1 / 27

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).

hadden
Download Presentation

DEVELOPING THE BIOMEDICAL MATHEMATICS MAJOR AT FSU

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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 ISWRITTEN IN THE LANGUAGE OF MATHEMATICSGALILEO 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 undergradsfor 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. • 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 Biocalculus Lab

  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

  19. The Cerebellum

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

  21. Hyperbolic Flat Map Monica Hurdal, Florida State University

  22. Spherical Map Monica Hurdal, Florida State University

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

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

  25. 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 Where can math help out? Joel Cohen, Rockefeller University

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

More Related