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A common type of cytoskeletal morphology involves multiple converging microbutubules with their minus ends collected and stabilized by a microtubule organizing center (MTOC) in the interior of the cell. This arrangement enables the…

Cell Behavior · Quantitative Biology 2023-01-04 Niranjan Sarpangala , Brooke Randell , Ajay Gopinathan , Oleg Kogan

Many cellular processes rely on the cell's ability to transport material to and from the nucleus. Networks consisting of many microtubules and actin filaments are key to this transport. Recently, the inhibition of intracellular transport…

Subcellular Processes · Quantitative Biology 2020-05-06 Shawn D. Ryan , Zachary McCarthy , Mykhailo Potomkin

A mass transport directed from low to high density region in an inhomogeneous medium is modeled as a limiting case of a two-component lattice gas with excluded volume constraint and one of the components fixed. In the long-wavelength…

Disordered Systems and Neural Networks · Physics 2012-10-05 Sergei P. Lukyanets , Oleksandr V. Kliushnychenko

Many natural and industrial processes rely on constrained transport, such as proteins moving through cells, particles confined in nanocomposite materials or gels, individuals in highly dense collec- tives and vehicular traffic conditions.…

Cell motility is one of the most fundamental phenomena underlying biological processes that maintain living organisms alive. Here we introduce a simple model to describe the motility of cells which include not only time-correlated internal…

Biological Physics · Physics 2022-07-13 T. N. Azevedo , L. G. Rizzi

Active cellular transport is a fundamental mechanism for protein and vesicle delivery, cell cycle and molecular degradation. Viruses can hijack the transport system and use it to reach the nucleus. Most transport processes consist of…

Quantitative Methods · Quantitative Biology 2009-11-13 T. Lagache , D. Holcman

The cell cytoskeleton is a striking example of "active" medium driven out-of-equilibrium by ATP hydrolysis. Such activity has been shown recently to have a spectacular impact on the mechanical and rheological properties of the cellular…

Statistical Mechanics · Physics 2015-05-13 C. Loverdo , O. Benichou , M. Moreau , R. Voituriez

Cells can show not only spontaneous movement but also tactic responses to environmental signals. Since the former can be regarded as the basis to realize the latter, playing essential roles in various cellular functions, it is important to…

Cell Behavior · Quantitative Biology 2015-05-13 Hiroaki Takagi , Masayuki J. Sato , Toshio Yanagida , Masahiro Ueda

We consider the influence of disorder on the non-equilibrium steady state of a minimal model for intracellular transport. In this model particles move unidirectionally according to the \emph{totally asymmetric exclusion process} (TASEP) and…

Statistical Mechanics · Physics 2007-05-23 P. Pierobon , M. Mobilia , R. Kouyos , E. Frey

We study a continuum model of dislocation transport in order to investigate the formation of heterogeneous dislocation patterns. We propose a physical mechanism which relates the formation of heterogeneous patterns to the dynamics of a…

Materials Science · Physics 2018-08-29 Ronghai Wu , Daniel Tüzes , Péter Dusán Ispánovity , István Groma , Michael Zaiser

Ion transport in biological tissues is crucial in the study of many biological and pathological problems. Some multi-cellular structures, like smooth muscles on the vessel walls, could be treated as periodic bi-domain structures, which…

Analysis of PDEs · Mathematics 2021-03-11 Chun Xiao , Xingye Yue , Huaxiong Huang , Shixin Xu

We consider random search processes alternating stochastically between diffusion and ballistic motion, in which the distribution function of ballistic motion directions varies from point to point in space. The specific space dependence of…

Subcellular Processes · Quantitative Biology 2016-08-29 Karsten Schwarz , Yannick Schröder , Bin Qu , Markus Hoth , Heiko Rieger

We study the random walk of a particle in a compartmentalized environment, as realized in biological samples or solid state compounds. Each compartment is characterized by its length $L$ and the boundaries transmittance $T$. We identify two…

Statistical Mechanics · Physics 2019-03-12 Gorka Muñoz-Gil , Miguel Angel García-March , Carlo Manzo , Alessio Celi , Maciej Lewenstein

Intracellular transport of DNA carriers is a fundamental step of gene delivery. We present here a theoretical approach to study generically a single virus or DNA particle trafficking in a cell cytoplasm. Cellular trafficking has been…

Quantitative Methods · Quantitative Biology 2007-11-28 T. Lagache , E. Dauty , D. Holcman

The simultaneous presence of liquid and gas in porous media increases flow heterogeneity compared to saturated flows. However, so far the impact of saturation on flow statistics and transport dynamics remained unclear. Here, we develop a…

We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

Transport phenomena in out-of-equilibrium systems is immensely important in a myriad of applications in biology, engineering and physics. Complex environments, such as the cytoplasm or porous media, can substantially affect the transport…

Soft Condensed Matter · Physics 2020-02-18 Shahrzad Yazdi , Juan L. Aragones , Jennifer Coulter , Alfredo Alexander-Katz

Based on symmetry consideration of migration and shape deformations, we formulate phenomenologically the dynamics of cell crawling in two dimensions. Forces are introduced to change the cell shape. The shape deformations induce migration of…

Biological Physics · Physics 2016-03-23 Takao Ohta , Mitsusuke Tarama , Masaki Sano

Intracellular cargo transport can arise from passive diffusion, active motor-driven transport along cytoskeletal filament networks, and passive advection by fluid flows entrained by such motor/cargo motion. Active and advective transport…

Biological Physics · Physics 2012-07-24 P. Khuc Trong , J. Guck , R. E. Goldstein

The cytoskeleton in eukaryotic cells plays several crucial roles. In terms of intracellular transport, motor proteins use the cytoskeletal filaments as a backbone along which they can actively transport biological cargos such as vesicles…

Biological Physics · Physics 2020-06-20 Adélaïde Raguin , Norbert Kern , Andrea Parmeggiani