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A continuum model of epithelial tissue mechanics was formulated using cellular-level mechanical ingredients and cell morphogenetic processes, including cellular shape changes and cellular rearrangements. This model can include finite…

Tissues and Organs · Quantitative Biology 2017-09-06 Shuji Ishihara , Philippe Marcq , Kaoru Sugimura

Cell fate decisions in multicellular organisms are precisely coordinated, leading to highly reproducible macroscopic outcomes of developmental processes. The origins of this reproducibility can be found at the molecular level during the…

Molecular Networks · Quantitative Biology 2013-09-25 Mariela D. Petkova , Feng Liu , Thomas Gregor

Coordinated cellular movements are key processes in tissue morphogenesis. Using a cell-based modeling approach we study the dynamics of epithelial layers lining surfaces with constant and varying curvature. We demonstrate that extrinsic…

Soft Condensed Matter · Physics 2024-03-21 Lea Happel , Axel Voigt

Mathematical modelling allows us to concisely describe fundamental principles in biology. Analysis of models can help to both explain known phenomena, and predict the existence of new, unseen behaviours. Model analysis is often a complex…

Quantitative Methods · Quantitative Biology 2020-08-13 Mark Blyth , Ludovic Renson , Lucia Marucci

A biophysical model of epimorphic regeneration based on a continuum percolation process of fully penetrable disks in two dimensions is proposed. All cells within a randomly chosen disk of the regenerating organism are assumed to receive a…

Biological Physics · Physics 2023-11-06 Vladimir García-Morales

Cellular signaling is essential in information processing and decision making. Therefore, a variety of experimental approaches have been developed to study signaling on bulk and single-cell level. Single-cell measurements of signaling…

Quantitative Methods · Quantitative Biology 2019-04-18 Carolin Loos , Jan Hasenauer

Nearly all cell models explicitly or implicitly deal with the biophysical constraints that must be respected for life to persist. Despite this, there is almost no systematicity in how these constraints are implemented, and we lack a…

Cell Behavior · Quantitative Biology 2026-05-20 Connor McShaffrey , Eran Agmon , Randall D. Beer

Epigenetics encompasses mechanisms that can alter the expression of genes without changing the underlying genetic sequence. The epigenetic regulation of gene expression is initiated and sustained by several mechanisms such as DNA…

Genomics · Quantitative Biology 2025-04-08 Muhammad Tahir , Mahboobeh Norouzi , Shehroz S. Khan , James R. Davie , Soichiro Yamanaka , Ahmed Ashraf

The evolutionary biology of aging is fundamental to understanding the mechanisms of aging and how to develop anti-aging treatments. Thus far most evolutionary theory concerns the genetics of aging with limited physiological integration.…

Populations and Evolution · Quantitative Biology 2025-09-22 Mirre J P Simons , Marc Tatar

Multitype branching processes (MTBP) model branching structures, where the nodes of the resulting tree are objects of different types. One field of application of such models in biology is in studies of cell proliferation. A sampling scheme…

Computation · Statistics 2012-06-19 Nina Daskalova

Live-cell microscopy allows to go beyond measuring average features of cellular populations to observe, quantify and explain biological heterogeneity. Deep Learning-based instance segmentation and cell tracking form the gold standard…

Quantitative Methods · Quantitative Biology 2024-08-09 Richard D. Paul , Johannes Seiffarth , Hanno Scharr , Katharina Nöh

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

We investigate morphologies of proliferating cellular tissue using a newly developed numerical simulation model for mechanical cell division. The model reproduces structures of simple multi-cellular organisms via simple rules for selective…

Soft Condensed Matter · Physics 2018-11-20 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

The process of programmed cell death, namely apoptosis, is a natural mechanism that regulates healthy tissue, multicellular structures, and homeostasis. An improved understanding of apoptosis can significantly enhance our knowledge of…

Cell Behavior · Quantitative Biology 2026-03-12 Daniel A. Vaughan , Anna M. Piccinini , Mischa Zelzer , Etienne Farcot , Bindi S. Brook , Kris Van-der-Zee , Luis Espath

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

Systems biology and whole-cell modelling are demanding increasingly comprehensive mathematical models of cellular biochemistry. These models require the development of simplified models of specific processes which capture essential…

Quantitative Methods · Quantitative Biology 2020-08-03 Peter J. Gawthrop , Peter Cudmore , Edmund J. Crampin

Tracking many cells in time-lapse 3D image sequences is an important challenging task of bioimage informatics. Motivated by a study of brain-wide 4D imaging of neural activity in C. elegans, we present a new method of multi-cell tracking.…

Computer Vision and Pattern Recognition · Computer Science 2018-01-18 Osamu Hirose , Shotaro Kawaguchi , Terumasa Tokunaga , Yu Toyoshima , Takayuki Teramoto , Sayuri Kuge , Takeshi Ishihara , Yuichi Iino , Ryo Yoshida

Mathematical models are indispensable to the system biology toolkit for studying the structure and behavior of intracellular signaling networks. A common approach to modeling is to develop a system of equations that encode the known biology…

Quantitative Methods · Quantitative Biology 2024-06-18 Nathaniel Linden-Santangeli , Jin Zhang , Boris Kramer , Padmini Rangamani

Background: Radiotherapy outcomes are usually predicted using the Linear Quadratic model. However, this model does not integrate complex features of tumor growth, in particular cell cycle regulation. Methods: In this paper, we propose a…

Tissues and Organs · Quantitative Biology 2007-05-23 Benjamin Ribba , Thierry Colin , Santiago Schnell

Based on the study of cellular aging using the single-cell model organism of budding yeast and corroborated by other studies, we propose the Emergent Aging Model (EAM). EAM hypothesizes that aging is an emergent property of complex…

Quantitative Methods · Quantitative Biology 2024-07-09 Hong Qin