Mathematics of Information Technology and Complex Systems

spreadeaglerainMechanics

Oct 24, 2013 (3 years and 11 months ago)

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Overview

Mathematics of Information
Technology and Complex Systems

Arvind Gupta, Scientific Director

Canada
-
China Workshop on

Industrial Mathematics

May 22
-
25, 2005

Science and industry

Mathematization of Science

Mathematization of Industry

New Problems

Economic Spin
-
offs

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

Archimedes’ principle

Archimedes’ model

Galileo


The heretic

1564
-
1642

The Newtonian revolution

(1642
-
1727)

A quantum leap

Newtonian mechanics

Quantum mechanics

Fluid flows for car design

Simulating buoyancy

Quantum Computing

The Canadian Response

MITACS: The Mathematics of Information
Technology and Complex Systems

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

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

Our Goals


Benefits to Canadian industry and society


Strong links between:


Mathematical sciences community


Key non
-
academic partners


Enhanced skill sets for Canadian students

Who we are


335 scientists


32 academic disciplines


38 Canadian universities


550 students and post
-
docs


155 partners


5 themes


32 projects

Our focus


Biomedical and Health


Communications, Networks and Security


Environment and Natural Resources


Information Processing


Risk and Finance

Research Projects

MITACS Projects


National, ongoing


Avg. annual funding: ~$200K


Excellent science


Involve multiple universities


High potential for technology transfer


Strong training component


Partners provide > 25% funding

Partnerships

Financial CAD
®

ST PAUL'S
HOSPITAL


And more …

Case Studies

Fuel cell basics

Problems in fuel cell
construction

Atrial fibrillation


Irregular heartbeats


>200,000 Canadians suffer


6
-
18 times more likely to have a stroke


AF is the leading cause of strokes


Strokes cost ~$3B to Canadian economy

Heart basics

Electrical signals in the heart

Atrial fibrillation

Mathematics models electrical
signals in the heart

Normal beating heart:

Regular patterns in excitable medium.

Heart in fibrillation:

Chaotic behavior of excitable medium.

Experimenting with real human hearts isn’t possible.

Experimenting with accurate mathematical models is.
Models have led to new understanding.

Security through mathematics

Small Business: The
Economic Engine

The future is mathematics


Fluid Flows


Fires


Climate


Oceanography


Electromagnetics


Materials


Chemical processes


Nuclear devices


Crop Growth


Biological Processes


Epidemics


Ecology


Genetics


Life


Stock Markets


Economics


Transportations


Psychology


Nanotechnology


Music/Video


Home Appliances


Privacy

Selected Other Programs

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

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

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

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

Banff International Research
Station (BIRS)

Mathematics: A living discipline

A platform for our imagination

Paul Carlson