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BP: Fachverband Biologische Physik

BP 15: Postersession III

BP 15.78: Poster

Dienstag, 13. März 2018, 14:00–16:00, Poster B

Diffusion of nanoparticles perpendicular to hard walls and cell membranes — •Katharina Gräßel and Stephan Gekle — Biofluid Simulation and Modeling, Bayreuth, Germany

The diffusion of nanoscaled spherical particles perpendicular to cell membranes has been investigated by Ider et al. [1], who presented an analytical theory which includes the deformation of the elastic membrane due to the diffusing particles. However, the distance of the particle to the wall or the membrane was taken to remain constant, as a first approximation.

We investigate a system with non-constant spatially varying diffusion coefficient in front of hard walls. Therefore we use a different approach: following Wang [2] we set up a Fokker-Planck equation and then solve it numerically.

In the next step, we introduce a memory function to the Langevin equation to model diffusion in front of elastic membranes and again solve the corresponding Fokker-Planck equation numerically. This method reproduces the results of Ider et al. [1] for a constant diffusion coefficient and additionally allows the computation of the concentration profiles.

[1] Ider et al., Physical Review E 93, 2016

[2] Wang, Physical Review A 45.2, 1992