Theory of Phase Transitions in Polypeptides and Proteins by Alexander V. Yakubovich

Author:Alexander V. Yakubovich
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

where is the stiffness parameter of the potential. Since substituting (4.14) into (4.12) and integrating over one obtains:

(4.15)

where is the the modified Bessel function of the first kind, and

Substituting – into (4.8) one obtains the expression for the partition function of a polypeptide in a particular conformational state j:

(4.16)

denotes the factor in the square brackets. Note, that generalized masses are reduced during the integration and do not enter into the expression of the partition function.

Since a polypeptide exist in different conformational states, one needs to sum over the contributions of all possible conformations in order to calculate the complete partition function of the polypeptide. For an ensemble of noninteracting polypeptides the partition function reads as

(4.17)

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