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In 2021, Mork and Ulness studied the Mandelbrot and Julia sets for a generalization of the well-explored function ηλ(z)=z2+λ. Their generalization was based on the composition of ηλ with the Möbius transformation μ(z)=1z at each iteration step ...
Pavel Trojovský, K Venkatachalam
doaj +1 more source
Semiconjugacies, pinched Cantor bouquets and hyperbolic orbifolds
Let f be a transcendental entire map that is subhyperbolic, i.e., the intersection of the Fatou set F(f) and the postsingular set P(f) is compact and the intersection of the Julia set J(f) and P(f) is finite.
Mihaljevic-Brandt, Helena
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B‐cell chronic lymphocytic leukemia (B‐CLL) and monoclonal B‐cell lymphocytosis (MBL) show altered proteomes and phosphoproteomes, analyzed using mass spectrometry, protein microarrays, and western blotting. Identifying 2970 proteins and 316 phosphoproteins, including 55 novel phosphopeptides, we reveal BCR and NF‐kβ/STAT3 signaling in disease ...
Paula Díez +17 more
wiley +1 more source
Quadratic dynamics over hyperbolic numbers: a brief survey [PDF]
Hyperbolic numbers, also called split complex or perplex numbers in the literature, are a variation of complex numbers established as a theory primarily by W. Clifford in the nineteenth century who applied them to mechanics.
Sandra Hayes
doaj
Analytical Study of the Julia Set of a Coupled Generalized Logistic Map
A coupled system of two generalized logistic maps is studied. In particular influence of the coupling to the behaviour of the Julia set in two dimensional complex space is analyzed both analytically and numerically.
Beardon A., Saito S., Saitoh N.
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Inhibition of CDK9 enhances AML cell death induced by combined venetoclax and azacitidine
The CDK9 inhibitor AZD4573 downregulates c‐MYC and MCL‐1 to induce death of cytarabine (AraC)‐resistant AML cells. This enhances VEN + AZA‐induced cell death significantly more than any combination of two of the three drugs in AraC‐resistant AML cells.
Shuangshuang Wu +18 more
wiley +1 more source
Commuting polynomials and polynomials with same Julia set
It has been known since Julia that polynomials commuting under composition have the same Julia set. More recently in the works of Baker and Eremenko, Fern\'andez, and Beardon, results were given on the converse question: When do two polynomials have the ...
Atela, Pau, Hu, Jun
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In over 50% of non‐metastatic breast cancer patients, circulating tumor cells (CTCs) along the whole epithelial‐mesenchymal transition spectrum are detected. Total CTC number and individual phenotypes relate to aggressive disease characteristics, including lymph node involvement and higher tumor proliferation. At the single‐cell level, mesenchymal CTCs
Justyna Topa +14 more
wiley +1 more source
Escape Criteria for Generating Fractals of Complex Functions Using DK-Iterative Scheme
Fractals are essential in representing the natural environment due to their important characteristic of self similarity. The dynamical behavior of fractals mostly depends on escape criteria using different iterative techniques.
Asifa Tassaddiq +4 more
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Workflow of a high‐throughput technology for epigenotyping of differentially methylated CpGs in specific regions of the genome. The protocol works with small amounts of DNA extracted from blood or semen. The protocol consists of both enzymatic conversion of unmethylated cytosines and capture by hybridization with a custom panel.
Nathalie Iannuccelli +4 more
wiley +1 more source

