Results 81 to 90 of about 330,116 (279)
Global and blow up solutions to cross diffusion systems
Necessary and sufficient conditions for global existence of classical solutions to a class of cross diffusion systems on n-dimensional domains are given. Examples of blow up solutions are also presented.
Ahmad Shair, Le Dung
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Patterns of Postictal Abnormalities in Relation to Status Epilepticus in Adults
ABSTRACT Objective Abnormalities on peri‐ictal diffusion‐weighted magnetic resonance imaging (DWI‐PMAs) are well‐established for patients with status epilepticus (SE), but knowledge on patterns of DWI‐PMAs and their prognostic impact is sparse. Methods This systematic review and individual participant data meta‐analysis included observational studies ...
Andrea Enerstad Bolle +11 more
wiley +1 more source
Whole‐Body Pattern of Muscle Degeneration and Progression in Sarcoglycanopathies
ABSTRACT Objective To characterize whole‐body intramuscular fat distribution pattern in patients with sarcoglycanopathies and explore correlations with disease severity, duration and age at onset. Methods Retrospective, cross‐sectional, multicentric study enrolling patients with variants in one of the four sarcoglycan genes who underwent whole‐body ...
Laura Costa‐Comellas +39 more
wiley +1 more source
ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu +14 more
wiley +1 more source
Global Behavior of Solutions in a Predator-Prey Cross-Diffusion Model with Cannibalism
The global asymptotic behavior of solutions in a cross-diffusive predator-prey model with cannibalism is studied in this paper. Firstly, the local stability of nonnegative equilibria for the weakly coupled reaction-diffusion model and strongly coupled ...
Meijun Chen, Shengmao Fu, Xiaoli Yang
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ABSTRACT Introduction Spinal cord infarction (SCI) is a rare but devastating myelopathy, characterized by a high disability rate and an unfavorable prognosis. It has often been underdiagnosed and misdiagnosed as idiopathic transverse myelitis (ITM). This study aimed to describe the clinical features, radiological biomarkers, treatments, and functional ...
Zeqiang Ji +13 more
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Spatio-temporal behaviour of SIR models with cross-diffusion and vital dynamics
Contemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements.
Maryam Ahmadpoortorkamani +1 more
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Meningovascular Inflammation in Cerebral Amyloid Angiopathy‐Related Cortical Superficial Siderosis
ABSTRACT The role of inflammation in cortical superficial siderosis (cSS), a marker of cerebral amyloid angiopathy (CAA) linked to high hemorrhage risk, is unclear. We examined 15 patients with cSS using 3 T post‐contrast vessel wall MRI (VWI) and CSF analysis.
Philipp Arndt +8 more
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Renormalized and entropy solutions of nonlinear parabolic systems
In this article, we study the existence of renormalized and entropy solutions of SIR epidemic disease cross-diffusion model with Dirichlet boundary conditions.
Lingeshwaran Shangerganesh +1 more
doaj
A Self-Similar Analysis of the Solutions to the Cross-Diffusion System
We study the qualitative behaviour of weak solutions to a doubly nonlinear cross-diffusion system in an inhomogeneous medium with nonlinear boundary flux. The main novelty of the paper lies in the analysis of a cross-diffusive p-Laplacian system weighted
Abdinabi Mukhamadiyev +4 more
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