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首页> 外文会议>International Conference on Mathematical Biology >Use Of Absolute Function And Its Associates In Formation And `Redevelopment' Of Mathematical Models In Some Plant-Related Quantitative Physiology: Salinity Effects On Leaf Development Of Schefflera arboricola And Harvest Index In Rice
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Use Of Absolute Function And Its Associates In Formation And `Redevelopment' Of Mathematical Models In Some Plant-Related Quantitative Physiology: Salinity Effects On Leaf Development Of Schefflera arboricola And Harvest Index In Rice

机译：在一些植物相关的定量生理学中使用绝对函数及其与“重新开发”的形成与“重新开发”：盐度对稻草植物山脉叶片叶片发展的盐度影响

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The roles of quantitative physiology are becoming more apparent and crucial in the era of ICT recently. As based on the rate-related variables, most of the mathematical models are in the form of `non-linear' function in describing the responses or the observed within-plant processes outcomes versus time. Even though if some responses change in a drastic manner at certain response point within a biological unit or space of a plant system, the response curve `should' be dependent on a continuous independent variable range in a specified period of determination where biologically `should not' functioned by independent variable range having `IF' statement(s). Subjected to nutrient concentration of high salinity (6.0 mS cm-1), the leaf turgidity (measured as leaf surface area) of S. arboricola which initially was described by one form of the logistic growth functions [(y = 1/(a+be-cx)] abruptly reduced as explained by a model having terms of Absolute function (ABS) containing tan-1(x) and its parameter of leaf life expectancy as affected by high salinity growing medium at a certain point of days after planting. This yielded an overall function of y = 1/(a+be-cx)-A[tan-1{(x-B)/D}+ABS(tan-1{(x-B)/D})]E, where a, b, c, A, B, D, and E are constants that most of them can be `biologically' interpreted. The constant B is the point similar to `IF statement' as normally used in other mathematical functions. Plants subjected to lower salinity status (<3.0 mS cm-1) were only having function of y = 1/(a+be-cx). In the harvest index or HI (economic yield/above ground biomass) study of 20 rice varieties grown over two planting seasons, the long flattened tails at both sides of a peak in the middle of function of y = R+B(T+ABS(B-x))e-k(T+ABS(B-x)) had indicated that those varieties maturing at 123 to 133 days after transplanting were having high HI values. In our observation, Absolute (ABS) function coupled with some terms could be used in the formation of some mathematical functions having biological meaningful constants in explaining some quantitative physiological and biological responses vs. independent variables studied.
机译：定量生理的角色在最近的ICT时代变得更加明显，至关重要。根据与速率相关的变量，大多数数学模型都是在描述响应或观察到的工厂内部过程与时间的情况下的“非线性”功能的形式。即使如果某些响应在植物系统的生物学单元或空间内的某些响应点处的某些响应点发生变化，则响应曲线“应该”在特定的确定期间依赖于连续的独立变量范围，其中生物学`不应该“由独立变量范围运行，具有”IF“语句。受高盐度（6.0ms cm-1）的营养浓度，最初由一种形式的物流生长功能描述的S.Alboricola的叶片趋发（测量为叶片表面积）[（Y = 1 /（a + BE-CX）]如含有TAN-1（x）的绝对函数（ABS）的模型解释的模型解释的突然减少，其叶寿命的参数在种植后的某个时期的一定天的时间内受到高盐度生长培养基的影响。这产生了y = 1 /（a + be-cx）-a [tan-1 {（xb）/ d} + abs（tan-1 {（xb）/ d}）] e，其中a， B，C，A，B，D和E是常数，即大多数人可以是“生物学上”解释。常数B是与其他数学函数通常用于的“IF语句”类似的点。植物受到较低盐度的植物状态（<3.0ms cm-1）仅具有Y = 1 /（A + BE-CX）的功能。在收获指数或HI（经济产量/以上生物量）研究两个种植季节的20种稻米品种，长长的扁平y = r + b（t + abs（bx））ek（t + abs（bx））中间峰的两侧的尾部表明，在移植后123至133天在123至133天内熟化的那些品种高级值。在我们的观察中，与一些术语相结合的绝对（ABS）功能可用于形成具有生物有意义的常数的一些数学函数，以解释研究的一些定量生理和生物反应与所研究的独立变量。

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