### Abstract

Spectral exponents m defined in the power law relationship p(v)∝ v^{m-1} 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 d̄ are also estimated from the backbone conformations of the same set of proteins. The results show that m and d̄ 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 d̄ and d̄ is close to the theoretical value 5/3 associated with a self-avoiding random walk.

Original language | English |
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Pages (from-to) | 1926-1929 |

Number of pages | 4 |

Journal | Journal of the Physical Society of Japan |

Volume | 58 |

Issue number | 6 |

Publication status | Published - 1989 Jun |

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### Keywords

- Fractal dimension
- Molecular mechanics
- Normal mode analysis
- Protein conformation
- Protein dynamics
- Spectral exponent

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**A fractal model of protein conformations and spectral exponents for the densities of low-frequency normal modes of vibration.** / Wako, Hiroshi.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 58, no. 6, pp. 1926-1929.

}

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 - 1989/6

Y1 - 1989/6

N2 - Spectral exponents m defined in the power law relationship p(v)∝ vm-1 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 d̄ are also estimated from the backbone conformations of the same set of proteins. The results show that m and d̄ 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 d̄ and d̄ 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 p(v)∝ vm-1 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 d̄ are also estimated from the backbone conformations of the same set of proteins. The results show that m and d̄ 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 d̄ and d̄ 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

UR - http://www.scopus.com/inward/record.url?scp=62749184875&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=62749184875&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:62749184875

VL - 58

SP - 1926

EP - 1929

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 6

ER -