关于玉米生长、糖分输运和干物质分配的数学模型

把一个植株看成是由几个隔室组成的动态系统,并对各隔室的光合产率和化学反应速率作出合理的假设,就可根据物质守恒原理对此系统建立一个以隔室体积 V_i 和糖浓度 C_i为因变量的动力学方程式组。用欧拉法对此方程式组进行数值积分,就可以一举而模拟出植株生长、蔗糖输运、蔗糖浓度分布和干物质分配等随时间而变化的历程。试算结果说明,只要适当地调整方程式中的参数值,就可以在计算机上生长出合理的株型和果穗,其它各方面的情况也与实际情况定性地符合。

A MATHEMATICAL MODEL FOR CORN GROWTH

Dynamic systems theory is applied to simulate the growth of corn. The plant is looked as a seris of communicating compartments each consists of a stem segmant with or without a leaf.The ears are bran- ched compartments of the system.Growth rate of each compartment is treated as a result of the chemical reactions inside,which is des- cribed globally by one reaction consuming sugar and obeying a Michae- lis-Menten type kinetics.The kinetic parameters of the global reaction in each compartment falls with its a...