ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
Quantifying State-Dependent Control Properties of Brain Dynamics from Perturbation Responses. [PDF]
Shikauchi Y +5 more
europepmc +1 more source
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Structural covariance network alterations across the spectrum of cognitive status in Parkinson's disease. [PDF]
Shibata H +5 more
europepmc +1 more source
Differentiation of Plant and Animal‐Derived Cholesterol Using irm‐13C NMR and IRMS
Determining and certifying the origin of ingredients, starting materials, and excipients used in manufactured goods like cosmetics and medicines can be difficult. In this report, we describe a robust approach for identifying the origin of cholesterol, a component of myriad consumer products using irm‐13C NMR and IRMS to differentiate plant versus ...
Anika M. Singh +3 more
wiley +1 more source
Brain network centrality following stress in adults with major depressive disorder and childhood trauma. [PDF]
Broeder C +6 more
europepmc +1 more source
Dynamic Mode Decomposition (DMD) for Low‐Latency Real‐Time Cardiac MRI
ABSTRACT Purpose To demonstrate dynamic mode decomposition (DMD) for high spatiotemporal low‐latency online reconstruction in 2D real‐time cardiac MRI. Methods DMD was applied to 2D spiral balanced steady state free precession (bSSFP) real‐time adult and fetal cardiac MRI at 0.55 T, with data from 10 healthy adult volunteers (3F/7M; age: 21–49; BMI: 20–
Ecrin Yagiz +5 more
wiley +1 more source
Facies classification and channel detection for reservoir characterization using self-organizing maps in geologically complex Groningen gas field, the Netherlands. [PDF]
El-Attar S +3 more
europepmc +1 more source
ABSTRACT Purpose Increase clinical acceptance of MRE and DTI by shortening the scan time by half and providing diffusive and mechanical property maps that are inherently co‐registered. This proof‐of‐concept study evaluates the simultaneous DTI‐MRE acquisition in the human brain and compares its results to conventional DTI and MRE measurements.
Shujun Lin +4 more
wiley +1 more source
Untargeted plasma lipidomic profiling associated with pediatric metabolic dysfunction-associated steatohepatitis (MASH). [PDF]
Lim G +6 more
europepmc +1 more source

