Kuramoto Model of SCCwm-DBS

Kuramoto Modeling of SCCwm-DBS across uncinate circuit.

Introduction

The core modeling work win the Kuramoto approach of our uncinate circuit. Meant to be a very simple, DTI informed approach to modeling DBS mechanism and doing hypothesis testing in the context of human subject electrophysiology.

Prior work

A lot of this was directly enabled by work from Rohit Konda. Check out some of the earlier notebooks that the work in this repo is built off of here

Uncinate Circuit

Early version of the modeled uncinate circuit looked like:

Current version looks similar, with additional placeholder nodes for known connected regions - though no measurements are available in the "Reverse Engineering SCCwm-DBS" Project.

Hypotheses

$H_0:$ the null is simple - DBS does nothing to anything in the circuit. Any apparent changes are just noise. $H_1:$ the chronologically first hypothesis was that therapeutic DBS blocked communication between the frontal and temporal, via the uncinate fasciculus bilaterally. $H_2:$ a later hypothesis, more supported by tractography, is that the right cingulum bundle is modulated by DBS. $H_3+:$ other hypotheses can be constructed by combinations of all possibilities - these are less likely given other results and information.