Results 41 to 50 of about 123,704 (291)

Travelling-wave analysis of a model describing tissue degradation by bacteria

, 2007
We study travelling-wave solutions for a reaction-diffusion system arising as a model for host-tissue degradation by bacteria. This system consists of a parabolic equation coupled with an ordinary differential equation.
Hilhorst, Danielle, King, John R., Röger, Matthias   +2 more
core   +1 more source

Five‐Year Disease Progression in Synuclein Seeding Positive Sporadic Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To provide a comprehensive description of disease progression in synuclein seeding assay (SAA) positive sporadic Parkinson Disease participants, using Neuronal Synuclein Disease integrated biological and functional impairment staging framework.
Paulina Gonzalez‐Latapi, Caroline Gochanour, Seung Ho Choi, Hyunkeun Cho, Chelsea Caspell‐Garcia, Christopher Coffey, Michael Brumm, David‐Erick Lafontant, Yuge Xiao, Thomas Tropea, John Seibyl, Caroline Tanner, Charles S. Venuto, Karl Kieburtz, Lana M. Chahine, Kathleen L. Poston, Andrew Siderowf, Kenneth Marek, Tanya Simuni, The Parkinson's Progression Markers Initiative   +19 more
wiley   +1 more source

Study of explicit travelling wave solutions of nonlinear evolution equations

Partial Differential Equations in Applied Mathematics, 2023
The Bernoulli Sub-ODE approach is used in this study to look for comprehensive travelling wave solutions to the nonlinear evolution equations (NLEEs). The analysis in the present paper shows the existence of travelling waves for the time-regularized long-
Kamruzzaman Khan, M. Ali Akbar
doaj   +1 more source

A note on travelling-wave solutions to Lax's seventh-order KdV equation [PDF]

, 2009
Ganji and Abdollahzadeh [D.D. Ganji, M. Abdollahzadeh, Appl. Math. Comput.206 (2008) 438{444] derived three supposedly new travelling-wave solutions to Lax's seventh-order KdV equation. Each solution was obtained by a different method.
Parkes, E.J.
core   +2 more sources

Ketogenic Diet as an Epigenetic Therapy in SETD1B‐Related Epilepsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Histone lysine methyltransferases such as SETD1B regulate chromatin structure and gene transcription. Ketone bodies, including butyrate, act as histone deacetylase inhibitors. We report a 4‐year‐old boy with SETD1B‐related absence epilepsy, refractory to conventional medications, who achieved sustained > 90% seizure reduction on the Modified ...
Erica Tsang, Brian S. Gloss, Jessica P. Hayes, Andrew J. A. Holland, Manoj P. Menezes, Joceline A. Branson, Shekeeb S. Mohammad, Jingya J. Yan, Shrujna Patel, Velda X. Han, Russell C. Dale   +10 more
wiley   +1 more source

Asymptotic Behavior of Traveling Wave Solutions to Reaction-Diffusion Equations [PDF]

, 2015
We will discuss travelling wave solutions to reaction-diffusion equations of the form: ut=uxx+ up (1-uq) which can be used as a mathematical model for various biological phenomena, as well as to model problems in combustion theory. We identify conditions
Nason, Malley M.
core   +1 more source

Aquaporin‐4 in Narcolepsy Type 1: Investigation of Perivascular Fluid Movement in Sleep Disorders

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Narcolepsy type 1 (NT1) is caused by the loss of hypocretin‐1 leading to excessive daytime sleepiness and cataplexy. Additionally, disrupted nighttime sleep has become an increasingly recognized feature of NT1. As the glymphatic fluid movement has been linked to sleep architecture, we investigated cerebrospinal fluid (CSF) Aquaporin‐4 (AQP4 ...
Jonas Ranke, Petra Steinacker, Steffen Halbgebauer, Patrick Oeckl, Geert Mayer, Markus Otto   +5 more
wiley   +1 more source

Study of Solutions for a Degenerate Reaction Equation with a High Order Operator and Advection

Mathematics, 2022
The goal of the present study is to characterize solutions under a travelling wave formulation to a degenerate Fisher-KPP problem. With the degenerate problem, we refer to the following: a heterogeneous diffusion that is formulated with a high order ...
José Luis Díaz Palencia, Julián Roa González, Almudena Sánchez Sánchez   +2 more
doaj   +1 more source

Sensitisation waves in a bidomain fire-diffuse-fire model of intracellular Ca²⁺ dynamics [PDF]

, 2009
We present a bidomain threshold model of intracellular calcium (Ca²⁺) dynamics in which, as suggested by recent experiments, the cytosolic threshold for Ca²⁺ liberation is modulated by the Ca²⁺ concentration in the releasing compartment.
Alberts, Allbritton, Berridge, Berridge, Berridge, Berridge, Bootman, Bootman, Carafoli, Cheng, Coombes, Coombes, Coombes, Dawson, Dobrev, Evans, Falcke, Falcke, Falcke, G.D. Smith, Gin, Guatimosim, Györke, Györke, Hardingham, Hille, Idris, Keizer, Keller, Kholodenko, Launikonis, Laver, Lechleiter, Lewis, Li, Machaca, McCarron, Mironova, Niggli, Olveczky, Pearson, Putney, R. Thul, S. Coombes, Seger, Shannon, Shuai, Sienaert, Smith, Sun, Swietach, Thul, Timofeeva, Trefethen, Tsai, Wagner, Whitaker, Wu   +57 more
core   +2 more sources

Anti‐CD19 CAR T Cells in Autoimmune Encephalitis: Inflammation Controlled, Neurodegeneration Unchecked?

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Just recently, successful chimeric antigen receptor (CAR) T cell therapy was reported in the first patient with refractory, anti‐diacylglycerol lipase alpha (DAGLA) antibody‐mediated autoimmune encephalitis, achieving partial clinical remission.
Dimitrios Mougiakakos, Marwa Al‐Dubai, Denise Walther, Dominic Borie, Jan D. Lünemann, Marc Pawlitzki, Sven G. Meuth, Solveig Henneicke, Stefan Vielhaber, Stefanie Schreiber   +9 more
wiley   +1 more source