水稻伸长生长的数学模型

水稻地上部诸器官的伸长生长，可以分为3个阶段和两个过渡期．器官在前期的凹型曲线生长为加速生长（定为第1阶段），中期的直线生长为等速生长（第2阶段），后期的凸型曲线生长为减速生长（第3阶段）；每两个阶段临界处均存在特殊的生长过程，前面的定为第1过渡期，做变加速生长，后面的定为第2过渡期，做变减速生长.组成器官的各个细胞的伸长生长，也可以分为前期凹型曲线阶段、中期的直线阶段以及这两个阶段临界处的过渡期.运用类比原理推断；细胞在凹型曲线阶段，其原生质的膨压大于壁压，而且这两个压差始终维持稳定，这就使细胞做等加速生长；细胞经过过渡期的变加速生长过渡到直线生长阶段，在这个阶段中，膨压大小与壁压相等，这就使细胞以过渡期最末的生长速度做等速生长；最后壁压大于膨压，而且这两个相差压会阻止细胞的“惯性”生长直至停止生长，其结果产生减速生长．

MATHEMATICAL PATTERN FOR THE ELONGATION GROWTH OF RICE

The elongation growth of rice aerial organs can be sepereted into three stages and two transition periods.In these stages and periods,the concave curvilinear growth at the earlier period as the accelerogrowth stage named the first stage,the linear growth at the intermediate period as the isospeed-growth stage named the second stage,and the convex curvilinear growth at the later period as the decelerogrowth stage named the third stage.At the critical places between every two stages,there were special growing processes respectively,of the two special growth processes,the first was called the first transition period,in which the rice organs made changeable accelerogrowth,and the later was called the second transition period,in which the rice organs made changeable decelerogrowth.The elongation growth of organic cells can also be seperated into three stages and two periods of the earlier concave curvilinear growth,the intermediate linear growth and the later convex curvilinear growth,as well as two transition periods at the critical places between every two stages above.It is analogically deducible that,(1)the protoplasmatic swelling pressure of cell wall during the first stage was greater than the pressure of cell wall and the pressure difference of them constantly maintained stable,and that made cells isoaccelero-grow.(2)Cells of rice organs transitted to the second stage through changeable accelero-growing in the first transition period.During the tage,the protoplasmatic swelling pressure was equal to the pressure of cell wall made cells isospeedgrowth at the growing velocity of cells in the last stage of the first transition period.(3)And at the last,the pressure of cell wall became greater than the protoplasmatic swelling pressure,the pressure difference of them could prevent cells from" inertia" growing till cells stopped growing.It resulted in decelerogrowth of rice which experienced short-time period.