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Random walks with long-range memory on networks.
Chaos
January 2025
Instituto de Física, Universidad Nacional Autónoma de México, Mexico City 04510, Mexico.
We study an exactly solvable random walk model with long-range memory on arbitrary networks. The walker performs unbiased random steps to nearest-neighbor nodes and intermittently resets to previously visited nodes in a preferential way such that the most visited nodes have proportionally a higher probability to be chosen for revisit. The occupation probability can be expressed as a sum over the eigenmodes of the standard random walk matrix of the network, where the amplitudes slowly decay as power-laws at large times, instead of exponentially.
View Article and Find Full Text PDFPrediction of cccDNA dynamics in hepatitis B patients by a combination of serum surrogate markers.
PLoS Comput Biol
January 2025
Department of Gastroenterology and Hepatology, Faculty of Life Sciences, Kumamoto University, Kumamoto, Japan.
Quantification of intrahepatic covalently closed circular DNA (cccDNA) is a key for evaluating an elimination of hepatitis B virus (HBV) in infected patients. However, quantifying cccDNA requires invasive methods such as a liver biopsy, which makes it impractical to access the dynamics of cccDNA in patients. Although HBV RNA and HBV core-related antigens (HBcrAg) have been proposed as surrogate markers for evaluating cccDNA activity, they do not necessarily estimate the amount of cccDNA.
View Article and Find Full Text PDFBiomarkers.
Alzheimers Dement
December 2024
Mark and Mary Stevens Neuroimaging and Informatics Institute, University of Southern California, Los Angeles, CA, USA.
Background: Reduced complexity of resting-state fMRI has been associated with mild cognitive impairment (MCI) and Alzheimer's diseases (AD) in cross-sectional cohorts. However, the trajectory of complexity in AD progression remains unknown. We conducted complexity analyses in a longitudinal AD dataset.
View Article and Find Full Text PDFBiomarkers.
Alzheimers Dement
December 2024
Columbia University Irving Medical Center, New York, NY, USA.
Background: Recent advancements in connectome analyses allow for more fine-grained measurements of brain network integrity. One measure of integrity is resilience, or the capacity of the network to retain functionality when confronted with endogenous or exogenous perturbations that result in damage or error. We assessed the impact of individual differences in the resilience of resting BOLD connectivity on the relationship between cognitive and brain changes in a lifespan cohort of cognitively healthy adults over a 5-year period.
View Article and Find Full Text PDFElectrophysiological Signatures of Alpha Coma.
J Clin Neurophysiol
January 2025
Department of Intensive Care, Neuro-Intensive Care Unit, University Hospital of Geneva, Geneva, Switzerland.
Purpose: Recent research on quantitative EEG in coma has proposed several metrics correlating with consciousness level. However, the heterogeneous nature of coma can challenge the generalizability of these measures. This study investigates alpha-coma, an electroclinical pattern characterized by a widespread, nonreactive alpha rhythm often linked to poor outcomes.
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