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We consider the diffusion-advection problem in two simple cellular flow models (often invoked as examples for subdiffusive tracer's motion) and concentrate on the intermediate time range, in which the tracer's motion indeed may show…

Fluid Dynamics · Physics 2016-09-28 Patrick Pöschke , Igor M. Sokolov , Alexander A. Nepomnyashchy , Michael A. Zaks

Control of cell proliferation is a fundamental aspect of tissue physiology central to morphogenesis, wound healing and cancer. Although many of the molecular genetic factors are now known, the system level regulation of growth is still…

Tissues and Organs · Quantitative Biology 2015-06-03 Alberto Puliafito , Lars Hufnagel , Pierre Neveu , Sebastian Streichan , Alex Sigal , Deborah K. Fygenson , Boris I. Shraiman

When strongly pumped at twice their resonant frequency, non-linear resonators develop a high-amplitude intracavity field, a phenomenon known as parametric self-oscillations. The boundary over which this instability occurs can be extremely…

Identifying the mechanism of intercellular feedback regulation is critical for the basic understanding of tissue growth control in organisms. In this paper, we analyze a tissue growth model consisting of a single lineage of two cell types…

Tissues and Organs · Quantitative Biology 2021-09-22 Mao-Xiang Wang , Arthur Lander , Pik-Yin Lai

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

The regulatory mechanisms driving progression of the yeast cell cycle appears to be comprised of an interacting network of transcription factors (TFs), cyclin-dependent kinases (CDK) and ubiquitin ligases. From a systems perspective the…

Dynamical Systems · Mathematics 2023-02-28 Julian Fox , Breschine Cummins , Robert C. Moseley , Marcio Gameiro , Steven B. Haase

A method to generate reactive trajectories, namely equilibrium trajectories leaving a metastable state and ending in another one is proposed. The algorithm is based on simulating in parallel many copies of the system, and selecting the…

Statistical Mechanics · Physics 2015-05-19 Frédéric Cérou , Arnaud Guyader , Tony Lelièvre , David Pommier

Motion is an important feature of visual scenes and retinal neuronal circuits selectively signal different motion features. It has been shown that the retina can extrapolate the position of a moving object, thereby compensating sensory…

Neurons and Cognition · Quantitative Biology 2025-08-05 S. Ebert , B. Cessac

We present and analyse a model for cell signalling processes in biological tissues. The model includes diffusion and nonlinear reactions on the cell surfaces, and both inter- and intracellular signalling. Using techniques from the theory of…

Analysis of PDEs · Mathematics 2020-03-12 Mariya Ptashnyk , Chandrasekhar Venkataraman

We study a class of superconductive radiation detectors in which the absorption of energy occurs in a long superconductive strip while the redout stage is provided by superconductive tunnel junctions positioned at the two ends of the strip.…

Superconductivity · Physics 2009-11-11 Mikkel Ejrnaes , Ciro Nappi , Roberto Cristiano

A remarkable variety of organisms use metachronal coordination (i.e., numerous neighboring appendages beating sequentially with a fixed phase lag) to swim or pump fluid. This coordination strategy is used by microorganisms to break symmetry…

Biological Physics · Physics 2024-07-22 David J. Peterman , Margaret L. Byron

The traffic of molecular motors through open tube-like compartments is studied using lattice models. These models exhibit boundary-induced phase transitions related to those of the asymmetric simple exclusion process (ASEP) in one…

Statistical Mechanics · Physics 2007-05-23 Stefan Klumpp , Reinhard Lipowsky

Cellular decision-making based on information received from the external environment is frequently initiated by transmembrane receptors. These receptors are known to propagate such information by triggering a series of irreversible,…

Biological Physics · Physics 2026-05-13 Samuel L. Foley , Margaret E. Johnson

Reverberating dynamics of neural network is modelled on PC in order to illustrate possible role of inhibition as binding controller in the network. The network is composed of binding neurons. In the binding neuron model the degree of…

Neurons and Cognition · Quantitative Biology 2013-05-17 Alexander Vidybida

In the mitotic spindle microtubules attach to kinetochores via catch bonds during metaphase, and microtubule depolymerization forces give rise to stochastic chromosome oscillations. We investigate the cooperative stochastic microtubule…

Subcellular Processes · Quantitative Biology 2020-03-17 Felix Schwietert , Jan Kierfeld

Tissue cells are in a state of permanent mechanical tension that is maintained mainly by myosin II minifilaments, which are bipolar assemblies of tens of myosin II molecular motors contracting actin networks and bundles. Here we introduce a…

Subcellular Processes · Quantitative Biology 2014-09-16 Philipp J. Albert , Thorsten Erdmann , Ulrich S. Schwarz

Biochemistry and mechanics are closely coupled in cell adhesion. At sites of cell-matrix adhesion, mechanical force triggers signaling through the Rho-pathway, which leads to structural reinforcement and increased contractility in the actin…

Subcellular Processes · Quantitative Biology 2010-02-24 A. Besser , U. S. Schwarz

Actin is a globular protein which forms long filaments in the eukaryotic cytoskeleton, whose roles in cell function include structural support, contractile activity to intracellular signalling. We model actin filaments as two chains of…

Emerging Technologies · Computer Science 2015-06-22 Andrew Adamatzky , Richard Mayne

We construct a model to explore the hydrodynamic interactions of active inclusions in curved biological membranes. The curved membrane is modelled as a two dimensional layer of highly viscous fluid, surrounded by external solvents of…

Soft Condensed Matter · Physics 2025-06-23 Sarthak Bagaria , Rickmoy Samanta

Recent experiments revealing possible nanoscale electrostatic interactions in force generation at kinetochores for chromosome motions have prompted speculation regarding possible models for interactions between positively charged molecules…

Cell Behavior · Quantitative Biology 2010-02-09 L. John Gagliardi