### Abstract

This study was conducted to compare growth mechanics between logistic functions and basic growth functions. The results obtained were as follows. Differential equation for basic growth function showed that the square of growth rate was described using the product of weight and growth acceleration. This form was similar to Newton's law of motion where differential of momentum is described using the product of mass of an object and acceleration. However, differential equation for logistic function took a form that was more complex, due to the existence of additional function, than that for basic growth function. Therefore, only the product of weight and growth acceleration was not sufficient to describe the square of growth rate in the differential equation for logistic function. This insufficiency was compensated by the additional function. This is one of the reasons why logistic functions are more complex than basic growth functions showing increases only. It was suggested from the present study that growth mechanics of logistic functions was more complex than that of basic growth functions.

Original language | English |
---|---|

Pages (from-to) | 361-363 |

Number of pages | 3 |

Journal | Journal of the Faculty of Agriculture, Kyushu University |

Volume | 54 |

Issue number | 2 |

Publication status | Published - Oct 1 2009 |

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### All Science Journal Classification (ASJC) codes

- Biotechnology
- Agronomy and Crop Science

### Cite this

*Journal of the Faculty of Agriculture, Kyushu University*,

*54*(2), 361-363.

**Introducing viewpoints of mechanics into basic growth analysis - (XIII) comparing growth mechanics between logistic functions and basic growth functions.** / Shimojo, Masataka; Shao, Tko; Ishimatsu, Satoshi; Tanoue, Jun; Kakihara, Hidetoshi; Sata, Chiemi; Fukudome, Hayato; Ishiwaka, Reiko; Asano, Yoki; Nakano, Yutaka; Tobisa, Manabu; Masuda, Yasuhisa.

Research output: Contribution to journal › Article

*Journal of the Faculty of Agriculture, Kyushu University*, vol. 54, no. 2, pp. 361-363.

}

TY - JOUR

T1 - Introducing viewpoints of mechanics into basic growth analysis - (XIII) comparing growth mechanics between logistic functions and basic growth functions

AU - Shimojo, Masataka

AU - Shao, Tko

AU - Ishimatsu, Satoshi

AU - Tanoue, Jun

AU - Kakihara, Hidetoshi

AU - Sata, Chiemi

AU - Fukudome, Hayato

AU - Ishiwaka, Reiko

AU - Asano, Yoki

AU - Nakano, Yutaka

AU - Tobisa, Manabu

AU - Masuda, Yasuhisa

PY - 2009/10/1

Y1 - 2009/10/1

N2 - This study was conducted to compare growth mechanics between logistic functions and basic growth functions. The results obtained were as follows. Differential equation for basic growth function showed that the square of growth rate was described using the product of weight and growth acceleration. This form was similar to Newton's law of motion where differential of momentum is described using the product of mass of an object and acceleration. However, differential equation for logistic function took a form that was more complex, due to the existence of additional function, than that for basic growth function. Therefore, only the product of weight and growth acceleration was not sufficient to describe the square of growth rate in the differential equation for logistic function. This insufficiency was compensated by the additional function. This is one of the reasons why logistic functions are more complex than basic growth functions showing increases only. It was suggested from the present study that growth mechanics of logistic functions was more complex than that of basic growth functions.

AB - This study was conducted to compare growth mechanics between logistic functions and basic growth functions. The results obtained were as follows. Differential equation for basic growth function showed that the square of growth rate was described using the product of weight and growth acceleration. This form was similar to Newton's law of motion where differential of momentum is described using the product of mass of an object and acceleration. However, differential equation for logistic function took a form that was more complex, due to the existence of additional function, than that for basic growth function. Therefore, only the product of weight and growth acceleration was not sufficient to describe the square of growth rate in the differential equation for logistic function. This insufficiency was compensated by the additional function. This is one of the reasons why logistic functions are more complex than basic growth functions showing increases only. It was suggested from the present study that growth mechanics of logistic functions was more complex than that of basic growth functions.

UR - http://www.scopus.com/inward/record.url?scp=70450183356&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70450183356&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:70450183356

VL - 54

SP - 361

EP - 363

JO - Journal of the Faculty of Agriculture, Kyushu University

JF - Journal of the Faculty of Agriculture, Kyushu University

SN - 0023-6152

IS - 2

ER -