Oikos, Volume 2025, Issue 12, December 2025.Self‐organised pattern formation creates heterogeneous growth conditions in spatially extended ecosystems and can support local functional diversity in metacommunities – sets of communities linked by dispersal. However, the mechanisms connecting emergent heterogeneity on the metacommunity scale and diversity on the local scale, and how they depend on ...
Louica Philipp +2 more
wiley +1 more source
Cell lineage tracing: Methods, applications, and challenges
Quantitative Biology, Volume 13, Issue 4, December 2025.Abstract Cell lineage tracing is a crucial technique for understanding cell fate and lineage relationships, with wide applications in developmental biology, tissue regeneration, and disease progression studies. Over the years, experimental cell lineage tracing methods have advanced from early labeling techniques to modern genetic tools such as CRISPR ...
Shanjun Mao +5 more
wiley +1 more source
Existence Results for $\aleph$-Caputo Fractional Boundary Value Problems with $p$-Laplacian Operator
Journal of New TheoryThis study delves into the investigation of positive solutions for a specific class of $\aleph$-Caputo fractional boundary value problems with the inclusion of the p-Laplacian operator. In this research, we use the theory of the fixed point theory within
Özlem Batit Özen
doaj +1 more source
Solutions to the nonlinear Schrödinger systems involving the fractional Laplacian. [PDF]
J Inequal Appl, 2018 Qu M, Yang L.
europepmc +1 more source
On simple eigenvalues of the fractional Laplacian under removal of small fractional capacity sets [PDF]
, 2019 Laura Abatangelo +2 more
openalex +1 more source
Solvability for the ψ-Caputo-Type Fractional Differential System with the Generalized p-Laplacian Operator [PDF]
, 2023 Yankai Li +3 more
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Quantitative Biology, Volume 13, Issue 4, December 2025.Abstract Recent advancements in spatial transcriptomics (ST) technologies allow researchers to simultaneously measure RNA expression levels for hundreds to thousands of genes while preserving spatial information within tissues, providing critical insights into spatial gene expression patterns, tissue organization, and gene functionality.
Catherine Higgins +2 more
wiley +1 more source
Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity
Electronic Research ArchiveWe construct the global existence for a wave equation involving the fractional Laplacian with a logarithmic nonlinear source by using the Galerkin approximations.
Bidi Younes +4 more
doaj +1 more source
Stability of nonlinear Dirichlet BVPs governed by fractional Laplacian. [PDF]
ScientificWorldJournal, 2014 Bors D.
europepmc +1 more source
On the periodic boundary value problem for Duffing type fractional differential equation with p-Laplacian operator [PDF]
, 2015 Hua Jin, Wenbin Liu
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