| 以比生长速率时间曲线为基础的生物群体生长数学模型 |
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| 引用本文： | 宋健,林建群,金燕,沈红,林慧彬,林建强,曲音波. 以比生长速率时间曲线为基础的生物群体生长数学模型[J]. 微生物学通报, 2007, 34(5): 0836-0838 |
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| 作者姓名： | 宋健 林建群 金燕 沈红 林慧彬 林建强 曲音波 |
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| 作者单位： | 1. 山东大学微生物技术国家重点实验室,济南,250100
2. 山东省中医药研究院,济南,250014 |
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| 基金项目： | 高等学校博士学科点专项科研项目;国家重点基础研究发展计划(973计划);山东省优秀中青年科学家研究奖励基金 |
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| 摘 要： | 构建了一个描述限制性环境条件下生物群体生长规律的数学模型。模型中比生长速率(μ)是时间(t)的函数。模型可以很好地拟合多种生物或生物细胞群体生长的延迟期、指数期和稳定期。该模型参数少,模型参数生物学意义明确,计算简单。
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| 关 键 词： | 数学模型 群体生长 比生长速率 |
| 文章编号： | 0253-2654（2007）05-0836-03 |
| 修稿时间： | 2006-12-08 |
A New Population Growth Model Based on the Time Dependent Changes of the Specific Growth Rate |
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| SONG Jian,LIN Jian-Qun,JIN Yan,SHEN Hong,LIN Hui-Bin,LIN Jian-Qiang and QU Yin-Bo. A New Population Growth Model Based on the Time Dependent Changes of the Specific Growth Rate[J]. Microbiology China, 2007, 34(5): 0836-0838 |
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| Authors: | SONG Jian LIN Jian-Qun JIN Yan SHEN Hong LIN Hui-Bin LIN Jian-Qiang QU Yin-Bo |
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| Affiliation: | State Key Lab of Microbiology, School of Life Science, Shandong University, Jinan 250100;State Key Lab of Microbiology, School of Life Science, Shandong University, Jinan 250100;State Key Lab of Microbiology, School of Life Science, Shandong University, Jinan 250100;State Key Lab of Microbiology, School of Life Science, Shandong University, Jinan 250100;Shandong Research Institute of Traditional Chinese Medicine,Jinan 250014;State Key Lab of Microbiology, School of Life Science, Shandong University, Jinan 250100;State Key Lab of Microbiology, School of Life Science, Shandong University, Jinan 250100 |
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| Abstract: | A mathematical model, describing the population growth under limited conditions, was developed based on the time dependent changes of the specific growth rate. This model could simulate the lag growth phase, the exponential growth phase and the stationary growth phase of the population growth of many kinds of biology or their organs or cells. This model had less parameters, and all the parameters had clear physiological meanings and were easy to be calculated. |
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| Keywords: | Mathematical model Population growth Specific growth rate |
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