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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 300 model building

STAT 300Model building

Andrzej Polanski

Duncan Hall, Room 2091

http://www.stat.rice.edu/~mathbio/stat300

polanski@stat.rice.edu

textbook
Textbook

D. Brown, P. Rothery

Models in Biology: Mathematics, Statistics and Computing

Wiley, 1994

homework tests
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
Software

Matlab

Simulink

other ?

slide5
Plan
  • Introductory comments
  • PART I: Models for single populations and processes
  • PART II: Modeling interactions
  • PART III: Selected advanced topics
introductory comments
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 ?
what is mathematical modeling
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
How do we elaborate models ?
  • Hypotheses, principles of conservation, laws of physics, chemistry.
  • Empirical observations
what is the benefit of using mathematical models
What is the benefit of using mathematical models ?
  • Better understanding and verifying biological mechanisms
  • Predicting future events
  • Optimizing control and design actions
computer simulation
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
What is specific in modeling in biology ?
  • Complexity of modeled phenomena
  • Extent of simplifications in the models
  • Element of randomness
research work in modeling
Research work in modeling
  • Model building
  • Model learning
  • Model understanding
  • Applying a model to data
  • Model modification
models
Models
  • Deterministic and stochastic
  • Descriptive and mechanistic
  • Dynamic and non-dynamic