Generalized Langevin Dynamics-based schemes

We work on the development of a Generalized Langevin Dynamics-based scheme to simulate membrane environments. Within this scheme, the lipid bilayer is represented in an effective way through a generalized (time-dependent) friction and a colored noise, related through the fluctuation dissipation theorem.

By representing the membrane as a viscoelastic material, we develop simple and flexible models able to describe all the dynamical regimes featured by a particle laterally diffusing in a lipid membrane - namely ballistic, subdiffusive, and Brownian - as well as the crossover from one regime to another. The aim is to create a computational platform for the simulation of diffusion limited protein-protein association/dissociation events occurring at the membrane.

Generalized Langevin Dynamics

The memory kernel (generalized friction) is represented in terms of a viscous (instantaneous) and an elastic (noninstantaneous) component modeled through a Dirac δ function and a three-parameter Mittag-Leffler type function, respectively [1]. The proposed model can be seen as a generalization of the diffusion in a transient confining harmonic potential, with a large distribution of escape times. The model parameters can be tuned by higher resolution molecular dynamics simulations in order to mimic different lipid compositions.

People involved

  • Institute of Neurosciences and Medicine (INM)
  • Computational Biomedicine (INM-9)
Building 16.15 /
Room 3003
+49 2461/61-8938
E-Mail

References

  1. L. Di Cairano, B. Stamm, V. Calandrini, Subdiffusive-Brownian crossover in membrane proteins: a generalized Langevin equation-based approach, Biophysical Journal 2021, 120(21), 4722-4737.
Last Modified: 12.06.2024