there are many industr ial processes of a nonlinear character for which i t i s di f icul t to develop an effective industrial process control system because no eficient mathematical method is known to carry out the optimization procedure. 0 This paper presents a flow chart description of a computer program incorporating a new optimization technique which will resolve many such problems. Alth...

Mathematical models of biological systems often have components that vary on different timescales. This multi-timescale character can lead to problems when doing computer simulations, which can require a great deal of computer time so that the components that change on the fastest time scale can be resolved. Mathematical analysis of these multi-timescale systems can be greatly simplified by par...

This paper analyzes the phase error for a three-dimensional (3D) shape measurement system that utilizes our recently proposed projector defocusing technique. This technique generates seemingly sinusoidal structured patterns by defocusing binary structured patterns and then uses these patterns to perform 3D shape measurement by fringe analysis. However, significant errors may still exist if an o...

In this article we present a technique for segmenting the affected tissue visible as white flaring in the ultrasound brain images of neonates with Leukomalacia (White Matter Damage). The technique combines both textural information of the investigated tissue as well as mathematical morphology in order to detect and delineate the boundaries of the affected parts of the brain. The reproducibility...

The Binary Space Partition (BSP) technique is a simple and efficient method to adaptively partition an initial given domain to match the geometry of a given input function. As such the BSP technique has been widely used by practitioners, but up until now no rigorous mathematical justification to it has been offered. Here we attempt to put the technique on sound mathematical foundations, and we ...

When making antenna measurements, great care must be taken in order to obtain high quality data. This is especially true for near-field antenna measurements as a significant amount of mathematical post-processing is required in order that useful far-field data can be determined. However, it is often found that the integrity of these measurements can be compromised in a large part through range ...

In this thesis, a mathematical model that describes a “Unique Constraint Domain” is defined. Following, the “Ordered Unique Constraint Domain” is also mathematically defined. With those definitions, a cross-domain ordering is also defined. Then it is shown that relationships between tables in a Relational Database Management System can be defined in other forms than the usual ways, using cross-...

This paper investigates the influence of the Raf Kinase Inhibitor Protein (RKIP) on the Extracellular signal Regulated Kinase (ERK) signaling pathway through mathematical modeling and simulation. Using nonlinear ordinary differential equations to represent biochemical reactions in the pathway, we suggest a technique for parameter estimation, utilizing time series data of proteins involved in th...

We give examples of how mathematical modelling is used to model processes in sport. We start by giving a general overview of areas currently employing mathematical tools to analyze the processes involved. We then go onto look in more detail at the use of mathematics to model the physiological response to exercise. It should also be noted that this area is not only fundamental to the science of ...

-Mathematical Morphology provides systematic approach to analyze geometric Characteristic of signal or images, has been applied to many application such as Edge Detection, Object segmentation, noise suppression. Image segmentation is one of the most important categories of image processing. The watersheds transformation for image segmentation using mathematical morphology is widely used. When w...