Results 51 to 60 of about 4,649,717 (295)

Modeling Progressive Brain Volume Losses in Chronic Moderate Severe Traumatic Brain Injury: Extensive, but Attenuating

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Progressive brain atrophy has now been widely observed in the chronic stages of moderate–severe traumatic brain injury (msTBI), but there is only coarse information regarding its prevalence and magnitude, and whether rate of atrophy accelerates or attenuates across time. We examined these questions in a Canadian inception cohort from
Robin E. A. Green, Brenda Colella, Alana Changoor, David J. Mikulis, Adrienne Li, Kadeen Johns, Georges A. Monette   +6 more
wiley   +1 more source

On the relations between some well-known methods and the projective Riccati equations

Open Physics, 2020
Solving nonlinear evolution equations is an important issue in the mathematical and physical sciences. Therefore, traditional methods, such as the method of characteristics, are used to solve nonlinear partial differential equations. A general method for
Akçağıl Şamil
doaj   +1 more source

Utility of the APE2 Score as a Diagnostic Tool for Autoimmune Encephalitis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To retrospectively evaluate the diagnostic performance of the Antibody Prevalence in Epilepsy and Encephalopathy (APE2) score relative to clinician‐adjudicated autoimmune encephalitis (AE) and the Graus criteria in a tertiary neuroimmunology referral cohort, including antibody‐negative AE.
Bijoya Basu, Sophia F. Damman, Samhitha M. Rai, Hesham Abboud   +3 more
wiley   +1 more source

Optimal solution of nonlinear equations [PDF]

, 1985
journal articleWe survey recent worst case complexity results for the solution of nonlinear equations. Notes on worst and average case analysis of iterative algorithms and a bibliography of the subject are also ...
Optimal solution; Nonlinear equations, Sikorski, Kris   +1 more
core  

Automatic Lesion Morphometrics Reliably Predict Sensorimotor Recovery After Spinal Cord Injury: A Longitudinal, Multicenter Neuroimaging Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To evaluate automatic magnetic resonance imaging (MRI)‐derived lesion morphometrics against manual measurements and their prognostic value for characterizing distinct acute to chronic neurological recovery trajectories after spinal cord injury (SCI). Methods We studied a retrospective, multicenter cohort of cervical and thoracolumbar
Dario Pfyffer, Jan Valošek, Lynn Farner, Enamundram Naga Karthik, Gergely David, Norbert Weidner, Rainer Abel, Doris Maier, Armin Curt, Margret Hund‐Georgiadis, Mirko Aach, Michael Baumberger, Julien Cohen‐Adad, Patrick Freund, the Nogo Inhibition in Spinal Cord Injury Study Group, Rainer Abel, Kerstin Rehahn, Mirko Aach, Klaus Röhl, Norbert Weidner, Marion Saur, Nikolaus Weiskopf, Doris Maier, Andreas Badke, Margret Hund‐Georgiadis, Michael Baumberger, Armin Curt, Jesus Benito‐Penalva, Jiri Kriz   +28 more
wiley   +1 more source

Flow invariance for perturbed nonlinear evolution equations

Abstract and Applied Analysis, 1996
Let X be a real Banach space, J=[0,a]⊂R, A:D(A)⊂X→2X\ϕ an m-accretive operator and f:J×X→X continuous. In this paper we obtain necessary and sufficient conditions for weak positive invariance (also called viability) of closed sets K⊂X for the evolution ...
Dieter Bothe
doaj   +1 more source

Development of a Disease Activity Index for the Assessment of VEXAS Syndrome (VEXAS‐DAI)

Arthritis Care &Research, EarlyView.
Objective Vacuoles, E1 enzyme, X‐linked, autoinflammatory, somatic syndrome (VEXAS) syndrome is characterized by a complex spectrum of inflammatory and hematologic manifestations. Clinical research to identify effective therapies is urgently needed but is hindered by the lack of validated outcome measures.
Kevin Byram, Heřman Mann, Danielle Hammond, Onima Chowdhury, Sinisa Savic, Yohei Kirino, Carmelo Gurnari, Maël Heiblig, Thibault Comont, Arsène Mekinian, Mrinal M. Patnaik, Lachelle D. Weeks, Gary Ho, Adam Al‐Hakim, Scott Goldberg, Marcela A. Ferrada, Sophie Georgin‐Lavialle, Peter C. Grayson, Emma M. Groarke, Bhavisha Patel, Megan Sullivan, Sarah A. Buckley, Bryan G. Harder, Raman Garcha, David B. Beck, Matthew J. Koster   +25 more
wiley   +1 more source

Multi-order fractional nonlinear evolution equations system

Partial Differential Equations in Applied Mathematics
In this paper, the existence and uniqueness of a solution to a multi-order fractional nonlinear evolution equations system are studied by applying Banach’s Fixed Point Theorem and some properties of solution operators associated with the system.
Bambang Hendriya Guswanto, Suroto, Najmah Istikaanah   +2 more
doaj   +1 more source

On the existence of equations of evolution

International Journal of Mathematics and Mathematical Sciences, 1984
A time-independent, non-autonomous non-linear system governed by a principle of determinism (the state at a given time is determined by the initial state and by the control history during the intervening closed interval) is shown to obey a generalized ...
J. Lubliner
doaj   +1 more source

A New Integrable Nonlinear Evolution Equation [PDF]

Progress of Theoretical Physics, 1980
Summary: We show that a new integrable nonlinear evolution equation \(iq_ t+(q/\sqrt{1+| q| ^ 2})_ {xx}=0\) is solved exactly by the inverse scattering method. From the Gelfand-Levitan equation, a one-soliton solution is obtained. It is found that a one-soliton solution has two interesting limits, a small amplitude soliton and a bursting soliton.
Shimizu, Toru, Wadati, Miki
openaire   +2 more sources