This repository contains basic functions in MATLAB to enable to application of network control theory to complex systems.
Specifically, it contains 4 functions: (1) open_loop_control: This function simulates classic open loop control x_dot(t) = Ax(t) + Bu(t)
(2) optim_fun This function estimates optimal energy required to drive the system from a given initial to a given final state. Optimality is determined via constraints on distance and energy
(3) modal_controlability_continuous This calculates persistant and transient controllability for continuous systems.
(4) determinant_ratio This calculates the determinant ratio for a given network. This code returns a single measure for the network, thoughthe metric can be adapted as a regional measure
(5) get_traj This takes the output from open_loop_control and calculates similarity measures to a target state (correlation and Frobenius norm distance)
White Matter Network Architecture Guides Direct Electrical Stimulation through Optimal State Transitions
These are key functions needed to produce results for the above paper in Cell Reports (from journal, or from personal website)
- Jennifer Stiso
- Tommaso Menara