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A general theoretical framework is put forth to organize and understand various observed phenomena and mathematical relationships in the field of molecular biology. By modeling each cell in eukaryotic organisms as a processor having a…

Other Quantitative Biology · Quantitative Biology 2013-12-18 Barry D. Jacobson

We propose a PDE-constrained shape registration algorithm that captures the deformation and growth of biological tissue from imaging data. Shape registration is the process of evaluating optimum alignment between pairs of geometries through…

Biological Physics · Physics 2022-04-07 Aishwarya Pawar , Linlin Li , Arun K Gosain , David M Umulis , Adrian B Tepole

In multicellular organisms, relations among parts and between parts and the whole are contextual and interdependent. These organisms and their cells are ontogenetically linked: an organism starts as a cell that divides producing…

Other Quantitative Biology · Quantitative Biology 2017-09-15 Maël Montévil , Lucia Speroni , Carlos Sonnenschein , Ana M. Soto

During organogenesis tissue grows and deforms. The growth processes are controlled by diffusible proteins, so-called morphogens. Many different patterning mechanisms have been proposed. The stereotypic branching program during lung…

Quantitative Methods · Quantitative Biology 2017-10-10 Lucas D. Wittwer , Michael Peters , Sebastian Aland , Dagmar Iber

In vitro cultures of endothelial cells are a widely used model system of the collective behavior of endothelial cells during vasculogenesis and angiogenesis. When seeded in an extracellular matrix, endothelial cells can form blood…

A curious feature of organ and organoid morphogenesis is that in certain cases, spatial oscillations in the thickness of the growing "film" are out-of-phase with the deformation of the slower-growing "substrate," while in other cases, the…

Biological Physics · Physics 2018-12-26 T. A. Engstrom , Teng Zhang , A. K. Lawton , A. L. Joyner , J. M. Schwarz

Predictive modeling of the evolutionary dynamics of cancer is a challenge issue in computational cancer biology. In this paper, we propose a general mathematical model framework for the evolutionary dynamics of cancer with plasticity and…

Cell Behavior · Quantitative Biology 2020-01-10 Jinzhi Lei

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

The fundamental biological processes of development of tissues and organs in multicellular organisms is governed by various signaling molecules, which are called morphogens. It is known that spatial and temporal variations in concentration…

Biological Physics · Physics 2015-04-07 Behnaz Bozorgui , Hamid Teimouri , Anatoly B. Kolomeisky

In embryonic development, programmed cell shape changes are essential for building functional organs, but in many cases the mechanisms that precisely regulate these changes remain unknown. We propose that fluid-like drag forces generated by…

Biological Physics · Physics 2019-01-03 Gonca Erdemci-Tandogan , Madeline J. Clark , Jeffrey D. Amack , M. Lisa Manning

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

Connecting cell behavior to tissue shape and mechanics is a key challenge in the physics of morphogenesis. Cytoskeletal turnover precludes a fixed reference state, and tensions are actively generated independently of strain; so conventional…

Soft Condensed Matter · Physics 2026-05-28 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

Living biological tissue is a complex system, constantly growing and changing in response to external and internal stimuli. These processes lead to remarkable and intricate changes in shape. Modeling and understanding both natural and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Edwin Tay , Nazli Tümer , Amir A. Zadpoor

The concept of positional information is central to our understanding of how cells in a multicellular structure determine their developmental fates. Nevertheless, positional information has neither been defined mathematically nor quantified…

Biological Physics · Physics 2014-04-23 Gašper Tkačik , Julien O Dubuis , Mariela D Petkova , Thomas Gregor

Epigenetics is a driving force of important and ubiquitous phenomena in nature such as cell differentiation or even metamorphosis. Oppositely to its widespread role, understanding the biophysical principles that allow epigenetics to control…

Soft Condensed Matter · Physics 2020-01-08 Davide Colì , Davide Michieletto , Davide Marenduzzo , Enzo Orlandini

The generation of anisotropic shapes occurs during morphogenesis of almost all organisms. With the recent renewal of the interest in mechanical aspects of morphogenesis, it has become clear that mechanics contributes to anisotropic forms in…

Cell Behavior · Quantitative Biology 2018-04-19 Jean-Daniel Julien , Arezki Boudaoud

Epigenetics encompasses mechanisms that can alter the expression of genes without changing the underlying genetic sequence. The epigenetic regulation of gene expression is initiated and sustained by several mechanisms such as DNA…

Genomics · Quantitative Biology 2025-04-08 Muhammad Tahir , Mahboobeh Norouzi , Shehroz S. Khan , James R. Davie , Soichiro Yamanaka , Ahmed Ashraf

How does growth encode form in developing organisms? Many different spatiotemporal growth profiles may sculpt tissues into the same target 3D shapes, but only specific growth patterns are observed in animal and plant development. In…

Soft Condensed Matter · Physics 2023-02-16 Dillon J. Cislo , Anastasios Pavlopoulos , Boris I. Shraiman

Gene regulation is an important fundamental biological process. The regulation of gene expression is managed through a variety of methods including epigenetic processes (e.g., DNA methylation). Understanding the role of epigenetic changes…

Molecular Networks · Quantitative Biology 2021-06-01 James Brunner , Jacob Kim , Timothy Downing , Eric Mjolsness , Kord M. Kober

Successful biological development via spatial regulation of cell differentiation relies on action of multiple signaling molecules that are known as morphogens. It is now well established that signaling molecules create non-uniform…

Biological Physics · Physics 2015-06-23 Hamid Teimouri , Anatoly B. Kolomeisky
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