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Chapter 14: Model Selection and Optimisation

Chapter 14: Model Selection and Optimisation

pp. 431-465

Authors

, University of Edinburgh, , University of Stirling, , Psymetrix Limited, , Norwegian University of Life Sciences (NMBU), , University of Edinburgh
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Extract

Modelling a neural system involves the selection of the mathematical form of the model’s components, such as neurons, synapses and ion channels, plus assigning values to the model’s parameters. This may involve matching to the known biology, fitting a suitable function to data or computational simplicity. Only a few parameter values may be available through existing experimental measurements or computational models. It will then be necessary to estimate parameters from experimental data or through optimisation of model output. Here we outline the many mathematical techniques available. We discuss how to specify suitable criteria against which a model can be optimised. For many models, ranges of parameter values may provide equally good outcomes against performance criteria. Exploring the parameter space can lead to valuable insights into how particular model components contribute to particular patterns of neuronal activity. It is important to establish the sensitivity of the model to particular parameter values.

Keywords

  • model selection
  • parameter estimation
  • passive parameters
  • optimisation
  • parameter sensitivity analysis
  • uncertainty quantification
  • probabilistic model selection and estimation

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