TY - JOUR
T1 - A Fractal Model of Protein Conformations and Spectral Exponents for the Densities of Low-Frequency Normal Modes of Vibration
AU - Wako, Hiroshi
PY - 1989/1/1
Y1 - 1989/1/1
N2 - Spectral exponents m defined in the power law relationship [formula omitted] between the density of vibrational states p(v) and the frequency v at very low frequencies are calculated by means of the normal mode analysis of molecular mechanics for nine globular proteins. For the sake of comparison, fractal dimensions d are also estimated from the backbone conformations of the same set of proteins. The results show that m and d range from 1.53 to 1.77 and from 1.49 to 1.85, respectively, and well agree with the fractal model of protein conformations proposed by Stapleton et al. (Phys. Rev. Lett. 45 (1980) 1456), in which it is asserted that m is equal to d and d is close to the theoretical value 5/3 associated with a self-avoiding random walk.
AB - Spectral exponents m defined in the power law relationship [formula omitted] between the density of vibrational states p(v) and the frequency v at very low frequencies are calculated by means of the normal mode analysis of molecular mechanics for nine globular proteins. For the sake of comparison, fractal dimensions d are also estimated from the backbone conformations of the same set of proteins. The results show that m and d range from 1.53 to 1.77 and from 1.49 to 1.85, respectively, and well agree with the fractal model of protein conformations proposed by Stapleton et al. (Phys. Rev. Lett. 45 (1980) 1456), in which it is asserted that m is equal to d and d is close to the theoretical value 5/3 associated with a self-avoiding random walk.
KW - Fractal dimension
KW - Molecular mechanics
KW - Normal mode analysis
KW - Protein conformation
KW - Protein dynamics
KW - Spectral exponent
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U2 - 10.1143/JPSJ.58.1926
DO - 10.1143/JPSJ.58.1926
M3 - Article
AN - SCOPUS:62749184875
SN - 0031-9015
VL - 58
SP - 1926
EP - 1929
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 6
ER -