From Passive Motion of Capsules to Active Motion of Cells

Barthès-Biesel, Dominique; Yamaguchi, Takami; Ishikawa, Takuji; Lac, Étienne

doi:10.1299/jbse.1.51

Cited by 7 publications

(4 citation statements)

References 55 publications

(72 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A viscous stress is exerted on the membrane owing to the motion of both the internal and external fluids. Understanding the deformation of capsules is important to predict their risk of rupture, either to prevent or favor it depending on the applications [1]. The capsule deformation is governed by fluid-structure interactions between the motion of the internal and external fluids and that of the capsule membrane.…”

Section: Introductionmentioning

confidence: 99%

Comparison between spring network models and continuum constitutive laws: Application to the large deformation of a capsule in shear flow

et al. 2011

Self Cite

View full text Add to dashboard Cite

A capsule is a liquid drop enclosed by a solid, deformable membrane. To analyze the deformation of a capsule accurately, both the fluid mechanics of the internal and external fluids and the solid mechanics of the membrane must be solved precisely. Recently, many researchers have used discrete spring network models to express the membrane mechanics of capsules and biological cells. However, it is unclear whether such modeling is sufficiently accurate to solve for capsule deformation. This study examines the correlations between the mechanical properties of the discrete spring network model and continuum constitutive laws. We first compare uniaxial and isotropic deformations of a two-dimensional (2D) sheet, both analytically and numerically. The 2D sheet is discretized with four kinds of mesh to analyze the effect of the spring network configuration. We derive the relationships between the spring constant and continuum properties, such as the Young modulus, Poisson ratio, area dilation modulus, and shear modulus. It is found that the mechanical properties of spring networks are strongly dependent on the mesh configuration. We then calculate the deformation of a capsule under inflation and in a simple shear flow in the Stokes flow regime, using various membrane models. To achieve high accuracy in the flow calculation, a boundary-element method is used. Comparing the results between the different membrane models, we find that it is hard to express the area incompressibility observed in biological membranes using a simple spring network model.

show abstract

Section: Introductionmentioning

confidence: 99%

Comparison between spring network models and continuum constitutive laws: Application to the large deformation of a capsule in shear flow

et al. 2011

Self Cite

View full text Add to dashboard Cite

show abstract

“…32) In order to elucidate the dynamics of these particles from a theoretical viewpoint, one needs to conduct studies of nonlinear dynamics and nonequilibrium statistical physics. A number of elaborate models have been studied for each specific system, both for swimming particles [33][34][35][36] and for crawling ones, [37][38][39][40][41] by taking into account the details of internal mechanisms. However, since the example of active particles includes both biological and synthetic systems, a basic theoretical description of active particles is also needed.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Deformable Active Particles under External Flow Field

Tarama

2017

J. Phys. Soc. Jpn.

View full text Add to dashboard Cite

In most practical situations, active particles are affected by their environment, for example, by a chemical concentration gradient, light intensity, gravity, or confinement. In particular, the effect of an external flow field is important for particles swimming in a solvent fluid. For deformable active particles such as self-propelled liquid droplets and active vesicles, as well as microorganisms such as euglenas and neutrophils, a general description has been developed by focusing on shape deformation. In this review, we present our recent studies concerning the dynamics of a single active deformable particle under an external flow field. First, a set of model equations of active deformable particles including the effect of a general external flow is introduced. Then, the dynamics under two specific flow profiles is discussed: a linear shear flow, as the simplest example, and a swirl flow. In the latter case, the scattering dynamics of the active deformable particles by the swirl flow is also considered.Comment: 10 pages, 6 figures, to be published in J. Phys. Soc. Jp

show abstract

“…In order to elucidate the dynamics of active particles, theoretical studies of nonlinear dynamics and nonequilibrium statistical physics need to be developed. On the one hand, a number of elaborate models have been introduced for each specific system by taking into account the details of the internal mechanisms [34][35][36][37][38][39][40][41][42]. On the other hand, since the example of active particles includes both biological and synthetic systems, a basic general description of active particles is also required.…”

Section: Introductionmentioning

confidence: 99%

Swinging motion of active deformable particles in Poiseuille flow

Tarama

2017

Phys. Rev. E

View full text Add to dashboard Cite

Dynamics of active deformable particles in an external Poiseuille flow is investigated. In order to make the analysis general, we employ time-evolution equations derived from symmetry considerations that take into account an elliptical shape deformation. First, we clarify the relation of our model to that of rigid active particles. Then, we study the dynamical modes that active deformable particles exhibit by changing the strength of the external flow. We emphasize the difference between the active particles that tend to self-propel parallel to the elliptical shape deformation and those self-propelling perpendicularly. In particular, a swinging motion around the centerline far from the channel walls is discussed in detail.

show abstract

From Passive Motion of Capsules to Active Motion of Cells

Cited by 7 publications

References 55 publications

Comparison between spring network models and continuum constitutive laws: Application to the large deformation of a capsule in shear flow

Comparison between spring network models and continuum constitutive laws: Application to the large deformation of a capsule in shear flow

Dynamics of Deformable Active Particles under External Flow Field

Swinging motion of active deformable particles in Poiseuille flow

Contact Info

Product

Resources

About