Human mammary epithelial cells exhibit a bimodal correlated random walk pattern

PLoS ONE

Volumn 5, Issue 3, 2010, Pages

  Potdar, Alka A ^a,b   Jeon, Junhwan ^a,b   Weaver, Alissa M ^b,c   Quaranta, Vito ^b,c   Cummings, Peter T ^a,b,d  

^a VANDERBILT UNIVERSITY   (United States)

^b VANDERBILT UNIVERSITY MEDICAL CENTER   (United States)

^c VANDERBILT UNIVERSITY SCHOOL OF MEDICINE   (United States)

^d OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NEURON SPECIFIC NUCLEAR PROTEIN; SODIUM CARBONATE;

ARTICLE; BIMODAL CORRELATED RANDOM WALK; BREAST EPITHELIUM; CELL MIGRATION; CELL SURVIVAL; CELL TYPE; CONTROLLED STUDY; HUMAN; HUMAN CELL; SIMULATION; SURVIVAL; THEORY; ALGORITHM; BIOLOGICAL MODEL; CELL MOTION; COMPUTER SIMULATION; DIFFUSION; EPITHELIUM CELL; MAMMARY GLAND; NORMAL DISTRIBUTION; PATHOLOGY; PHYSIOLOGY; STATISTICAL MODEL; THEORETICAL MODEL;

MAMMALIA;

ALGORITHMS; CELL MOVEMENT; COMPUTER SIMULATION; DIFFUSION; EPITHELIAL CELLS; HUMANS; LIKELIHOOD FUNCTIONS; MAMMARY GLANDS, HUMAN; MODELS, BIOLOGICAL; MODELS, STATISTICAL; MODELS, THEORETICAL; NORMAL DISTRIBUTION;

EID: 77949715458     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0009636     Document Type: Article

References (37)

1. Bray D (2001) Cell movements: from molecules to motility. NY: Garland Publishing. 372 p.
2. Chambers AF, Groom AC, MacDonald IC (2002) Dissemination and growth of cancer cells in metastatic sites. Nature Reviews Cancer 2: 563-572.
3. Le Douarin NM (1984) Cell migrations in embryos. Cell 38: 353-360.
4. Luster AD, Alon R, von Andrian UH (2005) Immune cell migration in inflammation: present and future therapeutic targets. Nature Immunology 6: 1182-1190.
5. Berg HC (1983) Random Walks in Biology. Princeton: Princeton University Press. 164 p.
6. Viswanathan GM, Raposo EP, Bartumeus F, Catalan J, da Luz MGE (2005) Necessary criterion for distinguishing true superdiffusion from correlated random walk processes. Physical Review E 72: 011111.
7. Bartumeus F, Da Luz MGE, Viswanathan GM, Catalan J (2005) Animal search strategies: A quantitative random-walk analysis. Ecology 86: 3078-3087.
8. Sims DW, Southall EJ, Humphries NE, Hays GC, Bradshaw CJA, et al. (2008) Scaling laws of marine predator search behaviour. Nature 451: 1098-U1095.
9. Tsallis C (1997) Levy distributions. Physics World 10: 42-45.
10. Shlesinger MF, Zaslavsky GM, Frisch U (1995) Lévy Flights and Related Topics in Physics. Berlin: Springer. 347 p.
11. Shiesinger MF, Klafter J (1986) Levy walks versus Levy flights. In: Stanley HE, N. O, eds. On Growth and Form: Fractal and Non-Fractal Patterns in Physics. Amsterdam: Martinus Nijhof Publishers. pp 279-283.
12. Viswanathan GM, Buldyrev SV, Havlin S, da Luz MGE, Raposo EP, et al. (1999) Optimizing the success of random searches. Nature 401: 911-914.
13. Bartumeus F, Catalan J, Fulco UL, Lyra ML, Viswanathan GM (2002) Optimizing the encounter rate in biological interactions: Levy versus Brownian strategies. Physical Review Letters 88: 097901-097901:097904.
14. Viswanathan GM, Afanasyev V, Buldyrev SV, Murphy EJ, Prince PA, et al. (1996) Levy flight search patterns of wandering albatrosses. Nature 381: 413-415.
15. Ramos-Fernandez G, Mateos JL, Miramontes O, Cocho G, Larralde H, et al. (2004) Levy walk patterns in the foraging movements of spider monkeys (Ateles geoffroyi). Behavioral Ecology and Sociobiology 55: 223-230.
16. Bartumeus F, Peters F, Pueyo S, Marrase C, Catalan J (2003) Helical Levy walks: Adjusting searching statistics to resource availability in microzooplankton. Proceedings of the National Academy of Sciences of the United States of America 100: 12771-12775.
17. Levandowsky M, White BS, Schuster FL (1997) Random movements of soil amebas. Acta Protozoologica 36: 237-248.
18. Upadhyaya A, Rieu JP, Glazier JA, Sawada Y (2001) Anomalous diffusion and non-Gaussian velocity distribution of Hydra cells in cellular aggregates. Physica A 293: 549-558.
19. Brockmann D, Hufnagel L, Geisel T (2006) The scaling laws of human travel. Nature 439: 462-465.
20. Benhamou S (2007) How many animals really do the Levy walk? Ecology 88: 1962-1969.
21. Edwards A (2008) Using likelihood to test for Lévy flight search patterns and for general power-law distributions in nature. Journal of Animal Ecology 77: 1212-1222.
22. Edwards A, Phillips R, Watkins N, Freeman M, Murphy E, et al. (2007) Revisiting Levy flight search patterns of wandering albatrosses, bumblebees and deer. Nature 449: 1044-U1045.
23. Sims DW, Righton D, Pitchford JW (2007) Minimizing errors in identifying Levy flight behaviour of organisms. Journal of Animal Ecology 76: 222-229.
24. Bénichou O, Loverdo C, Moreau M, Voituriez R (2006) Two-dimensional intermittent search processes: An alternative to Lévy flight strategies. Physical Review E 74: 020102-020101:020104.
25. Lomholt MA, Koren T, Metzler R, Klafter J (2008) Levy strategies in intermittent search processes are advantageous. Proceedings of the National Academy of Sciences of the United States of America 105: 11055-11059.
26. Newman MEJ (2005) Power laws, Pareto distributions and Zipf's law. Contemporary Physics 46: 323-351.
27. Stokes CL, Lauffenburger DA, Williams SK (1991) Migration of Individual Microvessel Endothelial-Cells - Stochastic-Model and Parameter Measurement. Journal of Cell Science 99: 419-430.
28. Li L, Nørrelykke SF, Cox EC (2008) Persistent cell motion in the absence of external signals: a search strategy for eukaryotic cells. PLoS ONE 3: e2093.
29. Bosgraaf L, Van Haastert PJM (2009) The Ordered Extension of Pseudopodia by Amoeboid Cells in the Absence of External Cues. PLoS ONE 4: Article No.: e5253.
30. Van Haastert PJM, Bosgraaf L (2009) Food Searching Strategy of Amoeboid Cells by Starvation Induced Run Length Extension. PLoS ONE 4: Article No.: e6814.
31. Potdar AA, Lu J, Jeon J, Weaver AM, Cummings PT (2009) Bimodal Analysis of Mammary Epithelial Cell Migration in Two Dimensions. Annals of Biomedical Engineering 37: 230-245.
32. Bosgraaf L, van Haastert PJM, Bretschneider T (2009) Analysis of Cell Movement by Simultaneous Quantification of Local Membrane Displacement and Fluorescent Intensities Using Quimp2. Cell Motility and the Cytoskeleton 66: 156-165.
33. Berg HC, Brown DA (1972) Chemotaxis in Escherichia-Coli Analyzed by 3-Dimensional Tracking. Nature 239: 500-504.
34. Othmer HG, Dunbar SR, Alt W (1988) Models Of Dispersal In Biological-Systems. Journal Of Mathematical Biology 26: 263-298.
35. Berg HC, Brown DA (1974) Chemotaxis in Escherichia coli analyzed by three-dimensional tracking. Addendum. Antibiotics and Chemotherapy 19: 55-78.
36. Byers JA (2001) Correlated random walk equations of animal dispersal resolved by simulation. Ecology 82: 1680-1690.
37. Cain ML (1985) Random search by herbivorous insects - A simulation-model. Ecology 66: 876-888.