Overview

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Canada-China Workshop on Industrial
Mathematics May 22-25, 2005
Overview Mathematics of Information Technology
and Complex Systems Arvind Gupta, Scientific
Director
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Science and industry

• Mathematization of Science

Economic Spin-offs
New Problems
Mathematization of Industry
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Math through the ages

• The root of innovation
• A framework for systems too
• complicated to study by observation
• large for conventional tools
• fragile to disturb with experiments
• costly to deal with in an ad-hoc fashion

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Archimedes principle
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Archimedes model
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Galileo The heretic
1564-1642
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The Newtonian revolution
(1642-1727)
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A quantum leap
Newtonian mechanics
Quantum mechanics
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Fluid flows for car design
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Simulating buoyancy
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Quantum Computing
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The Canadian Response

• MITACS The Mathematics of Information Technology
  and Complex Systems

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What is MITACS!

• One of 18 Networks of Centres of Excellence
• Fund applied mathematical sciences research
• Generate mathematical methodologies
• With partners
• Ensure important economic and social benefits
• 2005-06 funding
• 5.4M Federal government
• 3.0M Partner organizations

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Why MITACS?

• Change academic and industry cultures
• High quality applied research
• High scientific standards
• Active involvement with partners
• Multi-disciplinary, multi-regional teams
• Ensure Canada at the forefront

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Our Goals

• Benefits to Canadian industry and society
• Strong links between
• Mathematical sciences community
• Key non-academic partners
• Enhanced skill sets for Canadian students

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Who we are

• 335 scientists
• 32 academic disciplines
• 38 Canadian universities
• 550 students and post-docs
• 155 partners
• 5 themes
• 32 projects

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Our focus

• Biomedical and Health
• Communications, Networks and Security
• Environment and Natural Resources
• Information Processing
• Risk and Finance

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• Research Projects

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MITACS Projects

• National, ongoing
• Avg. annual funding 200K
• Excellent science
• Involve multiple universities
• High potential for technology transfer
• Strong training component
• Partners provide gt 25 funding

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Partnerships
ST PAUL'S HOSPITAL
Financial CAD
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And more
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• Case Studies

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(No Transcript)
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Fuel Cells
Vehicle images courtesy Daimler Chrysler
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Fuel cell basics
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Problems in fuel cell construction
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Atrial fibrillation

• Irregular heartbeats
• gt200,000 Canadians suffer
• 6-18 times more likely to have a stroke
• AF is the leading cause of strokes
• Strokes cost 3B to Canadian economy

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Heart basics
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Electrical signals in the heart
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Atrial fibrillation
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Mathematics models electrical signals in the heart
Normal beating heart Regular patterns in
excitable medium.
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Heart in fibrillation Chaotic behavior of
excitable medium.
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Experimenting with real human hearts isnt
possible. Experimenting with accurate
mathematical models is. Models have led to new
understanding.
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Security through mathematics
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Small Business The Economic Engine
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The future is mathematics

• Ecology
• Genetics
• Life
• Stock Markets
• Economics
• Transportations
• Psychology
• Nanotechnology
• Music/Video
• Home Appliances
• Privacy

• Fluid Flows
• Fires
• Climate
• Oceanography
• Electromagnetics
• Materials
• Chemical processes
• Nuclear devices
• Crop Growth
• Biological Processes
• Epidemics

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• Selected Other Programs

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Graduate Research Internships

• Industry connection through grad. students
• Student, supervisor, organization
• Identify mathematical research problem
• Develop a work plan
• Student spends 2 months at partner site
• Returns to university to do research
• Funded 50-50 between MITACS/industry

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Graduate Training Schools

• One to two weeks lon
• Focused on MITACS theme areas
• 11 Schools offered in 2004-2005
• Sample schools
• Canadian Bioinformatics workshops
• Modeling infectious disease transmission
• Quantum Information Processing
• Analysis of ecological systems
• Mathematical finance

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Round Tables

• Two day industry-university workshops
• Focus on one issue
• Equal participation from industry/academia
• Formulate long-term plans for future activities
• Sample Round Tables
• Data Mining
• Energy
• Aerospace
• Pharmaceuticals
• Resource Extraction

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International Programs

• Scientific Exchanges
• First exchange launched with China
• 4 month to 12 month visits
• Exploring new exchanges with others
• Joint workshops and conferences
• Joint summer schools

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Banff International Research Station (BIRS)
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Mathematics A living discipline
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A platform for our imagination
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Paul Carlson