Optimal design for inverse problems in biomedical engineering
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Description
Mathematical models in biomedical engineering often have a large number of unknown parameters. These parameters must be estimated through measurements acquired individually in each setup (patient or cell experiment). However, it is not always clear which measurements are most informative about the parameters and which parameters are most relevant to answer a given question. For this problem of 'optimal design', this project will develop a framework through recent developments in probabilistic analysis and information theory. The objectives are:
1. To develop an optimal design framework by quantifying the parameter information gain from the measurements.
2. Develop a technique for parsimonious representation of protocols in voltage-clamped experiments of cardiac cell electrophysiology.
3. Apply the optimal design framework to determine the best protocols for identification of individual cell parameters.
4. Extend the framework to 1D models of pulse wave haemodynamics for estimating individual patient arterial network parameters.
| Swansea University | LEAD_ORG |
| Sanjay Pant | SUPER_PER |
| Matthew Jennings | STUDENT_PER |
Subjects by relevance
- Parameters
- Modelling (creation related to information)
- Mathematical models
- Planning and design
- Measurement
Extracted key phrases
- Optimal design framework
- Individual cell parameter
- Individual patient arterial network parameter
- Parameter information gain
- Biomedical engineering
- Unknown parameter
- Mathematical model
- Inverse problem
- Cell experiment
- Cardiac cell electrophysiology
- 1d model
- Large number
- Good protocol
- Measurement
- Pulse wave haemodynamic