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STAT 300 Model building

STAT 300 Model building. Andrzej Polanski Duncan Hall, Room 2091 http://www.stat.rice.edu/~mathbio/stat300 polanski@stat.rice.edu. Textbook. D. Brown, P. Rothery Models in Biology: Mathematics, Statistics and Computing Wiley, 1994. Homework, tests.

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STAT 300 Model building

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  1. STAT 300Model building Andrzej Polanski Duncan Hall, Room 2091 http://www.stat.rice.edu/~mathbio/stat300 polanski@stat.rice.edu

  2. Textbook D. Brown, P. Rothery Models in Biology: Mathematics, Statistics and Computing Wiley, 1994

  3. Homework, tests • (50% of the final score) Project work – every two weeks. Cooperation concerning understanding and discussing the material is encouraged. Some individual study and elaborating - testing simple computer programs, is expected. • (50% of the final score) 2 tests – one in the middle of the semester, one in the end of the semester. Closed book, one sheet of notes admissible, approximately 4 hours.

  4. Software Matlab Simulink other ?

  5. Plan • Introductory comments • PART I: Models for single populations and processes • PART II: Modeling interactions • PART III: Selected advanced topics

  6. Introductory comments • What is (mathematical) modeling ? • How do we derive (elaborate) models ? • What is the benefit of using mathematical models ? • What is computer simulation and what do we use it for ?

  7. What is (mathematical) modeling ? “ … a model is a peculiar blend of fact and fantasy, of truth, halftruth and falsehood. In some ways a model may be reliable, in other ways only helpful and at times and in respects thoroughly misleading…” (our textbook)

  8. How do we elaborate models ? • Hypotheses, principles of conservation, laws of physics, chemistry. • Empirical observations

  9. What is the benefit of using mathematical models ? • Better understanding and verifying biological mechanisms • Predicting future events • Optimizing control and design actions

  10. Computer simulation • Setting a computer program that would mimic reality • Deterministic and stochastic • Easy, modeling = drawing block diagrams

  11. What is specific in modeling in biology ? • Complexity of modeled phenomena • Extent of simplifications in the models • Element of randomness

  12. Research work in modeling • Model building • Model learning • Model understanding • Applying a model to data • Model modification

  13. Models • Deterministic and stochastic • Descriptive and mechanistic • Dynamic and non-dynamic

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