Results 101 to 110 of about 3,674,543 (358)
A Recurrence Relation for the "inv" Analogue of q-Eulerian Polynomials
We study in the present work a recurrence relation, which has long been overlooked, for the $q$-Eulerian polynomial $A_n^{{\rm des},{\rm inv}}(t,q) =\sum_{\sigma\in\mathfrak{S}_n} t^{{\rm des}(\sigma)}q^{{\rm inv}(\sigma)}$, where ${\rm des}(\sigma)$ and
Chak-On Chow
semanticscholar +1 more source
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
Riordan Paths and Derangements
Riordan paths are Motzkin paths without horizontal steps on the x-axis. We establish a correspondence between Riordan paths and $(321,3\bar{1}42)$-avoiding derangements.
Eva Y. P. Deng+3 more
core +2 more sources
Loss of the frequently mutated chromatin remodeler ARID1A, a subunit of the SWI/SNF cBAF complex, results in less open chromatin, alternative splicing, and the failure to stop cells from progressing through the cell cycle after DNA damage in bladder (cancer) cells. Created in BioRender. Epigenetic regulators, such as the SWI/SNF complex, with important
Rebecca M. Schlösser+11 more
wiley +1 more source
Alectinib resistance in ALK+ NSCLC depends on treatment sequence and EML4‐ALK variants. Variant 1 exhibited off‐target resistance after first‐line treatment, while variant 3 and later lines favored on‐target mutations. Early resistance involved off‐target alterations, like MET and NF2, while on‐target mutations emerged with prolonged therapy.
Jie Hu+11 more
wiley +1 more source
Some new families of compositions based on big part restrictions [PDF]
Augustine O. Munagi, Mark Shattuck
doaj +1 more source
Generalized Horadam Polynomials and Numbers
We consider the polynomials hn,m(x) (m ≥ 2) and the numbers hn,m (x = 1), which are the generalized Horadam polynomials and the generalized Horadam numbers, respectively. We also consider the polynomials h(s)n,m(x)- convolutions of the polynomials hn,m(x)
Djordjevic Snezana S.+1 more
doaj +1 more source
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+14 more
wiley +1 more source
Data‐driven performance metrics for neural network learning
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri+2 more
wiley +1 more source