Simplified Method in Polynucleotide Helix-Coil Transition Theory Including Binding of Complementary Monomer

AUTOR(ES)

Hill, Terrell L.

RESUMO

The grand partition function for a long linear system of alternating α and β sequences with the restraint of a fixed number, Nαβ, of αβ boundaries depends in an extremely simple way on the α-sequence and β-sequence grand partition functions, ξα and ξβ. When the restraint is removed, we have μαβ = 0, where μαβ is the chemical potential conjugate to Nαβ. The grand partition function and the condition μαβ = 0 lead to the fundamental relation 1 = ξαξβz2, where z = e-ωαβ/κT and ωαβ = boundary free energy. This is a generalization of an earlier equation of Hill, and is equivalent to a result due to Lifson. Binding of a substrate does not affect the argument: the new component is simply included in ξα and ξβ. A model for the binding of adenosine on poly(U) is used as an example.

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