Results 71 to 80 of about 1,884,911 (319)
A Probabilistic Proof of the Multinomial Theorem
In this note, we give an alternate proof of the multinomial theorem using a probabilistic approach. Although the multinomial theorem is basically a combinatorial result, our proof may be simpler for a student familiar with only basic probability concepts.
Kataria, K. K.
core +1 more source
By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
wiley +1 more source
This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley +1 more source
Sampling with removal in LP-type problems
Random sampling is an important tool in optimization subject to finitely or infinitely many constraints. Here we are interested in obtaining solutions of low cost that violate only few constraints.
Bernd Gärtner
doaj +1 more source
Exchangeable pairs and Poisson approximation
This is a survey paper on Poisson approximation using Stein's method of exchangeable pairs. We illustrate using Poisson-binomial trials and many variations on three classical problems of combinatorial probability: the matching problem, the coupon ...
Chatterjee, Sourav +2 more
core +3 more sources
PICALM::MLLT10 translocated leukemia
This comprehensive review of PICALM::MLLT10 translocated acute leukemia provides an in‐depth review of the structure and function of CALM, AF10, and the fusion oncoprotein (1). The multifaceted molecular mechanisms of oncogenesis, including nucleocytoplasmic shuttling (2), epigenetic modifications (3), and disruption of endocytosis (4), are then ...
John M. Cullen +7 more
wiley +1 more source
This study explores salivary RNA for breast cancer (BC) diagnosis, prognosis, and follow‐up. High‐throughput RNA sequencing identified distinct salivary RNA signatures, including novel transcripts, that differentiate BC from healthy controls, characterize histological and molecular subtypes, and indicate lymph node involvement.
Nicholas Rajan +9 more
wiley +1 more source
In this paper, a new probability mechanism based particle swarm optimization (PMPSO) algorithm is proposed to solve combinatorial optimization problems.
Shuai Li +3 more
doaj +1 more source
经典组合优化问题的概率极限定理(Probability limit theorems of classical combinatorial optimization problems)
A review was given of the principal probability limit theorems of solutions to classical combinatorial optimization problems.The emphasis was on the travelling salesman problems,minimal spanning trees,matching and lengths of the longest increasing ...
SUZhong-gen(苏中根)
doaj +1 more source
Modeling hepatic fibrosis in TP53 knockout iPSC‐derived human liver organoids
This study developed iPSC‐derived human liver organoids with TP53 gene knockout to model human liver fibrosis. These organoids showed elevated myofibroblast activation, early disease markers, and advanced fibrotic hallmarks. The use of profibrotic differentiation medium further amplified the fibrotic signature seen in the organoids.
Mustafa Karabicici +8 more
wiley +1 more source

