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

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

Physica A: Statistical Mechanics and its Applications, 2020, vol. 550, issue 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.

Keywords: Cell migration; Fürth equation (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:550:y:2020:i:c:s0378437120302168

DOI: 10.1016/j.physa.2020.124493

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