非线性偏微分方程在生命科学中应用

Nonlinear partial differential equation application in life science

偏微分方程是纯粹数学和应用数学的核心,通常出现在因变量作为空间和时间为自变量的连续变化的函数的模型中。偏微分方程最引人注目的特点是普适性,可以从物理科学、工程科学、生命科学甚至金融科学领域中找每一个数学概念的来源。这种应用性随着现代科学计算技术的发展而日益而增长。Logistic方程是数学生命科学中非常重要的一个模型。提出了非线性偏微分方程中Logistic方程在生命科学中的构建模式和推算方式,并且对Logistic方程在生命科学中的实际运用状况进行了深入分析,并且提出了简单明了的数学公式,在研究变化莫测的生命科学中发挥了重要的价值。

The partial differential equation is the core of pure mathematics and applied mathematics, often appear in the dependent variable as the space and time as the independent variable of continuous variation function model. The most striking feature of partial differential equation is a universality, can from the physical sciences, engineering science, life science, and even in the field of financial science looking for every source of mathematical concept. This application with the development of modern science and computing technology and growing and growing. Logistic equation is essential in life science, a mathematics model. The Logistic equation of nonlinear partial differential equation are presented in the life sciences building model and calculation methods, and practical application situation of Logistic equation in life science, carried on the thorough analysis and put forward the simple and clear mathematical formula, in the vagaries of life science has played an important value.