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| 烟草生长的二次非线性示踪动力学模型 | |
| 引用本文： | 强继业,化存才,王绍华.烟草生长的二次非线性示踪动力学模型[J].核农学报,2011,25(1):191-195. |
| 作者姓名： | 强继业 化存才 王绍华 |
| 作者单位： | 1. 南京农业大学农学院/南方作物生理生态重点开放实验室,江苏南京,210095;云南农业大学烟草学院,云南昆明,650201 2. 云南师范大学数学学院,云南昆明,650092 3. 南京农业大学农学院/南方作物生理生态重点开放实验室,江苏南京,210095 |
| 基金项目： | 国家科技支撑计划项目，国家自然科学基金 |
| 摘 要： | 为研究示踪剂转移的非均匀动力学过程,在0时刻向烟草一次性引入某种示踪剂后,根据烟草对这种示踪剂吸收快、排除慢的情况，假设烟叶和烟茎对这种示踪剂的吸收是二次函数关系,而对这种示踪剂的排除是线性函数关系,建立了烟叶的单库室Logistic示踪模型和烟叶一烟茎的两库室二次非线性耦合示踪动力学模型.对2种模型的定性结果分析表明... |
| 关 键 词： | 示踪动力学模型 烟草 同位素示踪剂 |
QUADRATIC TRACER DYNAMICAL MODELS FOR TOBACCO GROWTH |
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| QIANG Ji-ye,HUA Cun-cai,WANG Shao-hua.QUADRATIC TRACER DYNAMICAL MODELS FOR TOBACCO GROWTH[J].Acta Agriculturae Nucleatae Sinica,2011,25(1):191-195. | |
| Authors: | QIANG Ji-ye HUA Cun-cai WANG Shao-hua |
| Institution: | Agronomy College, Nanjing Agricultural University / Key and Open Laboratory of Crop Physiology ＆ Ecology in South China, Ministry of Agriculture, Nanjing Jiangsu ; Tobacco College, Yunnan Agricultural University, Kunming Yunnan ; School of Mathematics, Yunnan Normal University, Kunming Yunnan |
| Abstract: | In order to study the non-uniformly transferring process of some tracer dosages, we assume that the absorption of some tracer by tobacco is a quadratic function of the tracer quantity of the tracer in the case of fast absorption, whereas the exclusion of the tracer from tobacco is a linear function of the tracer quantity in the case of slow exclusion, after the tracer is introduced into tobacco once at zero time. A single-compartment quadratic dynamical model of Logistic type is established for the leaves of tobacco. Then, a two-compartment quadratic dynamical model is established for leaves and culms of the tobacco. Qualitative analysis of the models shows that the tracer applied to the leaves of the tobacco is excluded finally; however, the tracer stays at the tobacco for finite time. Two methods are also given for computing the parameters in the models. Finally, the results of the models are verified by the 32P experiment for the absorption of tobacco. |
| Keywords: | tracer dynamical models tobacco isotope tracer |
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