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Shape transformations of epithelial tissues in three dimensions, which are crucial for embryonic development or in vitro organoid growth, can result from active forces generated within the cytoskeleton of the epithelial cells. How the…

Biological Physics · Physics 2024-12-23 Diana Khoromskaia , Guillaume Salbreux

Morphogenesis involves complex shape changes of biological tissues. Yet, tissue shape changes depend on tissue rheology, which in turn arises from the interplay of large numbers of cells. Here, we link cell- and tissue-scale mechanics by…

Soft Condensed Matter · Physics 2026-02-27 Shalabh Kumar Anand , Matthias Merkel

A common developmental process, called branching morphogenesis, generates the epithelial trees in a variety of organs, including the lungs, kidneys, and glands. How branching morphogenesis can create epithelial architectures of very…

Tissues and Organs · Quantitative Biology 2021-03-02 Christine Lang , Lisa Conrad , Dagmar Iber

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

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

In this paper, we derive an effective model for transport processes in periodically perforated elastic media, taking into account, e.g., cyclic elastic deformations as they occur in lung tissue due to respiratory movement. The underlying…

Analysis of PDEs · Mathematics 2022-06-15 Jonas Knoch , Markus Gahn , Maria Neuss-Radu , Nicolas Neuß

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

The spongy mesophyll is a complex, porous tissue found in plant leaves that enables carbon capture and provides mechanical stability. Unlike many other biological tissues, which remain confluent throughout development, the spongy mesophyll…

Space-saving design is a requirement that is encountered in biological systems and the development of modern technological devices alike. Many living organisms dynamically pack their polymer chains, filaments or membranes inside of…

Soft Condensed Matter · Physics 2014-07-18 Roman Vetter , Falk K. Wittel , Hans J. Herrmann

Many organs of higher organisms are heavily branched structures and arise by an at first sight similar process of branching morphogenesis. Yet the regulatory components and local interactions that have been identified differ greatly in…

Tissues and Organs · Quantitative Biology 2013-08-12 Dagmar Iber , Denis Menshykau

Biological cells utilize membranes and liquid-like droplets, known as biomolecular condensates, to structure their interior. The interaction of droplets and membranes, despite being involved in several key biological processes, is so far…

Soft Condensed Matter · Physics 2024-02-21 Marcel Mokbel , Dominic Mokbel , Susanne Liese , Christoph A. Weber , Sebastian Aland

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

The applicability of computational and dynamical systems models to organisms is scrutinized, using examples from developmental biology and cognition. Developmental morphogenesis is dependent on the inherent material properties of developing…

Neurons and Cognition · Quantitative Biology 2023-10-24 Stuart A. Newman

Understanding how living organisms spontaneously develop complex functional structures inspires innovative approaches in engineering design. Here, we introduce a decentralized generative model based on morphogenesis to autonomously grow…

Applied Physics · Physics 2025-09-15 Thomas Fromentèze , Philippe Michaud , Ali Hassny , Vincent Pateloup

A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell.…

Biological Physics · Physics 2015-05-30 Makiko Nonomura

The formation of self-organized patterns is key to the morphogenesis of multicellular organisms, although a comprehensive theory of biological pattern formation is still lacking. Here, we propose a minimal model combining tissue mechanics…

Biological Physics · Physics 2022-06-08 P. Recho , A. Hallou , E. Hannezo

An understanding of the underlying mechanism of side--branching is paramount in controlling and/or therapeutically treating mammalian organs, such as lungs, kidneys, and glands. Motivated by an activator-inhibitor-substrate approach that is…

Pattern Formation and Solitons · Physics 2021-07-20 Arik Yochelis

Many biological networks grow by elongation of filaments that can branch and fuse -- typical examples include fungal mycelium or slime mold. These networks must simultaneously perform multiple tasks such as transport, exploration, and…

Adaptation and Self-Organizing Systems · Physics 2026-01-08 Maxime Lucas , Corentin Bisot , Giovanni Petri , Stéphane Declerck , Timoteo Carletti

In this survey article, a variety of systems modeling tumor growth are discussed. In accordance with the hallmarks of cancer, the described models incorporate the primary characteristics of cancer evolution. Specifically, we focus on…

Dynamical Systems · Mathematics 2023-03-21 Marvin Fritz

Morphogenesis of complex body shapes is reproducible despite the noise inherent in the underlying morphogenetic processes. However, how these morphogenetic processes work together to achieve this reproducibility remains unclear. Here, we…

Cell Behavior · Quantitative Biology 2025-12-24 Dominic K Devlin , Austen RD Ganley , Nobuto Takeuchi