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。

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.

高等学校博士学科点专向科研基金（No.20040422062），国家重点基础研究发展规划973项目（No.2004CB619202， No.2003CB716006, No.2004CB719702），山东省优秀青年科学家基金（No.03BS143）