Results 81 to 90 of about 334,844 (263)
Pattern Formation in Predator-Prey Model with Delay and Cross Diffusion
Abstract and Applied Analysis, 2013 We consider the effect of time delay and cross diffusion on the dynamics of a modified Leslie-Gower predator-prey model incorporating a prey refuge.
Xinze Lian, Shuling Yan, Hailing Wang
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown +6 more
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Cross-diffusion induced Turing and non-Turing patterns in Rosenzweig–MacArthur model
Letters in Biomathematics, 2019 Pattern formation is widely studied in spatio-temporal prey– predator models with only self-diffusion terms. Models with cross-diffusion, besides self-diffusion, take care of the situation in which presence, absence, abundance or scarcity of one species ...
Nayana Mukherjee +2 more
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Mathematics, 2019 Diffusion has long been known to induce pattern formation in predator prey systems. For certain prey-predator interaction systems, self diffusion conditions ceases to induce patterns, i.e., a non-constant positive solution does not exist, as seen from ...
Nitu Kumari, Nishith Mohan
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Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz +3 more
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Multidimensional Profiling of MRI‐Negative Temporal Lobe Epilepsy Uncovers Distinct Phenotypes
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Although hippocampal sclerosis (TLE‐HS) represents the most frequent cause of temporal lobe epilepsy (TLE), up to 30% of patients show no lesion on visual MRI inspection (TLE‐MRIneg). These cases pose diagnostic and therapeutic challenges and are underrepresented in surgical series.
Alice Ballerini +28 more
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Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure
Journal of Applied Mathematics, 2012 In this paper, we consider a cross-diffusion predator-prey model with sex structure. We prove that cross-diffusion can destabilize a uniform positive equilibrium which is stable for the ODE system and for the weakly coupled reaction-diffusion system.
Shengmao Fu, Lina Zhang
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Analytical model for time-dependent chloride diffusion in circular section concrete
Shuili Shuiyun Gongcheng Xuebao, 2019 In order to overcome the shortcomings of the traditional analytical model of constant diffusion which can not consider the time-varying characteristics of chloride diffusion coefficient, a time-dependent analytical model for the chloride diffusion in ...
WANG Jialiang, YANG Lufeng, YU Bo
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Rapid Multicomponent Alloy Solidification with Allowance for the Local Nonequilibrium and Cross-Diffusion Effects. [PDF]
Materials (Basel), 2023 Sobolev SL, Tokmachev MG, Kolobov YR.
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Diffusion vs Cross-Diffusion: An Elliptic Approach
Journal of Differential Equations, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lou, Yuan, Ni, Wei-Ming
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