1. DEVELOPING THE BIOMEDICAL MATHEMATICS MAJOR AT FSU De Witt Sumners Department of Mathematics Florida State University Tallahassee, FL 32306 sumners@math.fsu.edu

2. THE BOOK OF NATURE IS THE BOOK OF NATURE IS WRITTEN IN THE LANGUAGE OF MATHEMATICS GALILEO GALILEI (1600)

3. 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)

4. 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

5. 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

6. 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

7. Mathematics in Biology and Medicine DNA Enzymes: Chemotherapy Heart: Fibrillation Brain: Function and Malfunction

8. DNA Replication

9. Strand Passage Topoisomerase

10. Strand Exchange Recombinase

11. Enzyme Bound to DNA

12. Topological Enzymology Mathematics: Deduce enzyme binding and mechanism from observed products

13. DNA Trefoil Knot

14. Mathematics in the Cell Mathematics--the ultimate microscope Compute protein structure and function Understand viruses Design chemotherapy drugs

15. Normal Heartbeat Jim Keeener, U. Utah

16. Spiral Waves-Tachycardia Jim Keener, U. Utah

17. Onset of Fibrillation J. Keener, U. Utah

18. Mathematics in the Heart Arrythmias-chaos theory Signal conduction geometry--fractals Fiber structure--finite element methods Conduction waves--differential equations Visualization--computer graphics

20. The Cerebellum

21. Euclidean Flat Map Monica Hurdal, Florida State U.

22. Hyperbolic Flat Map Monica Hurdal, Florida State University

23. Spherical Map Monica Hurdal, Florida State University

24. Mathematics in the Brain Normal brain in silico--computational template for function and anatomy Clinical diagnosis and treatment--compare subject brain to template brain

25. Mathematics in Biology and Medicine Mathematics--the ultimate microscope Biological systems in silico--experiments possible Organ templates--computational diagnosis and treatment

26. 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

27. Thank You National Science Foundation National Institutes of Health Burroughs Wellcome Fund