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Interactions in Mixed Lipid Bilayers

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The Impact of Applications on Mathematics

Part of the book series: Mathematics for Industry ((MFI,volume 1))

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Abstract

Fundamental interactions in mixed lipid bilayers are reviewed and discussed to clarify their influences on lipid microdomain formation. First, we describe a phase-separating elastic system of mixed lipid bilayers containing elastic and trans-bilayer interactions. The model can reflect characteristic properties of the bilayer, such as macroscopic elastic moduli and microscopic properties of the constituent molecules, so that we are able to analyze how the composition of the bilayer affects on the lateral morphology. Furthermore, it enables us to examine the interacting effects one by one. It is shown that the elastic interaction can stabilize intramembrane subdomain structures by secondary bifurcations of the steady states, even in simple situations with homogeneous and isotropic rigidity. On the other hand, the trans-bilayer coupling interaction may regulate the symmetry of the two leaflets of the bilayer. Indeed, simulations show us different mechanisms of synchronized lipid sorting and deformation of the bilayer. The fundamental interactions, together with further protein–protein and protein–lipid interactions, may be utilized depending on the situation to organize appropriate morphological structures.

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Authors and Affiliations

  1. Frontier Research Institute for Interdisciplinary Sciences (FRIS), Tohoku University, 6-3 Aramaki-aza-Aoba, Aoba-ku, Sendai, Miyagi, 980-8578, Japan

    Sohei Tasaki

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  1. Sohei Tasaki
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Correspondence to Sohei Tasaki .

Editor information

Editors and Affiliations

  1. Institute for Mathematics and Industry, Kyushu University, Fukuoka, Japan

    Masato Wakayama

  2. CSIRO (Commonwealth Scientific and Industrial Research Organisation), Canberra, Aust Capital Terr, Australia

    Robert S. Anderssen

  3. School of Mathematical Sciences, Fudan University, Shanghai, China

    Jin Cheng

  4. Kyushu University, Fukuoka, Japan

    Yasuhide Fukumoto

  5. Institute of Natural and Mathematical Sciences, Massey University, Palmerston North, Auckland, New Zealand

    Robert McKibbin

  6. Institute of Mathematics, Free University of Berlin, Berlin, Germany

    Konrad Polthier

  7. Kyushu University, Fukuoka, Japan

    Tsuyoshi Takagi

  8. Department of Mathematics, National University of Singapore, Singapore, Singapur, Singapore

    Kim-Chuan Toh

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Tasaki, S. (2014). Interactions in Mixed Lipid Bilayers. In: Wakayama, M., et al. The Impact of Applications on Mathematics. Mathematics for Industry, vol 1. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54907-9_20

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  • DOI: https://doi.org/10.1007/978-4-431-54907-9_20

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  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-54906-2

  • Online ISBN: 978-4-431-54907-9

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