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- Title
SCALE INVARIANCE IN SELECTIN-MEDIATED LEUKOCYTE ROLLING.
- Authors
R. King, Michael
- Abstract
White blood cells slowly roll along the walls of blood vessels, due to the coordinated formation and breakage of chemical selectin-carbohydrate bonds. Using detailed computer simulations of cells rolling on a selectin surface under flow, we show the time series of the cell translational velocity to be fractal in nature over time scales ranging from 22–211 ms. A rescaled range analysis was performed to determine the Hurst exponent of the velocity time series, for simulations of cells rolling on either a uniform or punctate distribution of P-selectin molecules. The rolling behavior was found to exhibit two very distinct regimes, with a negative Hurst exponent ranging from -(1.2-0.6) over time scales of 23-27 ms, and a positive Hurst exponent of +0.47±0.03 over time scales of 27-211 ms. The short-time Hurst exponent was found to be a strong function of the molecular distribution and also a function of average molecular density, while the long-time Hurst exponent was unchanged over all conditions studied. The implication is that the short-time adhesive behavior of cells interacting with a reactive surface is sensitive to the spatial arrangement of molecules, and the total number of molecules on the surface.
- Subjects
LEUCOCYTE motility; SCALING laws (Statistical physics); SELECTINS; LEUCOCYTES; CELL adhesion; CYTOLOGY; DENSITY
- Publication
Fractals, 2004, Vol 12, Issue 2, p235
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X04002525