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Determination of parameter identifiability in nonlinear biophysical models: A Bayesian approach
Keegan E Hines1, Thomas R Middendorf, Richard W Aldrich
1Center for Learning and Memory and Department of Neuroscience, The University of Texas at Austin, Austin, TX 78712.
Many biophysical model parameters are not identifiable, meaning experiments cannot uniquely estimate their true values. We explore causes and present a Bayesian inference method to assess parameter reliability and confidence.
Area of Science:
- Biophysics
- Computational Biology
- Systems Biology
Background:
- Understanding biological molecules and systems relies on mechanistic models.
- Biophysical parameters are often estimated by fitting models to experimental data.
- Parameter non-identifiability occurs when multiple parameter sets explain data equally well.
Purpose of the Study:
- To demonstrate parameter non-identifiability in biophysical models.
- To investigate the causes of parameter non-identifiability.
- To present a reliable method for parameter estimation and confidence quantification.
Main Methods:
- Analysis of parameter identifiability in biophysical models.
- Investigation of causes for non-identifiability.
- Application of Bayesian inference for parameter reliability assessment.
Main Results:
- Parameter non-identifiability is a common issue, even in simple biophysical models.
- Straightforward methods exist for simple models, but more complex models require advanced tools.
- A Bayesian inference method reliably quantifies parameter confidence.
Conclusions:
- Parameter non-identifiability poses a significant challenge in biophysics.
- Careful model design and advanced inference methods are crucial for accurate parameter estimation.
- Bayesian inference offers a robust approach to establish the reliability of biophysical model parameters.
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