Cell motility as random motion: A review

Abstract.The historical co-evolution of biological motility models with models of Brownian motion is outlined. Recent results for how to derive cell-type-specific motility models from experimental cell trajectories are reviewed. Experimental work in progress, which tests the generality of this phenomenological model building is reported. So is theoretical work in progress, which explains the characteristic time scales and correlations of phenomenological models in terms of the dynamics of cytoskeleton, lamellipodia, and pseudopodia.

[1]  D. Lemons,et al.  Paul Langevin’s 1908 paper “On the Theory of Brownian Motion” [“Sur la théorie du mouvement brownien,” C. R. Acad. Sci. (Paris) 146, 530–533 (1908)] , 1997 .

[2]  H. L. Dryden,et al.  Investigations on the Theory of the Brownian Movement , 1957 .

[3]  J. Theriot,et al.  Crawling toward a unified model of cell mobility: spatial and temporal regulation of actin dynamics. , 2004, Annual review of biochemistry.

[4]  Fernando Peruani,et al.  Self-propelled particles with fluctuating speed and direction of motion in two dimensions. , 2007, Physical review letters.

[5]  R. Fürth Einige Untersuchungen über Brownsche Bewegung an einem Einzelteilchen , 1917 .

[6]  G. Uhlenbeck,et al.  On the Theory of the Brownian Motion , 1930 .

[7]  K. Przibram Über die ungeordnete Bewegung niederer Tiere , 1913, Pflüger's Archiv für die gesamte Physiologie des Menschen und der Tiere.

[8]  Christoph F. Schmidt,et al.  Power spectrum analysis for optical tweezers. II: Laser wavelength dependence of parasitic filtering, and how to achieve high bandwidth , 2006 .

[9]  Abraham Pais,et al.  ``Subtle is the Lord...'': The Science and the Life of Albert Einstein , 1984 .

[10]  H. Flyvbjerg,et al.  Power spectrum analysis for optical tweezers , 2004 .

[11]  R. Fürth,et al.  Die Brownsche Bewegung bei Berücksichtigung einer Persistenz der Bewegungsrichtung. Mit Anwendungen auf die Bewegung lebender Infusorien , 1920 .

[12]  M H Gail,et al.  The locomotion of mouse fibroblasts in tissue culture. , 1970, Biophysical journal.

[13]  Henrik Flyvbjerg,et al.  Cell motility as persistent random motion: theories from experiments. , 2005, Biophysical journal.

[14]  D. Lauffenburger,et al.  Cell Migration: A Physically Integrated Molecular Process , 1996, Cell.