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Cells use genetic switches to shift between alternate stable gene expression states, e.g., to adapt to new environments or to follow a developmental pathway. Conceptually, these stable phenotypes can be considered as attractive states on an…

Molecular Networks · Quantitative Biology 2021-06-18 Michael Assaf , Shay Be'er , Elijah Roberts

We propose a physical model for developmental process at cellular level to discuss the mechanism of epigenetic landscape. In our simplified model, a minimal model, the network of the interaction among cells generates the landscape…

Cell Behavior · Quantitative Biology 2014-02-04 Motoki Nakagawa , Osamu Narikiyo

Cell fate decisions emerge as a consequence of a complex set of gene regulatory networks. Models of these networks are known to have more parameters than data can determine. Recent work, inspired by Waddington's metaphor of a landscape, has…

Quantitative Methods · Quantitative Biology 2023-05-08 Archishman Raju , Eric D. Siggia

Maintaining tissue homeostasis requires appropriate regulation of stem cell differentiation. The Waddington landscape posits that gene circuits in a cell form a potential landscape of different cell types, wherein cells follow attractors of…

Quantitative Methods · Quantitative Biology 2023-09-15 Rongsheng Huang , Qiaojun Situ , Jinzhi Lei

An adult human body is made up of some 30 to 40 trillion cells, all of which stem from a single fertilized egg cell. The process by which the right cells appear to arrive in their right numbers at the right time at the right place --…

Subcellular Processes · Quantitative Biology 2024-12-20 Sean T. Vittadello , Léo Diaz , Yujing Liu , Adriana Zanca , Michael P. H. Stumpf

Cells can often choose among several stably heritable phenotypes. Examples are the expression of genes in eukaryotic cells where long chromosomal regions can adopt persistent and heritable silenced or active states, that may be associated…

Molecular Networks · Quantitative Biology 2015-05-18 Mille A. Micheelsen , Namiko Mitarai , Kim Sneppen , Ian. B. Dodd

Reprogramming is a process of transforming differentiated cells into pluripotent stem cells by inducing specific modifying factors in the cells. Reprogramming is a non-equilibrium process involving a collaboration at levels separated by…

Molecular Networks · Quantitative Biology 2014-10-13 S. S. Ashwin , Masaki Sasai

How do mammalian cells that share the same genome exist in notably distinct phenotypes, exhibiting differences in morphology, gene expression patterns, and epigenetic chromatin statuses? Furthermore how do cells of different phenotypes…

Molecular Networks · Quantitative Biology 2014-04-29 Ping Wang , Chaoming Song , Hang Zhang , Zhanghan Wu , Jianhua Xing

Epigenetics is most often reduced to chromatin marking in the current literature, whereas this notion was initially defined in a more general context. This restricted view ignores that epigenetic memories are in fact more robustly ensured…

Molecular Networks · Quantitative Biology 2016-09-28 Floriane Nicol-Benoit , Pascale le Goff , Denis Michel

Understanding how gene regulatory networks (GRNs) give rise to stable and dynamic cellular states remains a central challenge in theoretical biology, particularly when slow epigenetic feedback reshapes the underlying regulatory landscape.…

Molecular Networks · Quantitative Biology 2026-04-15 Sascha H. Hauck , Sandip Saha , Narsis A. Kiani , Jesper N. Tegner

In higher organisms, all cells share the same genome, but every cell expresses only a limited and specific set of genes that defines the cell type. During cell division, not only the genome, but also the cell type is inherited by the…

To celebrate Hans Frauenfelder's achievements, we examine energy(-like) "landscapes" for complex living systems. Energy landscapes summarize all possible dynamics of some physical systems. Energy(-like) landscapes can explain some…

Quantitative Methods · Quantitative Biology 2021-10-18 Lars Koopmans , Hyun Youk

The complexity of gene regulatory networks in multicellular organisms makes interpretable low-dimensional models highly desirable. An attractive geometric picture, attributed to Waddington, visualizes the differentiation of a cell into…

Biological Physics · Physics 2024-12-12 Gautam Reddy

In multicellular organisms, cells differentiate into several distinct types during early development. Determination of each cellular state, along with the ratio of each cell type, as well as the developmental course during cell…

Molecular Networks · Quantitative Biology 2020-05-06 Yuuki Matsushita , Kunihiko Kaneko

Embryonic development leads to the reproducible and ordered appearance of complexity from egg to adult. The successive differentiation of different cell types, that elaborates this complexity, result from the activity of gene networks and…

Quantitative Methods · Quantitative Biology 2022-05-11 David A. Rand , Archishman Raju , Meritxell Saez , Francis Corson , Eric D. Siggia

Multicellular organisms contain a wide variety of highly specialized cell types. The consistency and robustness of developmental trajectories suggest that complex gene regulatory networks effectively act as low-dimensional cell fate…

Cell Behavior · Quantitative Biology 2026-05-28 Maria Yampolskaya , Laertis Ikonomou , Pankaj Mehta

These notes introduce probabilistic landscape models defined on high-dimensional discrete sequence spaces. The models are motivated primarily by fitness landscapes in evolutionary biology, but links to statistical physics and computer…

Populations and Evolution · Quantitative Biology 2025-12-24 Sakshi Pahujani , Joachim Krug

Morphogenesis is the biological process that causes the emergence and changes of patterns (tissues and organs) in living organisms. It is a robust, self-organising mechanism, governed by Genetic Regulatory Networks (GRN), that hasn't been…

Molecular Networks · Quantitative Biology 2026-03-17 Yuriria Cortes-Poza , J. Rogelio Perez-Buendia

Gene regulatory network (GRN) modeling is a well-established theoretical framework for the study of cell-fate specification during developmental processes. Recently, dynamical models of GRNs have been taken as a basis for formalizing the…

Molecular Networks · Quantitative Biology 2015-10-15 Jose Davila-Velderrain , Luis Juarez-Ramiro , Juan C. Martinez-Garcia , Elena R. Alvarez-Buylla

Development combines three basic processes asymmetric --- cell division, signaling and gene regulation --- in a multitude of ways to create an overwhelming diversity of multicellular life-forms. Here, we attempt to chart this diversity…

Molecular Networks · Quantitative Biology 2020-01-01 Somya Mani , Tsvi Tlusty
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