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关键词： circadian rhythms   clock genes   FOXO1   gluconeogenesis   metabolism   PGC-1 alpha  

摘要： The circadian rhythms influence the metabolic activity from molecular level to tissue, organ. and host level. Disruption of the circadian rhythms manifests to the host's health as metabolic syndromes. including obesity, diabetes, and elevated plasma glucose, eventually leading to cardiovascular diseases. Therefore, it is imperative to understand the mechanism behind the relationship between circadian rhythms and metabolism. To start answering this question, we propose a semimechanistic mathematical model to study the effect of circadian disruption on hepatic gluconeogenesis in humans. Our model takes the light-dark cycle and feeding-fasting cycle as two environmental inputs that entrain the metabolic activity in the liver. The model was validated by comparison with data from mice and rat experimental studies. Formal sensitivity and uncertainty analyses were conducted to elaborate on the driving forces for hepatic gluconeogenesis. Furthermore, simulating the impact of Clock gene knockout suggests that modification to the local pathways tied most closely to the feeding-fasting rhythms may be the most efficient way to restore the disrupted glucose metabolism in liver.

关键词： Hydrogen peroxide   Peroxiredoxin   Thioredoxin   STAT3   Rate coefficients   Kinetic model  

摘要： Appreciation of peroxiredoxins as the major regulators of H2O2 concentrations in human cells has led to a new understanding of redox signaling. In addition to their status as the primary reducers of H2O2 to water, the oxidized peroxiredoxin byproduct of this reaction has recently been shown capable of participation in H2O2-mediated signaling pathways through disulfide exchange reactions with the transcription factor STAT3. The dynamics of peroxidase-transcription factor disulfide exchange reactions have not yet been considered in detail with respect to how these reactions fit into the larger network of competing reactions in human cells. In this study, we used a kinetic model of oxidation and reduction reactions related to H2O2 metabolism in the cytosol of human cells to study the dynamics of peroxiredoxin-2 mediated oxidation of the redox-regulated transcription factor STAT3. In combination with previously reported experimental data, the model was used to estimate the rate coefficient of a biomolecular reaction between Prx2 and STAT3 for two sets of assumptions that constitute lower and upper bound cases. Using these estimates, we calculated the relative rates of the reaction of oxidized peroxiredoxin-2 and STAT3 and other competing reactions in the cytosol. These calculations revealed that peroxiredoxin-2-mediated oxidation of STAT3 likely occurs at a much slower rate than competing reactions in the cytosol. This analysis suggests the existence of more complex mechanisms, potentially involving currently unknown protein-protein recognition partners, which facilitate disulfide exchange reactions between peroxiredoxin-2 and STAT3.

关键词： 数学分析   概率论   关系  

摘要： 探讨数学分析和概率论之间的关系。数学分析是一种逻辑性比较强,思维缜密,理论发展比较完全的工具性入门基础科目,因为其基础性和工具性,其中的很多思考问题的模式和解决问题的思路已经一点点的融入到了概率论中,促进了概率论的良心发展,概率论中的一些思想开始影响数学分析了,使得数学分析也得到了长足的发展。数学分析和概率论的关系相辅相成,相互促进,不可割裂,对各自的学科都有促进作用,让两个学科共同进步。

关键词： 不等式   极限   收敛  

摘要： 高中数学更多的是应用一些等式思维,而大学数学需要的是不等式思维。不等式思维在数学分析中有着广泛的应用。下面将从求极限,判断级数的敛散性以及判断含参反常积分的一致收敛性几个方面来体会不等式思维在数学分析中的若干应用。

关键词： 数学分析   中学数学   指导作用  

摘要： 数学分析对于中学数学来说,有着很大的指导作用。因为在中学的数学学习过程中,许多学生不会将问题活学活用,这样不利于数学成绩的提高。而数学分析作为一种有效的学习数学的方法,将这种方法加以运用,可以将那些抽象又复杂的运算公式简化,可以有效的提升学生做数学题时候的解题效率。本文就数学分析对中学数学的指导作用做出探究探讨。

关键词： 高中数学   分析问题   解决问题  

摘要： 随着新的教育形势的出现和新课程改革的逐步推进,在高中阶段对于数学这一学科的教学和学习提出了更高的要求,突出表现在培养学生分析和解决问题的能力。本文主要从教师和学生两个方面出发,探讨了在高中阶段如何培养学生分析和解决数学问题的能力。

关键词： 互联网交易   新经济   发展规律   数据处理   数学规律  

摘要： 随着互联网交易的兴起,人们越来越倾向于选择这种方便快捷的的消费方式,研究互联网金融消费行为,对于分析新经济的发展规律,对宏观经济的支撑作用,以及互联网经济的未来发展趋势,都有着非常重要的意义,本文从数据出发,通过对过去几年的数据处理,揭示了互联网经济增长的数学规律,并对其进行了解读和分析,提出了自己对新经济的理解。

关键词： 网络教学平台   混合式教学   数学分析  

摘要： 针对《数学分析》课程教学中存在的问题,将网络教学平台和课堂教学相结合,从课程的准备与设计、课堂的巩固与拓展和课后的反思与延伸等构建混合式教学模式。

关键词： 重力梯度   加速度计   旋转   测量结构   数学分析  

摘要： 基于现有重力梯度仪结构特点和研究基础,提出一种将三轴加速度计与旋转相结合的全张量重力梯度测量系统,并从数学上证明其可行性和结构优越性,为国产重力梯度仪的自主研发提供参考。

关键词： 太阳直射点   移动速度   数学分析   演示   仪器   纬度   北回归线   地理教学  

摘要： 一、问题缘起 中学地理教学中通常认为太阳直射点在南北回归线之间匀速移动,按比例进行推算,即3个月太阳直射点移动23.5°,一个月移动7.8°,一日移动15.4′。2007年高考文综新课标Ⅰ卷7题,2015年重庆文综卷12题,均是按此思路设计命制的。事实上,太阳直射点南北移动速度很不均匀,以二分日最快,二至日最慢,距二分日越近时,速度越快,距离二至日越近时,速度越慢。