This review focuses on spatial omics, covering the introduction and comparison of technology platforms, explanation and recommendation of algorithm ecology, demonstration of biological applications, and prospect of large models. It aims to help researchers in the interdisciplinary field of spatial omics quickly understand the current situation and ...
Haoxiu Wang +26 more
wiley +1 more source
Gram Decay and Intrinsic Dimensions of Krylov Subspaces
ABSTRACT Krylov subspace methods solve large sparse linear systems Ax=b$$ Ax=b $$ by building a sequence of polynomial approximations to A−1b$$ {A}^{-1}b $$ from successive matrix‐vector products. In finite precision, the number of numerically independent directions that can be extracted from this sequence is bounded by the intrinsic information ...
Stephen J. Thomas
wiley +1 more source
Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin +5 more
wiley +1 more source
Complex soliton wave patterns of Gross-Pitaevskii systems: application in quantum and optical engineering. [PDF]
Bilal M +5 more
europepmc +1 more source
From actin waves to mechanism and back: How theory aids biological understanding. [PDF]
Beta C +3 more
europepmc +1 more source
Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects. [PDF]
Hussein HH, Alexan W, Kandil SA.
europepmc +1 more source
Stress resilience-enhancing drugs preserve tissue structure and function in degenerating retina via phosphodiesterase inhibition. [PDF]
Luu JC +20 more
europepmc +1 more source
Fast automated adjoints for spectral PDE solvers. [PDF]
Skene CS, Burns KJ.
europepmc +1 more source
Deformations of acid-mediated invasive tumors in a model with Allee effect. [PDF]
Carter P +6 more
europepmc +1 more source
Stability selection enables robust learning of differential equations from limited noisy data. [PDF]
Maddu S +3 more
europepmc +1 more source

