Results 31 to 40 of about 621,740 (291)

Addressing persistent challenges in digital image analysis of cancer tissue: resources developed from a hackathon

Molecular Oncology, EarlyView.
Large multidimensional digital images of cancer tissue are becoming prolific, but many challenges exist to automatically extract relevant information from them using computational tools. We describe publicly available resources that have been developed jointly by expert and non‐expert computational biologists working together during a virtual hackathon
Sandhya Prabhakaran, Clarence Yapp, Gregory J. Baker, Johanna Beyer, Young Hwan Chang, Allison L. Creason, Robert Krueger, Jeremy Muhlich, Nathan Heath Patterson, Kevin Sidak, Damir Sudar, Adam J. Taylor, Luke Ternes, Jakob Troidl, Xie Yubin, Artem Sokolov, Darren R. Tyson   +16 more
wiley   +1 more source

Some Properties and Graphical Applications of a New Subclass of Harmonic Functions Defined by a Differential Inequality

Mathematics
This paper establishes new results related to geometric function theory by presenting a new subclass of harmonic functions with complex values within the open unit disk, characterized by a second-order differential inequality.
Sibel Yalçın, Hasan Bayram, Georgia Irina Oros   +2 more
doaj   +1 more source

DONKIN'S DIFFERENTIAL OPERATORS FOR HOMOGENEOUS HARMONIC FUNCTIONS

St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019
The work continues the study of Donkin operators for homogeneous harmonic functions. Previously, a basic list of such first-order operators for three-dimensional harmonic functions was obtained.
Berdnikov Alexander, Gall Lidia, Gall Nikolaj, Solovyev Konstantin   +3 more
doaj   +1 more source

Asymptotically mean value harmonic functions in sub-Riemannian and RCD settings [PDF]

J. Geom. Anal. 33 (2023), no. 3, Article number 80, 2023
We consider weakly and strongly asymptotically mean value harmonic (amv-harmonic) functions on subriemannian and RCD settings. We demonstrate that, in non-collapsed RCD-spaces with vanishing metric measure boundary, Cheeger harmonic functions are weakly amv-harmonic and that, in Carnot groups, weak amv-harmonicity equivalently characterizes harmonicity
arxiv  

Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma

Molecular Oncology, EarlyView.
This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu, Jianchao Wang, Fuqing Chen, Xuefeng Wang, Bin Lan, Ruyi Fu, Hong Wen, Fangfang Chen, Wei Hong, Tian‐Yu Tang, Ying He, Gang Chen, Jianyin Zhou, Hai‐Long Piao, Di Chen, Shu‐Yong Lin   +15 more
wiley   +1 more source

Some Liouville Theorems on Finsler Manifolds

Mathematics, 2019
We give some Liouville type theorems of L p harmonic (resp. subharmonic, superharmonic) functions on a complete noncompact Finsler manifold.
Minqiu Wang, Songting Yin
doaj   +1 more source

On $L^p$ Liouville theorems for Dirichlet forms [PDF]

arXiv, 2021
We study harmonic functions for general Dirichlet forms. First we review consequences of Fukushima's ergodic theorem for the harmonic functions in the domain of the $ L^{p} $ generator. Secondly we prove analogues of Yau's and Karp's Liouville theorems for weakly harmonic functions. Both say that weakly harmonic functions which satisfy certain $ L^{p} $
arxiv  

ShcD adaptor protein drives invasion of triple negative breast cancer cells by aberrant activation of EGFR signaling

Molecular Oncology, EarlyView.
We identified adaptor protein ShcD as upregulated in triple‐negative breast cancer and found its expression to be correlated with reduced patient survival and increased invasion in cell models. Using a proteomic screen, we identified novel ShcD binding partners involved in EGFR signaling pathways.
Hayley R. Lau, Hayley S. Smith, Begüm Alural, Claire E. Martin, Laura A. New, Manali Tilak, Sara L. Banerjee, Hannah N. Robeson, Nicolas Bisson, Anne‐Claude Gingras, Jasmin Lalonde, Nina Jones   +11 more
wiley   +1 more source

Geometric properties of harmonic functions associated with the symmetric conjecture points and exponential function

AIMS Mathematics, 2020
In this paper, some classes of univalent harmonic functions are introduced by subordination, where the analytic parts of which are exponential starlike (or convex) functions with respect to the symmetric conjecture points.
Lina Ma, Shuhai Li, Huo Tang
doaj   +1 more source

Zum Verhältnis von Harmonik und Instrumentation ›vor Wagner‹ [PDF]

Zeitschrift der Gesellschaft für Musiktheorie, 2014
Bereits in Kompositionen aus der Mitte des 18. Jahrhunderts lassen sich Akkorde finden, deren harmonische Funktionen nicht allein durch Merkmale begründet werden, die in den Bereich tonaler Kategorien fallen (wie Akkordtyp, Stufenrelation, Beziehung auf ...
Michael Polth
doaj   +1 more source