Simon Fraser University

This project aims to investigate the physical and biological processes that initiate sap flow in maple trees during early spring when maple sap is harvested. Our study will be centered around developing a mathematical model that captures both sap flow and heat transport in the porous wood tissue, and then investigating solutions using a combination of analytical and numerical techniques.

The effect of the British Columbia aquaculture industry on wild salmon stocks is currently unclear. In this project we will create a scientific advisory panel to guide development of an explicit experiment testing the effect of fish farms on wild smolt survival by using a large-scale marine telemetry array to measure survival of key BC salmon stocks. The PDF will extend Kintama’s existing mathematical software to design an optimal 2nd generation array to measure the effect of fish farm exposure on survival and advance aspects of the underlying mathematics.

Computer algebra systems such as Maple compute using mathematical formulae as well as numbers, mechanizing the mathematics used in education and research labs. This project focuses on the design and implementation of algorithms for these systems. Emphasis is placed on efficiency that allows large and complex problems of the type encountered in industrial settings to be solved. In the past year the team has made major advances in the core tools that are needed to solve these complex problems.

Efficiency in modern industrial operations requires that available resources are deployed in an optimal manner. The study of facility location is concerned with the placement of one of more facilities in a way that meets a particular objective, such as minimizing transportation costs, providing a high level of service to customer or capturing market share. This project, by exploiting the mathematics of computational geometry and algorithmic graph theory, develops new tools to aid in the location of facilities to optimally serve the demands of customers.

Bacterial biofilms are microbial depositions on immersed surfaces and are ubiquitous in natural and engineered environments. For example, they play a significant role in medical applications where they can grow on artificial implants and cause infections; they form dental plaques and contribute to tooth decay; they can be utilized to assist in clean-up of contaminated soils or groundwater aquifers; they accelerate corrosion of metal surfaces; and they are a main culprit behind contamination of drinking water systems and food processing equipment.