| 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)
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| 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
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| 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
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| 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
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| 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 |