7 research outputs found

    Directional persistence of a mathematical model cell.

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    <p>(a) Two sample traces of crawling model cells. (b) Mean squared displacement for seven different values of control parameter <i>K</i><sub><i>decay</i></sub>. (c) Auto-correlation functions of the instantaneous direction of crawling. (d) Directional persistent time <i>τ</i><sub>2</sub> and superdiffusiveness exponent <i>γ</i> vs. <i>K</i><sub><i>decay</i></sub>. The insets in (a) show two representative snapshot images of the model cells. The blue (red) dashed line in (b) has a slope of 2 (1). The large (small) scale bar is 250 (20) <i>μm</i>. The variations in <i>τ</i><sub>2</sub> and <i>γ</i> brought about by a different initial condition (positions and random seed number) are less than 0.5% (n = 5).</p

    Shapes and statistical properties of the trail networks for different values of <i>K</i><sub><i>decay</i></sub>.

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    <p>(a) Skeletonized networks of trails (red stars mark the nodes). (b) Probability density function of the distance between two immediately connected neighboring nodes. (c) Mean distance vs. <i>K</i><sub><i>decay</i></sub> (error bars represent standard deviations). (d) Skewness vs. <i>K</i><sub><i>decay</i></sub>. The standard deviation of the mean distance and and that of the skewness are about 10% with different initial conditions (n = 5).</p

    Chemotaxing model cell population.

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    <p>(a) 2,000 model cells (green) under a constant radial gradient of chemoattractant <i>p</i> (red). (b) Equilibrium density state for <i>K</i><sub><i>decay</i></sub> = 0.04 superimposed with an exemplary trace (blue) of a cell (red: start, black: end). (c) Density distribution at an equilibrium. (d) Chemotactic surface current density vs. surface density; the inset plots the slopes. (e) Diffusive surface current density vs. surface density gradient. (f) Effective diffusion coefficients [blue: estimation from (e), red: estimation from <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0154717#pone.0154717.g001" target="_blank">Fig 1b</a>]. Blue (red) error bars in (f) represent the uncertainty associated with the linear least square fitting of the data in Fig 2e (<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0154717#pone.0154717.g001" target="_blank">Fig 1b</a>). The red dashed line in (c) represents an exponential fit of the data. The variations in <i>α</i> and <i>D</i> brought about by a different initial condition are less than 0.5% (n = 5).</p
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