Abstract
Due to a large amount of conformational substates, relaxation processes in proteins are governed by many time constants and therefore, they decay more slowly than a Debye relaxation. For processes occurring on different time scales in a self-similar manner, we derive and solve a fractional order differential equation for the relaxation function. Solutions of this well-posed initial value problem are given in terms of a Mittag-Leffler function. Applications to ligand rebinding data of myoglobin are presented leading to a 3-parameter fractional model.
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© 1994 Springer Basel AG
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Glöckle, W.G., Nonnenmacher, T.F. (1994). Fractional Relaxation Equations for Protein Dynamics. In: Nonnenmacher, T.F., Losa, G.A., Weibel, E.R. (eds) Fractals in Biology and Medicine. Mathematics and Biosciences in Interaction. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8501-0_14
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DOI: https://doi.org/10.1007/978-3-0348-8501-0_14
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9652-8
Online ISBN: 978-3-0348-8501-0
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