Constructing 4-dimensional growth dynamics and analyzing the process of space structure formation of an individual forage plant

牧草个体4维生长动力学构建及空间结构形成过程分析

• 批准号: 21658089
• 负责人: SHIMOJO Masataka
• 金额: $ 1.86万
• 依托单位: Kyushu University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Challenging Exploratory Research
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21658089/
• 关键词: 草地利用; 畜産学; 成長関数; 4次元; ボンディK因子; 成長力学; 運動力学; 類似性; 関数階層構造; 指数関数; 牧草; ボンディのK因子; アナロジー; 初等成長力学; 時間・空間; 対称性; ニュートン力学; 2乗; 正・負

Basic growth function was combined with its first and second derivatives to form a new equation, which was then investigated to derive its 4-dimensional properties based on analogies with Newton' s law of motion and special relativity. In its application to the growth analysis of an individual forage plant, the squared value of net growth acceleration for plant weight(NGA : growth acceleration for plant weight per unit of leaf area) was calculated for the growth along time axis(t), that along height axis(x), that along width axis(y), and that along depth axis(z). The ratio of NGA squared in 3-dimensional space(the sum of x, y and z) to that in time(t) was considered useful to analyze the process of space structure formation with the growth of an individual forage plant.

将基本增长函数与其一阶和二阶导数结合起来形成一个新方程，然后基于与牛顿运动定律和狭义相对论的类比来研究该方程并推导其四维性质。在应用于单个饲料植物的生长分析时，计算沿时间轴（t）的生长的植物重量净生长加速度的平方值（NGA：每单位叶面积植物重量的生长加速度），即沿高度轴 (x)、沿宽度轴 (y) 和沿深度轴 (z)。 3维空间（x、y、z之和）中NGA平方与时间（t）中NGA平方的比值被认为有助于分析单个饲料植物生长过程中空间结构的形成过程。

项目成果

An application of the golden ratio and Fibonacci numbers to analyses of canopy structure of forage plants

黄金比例和斐波那契数在饲料植物冠层结构分析中的应用

• 发表时间: 2011
• 作者: Masataka Shimojo

数種の成長関数における関連性について

关于几种增长函数之间的关系

• 发表时间: 2011
• 作者: 下條雅敬・中野豊

An application of the golden ratio and Fibonacci numbers to analyses of canopy structure of forage plants, Journal of the Faculty of Agriculture

黄金比例和斐波那契数在饲料植物冠层结构分析中的应用，农学院学报

• 发表时间: 2011
• 作者: Masataka Shimojo; Manabu Tobisa;Yutaka Nakano
• 通讯作者: Yutaka Nakano

Exponential Function, Bondi K-Factor and Imaginary Unit

指数函数、Bondi K 因子和虚数单位

• 发表时间: 2011
• 作者: Masataka Shimojo

Introducing viewpoints of mechanics into basic growth analysis-(XI)Negative weight problem in basic growth functions and its hypothetic avoidance by sign reversal of relative growth rate, space inversion and time reversal-

将力学观点引入基本增长分析——（十一）基本增长函数中的负权问题及其通过相对增长率符号反转、空间反转和时间反转的假设回避——

• 发表时间: 2009
• 作者: Masataka Shimojo