smb/maa mathfest san jose 2007
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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 MathFest San Jose 2007. The BioQUEST Curriculum Consortium - PowerPoint PPT PresentationTRANSCRIPT
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http://chemlinks.beloit.edu
http://mc2.cchem.berkeley.edu
SMB/MAA SMB/MAA MathFestMathFest
San Jose 2007San Jose 2007
Short Course:Short Course:
Implementing BiologyImplementing Biology
Across the Mathematics Across the Mathematics CurriculumCurriculum
John R. JungckInternational Union of Biological Sciences
Society for Mathematical BiologyBioQUEST Curriculum Consortium
Beloit College
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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 BroadcastingAnnenberg 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
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Collaborative Mathematical ModelingCollaborative Mathematical ModelingTop-Down
ODE’s
PDE’s
(Symbolic Algebra Packages)
Bottom-UpCellular Automata
Individual-Based Modeling
Particle-Based Modeling
Engineering ControlNonlinear
Feedback
Hysteresis
(Stella, Simul, Extend)
StatisticsMultivariate
Resampling (bootstrapping, etc.)
Bayesian
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HHMI subcontract from Claudia Neuhauser,HHMI subcontract from Claudia Neuhauser,HHMI Fellow & Chair, Ecology & Evolution,HHMI Fellow & Chair, Ecology & Evolution,College of Bioloogical Sciences, University of MinnesotaCollege of Bioloogical Sciences, University of Minnesota
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Mathematical biology education and a response to NRC’sBio 2010 recommendations
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National Research Council
Bio 2010: Transforming UndergraduateEducation 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,
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Meeting the Challenges: Meeting the Challenges: Education Across the Biological, Mathematical, and Education Across the Biological, Mathematical, and
Computer SciencesComputer Sciences
Sponsored by:Sponsored by: National Science FoundationNational Science Foundation National Institute of General Medical National Institute of General Medical
SciencesSciences American Association for the American Association for the
Advancement of ScienceAdvancement of Science Mathematical Association of America Mathematical Association of America American Society for MicrobiologyAmerican Society for Microbiology
pub.nigms.nih.gov/challenges/pub.nigms.nih.gov/challenges/
www.maa.org/mtc/www.maa.org/mtc/
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Mathematics in Biology CurriculaMathematics in Biology Curricula
WHY?WHY?
RESPECTRESPECT
CONSISTENCYCONSISTENCY
EMPOWERMENTEMPOWERMENT
Lynn Arthur Steen, editorMath & Bio 2010: Linking Undergraduate Disciplines
Mathematics Association of America (2005).
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Raina RobevaRaina RobevaSweet Briar CollegeSweet Briar College
Probabilityand
Statistics-basedModels
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Anton WeissteinAnton WeissteinTruman State UniversityTruman State University
BiologicalESTEEM:Linear Algebra,PopulationGenetics, andMicrosoft Excel
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Jennifer GalovichJennifer GalovichCollege of St. Benedict & College of St. Benedict &
St. John’s UniversitySt. John’s University
Bioinformaticsfrom anApplied
CombinatoricsPerspective
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Renee FisterRenee FisterMurray State UniversityMurray State University
OPTIMAL CONTROLTHEORY
INBIOLOGY
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Gretchen KochGretchen KochGoucher CollegeGoucher College
Teaching Mathematics to Biologistsand
Biology to Mathematicians:Pharmacokinetic
Modeling
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BioGrapher (Graph Theory in Biology)BioGrapher (Graph Theory in Biology)
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Julius JacksonJulius JacksonMichigan State UniversityMichigan State University
Number Theoryand
Genomics
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Holly GaffHolly GaffOld Dominion UniversityOld Dominion University
EpidemiologyAnd
Modeling:
The Basics ofInfectiousDiseaseModeling
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Two ChallengesTwo Challenges
(1)(1) Deluge of dataDeluge of data
(2) Working together, (2) Working together, Working apartWorking apart
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Tsunami of DataTsunami of DataTsunami of DataTsunami of Data
TerrabytesTerrabytesPerPerDayDay
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www.calacademy.org/.../ stories/horizons.html. Kathleen M. Wong. “Food Web Sandwich”
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A more comprehensive yeast protein A more comprehensive yeast protein interaction networkinteraction network
Deletion phenotype:
Red = lethalRed = lethalGreen = non-lethalGreen = non-lethalOrange = slow growthOrange = slow growthYellow = unknownYellow = unknown
Source: Jeong H et al (2004) Nature 411:41-42
An example of a scale-An example of a scale-free networkfree network• Most nodes have few Most nodes have few
connectionsconnections• A small number of nodes A small number of nodes
(network hubs) are (network hubs) are connected to a large connected to a large number of other notesnumber of other notes
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Working Together, Working ApartWorking Together, Working ApartParticipation:
Not just PI’sPost-docsGraduate & Under-graduate studentsTechnicians
More democratic= Creativity, Innovation
Less isolation & NIHSyndrome (Not In-vented Here)
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Mayo Clinic ModelMayo Clinic Model
Bioinfor-maticsBioinfor-matics
Surgery Oncology
Pathol-ogy
Epidemi-ology
AppliedMathematics
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Working Together, Working ApartWorking Together, Working Apart
SynergismsSynergisms Specializations Specializations
provide expertiseprovide expertise
Respecting Respecting differencedifference
ToleranceTolerance
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Why 2020?Why 2020?
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Microsoft Science 2020 reportMicrosoft Science 2020 report
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What mathematical reasoning should What mathematical reasoning should we expect biologists to develop?we expect biologists to develop?
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The Challenges for 2020 The Challenges for 2020 STUDENTSSTUDENTS
MultivariateMultivariate
MulticausalMulticausal
MultidimensionalMultidimensional
NonlinearNonlinear
Multi-scaleMulti-scale
Analyses of Complex DataAnalyses of Complex Data
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Where are we now? Where do we need to go?Where are we now? Where do we need to go?
General biology texts:General biology texts: have less than 3 have less than 3
equationsequations Rarely have Rarely have
quantitative dataquantitative data Graph complexity Graph complexity
primarily linearprimarily linear No quantitative No quantitative
problems problems
Biology education that Biology education that uses calculus, discrete uses calculus, discrete mathematics, & statisticsmathematics, & statistics
Quantitative problem Quantitative problem solving throughoutsolving throughout
Modeling top down, Modeling top down, bottom up, nonlinear bottom up, nonlinear feedbackfeedback
Deal with complexity of Deal with complexity of terabytes of data per day terabytes of data per day
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How close is 2020?How close is 2020?
Today’s kindergarden student will Today’s kindergarden student will be in college in 2020be in college in 2020
In other words, the student of In other words, the student of tomorrow is already in school!tomorrow is already in school!
Will biology education be as Will biology education be as similar as 1994 was to 2007? similar as 1994 was to 2007?
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“ “ For Yesterday is but a DreamFor Yesterday is but a Dream
And To-morrow only a Vision;And To-morrow only a Vision;
But To-day well lived makes But To-day well lived makes
Every Yesterday a Dream of Happiness,Every Yesterday a Dream of Happiness,
And every Tomorrow, a And every Tomorrow, a VisionVision of Hope.” of Hope.”
- Kalidasa- KalidasaIndian poet and philosopherIndian poet and philosopher
VIII. Conclusion
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Staying with Tradition and Seeing ChangeStaying with Tradition and Seeing Change
An Anthropologist’s AdviceAn Anthropologist’s Advice
“… “… there are a good many more there are a good many more ways of getting it wrong than ways of getting it wrong than getting it right, and one of the getting it right, and one of the most common ways of getting it most common ways of getting it wrong is through convincing wrong is through convincing ourselves that we have gotten it ourselves that we have gotten it right …”right …”
- Clifford Geertz- Clifford Geertz