Inversely correlated cycles in speed and turning in an ameba

An oscillatory model of cell locomotion

A. D. Shenderov, Michael Sheetz

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

Previous biophysical models of ameboid crawling have described cell movement in terms of a persistent random walk. Speed and orientation were treated in the latter model as independent and temporally homogeneous stochastic processes. We show here that, at least in the case of Dictyostelium discoideum, both speed control and reorientation processes involve a deterministic, periodic component. We also show that the processes are synchronized and negatively correlated, as was suggested by earlier findings. That is, increased turning correlates with periods of slow movement. Therefore, previous models are inconsistent with the behavior of cells. Using a heuristic approach, we have developed a mathematical model that describes the statistical properties of the cell's velocity and movement of its centroid. Our observations and the model are consistent with the phenomenological description of ameboid motility as a cyclic process of pseudopod extension and retraction.

Original languageEnglish (US)
Pages (from-to)2382-2389
Number of pages8
JournalBiophysical Journal
Volume72
Issue number5
DOIs
StatePublished - Jan 1 1997
Externally publishedYes

Fingerprint

Amoeba
Cell Movement
Stochastic Processes
Pseudopodia
Dictyostelium
Theoretical Models
Heuristics

ASJC Scopus subject areas

  • Biophysics

Cite this

Inversely correlated cycles in speed and turning in an ameba : An oscillatory model of cell locomotion. / Shenderov, A. D.; Sheetz, Michael.

In: Biophysical Journal, Vol. 72, No. 5, 01.01.1997, p. 2382-2389.

Research output: Contribution to journalArticle

@article{38e8b0399a9c42a0a56512bf09ce4483,
title = "Inversely correlated cycles in speed and turning in an ameba: An oscillatory model of cell locomotion",
abstract = "Previous biophysical models of ameboid crawling have described cell movement in terms of a persistent random walk. Speed and orientation were treated in the latter model as independent and temporally homogeneous stochastic processes. We show here that, at least in the case of Dictyostelium discoideum, both speed control and reorientation processes involve a deterministic, periodic component. We also show that the processes are synchronized and negatively correlated, as was suggested by earlier findings. That is, increased turning correlates with periods of slow movement. Therefore, previous models are inconsistent with the behavior of cells. Using a heuristic approach, we have developed a mathematical model that describes the statistical properties of the cell's velocity and movement of its centroid. Our observations and the model are consistent with the phenomenological description of ameboid motility as a cyclic process of pseudopod extension and retraction.",
author = "Shenderov, {A. D.} and Michael Sheetz",
year = "1997",
month = "1",
day = "1",
doi = "10.1016/S0006-3495(97)78883-0",
language = "English (US)",
volume = "72",
pages = "2382--2389",
journal = "Biophysical Journal",
issn = "0006-3495",
publisher = "Biophysical Society",
number = "5",

}

TY - JOUR

T1 - Inversely correlated cycles in speed and turning in an ameba

T2 - An oscillatory model of cell locomotion

AU - Shenderov, A. D.

AU - Sheetz, Michael

PY - 1997/1/1

Y1 - 1997/1/1

N2 - Previous biophysical models of ameboid crawling have described cell movement in terms of a persistent random walk. Speed and orientation were treated in the latter model as independent and temporally homogeneous stochastic processes. We show here that, at least in the case of Dictyostelium discoideum, both speed control and reorientation processes involve a deterministic, periodic component. We also show that the processes are synchronized and negatively correlated, as was suggested by earlier findings. That is, increased turning correlates with periods of slow movement. Therefore, previous models are inconsistent with the behavior of cells. Using a heuristic approach, we have developed a mathematical model that describes the statistical properties of the cell's velocity and movement of its centroid. Our observations and the model are consistent with the phenomenological description of ameboid motility as a cyclic process of pseudopod extension and retraction.

AB - Previous biophysical models of ameboid crawling have described cell movement in terms of a persistent random walk. Speed and orientation were treated in the latter model as independent and temporally homogeneous stochastic processes. We show here that, at least in the case of Dictyostelium discoideum, both speed control and reorientation processes involve a deterministic, periodic component. We also show that the processes are synchronized and negatively correlated, as was suggested by earlier findings. That is, increased turning correlates with periods of slow movement. Therefore, previous models are inconsistent with the behavior of cells. Using a heuristic approach, we have developed a mathematical model that describes the statistical properties of the cell's velocity and movement of its centroid. Our observations and the model are consistent with the phenomenological description of ameboid motility as a cyclic process of pseudopod extension and retraction.

UR - http://www.scopus.com/inward/record.url?scp=0030892179&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030892179&partnerID=8YFLogxK

U2 - 10.1016/S0006-3495(97)78883-0

DO - 10.1016/S0006-3495(97)78883-0

M3 - Article

VL - 72

SP - 2382

EP - 2389

JO - Biophysical Journal

JF - Biophysical Journal

SN - 0006-3495

IS - 5

ER -