Analysis and Validation of a Mathematical Model for Intracranial Pressure Dynamics

Lumped parameter, compartmental models provide a promising Method for mathematically studying the dynamics of human intracranial pressure. In this modeling approach, a system of fully time-dependent differential equations for interacting compartmental pressures is obtained by considering the intracranial system to be confined within the almost-rigid skull and developing continuity equations associated with conservation of mass. Intracranial volumes and flows are related to compartmental pressure differences through compliance and resistance parameters. In the nonlinear case where compliances are not constant, there is a lack of physical information about these parameters. Consequently, it is vital that any mathematical model with an assumed pressure-dependent compliance be validated through comparison with experimental data. The present work develops a logistic representation for the compliance between the cerebrospinal fluid and brain matter compartments. The nonlinear mathematical model involving this logistic compliance is validated here by comparing its predicted response for bolus injections of cerebrospinal fluid to laboratory data generated in an animal model. Comparison with the animal studies fully supports the validity of the mathematical model with the logistic compliance.     

Spherical objects of the multiplicity free Brauer tree algebra with two edges

We explicitly describe all spherical objects, as well as tilting objects, of the multiplicity free Brauer tree algebra with two edges.     

基于局部尺度不变特征的快速目标识别

介绍了图像局部尺度不变特征的提取方法,将局部尺度不变特征用于目标识别,为提高识别实时性,提出利用金字塔和尺度空间的混合多尺度表示方法,按照从大尺度到小尺度的顺序对待识别图像的特征点进行检测与匹配,直到完成识别为止,有效地提高了识别速度。     

基于数字显微全息技术的相位光栅结构测量

以相位光栅为实验对象,开展了基于数字显微全息技术的相位物体三维显微结构信息的再现研究.在Mach-Zender透射式实验系统的基础上,分别采用显微物镜和无透镜放大方式,对相位光栅进行放大,以提高系统横向分辨率.在显微物镜放大系统中,菲涅耳近似数值再现算法与双波长技术相结合,抑制主要系统噪音,获得相位光栅的显微结构三维分布.在无透镜放大数字显微全息系统中,分别利用菲涅耳近似法和卷积方法再现原始物波前,并提出相减法消除系统主要球面误差,获得相位光栅的深度信息.实验结果与Veeco干涉仪测试结果比对表明,光栅周期和深度结构与干涉仪测试数据相符.     

Free hypermodules: a categorical approach

Abstract

In category theory, the existence of free objects is very important, especially free modules that play an important role in homological algebra. Although algebraic hyperstructures are a natural extension of algebraic structures, due to the major difference between them, study-free objects in algebraic hyperstructures become very difficult. In this article, we provide a categorical approach for the construction of free hypermodules. In fact, by considering appropriate morphisms between hypermodules, we characterize free hypermodules from three different perspectives.     

The safer chemical design game. Gamification of green chemistry and safer chemical design concepts for high school and undergraduate students

Green chemistry can strongly attract students to chemistry. We, therefore, developed a green chemistry educational game that motivates students at the undergraduate and advanced high school levels to consider green chemistry and sustainability concerns as they design a hypothetical, chemical product. The game is intended for incorporation into any chemistry course for majors and non-majors that teaches sustainability and/or the Principles of Green Chemistry at the undergraduate level. The game is free of charge and encourages students to think like professional chemical designers and to develop a chemical product with respect to function and improved human and environmental health. This computer simulation has been assessed by educators and can be seamlessly integrated into an existing curriculum.     

Finsler geometry of topological singularities for multi‐valued fields: Applications to continuum theory of defects

Topological singularity in a continuum theory of defects and a quantum field theory is studied from a viewpoint of differential geometry. The integrability conditions of singularity (Clairaut‐Schwarz‐Young theorem) are expressed by a torsion tensor and a curvature tensor when a Finslerian intrinsic parallelism holds for the multi‐valued function. In the context of the quantum field theory, the singularity called an extended object is expressed by the torsion when the intrinsic parallelism is related to the spontaneous breakdown of symmetry. In the continuum theory of defects, the path‐dependency of point and line defects within a crystal is interpreted by the non‐vanishing condition of torsion tensor in a non‐Riemannian space osculated from the Finsler space, and the domain is not simply connected. On the other hand, for the rotational singularity, an energy integral (J‐integral) around a disclination field is path‐independent when a nonlinear connection is single‐valued. This means that the topological expression for the sole defect (Gauss‐Bonnet theorem with genus ) is understood by the integrability of nonlinear connection.

     

基于ARM处理器的运动目标检测与跟踪系统

运动目标的检测及跟踪技术广泛应用于军事与民用领域。传统基于PC的目标跟踪系统不能满足对体积、功耗及便携性的需求,基于ARM处理器S3C2440A和嵌入式Linux操作系统构建了一个比较完整、实用的目标跟踪系统。该系统利用摄像头采集运动目标图像,处理器进行数字图像处理,LCD显示跟踪目标。阐述了实现原理及图像获取、目标检测、图像分割和目标跟踪算法程序流程。通过实际测试,该系统能满足对低速运动目标的检测、识别和跟踪,且具有较好的实时性和稳定性。     

一种具有深度值的莫尔轮廓图

提出一种具有深度值的莫尔轮廓图。将一称为高标的正圆锥与被测物一起置于粗光栅之后 ,平行光照明 ,远场拍照。在所拍图片上高标的高度值 (已知 )除以高标上的等高线数即可求得相邻等高线的深度值 ,进而直接在莫尔轮廓图上读出任一点到基准点的深度差值     

CCD摄像机交汇测量目标脱靶量布站分析

分析线列CCD摄像机交汇测量的原理,以空间虚拟的光电靶代替实特靶来实现对弹丸目标脱靶量的实时获取。在分析了CCD摄像机测你精度与布站方式等影响交汇测量精度的因素后,对光电靶面上不同位置点的CCD摄像机交汇坐标测量精度进行了计算,给出测量精度与布站的关系。