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   mathematical biology 的翻译结果: 查询用时:0.181秒
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mathematical biology
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  数学生物学
     The equation has recently attracted a lot of attention in the context of chemical kinetics and mathematical biology.
     这个方程被广泛地应用于化学动力学和数学生物学 .
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  “mathematical biology”译为未确定词的双语例句
     Lotka-Volterra model and chemostat model are two kinds of the most significant models in Mathematical biology.
     Lotka-Volterra模型和恒化器模型是两类重要的生物数学模型。
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     Moreover the estimating of the parameters by applying statistical methods will become an important disscussion with applying stochastic differential equation extensively in the mathematical biology .
     此外,随着随机微分方程在生物数学等应用学科中的广泛应用,利用统计学方法研究随机微分方程中的参数估计问题已成为一个非常重要的课题。
短句来源
     Moreover, the estimating of the parameters by applying statistical methods will become an important disscussion with applying stochastic differential equation extensively in the mathematical biology .
     此外,随着随机微分方程在生物数学等应用学科中的广泛应用,利用统计学方法研究随机微分方程中的参数估计问题已成为一个非常重要的课题。
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     The research of mathematical biology model has got the extensive application through the development of a century.
     经过一个世纪的发展,生物数学模型的研究得到了广泛的应用。
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     Chemostat model is one of the most significant models in Mathematical biology.
     恒化器模型是生物和数学中非常重要的模型之一。
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     In the biology of E.
     在 E.
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     On Application of Mathematical Computation in Biology Teaching
     数学计算在生物教学中的应用
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     Introduction to Common Mathematical methods in Biology
     浅谈生物学中常用的数学方法
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     On Mathematical Experiment
     关于数学实验
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     On Mathematical Debate
     数学争论浅析
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  mathematical biology
These weakly coupled systems arise in a variety of applications like hydrological problems, the theory of reactive flows, relaxation schemes, or mathematical biology.
      
Well-posedness of a quasilinear hyperbolic-parabolic system arising in mathematical biology
      
New Exact Solutions of One Nonlinear Equation in Mathematical Biology and Their Properties
      
Transport, reaction, and delay in mathematical biology, and the inverse problem for traveling fronts
      
Everitt an introduction to mathematical taxonomy Cambridge studies in mathematical biology 5
      
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The traveling wave speed and the solution of a nonlinear hyperbolic reaction-diffusion equation?-?the Fisher equation by admitting an exact traveling wave-front solution are presented.The equation has recently attracted a lot of attention in the context of chemical kinetics and mathematical biology.

通过引入一种解的形式讨论了双曲型Fisher方程 ,利用待定系数法得到该方程的新的行波解及行波波速 .这个方程被广泛地应用于化学动力学和数学生物学 .

The aim of this paper is to investigate the bifurcation and stability of the positive steady-state solutions to a mathematical biology model of two competition species. These two species interact with each other under the cross-diffusion effect. In this investigation, the spectral analysis method and the bifurcation theory are employed to analyze the stability of the semitrivial steady-state solutions. Then, by respectively using the growth rates a and b as bifurcation parameters, the existence and stability...

The aim of this paper is to investigate the bifurcation and stability of the positive steady-state solutions to a mathematical biology model of two competition species. These two species interact with each other under the cross-diffusion effect. In this investigation, the spectral analysis method and the bifurcation theory are employed to analyze the stability of the semitrivial steady-state solutions. Then, by respectively using the growth rates a and b as bifurcation parameters, the existence and stability of the nontrivial positive steady-state solutions from the semitrivial steady-state solutions are obtained. The above-mentioned results are finally applied to a specific biology model, with the conclusion that there are nontrivial positive steady-state solutions when a and b lie in some specific ranges. The necessary and sufficient conditions for the asymptotical stability of the solutions are also proved.

为得到一类在交叉扩散效应下两种群相互竞争的生物数学模型的正定态解的分 歧和稳定性,运用谱分析方法和分歧理论,首先对半平凡定态解的稳定性作出了分析,然 后分别以生长率a和b为分歧参数,得到发自半平凡定态解的非平凡定态正解的存在性 和稳定性.将以上结论用于具体的生物模型,发现当a和b在某个具体范围时,分别存在 非平凡正定态解,文中同时证明了其渐进稳定的充要条件.

Since the middle of the 20-th century, a new interdisciplinary subject is gradually formed at the edge of fields of biology and physics, mechanics and mathematics, the so-called mathematical biology. It treats the biological, living system as a complex dynamics system and aims at a thorough research from the angle of applied mathematics. The topics currently investigated in mathematical biology are far beyond the area of bio-mechanics that people are familiar with. The rapid growth of this subject...

Since the middle of the 20-th century, a new interdisciplinary subject is gradually formed at the edge of fields of biology and physics, mechanics and mathematics, the so-called mathematical biology. It treats the biological, living system as a complex dynamics system and aims at a thorough research from the angle of applied mathematics. The topics currently investigated in mathematical biology are far beyond the area of bio-mechanics that people are familiar with. The rapid growth of this subject profoundly changed the feature of the ancient, traditional that is mainly dealing biology with the observations, classifications and experiments as its characteristics. The aim of this article attempts to introduce and discuss a research direction, in mathematics biology -mathematical physical modeling studies of growth, development and evolution of the plant system. It is evident that such a research direction is vital both theoretically and practically. In doing so, the article briefly reviews the research activities along this direction in China and in other countries during the recent years, elucidates the essential differences between the dynamical mathematical modeling, statistical modeling and computer simulation, which have been applied in the investigations of this subject. The present article further selects the topic of growth of the plant root system as the break-through point of the investigation. It demonstrates that by treating the system of root growth as a thermo-dynamical open system, based on the principles of irreversible thermo-dynamics, plant cytology and physiology, combining the microstructure of the plant internal organization, one may establish a system of governing differential equations, that properly describes the macroscopic transport processes of the internal materials, energy and signals in the system. Through solving these equations with the powerful methods of nonlinear science and applied mathematics, and comparing the theoretical results obtained with the experimental observations, one may more deeply explore and better understand the mechanisms of up-taking process of water and nutrients from the environment throught the root system, as well as the various instability and bifurcation phenomena of biological interface during the root growth.

自20世纪中叶开始,在生物学,物理学,力学,数学的边缘领域逐渐形成了一门新兴的交叉学科——数学生物学,它将生物系统视为一个复杂的动力学系统,从应用数学角度进行深入研究,其研究课题目前已远远超出人们熟知的生物力学领域.这门学科的迅速发展正深刻地改变着古老的,以观察、分类、实验为特征的传统生物学的面貌.本文旨在探讨数学生物学中的一个具有重大理论与实际意义的课题方向:植物系统生长、发育、演化动力学过程的数学、物理模型研究;介绍近年来国内、外在这一方向的研究动态;并说明在对此课题的研究方法上, 动力学数学模型与统计学模型以及计算机模拟的根本区别.进而提出以植物根系生长过程的研究为突破口,说明若将生长系统处理成一个热力学开放系统,从不可逆过程热力学、植物细胞学与植物生理学原理出发,结合植物内部组织的微观结构的确立,人们有可能建立起一套合适的描述系统内部物质、能量与信号输运的控制微分方程;再通过运用强有力的非线性科学、应用数学的方法求解所得微分方程式,并将理论预测与实验观察结果进行比较,人们可深入探索与更好地理解根系对土壤中的水分与营养物质吸收机制和根系生长过程中所出现的种种生物界面不稳定性现象.

 
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