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Biophysical Journal 86:764-780 (2004)
© 2004 The Biophysical Society

Dynamics of Pinned Membranes with Application to Protein Diffusion on the Surface of Red Blood Cells

Lawrence C.-L. Lin * and Frank L. H. Brown {dagger}

* Department of Physics and {dagger} Department of Chemistry and Biochemistry, University of California, Santa Barbara, California

Correspondence: Address reprint requests to Asst. Prof. Frank L. H. Brown, Dept. of Chemistry and Biochemistry, University of California, Santa Barbara, CA 93106-9510. Tel.: 805-893-9510; E-mail: flbrown{at}chem.ucsb.edu.

We present a theoretical treatment and simulation algorithm for the dynamics of Helfrich elastic membrane surfaces in the presence of general harmonic perturbations and hydrodynamic coupling to the surrounding solvent. In the limit of localized and strong interactions, this harmonic model can be used to pin the membrane to intracellular/intercellular structures. We consider the case of pinning to the cytoskeleton and use such a model to estimate the macroscopic diffusion constant for band 3 protein on the surface of human erythrocytes. Comparison to experimental results suggests that thermal undulations of the membrane surface should play a significant role in protein mobility on the red blood cell.




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