Abstract
Through the combination of the minimum energy principle in physics and the Steiner minimal tree (SMT) theory in geometry, this paper proves a universal law for lipid nanotube networks (LNNs): at stable equilibrium state, the network of three-way lipid nanotube junctions is equivalent to a SMT. Besides, an arbitrary (usually non-equilibrium) network of lipid nanotube junctions may fission into a SMT through diffusions and dynamic self-organizations of lipid molecules. Potential applications of the law to the micromanipulations of LNNs are presented.
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