Lecture 1.2: Introduction to modelling with differential equations (Owen) + associated quiz
Practical 1: CellDesigner / Analysis of single-variable models
Here is the SBML for the initial model PositiveFeedback.xml.
Additional example SBML files (see also the BioModels Database):
BIOMD0000000005.xml |
BIOMD0000000079.xml |
BIOMD0000000209_Chickarmane.xml |
MAPK.xml
Lecture 2.1: Building multi-variable models (Monk/Owen)
Lecture 2.2: Analysing multi-variable differential equation models (Monk/Owen)
Practical 2: Building and simulating multivariable models
This practical uses CellDesigner to build and simulating some multi-variable models, including the toggle switch, and a multicomponent negative feedback loop which oscillates when feedback is regulated by a dimer of transcription factors.
SBML files:
Toggle switch |
Negative feedback |
Negative feedback regulated by dimerisation |
Simplified Repressilator |
Full Repressilator model
Lecture 3.1: Parameter estimation and sensitivity analysis (Owen)
Practical 3.1: Parameter estimation and sensitivity analysis
This practical uses COPASI to fit the parameters of a simple positive feedback model.
COPASI files - one model file and four data files:
positivefeedback.cps |
positivefeedback_timecourse_ic1_i05.txt |
positivefeedback_timecourse_ic2_i05.txt |
positivefeedback_timecourse_ic1_i20.txt |
positivefeedback_timecourse_ic2_i20.txt
Lecture 3.2: Stochastic models (Monk)
Practical 3.2: Stochastic models
This practical uses COPASI to compare stochastic and deterministic simulations.
COPASI files - two model files:
constitutive.cps |
autoactivating.cps
Lecture 4.1: Spatial models - signalling, transport and growth (Monk)
Practical 4: Spatial models
MATLAB files - six model files:
expode.m |
simple_solver.m |
notch_ring.m |
notch_square.m |
diffusion_grad.m |
gierer_meinhardt.m
Lecture 4.2: Multiscale models and applications (Owen)