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Turing mechanisms can yield a large variety of patterns from noisy, homogenous initial conditions and have been proposed as patterning mechanism for many developmental processes. However, the molecular components that give rise to Turing…

Molecular Networks · Quantitative Biology 2015-06-22 Tamás Kurics , Denis Menshykau , Dagmar Iber

Turing models have been proposed to explain the emergence of digits during limb development. However, so far the molecular components that would give rise to Turing patterns are elusive. We have recently shown that a particular type of…

Tissues and Organs · Quantitative Biology 2013-01-07 Amarendra Badugu , Conradin Kraemer , Philipp Germann , Denis Menshykau , Dagmar Iber

The main signalling proteins that control early kidney branching have been defined. Yet the underlying mechanism is still elusive. We have previously shown that a Schnakenberg-type Turing mechanism can recapitulate the branching and protein…

Tissues and Organs · Quantitative Biology 2015-06-16 Denis Menshykau , Dagmar Iber

Many organs of higher organisms, such as the vascular system, lung, kidney, pancreas, liver and glands, are heavily branched structures. The branching process during lung development has been studied in great detail and is remarkably…

Tissues and Organs · Quantitative Biology 2012-03-08 Denis Menshykau , Conradin Kraemer , Dagmar Iber

Since its introduction in 1952, Turing's (pre-)pattern theory ("the chemical basis of morphogenesis") has been widely applied to a number of areas in developmental biology. The related pattern formation models normally comprise a system of…

Cell Behavior · Quantitative Biology 2020-10-28 Fiona R Macfarlane , Mark AJ Chaplain , Tommaso Lorenzi

Traditional top-down robotic design often lacks the adaptability needed to handle real-world complexities, prompting the need for more flexible approaches. Therefore, this study introduces a novel cellular plasticity model tailored for…

Robotics · Computer Science 2024-08-13 Trevor R. Smith , Thomas J. Smith , Nicholas S. Szczecinski , Sergiy Yakovenko , Yu Gu

Confirming Turing's theory of morphogens in developmental processes is challenging, and synthetic biology has opened new avenues for testing Turing's predictions. Synthetic mammalian pattern formation has been recently achieved through a…

Pattern Formation and Solitons · Physics 2025-09-22 Mohamed Amine Ouchdiri , Saad Benjelloun , Adnane Saoud , Irene Otero-Muras

Kidney branching morphogenesis has been studied extensively, but the mechanism that defines the branch points is still elusive. Here we obtained a 2D movie of kidney branching morphogenesis in culture to test different models of branching…

Tissues and Organs · Quantitative Biology 2013-07-02 Srivathsan Adivarahan , Denis Menshykau , Odysse Michos , Dagmar Iber

A fundamental task in developmental biology is to identify the mechanisms which drive morphogenesis. In many cases, pattern formation is driven by the positional information determined by both the gradient of maternal factors and hard-wired…

Molecular Networks · Quantitative Biology 2007-05-23 L. Diambra , Luciano da Fontoura Costa

The Turing patterning mechanism is believed to underly the formation of repetitive structures in development, such as zebrafish stripes and mammalian digits, but it has proved difficult to isolate the specific biochemical species…

Molecular Networks · Quantitative Biology 2018-03-22 Stephen Smith , Neil Dalchau

Notch signaling is an evolutionary conserved cell-cell communication pathway. Besides regulating cell-fate decisions at an individual cell level, Notch signaling coordinates the emergent spatiotemporal patterning in a tissue through…

Molecular Networks · Quantitative Biology 2020-05-13 Federico Bocci , Jose Nelson Onuchic , Mohit Kumar Jolly

Tissue growth underpins a wide array of biological and developmental processes, and numerical modeling of growing systems has been shown to be a useful tool for understanding these processes. However, the phenomena that can be captured are…

Soft Condensed Matter · Physics 2023-11-08 Andrew Killeen , Benjamin Partridge , Thibault Bertrand , Chiu Fan Lee

Among living organisms, there are species that change their patterns on their body surface during their growth process and those that maintain their patterns. Theoretically, it has been shown that large-scale species do not form distinct…

Biological Physics · Physics 2025-08-27 Shin Nishihara , Toru Ohira

Turing patterns play a fundamental role in morphogenesis and population dynamics, encoding key information about the underlying biological mechanisms. Yet, traditional inverse problems have largely relied on non-biological data such as…

Analysis of PDEs · Mathematics 2025-09-10 Yuhan Li , Hongyu Liu , Catharine W. K. Lo

To investigate novel aspects of pattern formation in spin systems, we use a mapping between reactive concentrations in a reaction-diffusion system and spin orientations in a dynamic multiple-spin Ising model. While pattern formation in…

Adaptation and Self-Organizing Systems · Physics 2019-10-15 Mélody Merle , Laura Messio , Julien Mozziconacci

We propose general conditions for the emergence of Turing patterns in a domain that changes size through homogeneous growth/shrinkage based on the qualitative changes of a potential function. For this part of the work, we consider the most…

Pattern Formation and Solitons · Physics 2023-10-03 Aldo Ledesma-Durán

It is well known that simple reaction-diffusion systems can display very rich pattern formation behavior. Here we have studied two examples of such systems in three dimensions. First we investigate the morphology and stability of a generic…

Statistical Mechanics · Physics 2009-11-07 Teemu Leppanen , Mikko Karttunen , Kimmo Kaski , Rafael A. Barrio , Limei Zhang

Providing diagnostic feedback about growth is crucial to formative decisions such as targeted remedial instructions or interventions. This paper proposed a longitudinal higher-order diagnostic classification modeling approach for measuring…

Methodology · Statistics 2018-09-19 Peida Zhan , Hong Jiao , Dandan Liao

Spatial structure can play an important role in the evolution of cooperative behavior and the achievement of collective success of a population. In this paper, we explore the role of random and directed motion on spatial pattern formation…

Populations and Evolution · Quantitative Biology 2025-09-26 Tianyong Yao , Chenning Xu , Daniel B. Cooney

Crohn's disease is an inflammatory bowel disease (IBD) that is not well understood. In particular, unlike other IBDs, the inflamed parts of the intestine compromise deep layers of the tissue and are not continuous but separated and…

Analysis of PDEs · Mathematics 2020-07-28 Grégoire Nadin , Eric Ogier-Denis , Ana Isis Toledo , Hatem Zaag
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