Nonmotile Single-Cell Migration as a Random Walk in Nonuniformity: The “Extreme Dumping Limit” for Cell-to-Cell Communications
In the present work, we model single-cell movement as a random walk in an external potential observed within the extreme dumping limit, which we define herein as the extreme nonuniform behavior observed for cell responses and cell-to-cell communications. Starting from the Newton–Langevin equation of...
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doaj-d1e1c6e7387d4c8dbf1469ed3d2523692020-11-24T22:02:25ZengHindawi LimitedJournal of Healthcare Engineering2040-22952040-23092018-01-01201810.1155/2018/96807139680713Nonmotile Single-Cell Migration as a Random Walk in Nonuniformity: The “Extreme Dumping Limit” for Cell-to-Cell CommunicationsGrigorios P. Panotopoulos0Sebastian Aguayo1Ziyad S. Haidar2BioMAT’X, Facultad de Odontología, Universidad de Los Andes, Santiago, ChileSchool of Dentistry, Pontificia Universidad Católica de Chile, Santiago, ChileBioMAT’X, Facultad de Odontología, Universidad de Los Andes, Santiago, ChileIn the present work, we model single-cell movement as a random walk in an external potential observed within the extreme dumping limit, which we define herein as the extreme nonuniform behavior observed for cell responses and cell-to-cell communications. Starting from the Newton–Langevin equation of motion, we solve the corresponding Fokker–Planck equation to compute higher moments of the displacement of the cell, and then we build certain quantities that can be measurable experimentally. We show that, each time, the dynamics depend on the external force applied, leading to predictions distinct from the standard results of a free Brownian particle. Our findings demonstrate that cell migration viewed as a stochastic process is still compatible with biological and experimental observations without the need to rely on more complicated or sophisticated models proposed previously in the literature.http://dx.doi.org/10.1155/2018/9680713 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Grigorios P. Panotopoulos Sebastian Aguayo Ziyad S. Haidar |
spellingShingle |
Grigorios P. Panotopoulos Sebastian Aguayo Ziyad S. Haidar Nonmotile Single-Cell Migration as a Random Walk in Nonuniformity: The “Extreme Dumping Limit” for Cell-to-Cell Communications Journal of Healthcare Engineering |
author_facet |
Grigorios P. Panotopoulos Sebastian Aguayo Ziyad S. Haidar |
author_sort |
Grigorios P. Panotopoulos |
title |
Nonmotile Single-Cell Migration as a Random Walk in Nonuniformity: The “Extreme Dumping Limit” for Cell-to-Cell Communications |
title_short |
Nonmotile Single-Cell Migration as a Random Walk in Nonuniformity: The “Extreme Dumping Limit” for Cell-to-Cell Communications |
title_full |
Nonmotile Single-Cell Migration as a Random Walk in Nonuniformity: The “Extreme Dumping Limit” for Cell-to-Cell Communications |
title_fullStr |
Nonmotile Single-Cell Migration as a Random Walk in Nonuniformity: The “Extreme Dumping Limit” for Cell-to-Cell Communications |
title_full_unstemmed |
Nonmotile Single-Cell Migration as a Random Walk in Nonuniformity: The “Extreme Dumping Limit” for Cell-to-Cell Communications |
title_sort |
nonmotile single-cell migration as a random walk in nonuniformity: the “extreme dumping limit” for cell-to-cell communications |
publisher |
Hindawi Limited |
series |
Journal of Healthcare Engineering |
issn |
2040-2295 2040-2309 |
publishDate |
2018-01-01 |
description |
In the present work, we model single-cell movement as a random walk in an external potential observed within the extreme dumping limit, which we define herein as the extreme nonuniform behavior observed for cell responses and cell-to-cell communications. Starting from the Newton–Langevin equation of motion, we solve the corresponding Fokker–Planck equation to compute higher moments of the displacement of the cell, and then we build certain quantities that can be measurable experimentally. We show that, each time, the dynamics depend on the external force applied, leading to predictions distinct from the standard results of a free Brownian particle. Our findings demonstrate that cell migration viewed as a stochastic process is still compatible with biological and experimental observations without the need to rely on more complicated or sophisticated models proposed previously in the literature. |
url |
http://dx.doi.org/10.1155/2018/9680713 |
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1725835955461423104 |