Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense by Md. Nur Alam

“…The results offer significant insights into understanding and modeling intricate behaviors across various scientific and engineering fields, showcasing the versatility and applicability of the MG'/GE scheme for addressing complex nonlinear evolution equations (NLEEs) influenced by stochastic processes. The dynamic properties and features of these solutions are extensively examined through 3-dimensional, 2-dimensional and contour plots. …”
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Geomagnetic Storm Occurrence and Their Relation With Solar Cycle Phases by Paula I. Reyes, Victor A. Pinto, Pablo S. Moya

“…Considering that geomagnetic storms can be modeled as stochastic processes with a log‐normal probability distribution over their minimum Dst index, the dataset was separated according to solar cycle (SC) and SC phases, and the distributions of events were fitted through maximum likelihood method in order to characterize the occurrence of storms in each cycle and phase, and then compare those occurrences to the SC24. …”
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Distributed delays in a hybrid model of tumor-Immune system interplay by Giulio Caravagna, Alex Graudenzi, Alberto d’Onofrio

“…By its nature, tumor growth is an ideal object of hybrid modeling where discrete stochastic processes model low-numbers entities, and mean-field equations model abundant chemical signals. …”
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The landscape of nucleotide diversity in Drosophila melanogaster is shaped by mutation rate variation by Barroso, Gustavo V, Dutheil, Julien Y

“…Attempts to answer this question have sparked debate about the roles of neutral stochastic processes and natural selection in molecular evolution. …”
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Liberties of the genome: insertions of mitochondrial DNA fragments into nuclear genome by M. V. Golubenko, V. P. Puzyrev

“…The constant flow of functionally inactive DNA sequences from mitochondria into the nucleus and its significance could be studied in view of the modern concepts of evolutionary theory suggesting non-adaptive complexity and the key role of stochastic processes in the formation of genomic structure.…”
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Heavy metal contamination and eutrophication effects on bacterial communities in the Han River basin by Fei Xiong, Cejia Yao, Dongdong Zhai, Hongyan Liu, Wang Dong, Yuanyuan Chen

“…Analysis of β-nearest taxon index (βNTI) indicated that stochastic processes primarily shaped community assembly. …”
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Evaluation of the current status and risks of aquatic ecology in the Jialing River Basin based on the characteristics and succession trends of phytoplankton communities by Maojin Huang, Fei Xu, Jia Xia, Xue Yang, Fubin Zhang, Siyao Liu, Tuo Zhang

“…The aquatic ecosystem health was better in autumn than in spring and in the mainstem than in the tributary. 3) Ammonia nitrogen and permanganate indices were key drivers of community composition in the tributary, while the main stem was negatively correlated with total phosphorus, ammonia nitrogen, and permanganate indices. 4) Stochastic processes dominated the assembly of phytoplankton communities in spring in the Jialing River, while autumn in the Jialing and Xichong Rivers (tributary river) and spring in the Xichong River were mainly dominated by deterministic processes. …”
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Development of a microbiome for phenolic metabolism based on a domestication approach from lab to industrial application by Wei Zhao, Liuyang Shi, Yifan Han, Xingbiao Wang, Jingjing Wang, Song Xu, Xiaoxia Zhang, Zhiyong Huang

“…The incorporation of increased stochastic processes and random network characteristics further suggested the stability of the microbial community during the application phase. …”
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Energy Efficiency of Using Hybrid Heating Points in Conditions of Integration of Electrical and Thermal Networks of Urban Neighborhoods. Part 1. Justification of the Feasibility of... by A. V. Sednin, M. I. Pozdnyakova

“…The paper discusses the circumstances and technical solutions that contribute to the integration of electrical and thermal networks of urban neighborhoods within the framework of a surplus of electricity generating capacities arising from the imbalance in the development of energy generation and consumption, stochastic processes of market economy development, the transfer of energy-intensive industrial production to other countries, the desire to diversify fuel energy resources, passion for the construction of energy sources for alternative energy resources in counterbalance to traditional energy facilities without taking into account all aspects of the interaction of the former with the environment, etc. …”
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Similar biogeographic patterns of abundant and rare bacterial communities are driven by distinct assembly mechanisms in grassland soils by Sihao Zhu, Bai Yue, Kun Liu, Ning Zhao

“…Mean annual precipitation (MAP) was the dominant driver of community assembly at the transect scale, with extreme MAP (<200 or >400 mm) resulting in more deterministic processes and a moderate level of MAP (200–400 mm) leading to more stochastic processes. However, the effects of geographical distance and soil properties on different grassland habitats cannot be ignored. …”
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A novel framework unveiling the importance of heterogeneous selection and drift on the community structure of symbiotic microbial indicator taxa across altitudinal gradients in amp... by Jin Zhou, Zhidong Liu, Sishuo Wang, Jing Li, Lin Zhang, Ziyan Liao

“…In different altitude groups, we found that heterogeneous selection governed the community structure of symbiotic microbes across DSUs, while stochastic processes tended to increase with altitude. For DTUs at phylum and family levels, drift emerged as the dominant mechanism driving the community structure in the most symbiotic microbial taxa, while heterogeneous selection governs the most dominant or indicator taxa. …”
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Small molecule metabolites drive plant rhizosphere microbial community assembly patterns by Yanwei Ma, Heqi Wang, Yalong Kang, Tao Wen

“…Variable selection (βNTI &gt;2) drove phylogenetic turnover in ST, while stochastic processes (|βNTI| &lt; 2) dominated in CK. This study provides quantitative insights into the role of rhizosphere metabolites in shaping microbial community assembly and highlights their potential for targeted modulation of rhizosphere microbiomes.…”
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Differential impacts of water diversion and environmental factors on bacterial, archaeal, and fungal communities in the eastern route of the South-to-North water diversion project by Moran Tang, Qian Chen, Xinzong Xiao, Yitao Lyu, Weiling Sun

“…Robustness analyses revealed reduced community stability during the WDP, with water diversion primarily influencing bacterial stability, while environmental factors had a greater impact on archaeal and fungal communities. Stochastic processes, primarily homogenizing dispersal and drift, intensified for bacterial and fungal communities during the WDP. …”
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The dynamics of lowland river sections of Danube and Tisza in the Carpathian basin by Imre M. Jánosi, Imre M. Jánosi, István Zsuffa, István Zsuffa, Tibor Bíró, Boglárka O. Lakatos, Boglárka O. Lakatos, András Szöllősi-Nagy, Zsolt Hetesi, Zsolt Hetesi

“…The empirical histograms for half-daily water level changes can be well-fitted by piecewise-exponential functions containing four or three sections, consistent with the understanding that level changes are deterministic rather than stochastic processes, as is well known in hydrology. Such statistical tests can serve as benchmarks for modeling water levels and discharges. …”
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Eukaryotic plankton community and assembly processes in a large-scale water diversion project in China by Liming Zhu, Lihui Feng, Daoxi Zhang, Fang Shi, Xi Zou, Qing Yang, Shan He, Wen Zhu

“…Additionally, the assembly processes of eukaryotic plankton in both DJK and MRP are predominantly influenced by stochastic processes. However, in comparison to DJK, deterministic processes have a more pronounced impact on MRP, accounting for 39.29% and 1.82%, respectively. …”
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Effects of Different River Crab <i>Eriocheir sinensis</i> Polyculture Practices on Bacterial, Fungal and Protist Communities in Pond Water by Yun Bao, Bing Li, Rui Jia, Linjun Zhou, Yiran Hou, Jian Zhu

“…Furthermore, the PC group shifted the assembly mechanism of the bacterial community from being predominantly deterministic to predominantly stochastic processes, with relatively minor impacts on the fungal and protist communities. …”
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The co-occurrence patterns and assembly mechanisms of microeukaryotic communities in geothermal ecosystems of the Qinghai-Tibet Plateau by Bingjie Yan, Bingjie Yan, Xiaodong Li, Xiaodong Li, Nanqian Qiao, Nanqian Qiao, Zhen Da, Zhen Da, Jiajie Xu, Jiajie Xu, Chuanqi Jiang, Sang Ba, Sang Ba

“…The assembly mechanisms of microeukaryotic communities in both sediment and water were primarily driven by undominant processes within stochastic processes. Latitude and longitude were the key factors influencing changes in sediment community composition, while water temperature and electrical conductivity were the major environmental factors affecting water community composition. …”
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Spartina alterniflora invasion significantly alters the assembly and structure of soil bacterial communities in the Yellow River Delta by Pengyuan Sun, Yuxin Wu, Pengcheng Zhu, Jingfeng Wang, Jingfeng Wang, Xiaona Yu, Weihua Guo

“…In comparison, S. alterniflora-associated bacterial communities were enriched with both sulfate-reducing bacteria (SEEP-SRB1) and sulfate-oxidizing bacteria (Sulfurimonas), which maintained a dynamic balance in the local sulfur-cycle, and thereby enhanced S. alterniflora growth. In addition, stochastic processes dominated the assembly of soil bacterial communities associated with all four plant species, but were most important for the S. alterniflora community. …”
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Crab bioturbation alters the community assemblies of abundant and rare bacteria on an intertidal wetland in the Yellow River estuary by Zhikang Wang, Yongqi Wang, Jisong Yang, Jisong Yang, Junfen Yan, Kaixin Yang, Zhonghua Ren, Wei Wang, Yang He, Min Li, Junfei Zhan, Bo Guan, Xuehong Wang, Yunzhao Li, Di Zhou, Buli Cui, Junbao Yu

“…Furthermore, we discovered that the assembly processes of abundant subcommunities were primarily influenced by stochastic processes, while rare subcommunity assemblies were collectively shaped by both stochastic and deterministic processes. …”
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Thermal sensitivity and niche plasticity of generalist and specialist leaf-endophytic bacteria in Mangrove Kandelia obovata by Rajapakshalage Thashikala Nethmini, Huaxian Zhao, Lianghao Pan, Xinyi Qin, Jiongqing Huang, Qing He, Xiaofang Shi, Gonglingxia Jiang, Qinghua Hou, Qingxiang Chen, Xiaolei Li, Ke Dong, Lingling Xie, Nan Li

“…Interestingly, temperature has a limited impact on functional profiles. Stochastic processes govern community assembly in both bacterial groups, altering the β-nearest taxon indices as temperatures increase. …”
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