Results 41 to 50 of about 95,973 (316)

A magnetic modular form

International Journal of Number Theory, 2019
In this paper, we prove a conjecture of Broadhurst and Zudilin concerning a divisibility property of the Fourier coefficients of a meromorphic modular form using the generalization of the Shimura lift by Borcherds and Hecke operators on vector-valued modular forms developed by Bruinier and Stein.
Michael Neururer, Yingkun Li
openaire   +3 more sources

Comparing self‐reported race and genetic ancestry for identifying potential differentially methylated sites in endometrial cancer: insights from African ancestry proportions using machine learning models

Molecular Oncology, EarlyView.
Integrating ancestry, differential methylation analysis, and machine learning, we identified robust epigenetic signature genes (ESGs) and Core‐ESGs in Black and White women with endometrial cancer. Core‐ESGs (namely APOBEC1 and PLEKHG5) methylation levels were significantly associated with survival, with tumors from high African ancestry (THA) showing ...
Huma Asif, J. Julie Kim
wiley   +1 more source

Modular Robotic Design and Reconfiguring Path Planning

Applied Sciences, 2022
The modular robot is becoming a prevalent research object in robots because of its unique configuration advantages and performance characteristics. It is possible to form robot configurations with different functions by reconfiguring functional modules ...
Ye Dai, Chao-Fang Xiang, Zhao-Xu Liu, Zhao-Long Li, Wen-Yin Qu, Qi-Hao Zhang   +5 more
doaj   +1 more source

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source

Chemoresistome mapping in individual breast cancer patients unravels diversity in dynamic transcriptional adaptation

Molecular Oncology, EarlyView.
This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani, Gilgi Friedlander, Gili Perry, Nora Balint‐Lahat, Shlomit Gilad, Dana Morzaev‐Sulzbach, Anjana Shenoy, Noa Bossel Ben‐Moshe, Anya Pavlovsky, Rinat Bernstein‐Molho, Eytan Domany, Iris Barshack, Tamar Geiger, Bella Kaufman, Einav Nili Gal‐Yam   +14 more
wiley   +1 more source

Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α,
Büyükkaya Abdurrahman, Öztürk Mahpeyker   +1 more
doaj   +1 more source

Examples of modular forms

Journal of Mathematical Analysis and Applications, 1974
The Fourier coefficients of certain automorphic forms are evaluated using a tensor product construction appearing in a formal proof of the Ramanujan hypothesis [ 11. Let r be the set of two-by-two matrices with integer entries and positive determinant. The modular group is the set of elements of I’ of determinant one. A subgroup of the modular group is
openaire   +2 more sources

Landscape of BRAF transcript variants in human cancer

Molecular Oncology, EarlyView.
We investigate the annotation of BRAF variants, focusing on protein‐coding BRAF‐220 (formerly BRAF‐reference) and BRAF‐204 (BRAF‐X1). The IsoWorm pipeline allows us to quantify these variants in human cancer, starting from RNA‐sequencing data. BRAF‐204 is more abundant than BRAF‐220 and impacts patient survival.
Maurizio S. Podda, Danilo Tatoni, Gianluca Mattei, Alberto Magi, Romina D'Aurizio, Laura Poliseno   +5 more
wiley   +1 more source

Convexity and boundedness relaxation for fixed point theorems in modular spaces

Applied General Topology, 2021
Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular ...
Fatemeh Lael, Samira Shabanian
doaj   +1 more source

Systematic profiling of cancer‐fibroblast interactions reveals drug combinations in ovarian cancer

Molecular Oncology, EarlyView.
Fibroblasts, cells in the tumor environment, support ovarian cancer cell growth and alter morphology and drug response. We used fibroblast and cancer cell co‐culture models to test 528 drugs and discovered new drugs for combination treatment. We showed that adding Vorinostat or Birinapant to standard chemotherapy may improve drug response, suggesting ...
Greta Gudoityte, Osheen Sharma, Laura Leuenberger, Emelie Wallin, Josefin Fernebro, Päivi Östling, Rebecka Bergström, Johan Lindberg, Ulrika Joneborg, Olli Kallioniemi, Brinton Seashore‐Ludlow   +10 more
wiley   +1 more source