Results 41 to 50 of about 283,081 (284)
On rational approximation in a ball in ℂN
International Journal of Mathematics and Mathematical Sciences, 2000 We study rational approximations of elements of a special class of meromorphic functions which are characterized by their holomorphic behavior near the origin in balls in ℂN by means of their rational approximants. We examine two modes of convergence for
P. W. Darko +2 more
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Molecular Oncology, EarlyView.Targeted therapy was evaluated in SHH medulloblastoma using neuroepithelial stem cell (NES) and tumor‐derived NES‐like (tNES) models in 2D monolayers and 3D spheroids. PI3K, AKT, and CDK4/6 inhibitors had minimal effects in NES but markedly reduced viability and growth and induced apoptosis in tNES cells, revealing distinct therapeutic vulnerabilities.
Monika Lukoseviciute +4 more
wiley +1 more source
General Approach to Function Approximation
MathematicsApplying a predefined set of functionals to a function provides a set of numbers which characterize the function. One can then interpret an approximation very generally as a construction of some function form which reproduces these numbers if the same ...
Andrej Liptaj
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Report on some recent advances in Diophantine approximation [PDF]
, 2009 A basic question of Diophantine approximation, which is the first issue we discuss, is to investigate the rational approximations to a single real number. Next, we consider the algebraic or polynomial approximations to a single complex number, as well as
Waldschmidt, Michel
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Molecular Oncology, EarlyView.In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera +11 more
wiley +1 more source
Addendum to “Rational Approximation”
Advances in Mathematics, 1977 Let \(f(z)=\sum_{k=0}^{\infty}a_kz^k,a_0> 0,a_k\geq 0(k\geq 1)\) be an entire function such that \(l< \lim\sup_{r\to\infty}\frac{\log\log M(r)}{\log\log r}=\rho+1< \infty\) and \(\lim\sup_{r\to\infty}(\inf)\quad(\log r)^{-\rho-1}\log M(r)=\alpha(\beta)\) where \(M(r)=\max_{\|z\|=r}\|f(z)\|\). The authors in Adv. Math.
Erdös, Paul, Reddy, A.R
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Hijacking emergency granulopoiesis: Neutrophil ontogeny and reprogramming in cancer
Molecular Oncology, EarlyView.Neutrophils are highly plastic innate immune cells; their functions in cancer extend beyond the tumour microenvironment. This Review summarises current understanding of neutrophil maturation and heterogeneity and highlights tumour‐induced granulopoiesis as a systemic programme that expands immature, immunosuppressive neutrophils via tumour‐derived ...
Gabriela Marinescu, Yi Feng
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MPQA method applied to the plasma dispersion function
AIP AdvancesA new approximation method for the plasma dispersion function Z(ζ) is presented. Multipoint quasi-rational approximation technique is used to find a bridge function that connects the power series and the asymptotic expansion of the function Z(ζ) using ...
E. Morales-Campaña, P. Martin
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Математичні СтудіїThe paper considers the problem of approximating Lauricella-Saran's hypergeometric functions $F_M(a_1,a_2,b_1,b_2;a_1,c_2;z_1,z_2,z_3)$ by rational functions, which are approximants of branched continued fraction expansions - a special family functions ...
R. Dmytryshyn, I. Nyzhnyk
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Molecular Oncology, EarlyView.Radiotherapy (RT) response depends on the DNA repair capacity of tumor and host cells. We show that circulating tumor cell (CTC) counts and apoptosis rates before and after RT predict treatment response and outcome, which can be accessed via easily accessible liquid biopsy approaches. Created in BioRender. Wikman, H.
Yvonne Goy +10 more
wiley +1 more source