STAT 300 Model building

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# STAT 300 Model building - PowerPoint PPT Presentation

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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### STAT 300Model 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
• (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.
Software

Matlab

other ?

Plan
• PART I: Models for single populations and processes
• PART II: Modeling interactions
• PART III: Selected advanced topics
• 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 ?
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)

How do we elaborate models ?
• Hypotheses, principles of conservation, laws of physics, chemistry.
• Empirical observations
What is the benefit of using mathematical models ?
• Better understanding and verifying biological mechanisms
• Predicting future events
• Optimizing control and design actions
Computer simulation
• Setting a computer program that would mimic reality
• Deterministic and stochastic
• Easy, modeling = drawing block diagrams
What is specific in modeling in biology ?
• Complexity of modeled phenomena
• Extent of simplifications in the models
• Element of randomness
Research work in modeling
• Model building
• Model learning
• Model understanding
• Applying a model to data
• Model modification
Models
• Deterministic and stochastic
• Descriptive and mechanistic
• Dynamic and non-dynamic