Tools for designing optimal flip angle schemes for hyperpolarized carbon-13 magnetic resonance spectroscopy.
The Flip Angle Design Toolbox provides a framework for specifying a linear differential equation model
dx/dt = A x(t) + B u(t)
to describe magnetization dynamics and tools for maximum likelihood and least-squares estimation of unknown model parameters. Toolbox also provides routines to generate optimal flip angle schemes for design objectives including:
- maximizing signal-to-noise ratio
- and providing minimum-variance estimates of model parameters.
The MATLAB script DEMO.m provides a demonstration of the toolbox's capabilities. The main functionalities are:
- a class linear_exchange_model for specifying a model of the magnetization dynamics
- a function generate_data for computing simulated observation trajectories generated by the model
- a function optimal_flip_angle_design for computing optimal flip angle schemes
- a function parameter_estimation for computing maximum likelihood or least-squares estimates of unknown model parameters.
This toolbox requires that the following MATLAB toolboxes are installed:
- Optimization Toolbox
- Symbolic Math Toolbox
Technique described in: