### Abstract

Living beings meta-stable between unstable and neutral-stable conditions use only five types of nitrogenous bases and twenty amino acids selected naturally. The unified momentum theory derived at the triple point of the deterministic Boltzmann equation, the stochastic Langevin equation, and the indeterminacy principle [K. naitoh, Artificial Life Robotics, 2010] reveals the reason why the molecular weights of the twenty types of amino acids show a threefold variation between 240 of cysteine as the maximum and 75 of glycine as the minimum, whereas that of purines and pyrimidines among nitrogenous bases varies by only about 1.5 times, although the variation principle for the energy conservation law cannot do so. Let us take a higher order of the Taylor series for the unified momentum equation describing the deformation motions of biological molecules. Even-numbered terms such as the second and fourth ones show no other quasi-stable size ratios. However, odd-numbered terms result in other quasi-stable ratios. The threefold variation of amino acids will come from the third term of the Taylor series.

Original language | English |
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Title of host publication | Proceedings of the 16th International Symposium on Artificial Life and Robotics, AROB 16th'11 |

Pages | 411-414 |

Number of pages | 4 |

Publication status | Published - 2011 |

Event | 16th International Symposium on Artificial Life and Robotics, AROB '11 - Beppu, Oita Duration: 2011 Jan 27 → 2011 Jan 29 |

### Other

Other | 16th International Symposium on Artificial Life and Robotics, AROB '11 |
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City | Beppu, Oita |

Period | 11/1/27 → 11/1/29 |

### Fingerprint

### Keywords

- Asymmetry
- Cyto-fluid dynamics

### ASJC Scopus subject areas

- Artificial Intelligence
- Computer Vision and Pattern Recognition
- Human-Computer Interaction

### Cite this

*Proceedings of the 16th International Symposium on Artificial Life and Robotics, AROB 16th'11*(pp. 411-414)

**The inevitability of the bio-molecules : Five nitrogenous bases and twenty amino acids.** / Hashimoto, K.; Inoue, H.; Naitoh, Ken.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 16th International Symposium on Artificial Life and Robotics, AROB 16th'11.*pp. 411-414, 16th International Symposium on Artificial Life and Robotics, AROB '11, Beppu, Oita, 11/1/27.

}

TY - GEN

T1 - The inevitability of the bio-molecules

T2 - Five nitrogenous bases and twenty amino acids

AU - Hashimoto, K.

AU - Inoue, H.

AU - Naitoh, Ken

PY - 2011

Y1 - 2011

N2 - Living beings meta-stable between unstable and neutral-stable conditions use only five types of nitrogenous bases and twenty amino acids selected naturally. The unified momentum theory derived at the triple point of the deterministic Boltzmann equation, the stochastic Langevin equation, and the indeterminacy principle [K. naitoh, Artificial Life Robotics, 2010] reveals the reason why the molecular weights of the twenty types of amino acids show a threefold variation between 240 of cysteine as the maximum and 75 of glycine as the minimum, whereas that of purines and pyrimidines among nitrogenous bases varies by only about 1.5 times, although the variation principle for the energy conservation law cannot do so. Let us take a higher order of the Taylor series for the unified momentum equation describing the deformation motions of biological molecules. Even-numbered terms such as the second and fourth ones show no other quasi-stable size ratios. However, odd-numbered terms result in other quasi-stable ratios. The threefold variation of amino acids will come from the third term of the Taylor series.

AB - Living beings meta-stable between unstable and neutral-stable conditions use only five types of nitrogenous bases and twenty amino acids selected naturally. The unified momentum theory derived at the triple point of the deterministic Boltzmann equation, the stochastic Langevin equation, and the indeterminacy principle [K. naitoh, Artificial Life Robotics, 2010] reveals the reason why the molecular weights of the twenty types of amino acids show a threefold variation between 240 of cysteine as the maximum and 75 of glycine as the minimum, whereas that of purines and pyrimidines among nitrogenous bases varies by only about 1.5 times, although the variation principle for the energy conservation law cannot do so. Let us take a higher order of the Taylor series for the unified momentum equation describing the deformation motions of biological molecules. Even-numbered terms such as the second and fourth ones show no other quasi-stable size ratios. However, odd-numbered terms result in other quasi-stable ratios. The threefold variation of amino acids will come from the third term of the Taylor series.

KW - Asymmetry

KW - Cyto-fluid dynamics

UR - http://www.scopus.com/inward/record.url?scp=84866645179&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866645179&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84866645179

SN - 9784990288051

SP - 411

EP - 414

BT - Proceedings of the 16th International Symposium on Artificial Life and Robotics, AROB 16th'11

ER -