Results 81 to 90 of about 10,606 (255)

Developmental programmes drive cellular plasticity, disease progression and therapy resistance in lung adenocarcinoma

Molecular Oncology, EarlyView.
This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska, Stephany Gallardo, Nur S. Zainal, Leena Arora, Matthew Ellis, Maria‐Antoinette Lopez, Judith Austine, Sai Pittla, Serena J Chee, Aiman Alzetani, Emily C Shaw, Christian H Ottensmeier, Gareth J Thomas, Christopher J Hanley   +13 more
wiley   +1 more source

Sp(6, Z) modular symmetry in flavor structures: quark flavor models and Siegel modular forms for $$\widetilde{\Delta }\left(96\right)$$

Journal of High Energy Physics
We study an approach to construct Siegel modular forms from Sp(6, Z). Zero-mode wave functions on T 6 with magnetic flux background behave Siegel modular forms at the origin.
Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu, Shohei Takada, Hikaru Uchida   +4 more
doaj   +1 more source

ρ — Adic Analogues of Ramanujan Type Formulas for 1/π

Mathematics, 2013
Following Ramanujan’s work on modular equations and approximations of π, there are formulas for 1/π of the form [PLEASE CHECK FORMULA IN THE PDF] for d = 2, 3, 4, 6, where λd are singular values that correspond to elliptic curves with complex ...
Sarah Chisholm, Alyson Deines, Ling Long, Gabriele Nebe, Holly Swisher   +4 more
doaj   +1 more source

A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS

Forum of Mathematics, Sigma, 2020
We introduce a new family of real-analytic modular forms on the upper-half plane. They are arguably the simplest class of ‘mixed’ versions of modular forms of level one and are constructed out of real and imaginary parts of iterated integrals of ...
FRANCIS BROWN
doaj   +1 more source

MITF maintains genome stability in nonmelanocyte lineages

Molecular Oncology, EarlyView.
MITF is essential for melanocyte survival and acts as an oncogene in 10%–20% of melanomas. We show that MITF depletion causes genome instability in nonmelanocytic cells, leading to LATS2‐mediated P53 activation, cell cycle arrest, and apoptosis. This study highlights the role of MITF as a genome maintenance factor beyond the melanocyte lineage. Created
Drifa H. Gudmundsdottir, Adrián López García de Lomana, Thejus B. Venkatesh, Kritika Kirty, Snaevar Sigurdsson, Linda Vidarsdottir, Ramile Dilshat, Erla Sveinbjornsdottir, Snaedis Ragnarsdottir, Daniel H Magnusson, Maria R. Bustos, Eirikur Steingrimsson, Thorkell Gudjonsson, Stefan Sigurdsson   +13 more
wiley   +1 more source

On hermitian modular groups and modular forms

, 2019
In this doctoral thesis, we find that for $n=2$, the Hermitian modular group and other subgroups of the unitary group are isomorphic to suitable subgroups of the orthogonal group $O(2,4)$. The proof is completely explicit and we find a closed formula for
Wernz, Annalena Barbara Margit
core   +2 more sources

Non-holomorphic modular forms from zeta generators

Journal of High Energy Physics
We study non-holomorphic modular forms built from iterated integrals of holomorphic modular forms for SL(2, ℤ) known as equivariant iterated Eisenstein integrals.
Daniele Dorigoni, Mehregan Doroudiani, Joshua Drewitt, Martijn Hidding, Axel Kleinschmidt, Oliver Schlotterer, Leila Schneps, Bram Verbeek   +7 more
doaj   +1 more source

Patient therapy outcome modeling in cancer organoids is improved by cancer‐associated fibroblasts and organoid assembly convolution

Molecular Oncology, EarlyView.
Patient‐derived organoids (PDOs) from pancreatic, colorectal, and gastric cancers were used to evaluate standard and experimental therapies. Incorporating cancer‐associated fibroblasts (CAFs) into organoid cultures improved patient therapy outcome prediction.
Marcin Grochowski, Liudmyla Dolinchuk, Michał Jerzak, Albert Gandurski, Tomasz Grochowski, Weronika Wojtyś, Maciej Zadrożny, Wojciech Kaźmierczak, Małgorzata Lenarcik, Marta Matejak‐Górska, Radosław Samsel, Tomasz Olesiński, Dawid Walerych   +12 more
wiley   +1 more source

Computing classical modular forms

, 2021
We discuss practical and some theoretical aspects of computing a database of classical modular forms in the L-functions and Modular Forms Database (LMFDB).Comment: 63 pages; minor edits, including a correction to Conjecture 8.5.
David Roe, Bober, Jonathan, Bober, J., Costa, E., Sutherland, Andrew, Roe, D., John E. Cremona, John Voight, Lee, Min, Costa, Edgar, Best, A. J., Booker, Andrew R, Best, Alex, Bober, Jonathan W, Edgar Costa, Roe, David, Sutherland, A. V., Maarten Derickx, David Lowry-Duda, Best, Alex J., Andrew R. Booker, Voight, J., Cremona, John, Booker, A. R., Cremona, J. E., Voight, John, Alex J. Best, Booker, Andrew R., Lowry-Duda, David, Sutherland, Andrew V., Derickx, Maarten, Derickx, M., Andrew V. Sutherland, Lowry-Duda, D., Min Lee, Jonathan Bober, Lee, M.   +36 more
core   +1 more source

On Hilbert modular forms, II

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1982
Let \(A_{{\mathbb{Z}}}(\Gamma_ K)_ k\) be the \({\mathbb{Z}}\)-module of symmetric Hilbert modular forms of (integral) weight k with Fourier coefficients in \({\mathbb{Z}}\), \(A_{{\mathbb{Z}}}(\Gamma_ K):=\oplus_{r\geq 0}A_{{\mathbb{Z}}}(\Gamma_ K)_{2r}\) and \(A^ a_{{\mathbb{Z}}}(\Gamma_ K):=\oplus_{k\geq 0}A_{{\mathbb{Z}}}(\Gamma_ K)_ k\).
openaire   +4 more sources