Graph theoretical measures have frequently been used to study disrupted connectivity in Alzheimer's disease human brain connectomes. However, prior studies have noted that differences in graph creation methods are confounding factors that may alter the topological observations found in these measures. In this study, we conduct a novel investigation regarding the effect of parcellation scale on graph theoretical measures computed for fiber density networks derived from diffusion tensor imaging. We computed 4 network-wide graph theoretical measures of average clustering coefficient, transitivity, characteristic path length, and global efficiency, and we tested whether these measures are able to consistently identify group differences among healthy control (HC), mild cognitive impairment (MCI), and AD groups in the Alzheimer's Disease Neuroimaging Initiative (ADNI) cohort across 5 scales of the Lausanne parcellation. We found that the segregative measure of transtivity offered the greatest consistency across scales in distinguishing between healthy and diseased groups, while the other measures were impacted by the selection of scale to varying degrees. Global efficiency was the second most consistent measure that we tested, where the measure could distinguish between HC and MCI in all 5 scales and between HC and AD in 3 out of 5 scales. Characteristic path length was highly sensitive to the variation in scale, corroborating previous findings, and could not identify group differences in many of the scales. Average clustering coefficient was also greatly impacted by scale, as it consistently failed to identify group differences in the higher resolution parcellations. From these results, we conclude that many graph theoretical measures are sensitive to the selection of parcellation scale, and further development in methodology is needed to offer a more robust characterization of AD's relationship with disrupted connectivity.
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http://dx.doi.org/10.1109/bibm55620.2022.9995657 | DOI Listing |
PLoS One
December 2024
Tandy School of Computer Science, The University of Tulsa, Tulsa, OK, United States of America.
In this manuscript, we present a novel mathematical model for understanding the dynamics of HIV/AIDS and analyzing optimal control strategies. To capture the disease dynamics, we propose a new Caputo-Fabrizio fractional-order mathematical model denoted as SEIEUPIATR, where the exposed class is subdivided into two categories: exposed-identified EI and exposed-unidentified EU individuals. Exposed-identified individuals become aware of the disease within three days, while exposed-unidentified individuals remain unaware for more than three days.
View Article and Find Full Text PDFPLoS One
December 2024
Department of Mathematics, College of Science, Taibah University, Al-Madinah, Al-Munawarah, Saudi Arabia.
In this paper, the unified approach is used in acquiring some new results to the coupled Maccari system (MS) in Itô sense with multiplicative noise. The MS is a nonlinear model used in hydrodynamics, plasma physics, and nonlinear optics to represent isolated waves in a restricted region. We provide new results with complicated structures to this model, including hyperbolic, trigonometric and rational function solutions.
View Article and Find Full Text PDFNetw Neurosci
December 2024
Department of Psychology and Neuroscience, Auckland University of Technology, Auckland, New Zealand.
Connectomes' topological organization can be quantified using graph theory. Here, we investigated brain networks in higher dimensional spaces defined by up to 10 graph theoretic nodal properties. These properties assign a score to nodes, reflecting their meaning in the network.
View Article and Find Full Text PDFNetw Neurosci
December 2024
Laufer Center for Physical and Quantitative Biology, Stony Brook University, Stony Brook, NY, USA.
The integration-segregation framework is a popular first step to understand brain dynamics because it simplifies brain dynamics into two states based on global versus local signaling patterns. However, there is no consensus for how to best define the two states. Here, we map integration and segregation to order and disorder states from the Ising model in physics to calculate state probabilities, and , from functional MRI data.
View Article and Find Full Text PDFJ Mol Graph Model
December 2024
Department of computer Engineering, College of Computer Science, King Khalid University, Main Campus, Al farah Abha, 61421, Kingdom of Saudi Arabia.
The DFT was employed to assess the ion-storage capability of an irida-graphene monolayer (IGM) in Mg-ion batteries (MIBs). The IGM had a mechanically stable structure. The IGM also exhibited great conductance based on the DOS calculations.
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