Quantitative analysis of random ameboid motion

被引:57
作者
Boedeker, H. U. [1 ]
Beta, C. [2 ,3 ]
Frank, T. D. [4 ]
Bodenschatz, E. [3 ]
机构
[1] WWU Munster, Inst Angew Phys, D-48149 Munster, Germany
[2] Univ Potsdam, Inst Phys & Astron, D-14476 Potsdam, Germany
[3] Max Planck Inst Dynam & Self Org, D-37077 Gottingen, Germany
[4] Univ Connecticut, Ctr Ecol Study Percept & Act, Storrs, CT 06269 USA
关键词
CELL MOTILITY; CHEMOTAXIS; DIFFUSION; MODEL;
D O I
10.1209/0295-5075/90/28005
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We quantify random migration of the social ameba Dictyostelium discoideum. We demonstrate that the statistics of cell motion can be described by an underlying Langevin-type stochastic differential equation. An analytic expression for the velocity distribution function is derived. The separation into deterministic and stochastic parts of the movement shows that the cells undergo a damped motion with multiplicative noise. Both contributions to the dynamics display a distinct response to external physiological stimuli. The deterministic component depends on the developmental state and ambient levels of signaling substances, while the stochastic part does not. Copyright (C) EPLA, 2010
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页数:5
相关论文
共 31 条
[1]   Chemotaxis in shallow gradients is mediated independently of PtdIns 3-kinase by biased choices between random protrusions [J].
Andrew, Natalie ;
Insall, Robert H. .
NATURE CELL BIOLOGY, 2007, 9 (02) :193-U91
[2]  
Berg HC., 2003, E. coli in motion
[3]   Noise-covered drift bifurcation of dissipative solitons in a planar gas-discharge system -: art. no. 056220 [J].
Bödeker, HU ;
Röttger, MC ;
Liehr, AW ;
Frank, TD ;
Friedrich, R ;
Purwins, HG .
PHYSICAL REVIEW E, 2003, 67 (05) :12
[4]   Exponential distribution of locomotion activity in cell cultures [J].
Czirok, A ;
Schlett, K ;
Madarasz, E ;
Vicsek, T .
PHYSICAL REVIEW LETTERS, 1998, 81 (14) :3038-3041
[5]   Anomalous dynamics of cell migration [J].
Dieterich, Peter ;
Klages, Rainer ;
Preuss, Roland ;
Schwab, Albrecht .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2008, 105 (02) :459-463
[6]   Description of a turbulent cascade by a Fokker-Planck equation [J].
Friedrich, R ;
Peinke, J .
PHYSICAL REVIEW LETTERS, 1997, 78 (05) :863-866
[7]   The Brownian motion with consideration of the longevity of the direction of movement. [J].
Furth, R .
ZEITSCHRIFT FUR PHYSIK, 1920, 2 :244-256
[8]  
GEISEL T, 1985, PHYS REV LETT, V54, P616, DOI 10.1103/PhysRevLett.54.616
[9]   Analysis of time series from stochastic processes [J].
Gradisek, J ;
Siegert, S ;
Friedrich, R ;
Grabec, I .
PHYSICAL REVIEW E, 2000, 62 (03) :3146-3155
[10]   STOCHASTIC-PROCESSES - TIME EVOLUTION, SYMMETRIES AND LINEAR RESPONSE [J].
HANGGI, P ;
THOMAS, H .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1982, 88 (04) :207-319