SMB/MAA MathFest San Jose 2007

1. Short Course: Implementing Biology Across the Mathematics Curriculum John R. Jungck International Union of Biological Sciences Society for Mathematical Biology BioQUEST Curriculum Consortium Beloit College SMB/MAA MathFestSan Jose 2007

2. The BioQUEST Curriculum Consortium is funded by HHMI, NSF, and EOT-PACI Howard Hughes Medical Institute, Division of Undergraduate Education, National Science Foundation, and Education Outreach and Training - Partnership for Advanced Computing Infrastructure Previous major funding: Annenberg Project/Corporation for Public Broadcasting Foundation for Microbiology Beloit College University of Chicago Center for Biology Education, University of Wisconsin - Madison Apple Computer Pew Midstates Science & Mathematics Consortium

4. Collaborative Mathematical Modeling Top-Down ODE’s PDE’s (Symbolic Algebra Packages) Engineering Control Nonlinear Feedback Hysteresis (Stella, Simul, Extend) Statistics Multivariate Resampling (bootstrapping, etc.) Bayesian Bottom-Up Cellular Automata Individual-Based Modeling Particle-Based Modeling

5. HHMI subcontract from Claudia Neuhauser, HHMI Fellow & Chair, Ecology & Evolution, College of Bioloogical Sciences, University of Minnesota

6. Mathematical biology education and a response to NRC’s Bio 2010 recommendations

8. National Research Council Bio 2010: Transforming Undergraduate Education for Future Research Biologists Recommendation #2: Concepts, examples, and techniques from mathematics, … should be included in biology courses. … Faculty in biology, mathematics, and physical sciences must work collaboratively to find ways of integrating mathematics … into life science courses … ISBN 0-309-08535-7 (2003) Recommendation #1: Those selecting the new approaches should consider the importance of mathematics,

9. Meeting the Challenges: Education Across the Biological, Mathematical, and Computer Sciences Sponsored by: • National Science Foundation • National Institute of General Medical Sciences • American Association for the Advancement of Science • Mathematical Association of America • American Society for Microbiology pub.nigms.nih.gov/challenges/ www.maa.org/mtc/

11. Mathematics in Biology CurriculaWHY? Lynn Arthur Steen, editor Math & Bio 2010: Linking Undergraduate Disciplines Mathematics Association of America (2005). RESPECT CONSISTENCY EMPOWERMENT

12. Raina RobevaSweet Briar College Probability and Statistics-based Models

13. Anton WeissteinTruman State University Biological ESTEEM: Linear Algebra, Population Genetics, and Microsoft Excel

14. Jennifer GalovichCollege of St. Benedict & St. John’s University Bioinformatics from an Applied Combinatorics Perspective

15. Renee FisterMurray State University OPTIMAL CONTROL THEORY IN BIOLOGY

16. Gretchen KochGoucher College Teaching Mathematics to Biologists and Biology to Mathematicians: Pharmacokinetic Modeling

17. BioGrapher (Graph Theory in Biology)

18. Julius JacksonMichigan State University Number Theory and Genomics

19. Holly GaffOld Dominion University Epidemiology And Modeling: The Basics of Infectious Disease Modeling

20. Two Challenges • (1) Deluge of data • (2) Working together, Working apart

21. Tsunami of Data Tsunami of DataTerrabytesPerDay

23. www.calacademy.org/.../ stories/horizons.html. Kathleen M. Wong. “Food Web Sandwich”

24. A more comprehensive yeast protein interaction network Deletion phenotype: Red = lethal Green = non-lethal Orange = slow growth Yellow = unknown • An example of a scale-free network • Most nodes have few connections • A small number of nodes (network hubs) are connected to a large number of other notes Source: Jeong H et al (2004) Nature 411:41-42

26. Working Together, Working Apart Participation: Not just PI’s Post-docs Graduate & Under- graduate students Technicians More democratic = Creativity, Innovation Less isolation & NIH Syndrome (Not In- vented Here)

28. Mayo Clinic Model Bioinfor-matics Bioinfor-matics Surgery Oncology Pathol-ogy Epidemi-ology Applied Mathematics

29. Working Together, Working Apart • Synergisms • Specializations provide expertise • Respecting difference • Tolerance

30. Why 2020?

31. Microsoft Science 2020 report

32. What mathematical reasoning should we expect biologists to develop?

33. The Challenges for 2020 STUDENTS Multivariate Multicausal Multidimensional Nonlinear Multi-scale Analyses of Complex Data

34. General biology texts: have less than 3 equations Rarely have quantitative data Graph complexity primarily linear No quantitative problems Biology education that uses calculus, discrete mathematics, & statistics Quantitative problem solving throughout Modeling top down, bottom up, nonlinear feedback Deal with complexity of terabytes of data per day Where are we now? Where do we need to go?

35. How close is 2020? Today’s kindergarden student will be in college in 2020 In other words, the student of tomorrow is already in school! Will biology education be as similar as 1994 was to 2007?

36. VIII. Conclusion “ For Yesterday is but a Dream And To-morrow only a Vision; But To-day well lived makes Every Yesterday a Dream of Happiness, And every Tomorrow, a Vision of Hope.” - Kalidasa Indian poet and philosopher

37. Staying with Tradition and Seeing ChangeAn Anthropologist’s Advice “… there are a good many more ways of getting it wrong than getting it right, and one of the most common ways of getting it wrong is through convincing ourselves that we have gotten it right …” - Clifford Geertz