Dynamics of a deformable self-propelled domain

Hiraiwa, Tetsuya; Matsuo, Mitsuhiro; Ohkuma, Takahiro; Ohta, Takao; Sano, Masaki

doi:10.1209/0295-5075/91/20001

Cited by 51 publications

(65 citation statements)

References 26 publications

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“…The decomposition of hydrogen peroxide (2H 2 O 2 → 2H 2 O + O 2 ) proceeds on the surface of the Pt particles, which leads to non-Brownian motion of the particles. After the convection calmed down (a few minutes), we observed the movement of the Pt particles and their aggregates in hydrogen peroxide water at room temperature (20)(21)(22)(23)(24)(25) • C) using an optical microscope (Olympus IX71, Olympus Co.) and a high-speed CCD (charge-coupled device) camera (120 frames/s). O 2 microbubbles were not observed on the surface of the Pt particles or aggregates, and the bulk concentrations of hydrogen peroxide remained unchanged during the observation, although macroscopic bubbles appeared on the surface of the bulk hydrogen peroxide solution.…”

Section: Methodsmentioning

confidence: 99%

“…The quantitative analysis of the aggregate shape is necessary to describe the relationship between morphology and the motion type. Aggregate shape is characterized in two dimensions by a method similar to that of Hiraiwa et al 20 R(θ ) is the length between the center of gravity and the edge at angle θ (−π ≤ θ ≤ π ) from a certain axis tilted at angle ψ (0 ≤ ψ ≤ π ) in a counterclockwise direction (see Fig. 4 …”

Section: Analysis Of the Aggregate Shapementioning

confidence: 99%

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Catalytic micromotor generating self-propelled regular motion through random fluctuation

Yamamoto

Mukai

Okita

et al. 2013

The Journal of Chemical Physics

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Most of the current studies on nano/microscale motors to generate regular motion have adapted the strategy to fabricate a composite with different materials. In this paper, we report that a simple object solely made of platinum generates regular motion driven by a catalytic chemical reaction with hydrogen peroxide. Depending on the morphological symmetry of the catalytic particles, a rich variety of random and regular motions are observed. The experimental trend is well reproduced by a simple theoretical model by taking into account of the anisotropic viscous effect on the self-propelled active Brownian fluctuation.

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Section: Methodsmentioning

confidence: 99%

Section: Analysis Of the Aggregate Shapementioning

confidence: 99%

Catalytic micromotor generating self-propelled regular motion through random fluctuation

Yamamoto

Mukai

Okita

et al. 2013

The Journal of Chemical Physics

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“…In particular, the coupling between deformation and spontaneous motion has been actively investigated and several important and interesting studies, both experimental and theoretical, have been reported. For example, Ohta et al proposed a generic model for the coupling between deformation and spontaneous motion by analyzing such coupling from the viewpoint of the bifurcation theory of dynamical systems [1][2][3]. Teramoto et al studied the coupling between deformation and motion in pulse propagation in a reaction-diffusion system [4].…”

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confidence: 99%

Spontaneous motion of an elliptic camphor particle

2013

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The coupling between deformation and motion in a self-propelled system has attracted broader interest. In the present study, we consider an elliptic camphor particle for investigating the effect of particle shape on spontaneous motion. It is concluded that the symmetric spatial distribution of camphor molecules at the water surface becomes unstable first in the direction of a short axis, which induces the camphor disk motion in this direction. Experimental results also support the theoretical analysis. From the present results, we suggest that when an elliptic particle supplies surface-active molecules to the water surface, the particle can exhibit translational motion only in the short-axis direction. Spontaneous motion in nonequilibrium systems has long attracted the interest of scientists because it is related to the motion of living organisms. In particular, the coupling between deformation and spontaneous motion has been actively investigated and several important and interesting studies, both experimental and theoretical, have been reported. For example, Ohta et al. proposed a generic model for the coupling between deformation and spontaneous motion by analyzing such coupling from the viewpoint of the bifurcation theory of dynamical systems [1][2][3]. Teramoto et al. studied the coupling between deformation and motion in pulse propagation in a reaction-diffusion system [4]. In experiments, cell motion is analyzed in relation to cell shape [5][6][7], and mathematical models have also been proposed for such cell deformation [8,9].For investigating the coupling between motion and deformation, one approach is to decouple them; i.e., we consider the effect of particle shape on motion. For this purpose, we chose a camphor-water system, in which a camphor particle exhibits spontaneous motion but not deformation. The camphor-water system was first reported in the 19th century [10,11]. As a camphor particle is placed on pure water, it exhibits spontaneous motion. The mechanism of the motion is briefly described as follows [12,13]: Camphor molecules escape from the camphor particle to the water surface. Since camphor has a surface activity, the camphor molecules at the water surface reduce the surface tension. It should be noted that the camphor molecules sublimate to the air, so that the profile of the surface concentration of camphor molecules at the water surface can reach a steady state. If the camphor particle is circular and does not move, the profile of the surface concentration of camphor molecules should be symmetric with respect to the center of the camphor particle. However, it is known that such a steady state can become unstable by an infinitesimal fluctuation. In such a case, motion in a certain direction at a constant velocity is stabilized and realized. Consequently, the profile of * Corresponding author: kitahata@physics.s.chiba-u.ac.jp the surface concentration becomes asymmetric [14][15][16]. This camphor-water system has attracted attention since it exhibits interesting and complicated phenomena ...

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“…For example, the effect of the shape on the motion of self-propelled objects without gradient sensing has been investigated extensively [19,20]. The gradient sensing ability can also be sensitive to the cell shape [21,14,15].…”

Section: Taking Cell Shape Into Accountmentioning

confidence: 99%

Theoretical model for cell migration with gradient sensing and shape deformation

2013

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Abstract. Amoeboid cells take various shapes during migration, depending on the cell type and its environment. Deformability of the cell shape can then affect the migrating behavior. In this article, we introduce a theoretical model of chemotactic cell migration with elliptical shape deformation. Based on the model, we calculate the stationary distributions of the migration directions analytically. As a result, we find that the distributions show different characteristics depending on the difference in the interdependence of the internal polarity, cell morphology and gradient sensing.

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Dynamics of a deformable self-propelled domain

Cited by 51 publications

References 26 publications

Catalytic micromotor generating self-propelled regular motion through random fluctuation

Catalytic micromotor generating self-propelled regular motion through random fluctuation

Spontaneous motion of an elliptic camphor particle

Theoretical model for cell migration with gradient sensing and shape deformation

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