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Interaction between surface shape and intra-surface viscous flow on lipid membranes

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Abstract

The theory of intra-surface viscous flow on lipid bilayers is developed by combining the equations for flow on a curved surface with those that describe the elastic resistance of the bilayer to flexure. The model is derived directly from balance laws and augments an alternative formulation based on a variational principle. Conditions holding along an edge of the membrane are emphasized, and the coupling between flow and membrane shape is simulated numerically.

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Authors and Affiliations

  1. Department of Molecular and Cellular Biology, University of California, Berkeley, CA, 94720, USA

    Padmini Rangamani & George Oster

  2. Department of Mechanical Engineering, University of Houston, Houston, TX, 77204, USA

    Ashutosh Agrawal

  3. Sandia National Laboratories, Livermore, CA, 94551, USA

    Kranthi K. Mandadapu

  4. Department of Mechanical Engineering, University of California, Berkeley, CA, 94720, USA

    David J. Steigmann

Authors
  1. Padmini Rangamani
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  2. Ashutosh Agrawal
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  3. Kranthi K. Mandadapu
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  4. George Oster
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  5. David J. Steigmann
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Corresponding author

Correspondence to David J. Steigmann.

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Rangamani, P., Agrawal, A., Mandadapu, K.K. et al. Interaction between surface shape and intra-surface viscous flow on lipid membranes. Biomech Model Mechanobiol 12, 833–845 (2013). https://doi.org/10.1007/s10237-012-0447-y

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  • DOI: https://doi.org/10.1007/s10237-012-0447-y

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