week |
Monday Lecture |
Wednesday Lecture |
Lab |
1 |
March 31: lecture 1: Introduction to Modeling
- Introduction to modeling
- Verification 1: model building
- Building biochemical reaction models
- Post final project
|
April 2 , lecture 2: ODE model building
- Model Building Tools: systems approach to linear electrical, mechanical, chemical and fluidic systems (Khoo chapter 2)
|
Lab 1:
|
2 |
April 7 , lecture 3: linear ODE solutions. (posted on canvas site)
- Transfer function representations
- Stability and steady state analysis.
- Verification
2: solutions
|
April 9 , lecture 4 linear ODE systems analysis. (posted on canvas site)
- State space representation
- Bifurcation and sensitivity analysis
- Lab 1 due
- Article Discussion 1: Maitani & Verification
|
Lab 2:
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3
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April 14 , lecture 5: Nonlinear Systems Analysis
- Nullclines and equilibrium points
- Jacobian: Linearization of nonlinear systems.
- Validation
- Answer questions about final project assignment.
|
April 16 , lecture 6 Nondimensionalization
- Bifurcation analysis in nonlinear systems
- Nondimensionalization
- Lab 2 due
- Article Discussion 2: Gardner & Validation
|
Lab 3:
- Nonlinear ODE Systems Analysis
|
4 |
April 21 , lecture 7 PDE model building (transport models)
- gradient, divergence, laplacian, flux
- boundary conditions
- steady state solutions and characteristic times
- diffusion example
|
April 23 , lecture 8 PDE solutions and analysis
- convection and reaction
- numerical solution methods
- Lab 3 due
- Discuss sample proposal (no article discussion due)
|
Lab 4:
- PDE Simulations
- optional: Introduction to COMSOL
|
5 |
April 28, lecture 9 Nondimensionalization for PDEs
- nondimensionalization
- Discuss project ideas
|
April 30, lecture 10 Transport Examples
- Lab 4 due
- Article discussion 3
- Project proposals due on Friday May 2
|
Lab 5:
|
6
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May 5, lecture 11. Stochastic Simulations Overview
- Review of probability distributions and statistics
- The MathWorld is a good reference for statistics.
- Discuss Project Proposals
|
May 7 , lecture 12. Brownian Dynamics (Diffusion; Langevan Equation, Wiener Process)
- Lab 5 due
- recommended reading: Higham 2001, pp. 525–533 ONLY.
- Article Discussion: Nitta
|
Lab 6
|
7 |
May 12 , lecture 13. Stochastic chemical reaction equations
- Gillespie Exact, Tau-leap method, Chemical Langevin Equation
- recommended reading: Higham 2007
- Final Project Teams Meet
|
May 14, lecture 14 Examples of Stochastic Reaction Equations
- lab 6 due
- Article Discussion: Artyomov
|
Lab 7
|
8 |
May 19, lecture 15. System Identification I
- Parameter estimation
- least squares
- measurement error and weighting schemes
- Milestone 1: Literature
|
May 21 , lecture 16. System Identification II
|
Lab 8
|
9
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May 26: MEMORIAL DAY
|
May 28, lecture 17. Validation vs Value added in Thomas Lab Modeling
- Lab 8 due
- Milestone 2: Verification and Validation
|
Lab 9:
|
10 |
June 2, Lecture 19. No Class!!
- milestone 4 moved to Wednesday.
|
June 4, Review
- Review of course
- Milestone 4: Value
|
Lab 10
- Milestone 5
- course evaluations
|
finals week |
- Final project due: Tuesday June 10, 5 pm
|
Oral project presentations: Wednesday, June 11, 2014,830-1020, BAG 261
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enjoy the summer!
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