Results 11 to 20 of about 2,719,872 (143)
Effectiveness of regional diffusion MRI measures in distinguishing multiple sclerosis abnormalities within the cervical spinal cord [PDF]
, 2021 Multiple sclerosis is an inflammatory disorder of the central nervous system. Quantitative MRI has huge potential to provide intrinsic and normative values of tissue properties useful for diagnosis, prognosis and ultimately clinical follow-up of this disease.
arxiv +1 more source
Reaction-diffusion systems derived from kinetic theory for Multiple Sclerosis [PDF]
, 2023 We present a mathematical study for the development of Multiple Sclerosis in which a spatio-temporal kinetic { theory} model describes, at the mesoscopic level, the dynamics of a high number of interacting agents. We consider both interactions among different populations of human cells and the motion of immune cells, stimulated by cytokines.
arxiv +1 more source
On a chemotaxis model with nonlinear diffusion modelling multiple sclerosis [PDF]
arXiv, 2023 We investigated existence of global weak solutions for a system of chemotaxis type with nonlinear degenerate diffusion, arising in modelling Multiple Sclerosis disease. The model consists of three equations describing the evolution of macrophages ($m$), cytokine ($c$) and apoptotic oligodendrocytes ($d$). The main novelty in our work is the presence of
arxiv
Classical large deviations theorems on complete Riemannian manifolds [PDF]
Stochastic Processes and their Applications, Volume 129, Issue 11,
November 2019, Pages 4294-4334, 2018 We generalize classical large deviations theorems to the setting of complete Riemannian manifolds. We prove the analogue of Mogulskii's theorem for geodesic random walks via a general approach using visocity solutions for Hamilton-Jacobi equations. As a corollary, we also obtain the analogue of Cram\'er's theorem. The approach also provides a new proof
arxiv +1 more source
A chemotaxis reaction-diffusion model for Multiple Sclerosis with Allee effect [PDF]
arXiv, 2023 In this paper, we study a modification of the mathematical model describing inflammation and demyelination patterns in the brain caused by Multiple Sclerosis proposed in [Lombardo et al. (2017), Journal of Mathematical Biology, 75, 373--417]. In particular, we hypothesize a minimal amount of macrophages to be able to start and sustain the inflammatory ...
arxiv
Reproducibility and Evolution of Diffusion MRI Measurements within the Cervical Spinal Cord in Multiple Sclerosis [PDF]
, 2021 In Multiple Sclerosis (MS), there is a large discrepancy between the clinical observations and how the pathology is exhibited on brain images, this is known as the clinical-radiological paradox (CRP). One of the hypotheses is that the clinical deficit may be more related to the spinal cord damage than the number or location of lesions in the brain ...
arxiv +1 more source
Longitudinal high-dimensional principal components analysis with application to diffusion tensor imaging of multiple sclerosis [PDF]
Annals of Applied Statistics 2014, Vol. 8, No. 4, 2175-2202, 2015 We develop a flexible framework for modeling high-dimensional imaging data observed longitudinally. The approach decomposes the observed variability of repeatedly measured high-dimensional observations into three additive components: a subject-specific imaging random intercept that quantifies the cross-sectional variability, a subject-specific imaging ...
arxiv +1 more source
The $A$-Polynomial and Knot Volume [PDF]
arXiv, 2021 In this paper, we conjecture a connection between the $A$-polynomial of a knot in $\mathbb{S}^{3}$ and the hyperbolic volume of its exterior $\mathcal{M}_{K}$ : the knots with zero hyperbolic volume are exactly the knots with an $A$-polynomial where every irreducible factor is the sum of two monomials in $L$ and $M$.
arxiv
Higher ventricular rate during atrial fibrillation relates to increased cerebral hypoperfusions and hypertensive events [PDF]
Scientific Reports, 9: 3779, 2019, 2019 Atrial fibrillation (AF) is associated with cognitive impairment/dementia, independently of clinical cerebrovascular events (stroke/TIA). One of the plausible mechanisms is the occurrence of AF-induced transient critical hemodynamic events; however, it is presently unknown, if ventricular response rate during AF may impact on cerebral hemodynamics.
arxiv +1 more source
Towards Abstract Wiener Model Spaces [PDF]
arXiv, 2023 Wiener spaces are in many ways the decisive setting for fundamental results on Gaussian measures: large deviations (Schilder), quasi-invariance (Cameron-Martin), differential calculus (Malliavin), support description (Stroock-Varadhan), concentration of measure (Fernique), ...
arxiv