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Related papers: Protein Pattern Formation

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During development, cell fates are determined through a combination of intracellular transcriptional regulations and extracellular signaling. As a result, spatial patterns of different cell types arise. We investigate the decision between…

Cell Behavior · Quantitative Biology 2021-11-03 Simon Schardt , Sabine C. Fischer

Synchronous and directed ciliary beating in trachea allows transport and ejection of virus and dust from the body. This ciliary function depends on the coordinated configuration of basal bodies (root of cilia) in apical cell membrane.…

Cell Behavior · Quantitative Biology 2020-03-19 Toshinori Namba , Shuji Ishihara

Polarity fields are known to exhibit long distance patterns, in both physical and biological systems. The mechanisms behind such patterns are poorly understood. Here, we describe the dynamics of polarity fields using an original physical…

Biological Physics · Physics 2019-07-24 Maryam Aliee , Arezki Boudaoud

When it is polarised, a cell develops an asymmetric distribution of specific molecular markers, cytoskeleton and cell membrane shape. Polarisation can occur spontaneously or be triggered by external signals, like gradients of signalling…

Analysis of PDEs · Mathematics 2013-01-18 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

Cell polarization is a critical process that separates molecular species into two distinct regions in prokaryotic and eukaryotic cells, guiding biological processes such as cell division and cell differentiation. Although several underlying…

Molecular Networks · Quantitative Biology 2025-01-28 Yixuan Chen , Guoye Guan , Lei-Han Tang , Chao Tang

Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

Cell Behavior · Quantitative Biology 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

Proteins, by virtue of their central role in most biological processes, represent one of the key subjects of the study of molecular evolution. Inherent to the indispensability of proteins for living cells is the fact that a given protein…

Biomolecules · Quantitative Biology 2007-05-23 Eric J. Deeds , Eugene I. Shakhnovich

Cell polarity and movement are fundamental to many biological functions. Experimental and theoretically studies have indicated that interactions of certain proteins lead to the cell polarization which plays a key role in controlling the…

Dynamical Systems · Mathematics 2022-08-12 Shuang Liu , Li-Tien Cheng , Bo Li

Protein folding, peptide aggregation and crystallization, as well as adsorption of molecules on soft or solid substrates have an essential feature in common: In all these processes, structure formation is guided by a collective, cooperative…

Statistical Mechanics · Physics 2009-02-12 Michael Bachmann , Wolfhard Janke

Reaction-diffusion systems have been widely used to study spatio-temporal phenomena in cell biology, such as cell polarization. Coupled bulk-surface models naturally include compartmentalization of cytosolic and membrane-bound polarity…

Pattern Formation and Solitons · Physics 2020-08-11 Frédéric Paquin-Lefebvre , Bin Xu , Kelsey L. DiPietro , Alan E. Lindsay , Alexandra Jilkine

Determining the middle of the bacteria cell and the proper placement of the septum is essential to the division of the bacterial cell. In E. coli, this process depends on the proteins MinC, MinD, and MinE. Here, the Lattice Boltzmann method…

Quantitative Methods · Quantitative Biology 2007-05-23 Waipot Ngamsaad , Wannapong Triampo , Paisan Kanthang , I-Ming Tang , Narin Nuttawut , Charin Modjung

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

We explore the joint effect of the intrinsic noise and time delay on the spatial pattern formation within a multi-scale mobile lattice model of the epithelium. The protein fluctuations are driven by transcription/translation processes in…

Adaptation and Self-Organizing Systems · Physics 2015-06-12 Dmitry Bratsun , Andrey Zakharov

The native conformation of structured proteins is stabilized by a complex network of interactions. We analyzed the elementary patterns that constitute such network and ranked them according to their importance in shaping protein sequence…

Biomolecules · Quantitative Biology 2022-04-11 M. Tajana , A. Trovato , G. Tiana

Cell polarization plays a central role in the development of complex organisms. It has been recently shown that cell polarization may follow from the proximity to a phase separation instability in a bistable network of chemical reactions.…

Statistical Mechanics · Physics 2009-03-24 A. Gamba , I. Kolokolov , V. Lebedev , G. Ortenzi

Self-organized pattern formation is vital for many biological processes. Reaction-diffusion models have advanced our understanding of how biological systems develop spatial structures, starting from homogeneity. However, biological…

During division it is of primary importance for a cell to correctly determine the site of cleavage. The bacterium Escherichia coli divides in the center, producing two daughter cells of equal size. Selection of the center as the correct…

Subcellular Processes · Quantitative Biology 2007-05-23 G. Meacci , K. Kruse

Proteins are the "work horses" in biological systems. In almost all functions specific proteins are involved. They control molecular transport processes, stabilize the cell structure, enzymatically catalyze chemical reactions; others act as…

Statistical Mechanics · Physics 2009-02-18 Michael Bachmann , Wolfhard Janke

The formation of polarized signaling domains on cell membranes is a fundamental example of biological pattern formation. While such patterns resemble structures from equilibrium phase separation, they are intrinsically non-equilibrium,…

Biological Physics · Physics 2025-12-10 Damiano Andreghetti , Alfredo Braunstein , Luca Dall'Asta , Andrea Gamba

Biological pattern formation is one of the most intriguing phenomena in nature. Simplest examples of such patterns are represented by travelling waves and stationary periodic patterns which occur during various biological processes…

Analysis of PDEs · Mathematics 2024-06-12 Valentina Bucur , Bakhtier Vasiev