𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Applications of random field theory to functional connectivity

✍ Scribed by Keith J. Worsley; J. Cao; T. Paus; M. Petrides; A.C. Evans

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
184 KB
Volume
6
Category
Article
ISSN
1065-9471

No coin nor oath required. For personal study only.

✦ Synopsis

Functional connectivity between two voxels or regions of voxels can be measured by the correlation between voxel measurements from either PET CBF or BOLD fMRI images in 3D. We propose to look at the entire 6D matrix of correlations between all voxels and search for 6D local maxima. The main result is a new theoretical formula based on random field theory for the p-value of these local maxima, which distinguishes true correlations from background noise. This can be applied to crosscorrelations between two different sets of images--such as activations under two different tasks, as well as autocorrelations within the same set of images.

πŸ“œ SIMILAR VOLUMES

Application of the group function theory
Application of the group function theory to infinite systems
✍ L. N. Kantorovich πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 415 KB πŸ‘ 2 views

We consider application of the group function theory to an arbitrary infinite system consisting of weakly overlapping structural elements which may be atoms, ions, molecules, bonds, etc. We demonstrate that the arrow diagram (AD) expansion developed previously is ill-defined for such a system result

Limitations of density functional theory
Limitations of density functional theory in application to degenerate states
✍ Bersuker, Isaac B. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 238 KB πŸ‘ 2 views

It is shown that the claims that density functional theory DFT can handle orbitally degenerate states are ungrounded. The constraint search formulation of DFT allows one to determine a set of densities and eigenvalues for the degenerate term that, however, are neither observables, nor can they be us

Density-gradient analysis for density fu
Density-gradient analysis for density functional theory: Application to atoms
✍ AleΕ‘ Zupan; John P. Perdew; Kieron Burke; Mauro CausΓ  πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 281 KB πŸ‘ 1 views

We present an analysis of local or semilocal density functionals for the Ž exchange᎐correlation energy by decomposing them into their gradients r local Seitz s . Ž . Ž . radius , relative spin polarization , and s reduced density gradient . We explain the numerical method pertaining to this kind of