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Luminogenesis, the formation of a fluid-filled cavity (lumen), is an essential process in early mammalian embryonic development, coinciding with the second cell-fate decision that differentiates the inner-cell-mass (ICM) into epiblast (EPI)…

Quantitative Methods · Quantitative Biology 2025-05-30 Michael A. Ramirez-Sierra , Thomas R. Sokolowski

Model parameter inference is a universal problem across science. This challenge is particularly pronounced in developmental biology, where faithful mechanistic descriptions require spatial-stochastic models with numerous parameters, yet…

Biological Physics · Physics 2024-07-16 Michael A. Ramirez-Sierra , Thomas R. Sokolowski

Cellular differentiation is governed by gene regulatory networks, the high-dimensional stochastic biochemical systems that determine the transcriptional landscape and mediate cellular responses to signals and perturbations. Although…

Molecular Networks · Quantitative Biology 2026-04-29 Suryanarayana Maddu , Victor Chardès , Michael J. Shelley

Stochastic models of biochemical reaction networks are widely used to capture intrinsic noise in cellular systems. The typical formulation of these models are based on Markov processes for which there is extensive research on efficient…

Molecular Networks · Quantitative Biology 2025-12-03 Thomas P. Steele , David J. Warne

Stochasticity is a key characteristic of intracellular processes such as gene regulation and chemical signalling. Therefore, characterising stochastic effects in biochemical systems is essential to understand the complex dynamics of living…

Molecular Networks · Quantitative Biology 2019-03-04 David J. Warne , Ruth E. Baker , Matthew J. Simpson

Cells exhibit a wide variety of different shapes. This diversity poses a challenge for computational approaches that attempt to shed light on the role cell geometry plays in regulating cell physiology and behavior. The simulation platform…

Quantitative Methods · Quantitative Biology 2020-03-31 Thorsten Prüstel , Martin Meier-Schellersheim

We propose a modelling framework to analyse the stochastic behaviour of heterogeneous, multi-scale cellular populations. We illustrate our methodology with a particular example in which we study a population with an oxygen-regulated…

Biological Physics · Physics 2017-09-01 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón

In the infectious disease literature, significant effort has been devoted to studying dynamics at a single scale. For example, compartmental models describing population-level dynamics are often formulated using differential equations. In…

Populations and Evolution · Quantitative Biology 2025-04-16 Yuan Yin , Jennifer A. Flegg , Mark B. Flegg

The process controlling the diferentiation of stem, or progenitor, cells into one specific functional direction is called lineage specification. An important characteristic of this process is the multi-lineage priming, which requires the…

Quantitative Methods · Quantitative Biology 2013-04-09 M. Andrecut

Cell proliferation and cell movement are fundamentally stochastic processes which lead to variability in the growth and spatial structure of cell populations in many biological settings, such as cell invasion, wound healing, and tumour…

Cell Behavior · Quantitative Biology 2026-04-23 John Carlo Dimaculangan , Cameron A. Smith , Christian A. Yates

Self-organization is a fundamental process of complex biological systems, particularly during the early stages of development. In the mammalian embryo, blastocyst formation exemplifies a self-organized system, involving the correct…

Quantitative Methods · Quantitative Biology 2025-05-30 Michael A. Ramirez-Sierra , Thomas R. Sokolowski

Stochastic kinetic models describe systems across biology, chemistry, and physics where discrete events and small populations render deterministic approximations inadequate. Parameter inference and inverse design in these systems require…

Computational Physics · Physics 2026-03-06 Francesco Mottes , Qian-Ze Zhu , Michael P. Brenner

Multicellular tissues are the building blocks of many biological systems and organs. These tissues are not static, but dynamically change over time. Even if the overall structure remains the same there is a turnover of cells within the…

Tissues and Organs · Quantitative Biology 2021-02-12 Domenic P. J. Germano , James M. Osborne

We present an algorithm for the stochastic simulation of gene expression and heterogeneous population dynamics. The algorithm combines an exact method to simulate molecular-level fluctuations in single cells and a constant-number Monte…

Computational Physics · Physics 2016-08-24 Daniel A. Charlebois , Jukka Intosalmi , Dawn Fraser , Mads Kaern

Mechanistic, multicellular, agent-based models are commonly used to investigate tissue, organ, and organism-scale biology at single-cell resolution. The Cellular-Potts Model (CPM) is a powerful and popular framework for developing and…

Quantitative Methods · Quantitative Biology 2025-10-24 Tien Comlekoglu , J. Quetzalcoatl Toledo-Marín , Douglas W. DeSimone , Shayn M. Peirce , Geoffrey Fox , James A. Glazier

With recent and rapid advancements in artificial intelligence (AI), understanding the foundation of purposeful behaviour in autonomous agents is crucial for developing safe and efficient systems. While artificial neural networks have…

Artificial Intelligence · Computer Science 2025-08-12 Aswin Paul , Moein Khajehnejad , Forough Habibollahi , Brett J. Kagan , Adeel Razi

Statistical and mathematical modeling are crucial to describe, interpret, compare and predict the behavior of complex biological systems including the organization of hematopoietic stem and progenitor cells in the bone marrow environment.…

Quantitative Methods · Quantitative Biology 2018-09-07 Walter de Back , Thomas Zerjatke , Ingo Roeder

Cellular transformations which involve a significant phenotypical change of the cell's state use bistable biochemical switches as underlying decision systems. In this work, we aim at linking cellular decisions taking place on a time scale…

Cell Behavior · Quantitative Biology 2010-05-11 Steffen Waldherr , Jingbo Wu , Frank Allgöwer

Stochastic simulation has been a powerful tool for studying the dynamics of gene regulatory networks, particularly in terms of understanding how cell-phenotype stability and fate-transitions are impacted by noisy gene expression. However,…

Molecular Networks · Quantitative Biology 2018-09-05 Margaret J. Tse , Brian K. Chu , Elizabeth L. Read

Generators of space-time dynamics in bioimaging have become essential to build ground truth datasets for image processing algorithm evaluation such as biomolecule detectors and trackers, as well as to generate training datasets for deep…

Subcellular Processes · Quantitative Biology 2023-03-14 Lisa Balsollier , Frédéric Lavancier , Jean Salamero , Charles Kervrann
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