Results 71 to 80 of about 308,640 (313)

Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the corresponding reduced Hamiltonian dynamics. Several examples illustrate the
David Iglesias, Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez, Edith Padrón   +4 more
doaj  

Cell‐cycle‐specific lesion evolution rather than inhibition of double‐strand‐break repair underpins cisplatin radiosensitization

Molecular Oncology, EarlyView.
We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu, Xixi Lin, Emil Mladenov, Veronika Mladenova, Jürgen Thomale, Ali Sak, Yao Wang, Yunxuan Deng, Eleni Gkika, Martin Stuschke, George Iliakis   +10 more
wiley   +1 more source

Random Action of Compact Lie Groups and Minimax Estimation of a Mean Pattern [PDF]

, 2011
This paper considers the problem of estimating a mean pattern in the setting of Grenander's pattern theory. Shape variability in a dataset of curves or images is modeled by the random action of elements in a compact Lie group on an infinite dimensional ...
Gadat, Sébastien, Bigot, Jérémie, Christophe, Claire, Claire, Christophe   +3 more
core   +1 more source

The dynamic of a Lie group endomorphism

Open Mathematics, 2017
For a given endomorphism φ on a connected Lie group G this paper studies several subgroups of G that are intrinsically connected with the dynamic behavior of φ.
Ayala Víctor, Román-Flores Heriberto, Da Silva Adriano   +2 more
doaj   +1 more source

A modification of Hardy-Littlewood maximal function on Lie groups [PDF]

AUT Journal of Mathematics and Computing
For a real-valued function $f$ on a metric measure space $(X,d,\mu)$ the Hardy-Littlewood centered-ball maximal-function of $f$ is given by the `supremum-norm':$$Mf(x):=\sup_{r>0}\frac{1}{\mu(\mathcal{B}_{x,r})}\int_{\mathcal{B}_{x,r}}|f|d\mu.$$In this ...
Maysam Maysami Sadr
doaj   +1 more source

Interpreting the effects of DNA polymerase variants at the structural level

Molecular Oncology, EarlyView.
Using MAVISp and molecular dynamics simulations, we analyzed over 60 000 missense variants in POLE and POLD1 from ClinVar, COSMIC, cBioPortal, and saturation mutagenesis. Identified mechanistic indicators, including stability, binding, and long‐range, enable structural interpretation, providing ACMG‐like evidence for possible reclassification of VUS ...
Matteo Arnaudi, Karolina Krzesińska, Ludovica Beltrame, Pablo Sánchez‐Izquierdo Besora, Matteo Tiberti, Mef Nilbert, Anna Rohlin, Elena Papaleo   +7 more
wiley   +1 more source

Heisenberg-Lie commutation relations in Banach algebras. [PDF]

, 2009
Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob, Silvestrov, Sergei D.   +1 more
core  

Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]

, 2006
We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J, Kraft, Hanspeter, Kraft, H., Kuttler, J., Kuttler, Jochen, Kraft, H, Draisma, J., Draisma, J Jan, Draisma, Jan   +8 more
core   +1 more source

Differential Galois Theory and Hopf Algebras for Lie Pseudogroups

Axioms
According to a clever but rarely quoted or acknowledged work of E. Vessiot that won the prize of the Académie des Sciences in 1904, “Differential Galois Theory” (DGT) has mainly to do with the study of “Principal Homogeneous Spaces” (PHSs) for finite ...
Jean-Francois Pommaret
doaj   +1 more source

Stimulator of interferon genes agonist augmented antitumor immunity of osimertinib in Egfr‐mutated lung cancer

Molecular Oncology, EarlyView.
Combining osimertinib with the STING agonist ADU‐S100 activates innate and adaptive immunity to overcome the non‐inflamed microenvironment of Egfr‐mutant lung cancer. This combination increases NK and CD8+ T‐cell infiltration, associated with activation of the STING‐IRF3 pathway and local immunogenic cell death.
Jun Nishimura, Tadahiro Kuribayashi, Johannes Brägelmann, Sachi Okawa, Masataka Taoka, Shunta Mori, Tomoka Nishimura, Takaaki Tanaka, Go Makimoto, Kiichiro Ninomiya, Kammei Rai, Eiki Ichihara, Ryohei Katayama, Katsuyuki Hotta, Masahiro Tabata, Yosuke Togashi, Yoshinobu Maeda, Martin L. Sos, Katsuyuki Kiura, Kadoaki Ohashi   +19 more
wiley   +1 more source