Results 111 to 120 of about 3,579 (260)
On the diophantine equation Fn + Fm = 2a [PDF]
In this paper, we find all the solutions of the title Diophantine equation in positive integer variables (n, m, a), where Fk is the kth term of the Fibonacci sequence.
Luca, Florian, Bravo, Jhon J.
core
Loss of AMBRA1 activates MAPK and angiogenesis signaling pathways in melanoma cells
Loss of AMBRA1 in melanoma cells activates multiple oncogenic pathways associated with tumor progression. Transcriptomic and protein network analyses revealed that AMBRA1 depletion enhances MAPK/ERK signaling, angiogenesis, TGF‐β/EMT signaling, and Wnt/axon guidance pathways.
Milad Ibrahim +4 more
wiley +1 more source
Solving Problems with Bounds on Linear Forms in Logarithms
This expository paper explores the theory of linear forms in logarithms and its applications to Diophantine equations. We begin with foundational results on transcendental numbers, including Liouville's theorem and the Gelfond-Schneider theorem, before developing Baker's theory of linear forms in logarithms.
openaire +1 more source
MagmaFlow: A desktop platform for artificial intelligence‐driven expression analysis
MagmaFlow is a free, no‐code platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publication‐ready figures and reports for macOS and Windows ...
Carlos E. Buss +7 more
wiley +1 more source
Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments
Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
wiley +1 more source
Delivery of DNA‐encoded vaccines and proteins in mice using cutaneous suction‐mediated transfection
Cutaneous suction‐mediated transfection in mice for delivery of DNA‐encoded vaccines and proteins. A critical limitation of DNA vaccines and other therapeutics is transfection in vivo to produce the encoded antigens or therapeutic proteins. Cutaneous suction‐based methods have demonstrated effectiveness in many animal models and have been successfully ...
Emran O. Lallow +12 more
wiley +1 more source
An Explicit Bound for the Logarithmic Integral Derived via Linear Forms in Logarithms
This paper establishes an explicit conditional upper bound for the Eulerian logarithmic integral by bridging transcendental and analytic number theory. Specifically, we apply the Baker-Matveev method for linear forms in logarithms to a primorial-based Diophantine system.
openaire +3 more sources
Protocol for quantifying miRNA trafficking across the endosomal membrane
An in vitro protocol measures miRNA uptake into endosomes isolated from mammalian cell extracts, which are free of subcellular contaminants. Performed at 37 °C in the presence of ATP, it ensures the import of single‐stranded miRNA into the endosomal lumen.
Syamantak Ghosh +2 more
wiley +1 more source
This prospective study demonstrates that laparoscopic sphincter‐preserving surgery is feasible for elderly patients. While overall survival reaches 70% at 5 years, advanced T‐stage and the omission of neoadjuvant therapy significantly drive recurrence, highlighting the need for personalized geriatric protocols despite logistical challenges.
Huu Duc Ho +4 more
wiley +1 more source

