ChannelsLecture

Sukharev et al lipid bilayers in vitro lipid bilayers

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(Sukharev et al .)
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Lipid Bilayers (In Vitro) Lipid Bilayers (In Vitro) Hydrophobic tails and polar head groups. Favorable for lipids to spontaneously assemble to form bilayers. Molecular Continuum (Avanti Polar Lipids)
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Membranes In Vivo Real biological membranes contain many different lipids & transmembrane proteins !
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Experimental Challenges for Experimental Challenges for Model: Lipid Tail Length Model: Lipid Tail Length Gating tension depends upon the length of the lipid tails. (Avanti Polar Lipids) Free energy cost associated with mismatch between thickness of protein and lipids. (Perozo et al .)
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The Membrane Free Energy The Membrane Free Energy The idea: solve boundary problem for protein embedded in membrane (Huang, Andersen and others). We use elasticity theory and can thereby compute the energy as a function of protein shape. Bending:
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The Membrane Free Energy: Part The Membrane Free Energy: Part 2 2 Tension (in plane Stretch): Stretch (out of plane):
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A Simple Elastic Model: Membrane- A Simple Elastic Model: Membrane- Induced Line Tension Induced Line Tension Presence of ion channel deforms the surrounding membrane – free energy cost. Opening of channel leads to reduction in potential energy of loading device – that is an energy benefit. Channel gating and the loading device. Channel gating and the membrane free energy.
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The Overall Free Energy The Overall Free Energy Round up the usual suspects – minimization by Euler-Lagrange, find the profile, compute the energy.
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Protein Boundary Value Problem Protein Boundary Value Problem Minimize free energy – Euler-Lagrange equations for midplane position (h) and thickness (2u). Solve equations, match BC’s, & compute deformation energy
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Dissecting the Free Energy Dissecting the Free Energy Applied Tension Hydrophobic mismatch Spontaneous Curvature Midplane Bending Conclusion: Competition between terms with different radial character!
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