Capturing secondary nucleation effects in Becker-Doering interactions: the homogenization route

  • Date December 10, 2014
  • Hour 3 pm
  • Room  GSSI Main Lecture Hall
  • Speaker Adrian Muntean (Eindhoven University of Technology)
  • Area Maths

We present a continuum PDE-ODE model for collagen self-assembly describing the interplay between the change in the polymer distribution and the evolution of monomers. We endow the model with periodic coefficients, where the small parameter is interpreted in this context as the ratio of lengths of monomers and fibrils. After applying a fixed-point homogenization argument and proving corrector estimates, we use the microscopic information incorporated in the first order correctors to explain the so-called ”turbidity measurement”.

Finally, we compare qualitatively our multiscale modelling, mathematical analysis, and simulation results with experimental data.

This work is a joint collaboration with B. van Lith and C. Storm (Eindhoven).

References and Literature for Further Reading:
[1] B.S. van Lith, A. Muntean, A. Muntean: A continuum model for hierarchical fibril assembly. Europhysics Letters (EPL), 106 (2014), 08004.

[2] O. Krehel, T. Aiki, A. Muntean: A thermo-diffusion system with Smoluchowski interactions : well-posedness and homogenization. Networks and Heterogeneous Media, 9(2014), 4.