Dynamics of three-dimensional vesicles in dc electric fields

Kolahdouz, Ebrahim M.; Salac, David

doi:10.1103/physreve.92.012302

Cited by 18 publications

(14 citation statements)

References 29 publications

(65 reference statements)

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“…where α and β are nonzero (if σ r = 1) constant coefficients depending on the usage of Eq. (22) or (23), and the vector G collects the known terms. In practice, we do not form the matrices C 1 , C 2 and B − explicitly as we can see from the iterative procedure of our matrix solver below.…”

Section: Implementation Detailsmentioning

confidence: 99%

“…They further extended their work to study the vesicle breathing dynamics under an AC electric field [31]. Using a level-set/immersed interface hybrid approach, Kolahdouz and Salac proposed a numerical scheme for three-dimensional vesicle electrohydrodynamics in Navier-Stokes flow [22] and used it to study the effects of different fluid and membrane properties on the POP transition [23]. The immersed interface method is used to solve the electric potential [21] and the level set method is used to solve for the fluid flow [22].…”

Section: Introductionmentioning

confidence: 99%

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Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method

Lai

Seol

et al. 2016

Journal of Computational Physics

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In this paper, we develop a coupled immersed boundary (IB) and immersed interface method (IIM) to simulate the electrodeformation and electrohydrodynamics of a vesicle in Navier-Stokes leaky dielectric fluids under a DC electric field. The vesicle membrane is modeled as an inextensible elastic interface with an electric capacitance and an electric conductance. Within the leaky dielectric framework and the piecewise constant electric properties in each fluid, the electric stress can be treated as an interfacial force so that both the membrane electric and mechanical forces can be formulated in a unified immersed boundary method. The electric potential and transmembrane potential are solved simultaneously via an efficient immersed interface method. The fluid variables in Navier-Stokes equations are solved using a projection method on a staggered MAC grid while the electric potential is solved at the cell center. A series of numerical tests have been carefully conducted to illustrate the accuracy and applicability of the present method to simulate vesicle electrohydrodynamics. In particular, we investigate the prolate-oblate-prolate (POP) transition and the effect of electric field and shear flow on vesicle electrohydrodynamics. Our numerical results are in good agreement with those obtained in previous work using different numerical algorithms.

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Section: Implementation Detailsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method

Lai

Seol

et al. 2016

Journal of Computational Physics

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“…Numerical methods for solving the coupled electric, elastic and hydrodynamic governing equations for the vesicle EHD have been developed only recently [19][20][21][27][28][29]. While the works of [20] and [21] use the immersed interface method (IIM) to solve the electric potential problem and level sets to track the moving interface, the recent work of [19] employs a hybrid approach and uses immersed boundary method for fluid flow and IIM to evolve the electric variables. On the other hand, the works of [27] and [29] are based on boundary integral equation (BIE) methods, which are particularly well-suited for the vesicle EHD problem since the governing equations for the fluid motion as well as the electric potential are linear.…”

Section: Introductionmentioning

confidence: 99%

Integral equation methods for vesicle electrohydrodynamics in three dimensions

Veerapaneni

2016

Journal of Computational Physics

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In this paper, we develop a new boundary integral equation formulation that describes the coupled electro-and hydro-dynamics of a vesicle suspended in a viscous fluid and subjected to external flow and electric fields. The dynamics of the vesicle are characterized by a competition between the elastic, electric and viscous forces on its membrane. The classical Taylor-Melcher leaky-dielectric model is employed for the electric response of the vesicle and the Helfrich energy model combined with local inextensibility is employed for its elastic response. The coupled governing equations for the vesicle position and its transmembrane electric potential are solved using a numerical method that is spectrally accurate in space and first-order in time. The method uses a semi-implicit time-stepping scheme to overcome the numerical stiffness associated with the governing equations.

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“…Liposomes are geometrically comparable to natural membranes allowing for studies of membrane mechanics [ 65 , 66 , 67 ], undulations [ 52 ], and surface interactions [ 68 ]. Furthermore, single-channel recordings of transmembrane activity in liposomes is possible by means of the patch-clamp technique [ 68 ].…”

Section: Model Membranes: Manufactures and Resulting Propertiesmentioning

confidence: 99%

Characterizing the Structure and Interactions of Model Lipid Membranes Using Electrophysiology

El-Beyrouthy

Freeman

2021

Membranes

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The cell membrane is a protective barrier whose configuration determines the exchange both between intracellular and extracellular regions and within the cell itself. Consequently, characterizing membrane properties and interactions is essential for advancements in topics such as limiting nanoparticle cytotoxicity. Characterization is often accomplished by recreating model membranes that approximate the structure of cellular membranes in a controlled environment, formed using self-assembly principles. The selected method for membrane creation influences the properties of the membrane assembly, including their response to electric fields used for characterizing transmembrane exchanges. When these self-assembled model membranes are combined with electrophysiology, it is possible to exploit their non-physiological mechanics to enable additional measurements of membrane interactions and phenomena. This review describes several common model membranes including liposomes, pore-spanning membranes, solid supported membranes, and emulsion-based membranes, emphasizing their varying structure due to the selected mode of production. Next, electrophysiology techniques that exploit these structures are discussed, including conductance measurements, electrowetting and electrocompression analysis, and electroimpedance spectroscopy. The focus of this review is linking each membrane assembly technique to the properties of the resulting membrane, discussing how these properties enable alternative electrophysiological approaches to measuring membrane characteristics and interactions.

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Dynamics of three-dimensional vesicles in dc electric fields

Cited by 18 publications

References 29 publications

Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method

Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method

Integral equation methods for vesicle electrohydrodynamics in three dimensions

Characterizing the Structure and Interactions of Model Lipid Membranes Using Electrophysiology

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