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During development, spatio-temporal patterns ranging from checkerboard to engulfing occur with precise proportions of the respective cell fates. Key developmental regulators are intracellular transcriptional interactions and intercellular…

Biological Physics · Physics 2022-11-15 Simon Schardt , Sabine C. Fischer

Two aspects required to establish a planning in orthognatic surgery are addressed in this paper. First, a 3D cephalometric analysis, which is clini-cally essential for the therapeutic decision. Then, an original method to build a…

Medical Physics · Physics 2007-05-23 Matthieu Chabanas , Christophe Marecaux , Yohan Payan , Franck Boutault

Recent research has extended methods from the fields of thermodynamics and statistical mechanics into other disciplines. Most notably, one recent work creates a unified theoretical framework to understand evolutionary biology, machine…

Populations and Evolution · Quantitative Biology 2024-05-22 Daniel Sadasivan , Cole Cantu , Cecilia Marsh , Andrew Graham

Cell deformability is an essential determinant for tissue-scale mechanical nature, such as fluidity and rigidity, and is thus crucial for understanding tissue homeostasis and stable developmental processes. However, numerical simulations…

Tissues and Organs · Quantitative Biology 2023-03-08 Nen Saito , Shuji Ishihara

Hematopoiesis is a complex biological process that leads to the production and regulation of blood cells. It is based upon differentiation of stem cells under the action of growth factors. A mathematical approach of this process is proposed…

Classical Analysis and ODEs · Mathematics 2009-04-17 Mostafa Adimy , Fabien Crauste , Shigui Ruan

The failure of heterogeneous materials with microstructures is a complex process of damage nucleation, growth and localisation. This process spans multiple length scales and is challenging to simulate numerically due to its high…

Materials Science · Physics 2023-05-24 Philip P. Müller , Falk K. Wittel , David S. Kammer

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

Morphogen profiles allow cells to determine their position within a developing organism, but the mechanisms behind the formation of these profiles are still not well agreed upon. Here we derive fundamental limits to the precision of…

Biological Physics · Physics 2018-06-26 Sean Fancher , Andrew Mugler

Constraints in embryonic development are thought to bias the direction of evolution by making some changes less likely, and others more likely, depending on their consequences on ontogeny. Here, we characterize the constraints acting on…

Populations and Evolution · Quantitative Biology 2012-03-08 J. Roux , M. Robinson-Rechavi

This study explores the emergence of life through a simulation model approach. The model "Multi-set chemical lattice model" is a model that allows virtual molecules of multiple types to be placed in each lattice cell on a two-dimensional…

Other Quantitative Biology · Quantitative Biology 2023-04-12 Takeshi Ishida

Self-organization is a fundamental process of complex biological systems, particularly during the early stages of development. In the mammalian embryo, blastocyst formation exemplifies a self-organized system, involving the correct…

Quantitative Methods · Quantitative Biology 2025-05-30 Michael A. Ramirez-Sierra , Thomas R. Sokolowski

Designing generative models for 3D structural brain MRI that synthesize morphologically-plausible and attribute-specific (e.g., age, sex, disease state) samples is an active area of research. Existing approaches based on frameworks like…

Image and Video Processing · Electrical Eng. & Systems 2025-08-04 Alan Q. Wang , Fangrui Huang , Bailey Trang , Wei Peng , Mohammad Abbasi , Kilian Pohl , Mert Sabuncu , Ehsan Adeli

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

Recent advances in image and video generation raise hopes that these models possess world modeling capabilities, the ability to generate realistic, physically plausible videos. This could revolutionize applications in robotics, autonomous…

Embryonic development involves pattern formation characterized by the emergence of spatially localized domains characterized by distinct cell fates resulting from differential gene expression. The boundaries demarcating these domains are…

Tissues and Organs · Quantitative Biology 2024-06-11 Chandrashekar Kuyyamudi , Shakti N. Menon , Sitabhra Sinha

Mollusk shells are an ideal model system for understanding the morpho-elastic basis of morphological evolution of invertebrates' exoskeletons. During the formation of the shell, the mantle tissue secretes proteins and minerals that calcify…

Quantitative Methods · Quantitative Biology 2019-08-12 Shiva Rudraraju , Derek E. Moulton , Régis Chirat , Alain Goriely , Krishna Garikipati

Cells often exhibit different and stable phenotypes from the same DNA sequence. Robustness and plasticity of such cellular states are controlled by diverse transcriptional and epigenetic mechanisms, among them the modification of…

Molecular Networks · Quantitative Biology 2015-06-18 Daniel Jost

Growth pattern dynamics lie at the heart of morphogenesis. Here, we investigate the growth of plant leaves. We compute the conformal transformation that maps the contour of a leaf at a given stage onto the contour of the same leaf at a…

Tissues and Organs · Quantitative Biology 2016-11-23 Karen Alim , Shahaf Armon , Boris I. Shraiman , Arezki Boudaoud

The inverse geometric approach to the modeling of the growth of circular objects revealing required features, such as the velocity of the growth and fractal behavior of their contours, is presented. It enables to reproduce some of the…

Medical Physics · Physics 2007-05-23 Branislav Brutovsky , Denis Horvath , Vladimir Lisy

Mathematical and computational models can assist in gaining an understanding of cell behavior at many levels of organization. Here, we review models in the literature that focus on eukaryotic cell motility at 3 size scales: intracellular…

Cell Behavior · Quantitative Biology 2021-01-27 Andreas Buttenschön , Leah Edelstein-Keshet
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