we investigate these properties within an artificial genome model originally…

Molecular Networks · Quantitative Biology 2008-05-01 Thimo Rohlf , Chris Winkler

Understanding cell fate selection remains a central challenge in developmental biology. We present a class of simple yet biologically-motivated mathematical models for cell differentiation that generically generate oscillations and hence…

Dynamical Systems · Mathematics 2021-10-08 Saeed Farjami , Karen Camargo Sosa , Jonathan H. P. Dawes , Robert N. Kelsh , Andrea Rocco

Genes communicate with each other through different regulatory effects, which lead to the emergence of complex structures in cells, and such structures are expected to be different for normal and cancerous cells. To study breast cancer…

Molecular Networks · Quantitative Biology 2020-10-13 Abbas Karimi Rizi , Mina Zamani , Amirhossein Shirazi , G. Reza Jafari , János Kertész
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