Results 31 to 40 of about 3,362 (237)

Estimating the Local Radius of Convergence for Picard Iteration [PDF]

Algorithms, 2017
In this paper, we propose an algorithm to estimate the radius of convergence for the Picard iteration in the setting of a real Hilbert space. Numerical experiments show that the proposed algorithm provides convergence balls close to or even identical to the best ones.
openaire   +3 more sources

Polynomiography via Ishikawa and Mann Iterations [PDF]

, 2012
The aim of this paper is to present some modifications of complex polynomial roots finding visualization process. In this paper Ishikawa or Mann iterations are used instead of the standard Picard iteration.
Krzysztof Gdawiec, Lisowska, Agnieszka, Kotarski, Wiesław, Gdawiec, Krzysztof, Wiesław Kotarski, Agnieszka Lisowska   +5 more
core   +1 more source

Enhanced Glycolysis‐Driven Histone H3K18 Lactylation Regulates Epileptogenesis by Modulating the E3 Ubiquitin Ligase COP1

Advanced Science, EarlyView.
Neuronal PKM2‐driven glycolysis generates excess lactate that triggers histone H3K18 lactylation (H3K18la), establishing a pathogenic metabolic‐epigenetic axis in epilepsy. Elevated H3K18la enriches the Cop1 promoter, transcriptionally upregulating the E3 ubiquitin ligase COP1, which subsequently drives proteasomal degradation of GABAARβ2 and impairs ...
Yuan Meng, Yanlin Guo, Liumi Jiang, Jing Luo, Yan Liu, Ziwei Yuan, Pingyang Ke, Ran Duan, Fei Xiao   +8 more
wiley   +1 more source

Biomorphs via Modified Iterations [PDF]

, 2016
The aim of this paper is to present some modifications of the biomorphs generation algorithm introduced by Pickover in 1986. A biomorph stands for biological morphologies. It is obtained by a modified Julia set generation algorithm.
Krzysztof Gdawiec, Lisowska, Agnieszka, Kotarski, Wiesław, Gdawiec, Krzysztof, Wieslaw Kotarski, Agnieszka Lisowska   +5 more
core   +1 more source

3D Chromatin Architecture Provides Insights Into Leaf Trait Variation Among Pear Species

Advanced Science, EarlyView.
ABSTRACT Three‐dimensional (3D) chromatin architecture plays a fundamental role in eukaryotic gene regulations, its functional significance in perennial fruit trees remains poorly characterized despite extensive applications in crop genomics. Here, we developed high‐resolution (∼5 kb) Hi‐C maps of Pyrus and compared 3D genomic architecture of three ...
Yueyuan Liu, Chenhui Han, Cheng Xue, Manyi Sun, Bobo Song, Yongsong Xue, Guangyan Yang, Shaozhuo Xu, Wei Wei, Jiaming Li, Runze Wang, Jun Wu   +11 more
wiley   +1 more source

Dose‐Dependent Reprogramming of Chromatin Accessibility by SOX4 Drives the Transcriptional Response to Iron Overload

Advanced Science, EarlyView.
This study demonstrates that iron overload triggers widespread chromatin compaction and transcriptional repression in human granulosa cells, recapitulating features of endometriosis. The epigenetic reprogramming is orchestrated by a TFEB‐SOX4‐SWI/SNF axis, with SOX4 acting as a central, dosage‐sensitive regulator.
Feifei Li, Yaoqiu Wu, Guangyu Yang, Jingyi Lai, Xiaoyue Sun, Liyan Wang, Xiaoli Li, Jing Zhang, Qingxue Zhang, Hui Chen, Haiyan Lin, Bingxiang Xu, Junfeng Zhang, Hailong Wang, Anming Meng, Chunwei Cao   +15 more
wiley   +1 more source

DNA Replication Errors Drive Genome‐Wide Small Inverted Triplication Dynamics

Advanced Science, EarlyView.
This study provides insight into the dynamic equilibrium mechanism of a novel structural variant, small inverted triplication (SIT), which is generated by misalignment of the 3’ flap generated under DNA replication stress with palindromic sequence. Alternatively, the end sequence may fold back on itself to form an inverted fragment.
Yi Lei, Yu Zhou, Haitao Sun, Hang Yuan, Xinyu Pei, Jessica D. Hess, Yao Yan, Zunsong Hu, Mian Zhou, Zhaohui Gu, Li Zheng, Xiwei Wu, Binghui Shen   +12 more
wiley   +1 more source

On the equivalence of Picard, Mann and Ishikawa iterations for a class of quasi-contractive operators

, 2008
We show that the Picard, Mann and the Ishikawa iterations are equivalent when applied to a class of quasi-contractive operators. This result generalises that of Soltuz among others. JONAMP Vol. 11 2007: pp.
Olaleru, JO, JO Olaleru
core   +1 more source

Comparison of numerical methods for the solution of Richards' equation in layered porous media [PDF]

Numerical Methods in Civil Engineering
In this research, the advanced finite volume scheme of the Dual Discrete method has been used for the numerical modeling of Richards' equation. Three forms of Richards' equation, including head form, water content form, and mixed form with a modified ...
Roza Asadi, Zahra Zamani Aliabadi
doaj   +1 more source

Multi‐Omics Insights Into the Mechanisms of Early Muscle Fiber Difference and Transformation Between Lean‐Type and Chinese Indigenous Pigs

Advanced Science, EarlyView.
Multi‐omics analyses uncover breed‐specific cis‐regulatory landscapes and higher‐order chromatin architectural differences that underlie early postnatal muscle fiber divergence in pigs. A super‐enhancer upstream of PPP3CB recruits MEF2C to activate PPP3CB transcription, while the PPP3CB–MEF2C positive feedback loop promotes oxidative muscle fiber ...
Shuailong Zheng, Hainan Wu, Min Liu, Kunpeng Wu, Shuntao Huang, Zulfiqar Ahmed, Lenox Pius, Mengjin Zhu, Dequan Xu   +8 more
wiley   +1 more source