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The simulation of morphogenetic problems requires the simultaneous and coupled simulation of signalling and tissue dynamics. A cellular resolution of the tissue domain is important to adequately describe the impact of cell-based events,…

Quantitative Methods · Quantitative Biology 2015-03-29 Simon Tanaka , David Sichau , Dagmar Iber

During embryonic development tissue morphogenesis and signaling are tightly coupled. It is therefore important to simulate both tissue morphogenesis and signaling simultaneously in in silico models of developmental processes. The resolution…

Tissues and Organs · Quantitative Biology 2013-05-28 Dagmar Iber , Simon Tanaka , Patrick Fried , Philipp Germann , Denis Menshykau

The understanding of morphogenesis in living organisms has been renewed by tremendous progressin experimental techniques that provide access to cell-scale, quantitative information both on theshapes of cells within tissues and on the genes…

Biological Physics · Physics 2015-09-30 Sham Tlili , Cyprien Gay , Francois Graner , Philippe Marcq , François Molino , Pierre Saramito

Morphogenesis, the process by which an adult organism emerges from a single cell, has fascinated humans for a long time. Modelling this process can provide novel insights into development and the principles that orchestrate the…

Tissues and Organs · Quantitative Biology 2018-06-13 M. D. Peters , L. D. Wittwer , A. Stopka , D. Barac , C. Lang , D. Iber

A distinguishing feature of a multicellular living system is that it operates at various scales, from the intracellular to organismal. Very little is known at present on how tissue level properties are related to cell and subcellular…

Biological Physics · Physics 2007-06-26 Elijah Flenner , Francoise Marga , Adrian Neagu , Ioan Kosztin , Gabor Forgacs

The organization of cells within tissues plays a vital role in various biological processes, including development and morphogenesis. As a result, understanding how cells self-organize in tissues has been an active area of research. In our…

Soft Condensed Matter · Physics 2023-10-09 Kanaya Malakar , Rafael I. Rubenstein , Dapeng Bi , Bulbul Chakraborty

We propose a two-scale model to resolve essential features of developmental tissue deformations. The model couples individual cellular behavior to the mechanics at tissue scale. This is realized by a multiphase-field model addressing the…

Soft Condensed Matter · Physics 2025-06-25 Lea Happel , Axel Voigt

How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links…

Analysis of PDEs · Mathematics 2023-11-21 Arezki Boudaoud , Annamaria Kiss , Mariya Ptashnyk

Understanding the behaviour of biological systems requires a complex setting of in vitro and in vivo experiments, which attracts high costs in terms of time and resources. The use of mathematical models allows researchers to perform…

Computational Engineering, Finance, and Science · Computer Science 2009-11-30 Thomas Anung Basuki , Antonio Cerone , Rafael V. Carvalho

The orientation of cell division is a major determinant of three-dimensional plant morphogenesis. Whether and how a simple division orientation rule explains the establishment of symmetric body plans is a fundamental question. Testing such…

Cell Behavior · Quantitative Biology 2026-05-14 Naoya Kamamoto , Koichi Fujimoto

The process of morphogenesis is an evolution of the shape of an organism together with the differentiation of its parts. This process encompasses numerous biological processes ranging from embryogenesis to regeneration following crisis such…

Other Quantitative Biology · Quantitative Biology 2019-09-23 N. Bessonov , O. Butuzova , A. Minarsky , R. Penner , C. Soule , A. Tosenberger , N. Morozova

The mechanical behaviour of solid biological tissues has long been described using models based on classical continuum mechanics. However, the classical continuum theories of elasticity and viscoelasticity cannot easily capture the…

Biological Physics · Physics 2017-05-16 Shakti N. Menon , Cameron L. Hall , Scott W. McCue , D. L. Sean McElwain

The phase field model can accurately simulate the evolution of microstructures with complex morphologies, and it has been widely used for cell modeling in the last two decades. However, compared to other cellular models such as the…

Biological Physics · Physics 2022-06-13 Xiangyu Kuang , Guoye Guan , Chao Tang , Lei Zhang

Understanding the rules underlying organismal development is a major unsolved problem in biology. Each cell in a developing organism responds to signals in its local environment by dividing, excreting, consuming, or reorganizing, yet how…

Cell Behavior · Quantitative Biology 2025-08-20 Ramya Deshpande , Francesco Mottes , Ariana-Dalia Vlad , Michael P. Brenner , Alma dal Co

We present a COMSOL Multiphysics implementation of a continuum model for directed cell migration, a key mechanism underlying tissue self-organization and morphogenesis. The model is formulated as a partial integro-differential equation…

Biological Physics · Physics 2025-12-05 Malte Mederacke , Chengyou Yu , Roman Vetter , Dagmar Iber

One of the major challenges in biology concerns the integration of data across length and time scales into a consistent framework: how do macroscopic properties and functionalities arise from the molecular regulatory networks - and how can…

Computational Engineering, Finance, and Science · Computer Science 2015-10-20 Dagmar Iber , Zahra Karimaddini , Erkan Ünal

During growth, tissue expands and deforms. Given its elastic properties, stresses emerge in an expanding and deforming tissue. Cell rearrangements can dissipate these stresses and numerous experiments confirm the viscoelastic properties of…

Tissues and Organs · Quantitative Biology 2017-10-20 M. D. Peters , D. Iber

Morphogenesis is a tightly regulated process that has been studied for decades. We are developing data-based and image-basd mechanistic models for a range of developmental processes with a view to integrate the available knowledge and to…

Quantitative Methods · Quantitative Biology 2013-09-10 Denis Menshykau , Srivathsan Adivarahan , Philipp Germann , Lisa Lermuzeaux , Dagmar Iber

We present a topology grounded, multiscale simulation platform for morphogenesis and biological active matter. Morphogenesis and biological active matter represent keystone problems in biology with additional, far-reaching implications…

Based on symmetry consideration of migration and shape deformations, we formulate phenomenologically the dynamics of cell crawling in two dimensions. Forces are introduced to change the cell shape. The shape deformations induce migration of…

Biological Physics · Physics 2016-03-23 Takao Ohta , Mitsusuke Tarama , Masaki Sano
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