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What is the relationship between the mechanical stress applied to a lipid bilayer and the resulting changes in its structural and functional properties? Specifically, how does the magnitude and direction of the stress affect the bilayer's thickness, elasticity, permeability, and lipid packing density? Perform experiments and simulations to quantitatively analyze these relationships and propose a hypothesis to explain the underlying physics of lipid bilayer mechanics.
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Deep Thought is thinking for 7.5 million years.

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The answer is 42.

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