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Projects in 2006–2007

Beckman Coulter, Inc.: A Modeling Tool for Optimization of a Biological Assay

Henry Krieger

Sandwich immunoassays have numerous applications in such fields as diagnostic medicine and environmental contaminant detection. Beckman Coulter has approached the Harvey Mudd College Mathematics Clinic Program to assemble a team which will develop a mathematical model of such a system in order to improve the sensitivity and duration of the test. The team has developed a simple kinetic model of the immunoassay and investigated several possible ways to make this basic model more accurate and comprehensive.


  • Maureen Saint Georges Chaumet
  • Krystle McBride
  • Daniel Percival
  • Jason Santiago
  • Aaron Tamura-Sato

D4 Networks: A Scheduling and Pricing Model for an Air Taxi Business

Susan Martonosi

Cheaper, smaller jet aircraft are reducing costs for airline charter businesses and encouraging them to move to a pay-per-seat model, in which multiple clients can be satisfied on a single flight. The work in this paper automates the structure of the pay-per-seat model. To do so, we develop a minimum-cost aircraft scheduling model with associated ticket prices. After formulating two scheduling models based on past literature, we encode them using integer programming and intend to compare them based on their processing time. The problem of ticket pricing is to estimate a price for eventual use in an online reservation system and also to generate a final ticket price that is both fair to the customer and stable under schedule changes. This price must cover the operating cost not only of flight legs, but also of positioning legs. Future work includes the completion of the scheduling formulations and the formalization of ticket pricing algorithms.


  • Drew Murphy
  • Joaquin Nagel
  • James Osburn
  • Douglas Reich
  • Wyatt Toolson

Hewlett-Packard Labs: Identifying and Minimizing Non-Smoothness Issues in ICC Profiles

Weiqing Gu

Color management, or the translation of color data between electronic devices, entails transforming color data through a perceptually uniform pro- file connection space, or PCS. An ICC profile for a device consists of a set of color look-up tables that are interpolated to transform color data to and from the PCS. Non-smoothness of an ICC profile is defined as banding and discontinuities that the profile creates when transforming a smooth image. Currently, there are no automated ways to identify or reduce nonsmoothness—all corrections must be performed manually. Our project has two objectives: first, to create a metric that can qualitatively measure the non-smoothness of ICC profiles, and second, to develop a method that automatically adjusts ICC profiles to reduce non-smoothness. In this report, we cover the color science background necessary to understand our project, then explain the project's motivation and goals. We then discuss our approach to modeling the problem, and reveal our proposed strategies for reaching our goals. Finally, we give an overview of this semester's work and the work plan for the next few months.


  • Nate Chenette
  • James Egan
  • Herbie Huff
  • William Warriner