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A new suggestion for pattern formation in biological systems is proposed. The interaction of two signaling pathways provides complex patterning. The interaction of two pathways involves few of the biochemical complexities of the pathways.…

Biological Physics · Physics 2009-11-10 Frederick W. Cummings

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

Natural beings undergo a morphological development process of their bodies while they are learning and adapting to the environments they face from infancy to adulthood. In fact, this is the period where the most important learning…

Robotics · Computer Science 2020-03-13 M. Naya-Varela , A. Faina , R. J. Duro

Understanding individual cortical development is essential for identifying deviations linked to neurodevelopmental disorders. However, current normative modelling frameworks struggle to capture fine-scale anatomical details due to their…

Quantitative Methods · Quantitative Biology 2025-08-14 Nashira Baena , Mariana da Silva , Irina Grigorescu , Aakash Saboo , Saga Masui , Jaques-Donald Tournier , Emma C. Robinson

We discuss the characteristics of the patterns of the vascular networks in a mathematical model for angiogenesis. Based on recent in vitro experiments, this mathematical model assumes that the elongation and bifurcation of blood vessels…

Pattern Formation and Solitons · Physics 2021-06-15 Jun Mada , Tetsuji Tokihiro

Tissue homeostasis, the biological process of maintaining a steady state in tissue via control of cell proliferation, death, and metabolic function, is essential for the development, growth, maintenance, and proper function of living…

Biological Physics · Physics 2025-01-15 KVS Chaithanya , Jan Rozman , Andrej Košmrlj , Rastko Sknepnek

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

A tumor can be thought of as an ecosystem, which critically means that we cannot just consider it as a collection of mutated cells but more as a complex system of many interacting cellular and microenvironmental elements. At its simplest, a…

Populations and Evolution · Quantitative Biology 2013-05-03 Jill Gallaher , Alexander R. A. Anderson

Urban morphogenesis is the process of formation of its elements and the specialization of its suburbs. Street networks are the structural part of the system. Understand their formation reveals crucial information about urban transformation…

Physics and Society · Physics 2021-11-08 Michele Tirico , Stefan Balev , Antoine Dutot , Damien Olivier

Based on a recently proposed non-equilibrium mechanism for spatial pattern formation [cond-mat/0312366] we study how morphogenesis can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of…

Molecular Networks · Quantitative Biology 2007-05-23 Thimo Rohlf , Stefan Bornholdt

The significant role of epigenetic mechanisms within natural systems has become increasingly clear. This paper uses a recently presented abstract, tunable Boolean genetic regulatory network model to explore aspects of epigenetics. It is…

Neural and Evolutionary Computing · Computer Science 2013-06-21 Larry Bull

Organogenesis is a tightly regulated process that has been studied experimentally for decades. Computational models can help to integrate available knowledge and to better understand the underlying regulatory logic. We are currently…

Tissues and Organs · Quantitative Biology 2012-02-03 Philipp Germann , Dzianis Menshykau , Simon Tanaka , Dagmar Iber

Living tissues experience various external forces on cells, influencing their behaviour, physiology, shape, gene expression, and destiny through interactions with their environment. Despite much research done in this area, challenges remain…

Quantitative Methods · Quantitative Biology 2024-03-05 Akepogu Venkateshwarlu , Akshayveer , Sundeep Singh , Roderick Melnik

A two-dimensional mathematical model for dynamics of endothelial cells in angiogenesis is investigated. Angiogenesis is a morphogenic process in which new blood vessels emerge from an existing vascular network. Recently a one-dimensional…

Pattern Formation and Solitons · Physics 2022-01-11 Tatsuya Hayashi , Fumitaka Yura , Jun Mada , Hiroki Kurihara , Tetsuji Tokihiro

Cells contain elaborate and interconnected networks of protein polymers which make up the cytoskeleton. The cytoskeleton governs the internal positioning and movement of vesicles and organelles, and controls dynamic changes in cell…

Biological Physics · Physics 2017-01-24 Lishibanya Mohapatra , Bruce L. Goode , Predrag Jelenkovic , Rob Phillips , Jane Kondev

Patterns in biology can be considered as predetermined, or arising from a self-organizing instability. Variability in the pattern can thus be interpreted as a trace of an instability, growing out from noise. Variability can thus hint toward…

The emergence of and transitions between distinct phenotypes in isogenic cells can be attributed to the intricate interplay of epigenetic marks, external signals, and gene regulatory elements. These elements include chromatin remodelers,…

Molecular Networks · Quantitative Biology 2022-10-19 M. Ali Al-Radhawi , Shubham Tripathi , Yun Zhang , Eduardo D. Sontag , Herbert Levine

Understanding the emergence of biological structures and their changes is a complex problem. On a biochemical level, it is based on gene regulatory networks (GRN) consisting on interactions between the genes responsible for cell…

Tissues and Organs · Quantitative Biology 2018-02-14 Yuriria Cortes Poza , Pablo Padilla Longoria , Elena Alvarez Buylla

The maintenance of tissue and organ structures during dynamic homeostasis is often not well understood. In order for a system to be stable, cell renewal, cell migration and cell death must be finely balanced. Moreover, a tissue's shape must…

Tissues and Organs · Quantitative Biology 2022-05-11 Domenic P. J. Germano , Stuart T. Johnston , Edmund J. Crampin , James M. Osborne

We build and study an individual based model of the telomere length's evolution in a population across multiple generations. This model is a continuous time typed branching process, where the type of an individual includes its gamete mean…

Populations and Evolution · Quantitative Biology 2023-11-17 Athanasios Benetos , Olivier Coudray , Anne Gégout-Petit , Lionel Lenôtre , Simon Toupance , Denis Villemonais