##### Department of Mathematics,

University of California San Diego

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### Informal Seminar on Mathematics and Biochemistry-Biophysics

## Hui Sun

#### UCSD

## Linear Stability of a Cylindrical Solute-Solvent Interface

##### Abstract:

The interface between protein solute and aqueous solvent exhibits complex geometries, and can undergo conformational changes by combined influences from electrostatic force, surface tension, and hydrodynamic force. Such a combined force on the interface can be calculated via an energy variation approach together with an addition of hydrodynamic interaction. In this talk we present the linear stability analysis for a cylindrical solute-solvent interface, where the linearization system can be solved analytically. The asymptotic dispersion relation satisfies a power law. Examples have been given that has long wave (in)stability and short wave stability. Bifurcation diagram with multiple steady states are captured in these examples. The role of each part (electrostatics, surface tension, hydrodynamics) in the dispersion relation has also been clarified.

Hosts: Li-Tien Cheng and Bo Li

### April 17, 2014

### 2:00 PM

### AP&M 7218

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