skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Human Mammary Epithelial Cells Exhibit a Bimodal Correlated Random Walk Pattern

Journal Article · · PLoS ONE
 [1];  [1];  [2];  [2];  [3]
  1. Vanderbilt University, Nashville, TN (United States); Vanderbilt Integrative Cancer Biology Center, Nashville, TN (United States)
  2. Vanderbilt Integrative Cancer Biology Center, Nashville, TN (United States); Vanderbilt University, Nashville, TN (United States)
  3. Vanderbilt University, Nashville, TN (United States); Vanderbilt Integrative Cancer Biology Center, Nashville, TN (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Organisms, at scales ranging from unicellular to mammals, have been known to exhibit foraging behavior described by random walks whose segments confirm to Lévy or exponential distributions. For the first time, we present evidence that single cells (mammary epithelial cells) that exist in multi-cellular organisms (humans) follow a bimodal correlated random walk (BCRW). Cellular tracks of MCF-10A pBabe, neuN and neuT random migration on 2-D plastic substrates, analyzed using bimodal analysis, were found to reveal the BCRW pattern. We find two types of exponentially distributed correlated flights (corresponding to what we refer to as the directional and re-orientation phases) each having its own correlation between move step-lengths within flights. The exponential distribution of flight lengths was confirmed using different analysis methods (logarithmic binning with normalization, survival frequency plots and maximum likelihood estimation). Because of the presence of non-uniform turn angle distribution of move step-lengths within a flight and two different types of flights, we propose that the epithelial random walk is a BCRW comprising of two alternating modes with varying degree of correlations, rather than a simple persistent random walk. A BCRW model rather than a simple persistent random walk correctly matches the super-diffusivity in the cell migration paths as indicated by simulations based on the BCRW model.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Biological and Environmental Research (BER); National Cancer Institute (NCI)
Grant/Contract Number:
AC05-00OR22725; 5U54CA113007-02
OSTI ID:
1627399
Journal Information:
PLoS ONE, Vol. 5, Issue 3; ISSN 1932-6203
Publisher:
Public Library of ScienceCopyright Statement
Country of Publication:
United States
Language:
English

References (23)

Analysis of cell movement by simultaneous quantification of local membrane displacement and fluorescent intensities using Quimp2 journal March 2009
Models of dispersal in biological systems journal June 1988
Bimodal Analysis of Mammary Epithelial Cell Migration in Two Dimensions journal November 2008
Cell migrations in embryos journal September 1984
Firategrast—natalizumab in a pill? journal February 2012
Chemotaxis in Escherichia coli analysed by Three-dimensional Tracking journal October 1972
Optimizing the success of random searches journal October 1999
Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer journal October 2007
Scaling laws of marine predator search behaviour journal February 2008
Dissemination and growth of cancer cells in metastatic sites journal August 2002
Levy strategies in intermittent search processes are advantageous journal July 2008
Helical Levy walks: Adjusting searching statistics to resource availability in microzooplankton journal October 2003
Lévy distributions journal July 1997
Necessary criterion for distinguishing true superdiffusion from correlated random walk processes journal July 2005
Two-dimensional intermittent search processes: An alternative to Lévy flight strategies journal August 2006
Optimizing the Encounter Rate in Biological Interactions: Lévy versus Brownian Strategies journal February 2002
Using likelihood to test for Lévy flight search patterns and for general power-law distributions in nature journal November 2008
Migration of individual microvessel endothelial cells: stochastic model and parameter measurement journal June 1991
The Ordered Extension of Pseudopodia by Amoeboid Cells in the Absence of External Cues journal April 2009
Food Searching Strategy of Amoeboid Cells by Starvation Induced Run Length Extension journal August 2009
Animal Search Strategies: a Quantitative Random-Walk Analysis journal November 2005
How many Animals Really do the lÉvy Walk? Comment journal August 2008
Persistent Cell Motion in the Absence of External Signals: A Search Strategy for Eukaryotic Cells text January 2008

Cited By (17)

Superstatistical analysis and modelling of heterogeneous random walks journal June 2015
Stochastic nonlinear dynamics of confined cell migration in two-state systems journal March 2019
Unimodal and bimodal random motions of independent exponential steps journal November 2014
Phagocytized Beads Reduce the α5β1 Integrin Facilitated Invasiveness of Cancer Cells by Regulating Cellular Stiffness journal January 2013
Disentangling the Behavioural Variability of Confined Cell Migration posted_content January 2019
Directionally Correlated Movement Can Drive Qualitative Changes in Emergent Population Distribution Patterns journal July 2019
Disentangling the behavioural variability of confined cell migration journal February 2020
Contact enhancement of locomotion in spreading cell colonies journal July 2017
Collective regulation of cell motility using an accurate density-sensing system journal March 2018
Disentangling the Behavioural Variability of Confined Cell Migration text January 2019
Ring-Shaped Microlanes and Chemical Barriers as a Platform for Probing Single-Cell Migration journal May 2016
Lévy-like movement patterns of metastatic cancer cells revealed in microfabricated systems and implicated in vivo journal October 2018
Design principles for generating robust gene expression patterns in dynamic engineered tissues journal February 2013
Quantitative and unbiased analysis of directional persistence in cell migration journal July 2014
The integrin alphav beta3 increases cellular stiffness and cytoskeletal remodeling dynamics to facilitate cancer cell invasion journal January 2013
Drift-Diffusion Analysis of Neutrophil Migration during Inflammation Resolution in a Zebrafish Model journal January 2012
Normal and Tumoral Melanocytes Exhibit q-Gaussian Random Search Patterns journal September 2014

Similar Records

Lévy-like movement patterns of metastatic cancer cells revealed in microfabricated systems and implicated in vivo
Journal Article · Wed Oct 31 00:00:00 EDT 2018 · Nature Communications · OSTI ID:1627399

Maxima of two random walks: Universal statistics of lead changes
Journal Article · Mon Apr 18 00:00:00 EDT 2016 · Journal of Physics. A, Mathematical and Theoretical · OSTI ID:1627399

Coastal Ohio Wind Project
Technical Report · Fri Apr 04 00:00:00 EDT 2014 · OSTI ID:1627399