Models

This year, Cside has three biological models to work with; 1 Ordinary Differential Equation (ODE) system, 1 Partial Differential Equation (PDE) system and 1 Stochastic Differential Equation (SDE) system. You may choose to work with whichever model you prefer and you may also work with as many models as you like. Please see the individual sections for details.

  • Model 1 is an ODE system that describes cardiac excitation.
  • Model 2 is a PDE system that describes vessel stiffness in the pulmonary artery system.
  • Model 3 is an SDE system that describes cell migration as a response to chemotaxis.

 

Code, should competitors wish to use it, will be made available for each model in order to solve the system. Competitors should familiarise themselves with their chosen model/s and test their methods by generating their own synthetic data. This can be done by using the available code to solve the system for a given parameter set and then by adding additive white Gaussian noise to corrupt the produced signals, mimicking observational noise. The variance of the Gaussian noise should be chosen such that the Signal to Noise Ratio (SNR) for a signal is roughly 10.

The equation for the calculation of the signal to noise ratioCompetitors should then test their methods by inferring the parameters they used to generate the synthetic data.

Competition data will be generated in the same fashion, so this will be a good way for competitors to prepare ahead of receiving the competition data.

 

Any questions regarding the models can be sent to Benn.Macdonald@glasgow.ac.uk