Feynman-Kac theorem in Hilbert spaces
Electronic Journal of Differential Equations, 2014 In this article we study the relationship between solutions to Cauchy problems for the abstract stochastic differential equation $dX(t)=AX(t)dt + BdW(t)$ and solutions to Cauchy problems (backward and forward) for the infinite dimensional ...
Irina V. Melnikova +1 more
doaj
Computer-Aided Design in Electromagnetics - the Case for Surface Impedance Boundary Conditions
Advances in Electrical and Computer Engineering, 2012 Surface impedance boundary conditions (SIBCs) have been successfully used for over 70 years in both analytical and numerical computation. With the need to model increasingly complex geometries and smaller artifacts, its importance in computer-aided ...
IDA, N., Di RIENZO, L., YUFEREV, S.
doaj +1 more source
Analysis of dead-core formation in catalytic reaction and diffusion processes with generalized diffusion flux. [PDF]
Sci Rep, 2022 Skrzypacz P +5 more
europepmc +1 more source
The McCance Brain Care Score and Mortality: Evidence From a Large‐Scale Population‐Based Cohort
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives This study aimed to examine the relationship between the McCance Brain Care Score (BCS) and mortality in the general population. Methods We conducted a prospective, population‐based cohort study using data from the UK Biobank. Participants with complete data enabling calculation of BCS and full mortality information were included ...
Zhiqiang Xu, Xiaoxiao Wang, Nan Li
wiley +1 more source
Logistic Growth Described by Birth-Death and Diffusion Processes
Mathematics, 2019 We consider the logistic growth model and analyze its relevant properties, such as the limits, the monotony, the concavity, the inflection point, the maximum specific growth rate, the lag time, and the threshold crossing time problem.
Antonio Di Crescenzo, Paola Paraggio
doaj +1 more source
The New Attempt at Modeling of the Three-Dimensional Geometry of the Epidermal Skin Layer and the Diffusion Processes of Nanomolecular Drug Carriers in Such Structures. [PDF]
Molecules, 2022 Błaszczyk MM, Sęk JP.
europepmc +1 more source
Association of Corticospinal Tract Asymmetry With Ambulatory Ability After Intracerebral Hemorrhage
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Ambulatory ability after intracerebral hemorrhage (ICH) is important to patients. We tested whether asymmetry between ipsi‐ and contra‐lesional corticospinal tracts (CSTs) assessed by diffusion tensor imaging (DTI) is associated with post‐ICH ambulation.
Yasmin N. Aziz +25 more
wiley +1 more source
Age‐Related Characteristics of SYT1‐Associated Neurodevelopmental Disorder
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives We describe the clinical manifestations and developmental abilities of individuals with SYT1‐associated neurodevelopmental disorder (Baker‐Gordon syndrome) from infancy to adulthood. We further describe the neuroradiological and electrophysiological characteristics of the condition at different ages, and explore the associations ...
Sam G. Norwitz +3 more
wiley +1 more source
A measure of centrality in cyclic diffusion processes: Walk-betweenness. [PDF]
PLoS One, 2021 Youm Y, Lee B, Kim J.
europepmc +1 more source
Functional Connectivity Linked to Cognitive Recovery After Minor Stroke
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Patients with minor stroke exhibit slowed processing speed and generalized alterations in functional connectivity involving frontoparietal cortex (FPC). The pattern of connectivity evolves over time. In this study, we examine the relationship of functional connectivity patterns to cognitive performance, to determine ...
Vrishab Commuri +7 more
wiley +1 more source