US 12,417,617 B2
Entropy field decomposition for analysis in a dynamic system
Lawrence R. Frank, San Diego, CA (US); and Vitaly L. Galinsky, San Diego, CA (US)
Assigned to THE REGENTS OF THE UNIVERSITY OF CALIFORNIA, Oakland, CA (US)
Filed by THE REGENTS OF THE UNIVERSITY OF CALIFORNIA, Oakland, CA (US)
Filed on Mar. 14, 2024, as Appl. No. 18/605,307.
Application 18/605,307 is a division of application No. 17/163,481, filed on Jan. 31, 2021, granted, now 11,941,866.
Application 17/163,481 is a continuation of application No. 15/570,603, granted, now 10,909,414, issued on Feb. 2, 2021, previously published as PCT/US2016/030446, filed on May 2, 2016.
Claims priority of provisional application 62/155,404, filed on Apr. 30, 2015.
Prior Publication US 2024/0257500 A1, Aug. 1, 2024
Int. Cl. G06V 10/77 (2022.01); A61B 5/00 (2006.01); A61B 5/055 (2006.01); G01R 33/56 (2006.01); G06F 18/2135 (2023.01); G06F 18/2413 (2023.01); G06T 7/00 (2017.01); G01R 33/48 (2006.01); G01R 33/563 (2006.01)
CPC G06V 10/7715 (2022.01) [A61B 5/00 (2013.01); A61B 5/055 (2013.01); G01R 33/5608 (2013.01); G06F 18/2135 (2023.01); G06F 18/24133 (2023.01); G06T 7/0012 (2013.01); G01R 33/4806 (2013.01); G01R 33/56341 (2013.01); G06F 2218/12 (2023.01); G06T 7/0016 (2013.01); G06T 2207/10044 (2013.01); G06T 2207/10081 (2013.01); G06T 2207/10088 (2013.01); G06T 2207/20048 (2013.01); G06T 2207/30016 (2013.01)] 20 Claims
OG exemplary drawing
 
1. A method for determining connectivity within a dynamic system represented by complex spatio-temporal data, the method comprising:
receiving in a computer processor signal data associated with the dynamic system, wherein the signal data comprises temporal variations in a plurality of voxels; and
causing the computer processor to perform the steps of:
generating a coupling matrix by ranking optimal paths between voxels according to path entropy;
determining entropy spectrum pathway (ESP) eigenvalues and eigenvectors for the coupling matrix;
constructing an information Hamiltonian using the ESP eigenvalues and eigenvectors, wherein the information Hamiltonian includes a diagonal matrix of ESP eigenvalues and interaction terms constructed with the ESP eigenvalues and eigenvectors;
estimating mode amplitudes corresponding to spatially and temporally interacting modes of the information Hamiltonian; and
generating an output comprising a display of the mode amplitudes, wherein the mode amplitudes correspond to space and time localization patterns indicative of connectivity within the dynamic system.