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A numerical method for simulation dynamics of incompressible lipid membranes in viscous fluid

Alexey Heintz (Institutionen för matematiska vetenskaper)
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (0377-0427). Vol. 289 (2015), p. 87-100.
[Artikel, refereegranskad vetenskaplig]

A numerical scheme is presented for modeling dynamics of incompressible elastic lipid membranes imbedded into viscous fluid. A new elliptic equation for tension in the membrane implying its local incompressibility is derived. The membranes dynamics is approximated in a semi implicit way. The Lattice Boltzmann method is used to approximate the fluid flow. Forces acting on the fluid from the lipid membrane are implemented using the immersed boundary method by Peskin. The method is illustrated by examples of axisymmetric membranes with deformations and flows typical for experiments with lipid vesicles and nanotubes where deformations and flows can be modulated by external forces applied to the membrane.



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Denna post skapades 2015-04-10. Senast ändrad 2015-08-06.
CPL Pubid: 215067

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)

Ämnesområden

Materialvetenskap
Nanovetenskap och nanoteknik
Matematisk analys

Chalmers infrastruktur