Results 31 to 40 of about 362 (139)
On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
Integrable Evolution Partial Differential Equations: Multidimensions and Dirichlet-to-Neumann Maps
This thesis is about integrable Partial Differential Equations (PDEs). Here "integrable" means that the given PDE or system of PDEs can be written as the compatibility condition of a set of linear equations, the so-called Lax pair, and can be solved via ...
core +1 more source
Coexistence, crossover and extirpation in coalescent communities and ecotones
When two ecological communities come into contact, the strength of their mixing determines whether species coexist, extirpate, or extend their ranges. We present analytical formulas and simulations describing these transitions. Specifically, we derive abundance shifts upon community coalescence, identify the critical mixing strength leading to first ...
Martin Heidelman, Dervis Can Vural
wiley +1 more source
This review elucidates the photophysical mechanisms of cellulose‐based room temperature phosphorescent materials and systematically outlines their construction strategies, such as cluster emission center engineering. This article demonstrates their applications in fields like information encryption and bioimaging, and looks ahead to the core challenges
Shasha Wu +10 more
wiley +1 more source
What Causes Geographic Variation in Drug Prescribing? Evidence from Physician Migration
ABSTRACT In this article, we examine the importance of individual physicians in explaining the significant variation in prescription drug spending in Medicare Part D. By tracking prescribing behavior before and after physician relocations, we find that movers' prescribing converges toward the average of their new location.
David Beheshti, Seth Neller
wiley +1 more source
Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]
Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
core +1 more source
Probabilistic analysis of a class of impulsive linear random differential equations forced by stochastic processes admitting Karhunen-Loève expansions [PDF]
[EN] We study a full randomization of the complete linear differential equation subject to an infinite train of Dirac's delta functions applied at different time instants. The initial condition and coefficients of the differential equation are assumed to
Villanueva Micó, Rafael Jacinto +3 more
core +1 more source
Abstract figure legend Schematic overview of the experimental and computational framework for investigating hiPSC‐CM electrophysiology with MEA systems. The MEA‐based model integrates experimental data with phenotype‐specific ionic models and tissue‐level heterogeneity.
Sofia Botti +2 more
wiley +1 more source
Utility of local capillary supply indices: Insights from computational image‐based modelling
Abstract figure legend Local capillary distribution and fibre geometry influence oxygen availability in skeletal muscle. Image‐based modelling of tissue PO2${{P}_{{{{\mathrm{O}}}_2}}}$ shows that area‐based measures of capillary supply – the local capillary density (LCDi) and local maximum diffusion distance (Dmax,i) – most accurately represent the ...
Abdullah A. Al‐Shammari +6 more
wiley +1 more source
ABSTRACT Alzheimer's disease (AD) is a debilitating neurodegenerative condition characterized by progressive cognitive impairment, memory deterioration, and neuronal dysfunction. Its complex pathophysiology involves multiple interlinked processes, including amyloid‐β (Aβ) aggregation, tau hyperphosphorylation, oxidative stress, neuroinflammation ...
Amandeep Thakur +6 more
wiley +1 more source

