Characterization of anomalous movements of spherical living cells on a silicon dioxide glassy substrate.

The random walk of spherical living cells on a silicon dioxide glassy substrate was studied experimentally and numerically. This random walk trajectory exhibited erratic dancing, which seemingly obeyed anomalous diffusion (i.e., Lévy-like walk) rather than normal diffusion. Moreover, the angular distribution (-π to π) of the cells' trajectory followed a "U-shaped pattern" in comparison to the uniform distribution seen in the movements of negatively charged polystyrene microspheres. These effects could be attributable to the homeostasis-driven structural resilient character of cells and physical interactions derived from temporarily retained nonspecific binding due to weak forces between the cells and substrates. Our results provide new insights into the stochastic behavior of mesoscopic biological particles with respect to structural properties and physical interactions.

[1]  Daniel A Fletcher,et al.  Chemotherapy exposure increases leukemia cell stiffness. , 2007, Blood.

[2]  Andrea J. Liu,et al.  Generalized Lévy walks and the role of chemokines in migration of effector CD8+ T cells , 2012, Nature.

[3]  Søren Vedel,et al.  Migration of cells in a social context , 2012, Proceedings of the National Academy of Sciences.

[4]  Linhong Deng,et al.  Universal physical responses to stretch in the living cell , 2007, Nature.

[5]  A. Kuznetsov,et al.  Intracellular transport of insulin granules is a subordinated random walk , 2013, Proceedings of the National Academy of Sciences.

[6]  Elena Agliari,et al.  Cancer-driven dynamics of immune cells in a microfluidic environment , 2014, Scientific Reports.

[7]  A. Caspi,et al.  Diffusion and directed motion in cellular transport. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  J. Bouchaud,et al.  Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications , 1990 .

[9]  Bin Liu,et al.  Accurate particle position measurement from images. , 2007, The Review of scientific instruments.

[10]  K. Higashitani,et al.  Chemical Groups that Adhere to the Surfaces of Living Malignant Cells , 2007, Pharmaceutical Research.

[11]  Jens Glaser,et al.  Glass transition and rheological redundancy in F-actin solutions , 2007, Proceedings of the National Academy of Sciences.

[12]  Y. Garini,et al.  Transient anomalous diffusion of telomeres in the nucleus of mammalian cells. , 2009, Physical review letters.

[13]  Ilsoo Kim,et al.  Bacterial recognition of silicon nanowire arrays. , 2013, Nano letters.

[14]  Liang Li,et al.  ‘Dicty dynamics’: Dictyostelium motility as persistent random motion , 2011, Physical biology.

[15]  Kevin W Eliceiri,et al.  NIH Image to ImageJ: 25 years of image analysis , 2012, Nature Methods.

[16]  Sung Chul Bae,et al.  Anomalous yet Brownian , 2009, Proceedings of the National Academy of Sciences.

[17]  Sung Chul Bae,et al.  When Brownian diffusion is not Gaussian. , 2012, Nature Materials.

[18]  Aaron R. Dinner,et al.  Distribution of directional change as a signature of complex dynamics , 2013, Proceedings of the National Academy of Sciences.

[19]  Yiider Tseng,et al.  Micromechanical mapping of live cells by multiple-particle-tracking microrheology. , 2002, Biophysical journal.

[20]  D. Ingber Tensegrity I. Cell structure and hierarchical systems biology , 2003, Journal of Cell Science.

[21]  A. Senecal,et al.  Mass and Density Measurements of Live and Dead Gram-Negative and Gram-Positive Bacterial Populations , 2014, Applied and Environmental Microbiology.

[22]  D. Navajas,et al.  Scaling the microrheology of living cells. , 2001, Physical review letters.

[23]  Ali Beskok,et al.  Dielectrophoretic separation of mouse melanoma clones. , 2010, Biomicrofluidics.

[24]  Daniel S. Banks,et al.  Anomalous diffusion of proteins due to molecular crowding. , 2005, Biophysical journal.

[25]  N. Katsuta,et al.  Higher cell stiffness indicating lower metastatic potential in B16 melanoma cell variants and in (−)-epigallocatechin gallate-treated cells , 2012, Journal of Cancer Research and Clinical Oncology.

[26]  E. Schutter,et al.  Anomalous Diffusion in Purkinje Cell Dendrites Caused by Spines , 2006, Neuron.

[27]  A. S. G. Curtis,et al.  THE MECHANISM OF ADHESION OF CELLS TO GLASS , 1964, The Journal of cell biology.

[28]  Mehmet Toner,et al.  Circulating tumor cells: approaches to isolation and characterization , 2011, The Journal of cell biology.

[29]  G. Wang,et al.  Bidirectional Regulation of Neutrophil Migration by MAP Kinases , 2012, Nature Immunology.

[30]  Denis Wirtz,et al.  Three-dimensional cell migration does not follow a random walk , 2014, Proceedings of the National Academy of Sciences.

[31]  M. Nobili,et al.  Brownian Motion of an Ellipsoid , 2006, Science.

[32]  Aydogan Ozcan,et al.  High-throughput lensfree 3D tracking of human sperms reveals rare statistics of helical trajectories , 2012, Proceedings of the National Academy of Sciences.

[33]  Y. Dufrêne,et al.  Probing microbial cell surface charges by atomic force microscopy , 2002 .

[34]  A. Einstein Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen [AdP 17, 549 (1905)] , 2005, Annalen der Physik.

[35]  Luke P. Lee,et al.  Noninvasive label-free nanoplasmonic optical imaging for real-time monitoring of in vitro amyloid fibrogenesis. , 2014, Nanoscale.

[36]  Alka A. Potdar,et al.  Human Mammary Epithelial Cells Exhibit a Bimodal Correlated Random Walk Pattern , 2010, PloS one.