Applications of random field theory to functional connectivity
نویسندگان
چکیده
منابع مشابه
Applications of random field theory to functional connectivity.
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, w...
متن کاملApplications of Random Eld Theory to Functional Connectivity Address of Corresponding Author
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 eld theory, for the p-value of these local maxima, t...
متن کاملApplications of subordination theory to starlike functions
Let $p$ be an analytic function defined on the open unit disc $mathbb{D}$ with $p(0)=1.$ The conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{C}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. Similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of Bernoulli $|w^{2}-1|=1$ ...
متن کاملAn Introduction to Random Field Theory
This chapter is an introduction to the multiple comparison problem in functional imaging, and the way it can be solved using Random field theory (RFT). In a standard functional imaging analysis, we fit a statistical model to the data, to give us model parameters. We then use the model parameters to look for an effect we are interested in, such as the difference between a task and baseline. To d...
متن کاملApplications of random matrix theory to analytic number theory
This research proposal concerns several projects at the interface of analytic number theory and random matrix theory. As such the proposal involves ideas from number theory, combinatorics, and analysis. The proposal is divided into two sections, related by the perhaps surprising use they make of combinatorial representation theory, but also by the following theme: both sections will study a spe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Human Brain Mapping
سال: 1998
ISSN: 1065-9471,1097-0193
DOI: 10.1002/(sici)1097-0193(1998)6:5/6<364::aid-hbm6>3.3.co;2-k