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Parameterizing cell movement when the instantaneous cell migration velocity is ill-defined

Author

Listed:
  • Thomas, Gilberto L.
  • Fortuna, Ismael
  • Perrone, Gabriel C.
  • Glazier, James A.
  • Belmonte, Julio M.
  • de Almeida, Rita M.C.

Abstract

Cell crawling has usually been characterized by a diffusion constant D and instantaneous velocity 〈|v→|2〉. However, experimentally 〈|v→|2〉 diverges. A three regime (diffusive-ballistic-diffusive) modified Fürth equation parameterized by D, the dimensionless excess diffusion coefficient S and the persistence time P is compatible with experiment. S allows comparison of trajectories across experiments and sets limits on the intervals and duration of experiments required to assess cell movement. Cell trajectories in a variety of published experiments are consistent with longitudinal Langevin dynamics and a transverse Wiener process with S∼1+constant∗D−1.

Suggested Citation

  • Thomas, Gilberto L. & Fortuna, Ismael & Perrone, Gabriel C. & Glazier, James A. & Belmonte, Julio M. & de Almeida, Rita M.C., 2020. "Parameterizing cell movement when the instantaneous cell migration velocity is ill-defined," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    • Handle: RePEc:eee:phsmap:v:550:y:2020:i:c:s0378437120302168
    DOI: 10.1016/j.physa.2020.124493
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    Cited by:

    1. Azevedo, T.N. & Rizzi, L.G., 2022. "Time-correlated forces and biological variability in cell motility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    2. de Almeida, Rita M.C. & Giardini, Guilherme S.Y. & Vainstein, Mendeli & Glazier, James A. & Thomas, Gilberto L., 2022. "Exact solution for the Anisotropic Ornstein–Uhlenbeck process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    3. Thomas, Gilberto L. & Fortuna, Ismael & Perrone, Gabriel C. & Graner, François & de Almeida, Rita M.C., 2022. "Shape–velocity correlation defines polarization in migrating cell simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).

    More about this item

    Keywords

    Cell migration; Fürth equation;

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