Results 61 to 70 of about 3,889,100 (366)

Differential Geometry of Toda Systems

, 1993
In the present paper we give a differential geometry formulation of the basic dynamical principle of the group--algebraic approach \cite{LeS92} --- the grading condition --- in terms of some holomorphic distributions on flag manifolds associated with the
Razumov, A. V., Saveliev, M. V.
core   +1 more source

Closed, Two Dimensional Surface Dynamics

Frontiers in Physics, 2018
We present dynamic equations for two dimensional closed surfaces and analytically solve it for some simplified cases. We derive final equations for surface normal motions by two different ways. The solution of the equations of motions in normal direction
David V. Svintradze
doaj   +1 more source

TRPM8 levels determine tumor vulnerability to channel agonists

Molecular Oncology, EarlyView.
TRPM8 is a Ca2+ permissive channel. Regardless of the amount of its transcript, high levels of TRPM8 protein mark different tumors, including prostate, breast, colorectal, and lung carcinomas. Targeting TRPM8 with channel agonists stimulates inward calcium currents followed by emptying of cytosolic Ca2+ stores in cancer cells.
Alessandro Alaimo, Francesco Giuseppe Carbone, Kristi Buzo, Nicole Annesi, Sacha Genovesi, Annalisa Lorenzato, Karen Widmann, Michela Libergoli, Elisa Marmocchi, Giovanni Bertalot, Alberto Brolese, Mauro Giulio Papotti, Luca Molinaro, Orazio Caffo, Mattia Barbareschi, Alberto Bardelli, Alessandro Romanel, Sabrina Arena, Andrea Lunardi   +18 more
wiley   +1 more source

A primer on exterior differential calculus [PDF]

Theoretical and Applied Mechanics, 2003
A pedagogical application-oriented introduction to the cal­culus of exterior differential forms on differential manifolds is presented. Stokes' theorem, the Lie derivative, linear con­nections and their curvature, torsion and non-metricity are discussed.
Burton D.A.
doaj   +1 more source

Comprehensive omics‐based classification system in adult patients with B‐cell acute lymphoblastic leukemia

Molecular Oncology, EarlyView.
The COMBAT classification system, developed through multi‐omics integration, stratifies adult patients with B‐cell acute lymphoblastic leukemia(B‐ALL) into three molecular subtypes with distinct surface antigen patterns, immune landscape, methylation patterns, biological pathways and prognosis.
Yang Song, Ting Liu, Qishan Hao, Qiuyun Fang, Xiaoyuan Gong, Yan Li, Zheng Tian, Hui Wei, Min Wang, Jianxiang Wang, Tao Cheng, Yingchang Mi   +11 more
wiley   +1 more source

Feature Lines for Illustrating Medical Surface Models: Mathematical Background and Survey

, 2015
This paper provides a tutorial and survey for a specific kind of illustrative visualization technique: feature lines. We examine different feature line methods.
A. Chu, B. Preim, C. Hansen, D. DeCarlo, D. Eberly, D. Marr, E. Hameiri, E. Nadernejad, F. Ritter, J. Goldfeather, J. Zander, K. Hildebrandt, K. Hildebrandt, K. Lawonn, L. Zhang, L. Zhang, M. Burns, M.S. Floater, P. Alliez, P. Svetachov, S. Born, W. Kühnel, W.M. Jainek, X. Xie, Y. Ohtake   +24 more
core   +1 more source

Stability of an additive-quadratic functional equation in modular spaces

Open Mathematics
Using the direct method, we prove the Hyers-Ulam-Rassias stability of the following functional equation: ϕ(x+y,z+w)+ϕ(x−y,z−w)−2ϕ(x,z)−2ϕ(x,w)=0\phi \left(x+y,z+w)+\phi \left(x-y,z-w)-2\phi \left(x,z)-2\phi \left(x,w)=0 in ρ\rho -complete convex modular ...
Baza Abderrahman, Rossafi Mohamed, Park Choonkil, Donganont Mana   +3 more
doaj   +1 more source

Functional Segmentation for Preoperative Liver Resection Based on Hepatic Vascular Networks

IEEE Access, 2021
Successful liver resection relies on accurate estimation of future liver remnant volume (FLRV). According to Couinaud's scheme, a liver is composed of eight functionally independent segments, each of which has its own vascular in- and out-flow tracks ...
Doan Cong Le, Jirapa Chansangrat, Nattawut Keeratibharat, Paramate Horkaew   +3 more
doaj   +1 more source

Integrative miRNOMe profiling reveals the miR‐195‐5p–CHEK1 axis and its impact on luminal breast cancer outcomes

Molecular Oncology, EarlyView.
In luminal (ER+) breast carcinoma (BC), miRNA profiling identified miR‐195‐5p as a key regulator of proliferation that targets CHEK1, CDC25A, and CCNE1. High CHEK1 expression correlates with worse relapse‐free survival after chemotherapy, especially in patients with luminal A subtype.
Veronika Boušková, Marie Ehrlichová, Alžběta Spálenková, Ivona Krus, Simona Šůsová, Viktor Hlaváč, Vlasta Němcová, Renata Koževnikovová, Markéta Trnková, David Vrána, Jiří Gatěk, Kateřina Kopečková, Marcela Mrhalová, Soňa Měšťáková, Pavel Souček   +14 more
wiley   +1 more source

Bioengineering facets of the tumor microenvironment in 3D tumor models: insights into cellular, biophysical and biochemical interactions

FEBS Open Bio, EarlyView.
The tumor microenvironment is a dynamic, multifaceted complex system of interdependent cellular, biochemical, and biophysical components. Three‐dimensional in vitro models of the tumor microenvironment enable a better understanding of these interactions and their impact on cancer progression and therapeutic resistance.
Salma T. Rafik, Deniz Bakkalci, Alexander J. MacRobert, Umber Cheema   +3 more
wiley   +1 more source