数学模型在禽类生产研究中的应用

数学模型应用于动物生产研究，实质上是一个集动物生产技术、高等数学和计算机技术等为一体的高新技术。对近年来数学模型在禽类生长和产蛋营养需要及产蛋曲线研究中的应用作一综述。     

Cellular mechanism of cardiac alternans: an unresolved chicken or egg problem简

T-wave alternans, a specific form of cardiac alternans, has been associated with the increased susceptibility to cardiac arrhythmias and sudden cardiac death (SCD). Plenty of evidence has related cardiac alternans at the tissue level to the instability of voltage kinetics or Ca²⁺ handling dynamics at the cellular level. However, to date, none of the existing experiments could identify the exact cellular mechanism of cardiac alternans due to the bi-directional coupling between voltage kinetics and Ca²⁺ handling dynamics. Either of these systems could be the origin of alternans and the other follows as a secondary change, therefore making the cellular mechanism of alternans a difficult chicken or egg problem. In this context, theoretical analysis combined with experimental techniques provides a possibility to explore this problem. In this review, we will summarize the experimental and theoretical advances in understanding the cellular mechanism of alternans. We focus on the roles of action potential duration (APD) restitution and Ca²⁺ handling dynamics in the genesis of alternans and show how the theoretical analysis combined with experimental techniques has provided us a new insight into the cellular mechanism of alternans. We also discuss the possible reasons of increased propensity for alternans in heart failure (HF) and the new possible therapeutic targets. Finally, according to the level of electrophysiological recording techniques and theoretical strategies, we list some critical experimental or theoretical challenges which may help to determine the origin of alternans and to find more effective therapeutic targets in the future.     

数字产品定价数学模型的分析与论证

通过对数字产品的动态成本与动态效用集成分析,并在此基础上建立数字产品的定价数学模型,数学分析表明模型与实际相符,因而可由数学模型获得与市场对接的定价数据.     

关于两个数学模型的经济意义及其应用

指出微分方程dS/S=rdt与极限limx→∞（1＋1/x）x的经济意义,给出了应用实例,说明它们是同一个经济问题的数学描述,不同之处在于描述的角度不同。     

高血压大鼠与正常大鼠左室流出道动作电位的分析

目的:为了研究高血压大鼠左室流出道电位的变化。方法:利用大鼠的离体心脏,采用常规玻璃微电极细胞内记录方法。观察静息电位(RP)、0相去极幅度(APA)、0相最大除极速度(Vmax)、复极时程(APD)以及复极50％(APD_(50))和复极90％(APD_(90))的时间。结果:高血压大鼠左室流出道诱发电位APD、APD_(50)、APD_(90)都明显高于正常同龄大鼠(P<0.01)。结论:高血压大鼠左室流出道动作电位复极时程延长。     

圆度误差数学模型的建立与仿真分析

按照形状与位置公差国家标准中圆度误差的规定，采用最小二乘圆法建立了圆度误差的数学模型，并对其进行了仿真分析。文中的数学模型和仿真研究研制圆度测量仪和在线测量系统提供了理论依据。     

DVD在线租赁问题三的数学模型与求解

本文针对2005年全国大学生数学建模竞赛D题——DVD在线租赁问题的问题三，建立了数学模型，并给出了该数学模型的精确求解。     

稀土交流永磁电机数学模型及控制

对稀土交流永磁电机的结构特点进行了分析,研究了电机的数学模型.充分利用转子位置检测器的转子检测信号,进行特殊的逻辑处理以完成复杂的矢量控制,使定子电流和感应电势同相,从而达到用电流来控制电磁转矩的目的.文章给出了具体工作电路和特殊问题的处理方法.