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Wavelets provide the flexibility to analyse stochastic processes at different scales. Here, we apply them to multivariate point processes as a means of detecting and analysing unknown non-stationarity, both within and across data streams.…

Methodology · Statistics 2020-11-04 Edward A. K. Cohen , Alexander J. Gibberd

Cells move differently on substrates with different elasticities. In particular, the persistence time of their motion is higher on stiffer substrates. We show that this behavior will result in a net transport of cells directed up a…

Biological Physics · Physics 2017-03-09 Elizaveta A. Novikova , Matthew Raab , Dennis E. Discher , Cornelis Storm

Cell migration is fundamental to development, tissue organization, immune response, and disease progression. Amoeboid motility is distinguished by rapid motion and strongly fluctuating cell shapes, reflecting the intrinsically nonlinear…

Soft Condensed Matter · Physics 2026-05-19 Winfried Schmidt , Chaouqi Misbah , Alexander Farutin

Amoeboid cell motility is essential for a wide range of biological processes including wound healing, embryonic morphogenesis, and cancer metastasis. It relies on complex dynamical patterns of cell shape changes that pose long-standing…

The purpose of this paper is to implement a random death process into a persistent random walk model which produces subballistic superdiffusion (L\'{e}vy walk). We develop a Markovian model of cell motility with the extra residence variable…

Statistical Mechanics · Physics 2015-05-20 Sergei Fedotov , Abby Tan , Andrey Zubarev

Intracellular processes triggered by neural activity include changes in ionic concentrations, protein release, and synaptic vesicle cycling. These processes play significant roles in neurological disorders. The beneficial effects of brain…

Neurons and Cognition · Quantitative Biology 2024-09-26 Saeed Omidi , Gianluca Fabi , Xiaopeng Wang , James C. M. Hwang , Yevgeny Berdichevsky

The initiation of directional cell motion requires symmetry breaking that can happen both with or without external stimuli. During cell crawling, forces generated by the cytoskeleton and their transmission through mechanosensitive adhesions…

Cell Behavior · Quantitative Biology 2023-06-02 Yuzhu Chen , David Saintillan , Padmini Rangamani

The unique nonlinear mechanics of the fibrous extracellular matrix (ECM) facilitates long-range cell-cell mechanical communications that would be impossible on linear elastic substrates. Past research has described the contribution of two…

Biological Physics · Physics 2019-05-14 Shahar Goren , Yoni Koren , Xinpeng Xu , Ayelet Lesman

Many cell types display random motility on two-dimensional substrates, but crawl persistently in a single direction when confined in a microchannel or on an adhesive micropattern. Does this imply that the motility mechanism of confined…

Biological Physics · Physics 2014-06-13 Brian A. Camley , Wouter-Jan Rappel

Crawling cell motility is vital to many biological processes such as wound healing and the immune response. Using a minimal model we investigate the effects of patterned substrate adhesiveness and biophysical cell parameters on the…

Cell Behavior · Quantitative Biology 2017-11-22 Matthew S. Mizuhara , Leonid Berlyand , Igor S. Aronson

A time-dependent approach is used to explore inelastic effects during electron transport through few-level systems. We study a tight-binding chain with one and two sites connected to vibrations. This simple but transparent model gives…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Monturet , N. Lorente

The effects of cell size and deformability on the lateral migration and deformation of living cells flowing through a rectangular microchannel has been numerically investigated and compared with the inertial-microfluidics data on detection…

Fluid Dynamics · Physics 2013-06-21 Hongzhi Lan , Soojung Claire Hur , Dino Di Carlo , Damir B. Khismatullin

We present a comprehensive study of exciton wave packet evolution in disordered lossless polaritonic wires. Our simulations reveal signatures of ballistic, diffusive, and subdiffusive exciton dynamics under strong light-matter coupling and…

Quantum Physics · Physics 2023-09-27 Gustavo J. R. Aroeira , Kyle Kairys , Raphael F. Ribeiro

The migration behavior of colliding cells is critically determined by transient contact-interactions. During these interactions, the motility machinery, including the front-rear polarization of the cell, dynamically responds to surface…

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

We consider a free boundary model of epithelial cell migration with logistic growth and nonlinear diffusion induced by mechanical interactions. Using numerical simulations, phase plane and perturbation analysis, we find and analyse…

Pattern Formation and Solitons · Physics 2020-10-05 Ryan J Murphy , Pascal R Buenzli , Ruth E Baker , Matthew J Simpson

Stem cells, through their ability to produce daughter stem cells and differentiate into specialized cells, are essential in the growth, maintenance, and repair of biological tissues. Understanding the dynamics of cell populations in the…

Applications · Statistics 2026-02-02 Huyen Nguyen , Haim Bar , Zhiyi Chi , Vladimir Pozdnyakov

This article investigates a novel electrophoretic molecular communication mechanism that utilizes a time-varying electric field, which induces time-varying molecule velocities and in turn improves communication performance. For a sinusoidal…

Emerging Technologies · Computer Science 2021-12-21 Sunghwan Cho , Thomas C. Sykes , Justin P. Coon , Alfonso A. Castrejón-Pita

Cell motility in higher organisms (eukaryotes) is crucial to biological functions ranging from wound healing to immune response, and also implicated in diseases such as cancer. For cells crawling on hard surfaces, significant insights into…

Soft Condensed Matter · Physics 2015-06-24 E. Tjhung , A. Tiribocchi , D. Marenduzzo , M. E. Cates

Motile cells often explore natural environments characterized by a high degree of structural complexity. Moreover cell motility is also intrinsically noisy due to spontaneous random reorientation and speed fluctuations. This interplay of…

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