Abstract The knowledge of the local slope field of prestack seismic data is essential in several seismic signal processing tasks. Building on our previous slope‐assisted, physics‐informed seismic interpolation framework, dubbed PINNslope, we introduce a series of enhancements that elevate the framework's versatility.
Francesco Brandolin+2 more
wiley +1 more source
Junction Conditions, Resolution of Singularities and Nonlinear Equations of Physics [PDF]
For large classes of systems of polynomial nonlinear PDEs necessary and sufficient conditions are given for the existence of solutions which are discontinuous across hyper-surfaces. These PDEs contain the Navier-Stokes equations, as well as those of General Relativity and Magneto-Hydrodynamics.
arxiv
ERNEST COST action overview on the (patho)physiology of GPCRs and orphan GPCRs in the nervous system
G protein‐coupled receptors (GPCRs) are a large family of cell surface receptors that play a critical role in nervous system function by transmitting signals between cells and their environment. They are involved in many, if not all, nervous system processes, and their dysfunction has been linked to various neurological disorders representing important
Necla Birgül Iyison+15 more
wiley +1 more source
A probabilistic representation for the solutions to some non-linear PDEs using pruned branching trees [PDF]
The solutions to a large class of semi-linear parabolic PDEs are given in terms of expectations of suitable functionals of a tree of branching particles. A sufficient, and in some cases necessary, condition is given for the integrability of the stochastic representation, using a companion scalar PDE.
arxiv
Monogenic Retinal Diseases Associated With Genes Encoding Phototransduction Proteins: A Review
ABSTRACT Phototransduction, the process by which captured photons elicit electrical changes in retinal rod and cone cells, represents the first neuronal step in vision and involves interactions between several highly specialised proteins. Pathogenic variants in genes encoding many of these proteins can give rise to significant vision impairment ...
Wendy M. Wong, Omar A. Mahroo
wiley +1 more source
Stochastic solutions of nonlinear PDE's and an extension of superprocesses [PDF]
Stochastic solutions provide new rigorous results for nonlinear PDE's and, through its local non-grid nature, are a natural tool for parallel computation. There are two different approaches for the construction of stochastic solutions: MacKean's and superprocesses.
arxiv
Mathematical Modeling and Analysis of PDE-Models for Semiconductor Devices
Arbeit an der Bibliothek noch nicht eingelangt - Daten nicht geprüft Abweichender Titel laut Übersetzung des Verfassers/der Verfasserin Karl-Franzens-Universität Graz, Dissertation ...
openaire
Targeted protein degradation of PDE4 shortforms by a novel proteolysis targeting chimera
Here, we report KTX207, a previously undescribed cereblon‐based PDE4 PROTAC that can specifically target PDE4D shortform for degradation. We showed that KTX207 could improve selectivity, potency and enable a long‐lasting effect when used at a sub‐nanomolar concentration.
Yuan Yan Sin+16 more
wiley +1 more source
Differential Invariants of Infinite-Dimensional Algebras That Are Equivalence Algebras of Classes of PDE [PDF]
We describe differential invariants of infinite-dimensional algebras being equivalence algebras of some classes of PDE and study structure of these algebras.
arxiv
The paper studies an unsteady equation with quadratic nonlinearity in second derivatives, that occurs in electron magnetohydrodynamics. In mathematics, such PDEs are referred to as parabolic Monge–Ampère equations.
A. Polyanin, Alexander V. Aksenov
semanticscholar +1 more source