DEVELOPING THE BIOMEDICAL MATHEMATICS MAJOR AT FSU : DEVELOPING THE BIOMEDICAL MATHEMATICS MAJOR AT FSU De Witt Sumners
Department of Mathematics
Florida State University
Tallahassee, FL 32306
sumners@math.fsu.edu
THE BOOK OF NATURE IS THE BOOK OF NATURE IS WRITTEN IN THE LANGUAGE OF MATHEMATICS GALILEO GALILEI (1600) : THE BOOK OF NATURE IS THE BOOK OF NATURE IS WRITTEN IN THE LANGUAGE OF MATHEMATICS GALILEO GALILEI (1600)
Slide3 : I HAVE DEPLY REGRETTED
THAT I DID NOT PROCEED FAR
ENOUGH AT LEAST TO
UNDERSTAND SOMETHING OF THE
GREAT LEADING PRINCIPLES
OF MATHEMATICS
CHARLES DARWIN (1860)
FSU BIOMEDICAL MATH : FSU BIOMEDICAL MATH • Prepare undergrads for math or bio grad school, med school; Hughes Fellow opportunities
• Interdisciplinary curriculum: mathematics, statistics, computer science: biology, biochemistry
• 2 new biomed math courses:
Biocalculus Lab
Math Modeling in Biology
Biocalculus Lab : Biocalculus Lab • Required of all bio majors
• Calculus I pre/co requisite
• Matlab based
• Integrates mathematics, computation and biology
• Calculus I bio applications
• Exponential functions
• Linear regression
• Derivatives
• Related rates
• Integrals
• Differential equations
• Dynamical systems
EARLY USE OF MATHEMATICS : EARLY USE OF MATHEMATICS Galen (200):blood created by eating food, ebbs and flows, goes from one side of heart to other via invisible pores in the heart wall, arteries and veins sealed and separate from each other
William Harvey (1615) proves that blood circulates: by studying cadavers, heart pumps 27 lt/hr, average human has 5.5 liters of blood
Mathematics in Biology and Medicine : Mathematics in Biology and Medicine DNA Enzymes: Chemotherapy
Heart: Fibrillation
Brain: Function and Malfunction
Slide8 : DNA Replication
Slide9 : Strand Passage Topoisomerase
Slide10 : Strand Exchange Recombinase
Enzyme Bound to DNA : Enzyme Bound to DNA
Topological Enzymology : Topological Enzymology Mathematics: Deduce enzyme binding and mechanism from observed products
DNA Trefoil Knot : DNA Trefoil Knot
Mathematics in the Cell : Mathematics in the Cell Mathematics--the ultimate microscope
Compute protein structure and function
Understand viruses
Design chemotherapy drugs
Slide15 : Normal Heartbeat Jim Keeener, U. Utah
Slide16 : Spiral Waves-Tachycardia Jim Keener, U. Utah
Slide17 : Onset of Fibrillation J. Keener, U. Utah
Mathematics in the Heart : Mathematics in the Heart Arrythmias-chaos theory
Signal conduction geometry--fractals
Fiber structure--finite element methods
Conduction waves--differential equations
Visualization--computer graphics
Slide20 : The Cerebellum
Slide21 : Euclidean Flat Map Monica Hurdal, Florida State U.
Slide22 : Hyperbolic Flat Map Monica Hurdal, Florida State University
Slide23 : Spherical Map Monica Hurdal, Florida State University
Mathematics in the Brain : Mathematics in the Brain Normal brain in silico--computational template for function and anatomy
Clinical diagnosis and treatment--compare subject brain to template brain
Mathematics in Biology and Medicine : Mathematics in Biology and Medicine Mathematics--the ultimate microscope
Biological systems in silico--experiments possible
Organ templates--computational diagnosis and treatment
Where can math help out? : Where can math help out? Too big--biosphere
Too slow--macro evolution
Too remote in time--early extinctions
Too complex--brain, stock market Too small--molecular structure
Too fast--photosynthesis
Too remote in space--life at the extremes
Too dangerous or unethical--epidemiology of infectious agents, war weapons and strategies Joel Cohen, Rockefeller University
Thank You : Thank You National Science Foundation
National Institutes of Health
Burroughs Wellcome Fund