Modelling biochemical systems: from Mass Action Kinetics to Linear Noise Approximation by Jesús Picó, Alejandro Vignoni, Enric Picó-Marco, Yadira Boada

“…The second part of the tutorial describes the most widely used methods for stochastic modeling in molecular cell biology, paying special attention to the so-called linear noise approximation.…”
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Optimal voltage and frequency control strategy for renewable-dominated deregulated power network by Vineet Kumar, Sumit Sharma, Vineet Kumar, Sachin Sharma, Ark Dev

“…The system integrates thermal, diesel, wind, solar photovoltaic (PV), and hydroelectric sources. Two stochastic modeling techniques are used to characterize wind and solar generation, accounting for their variability within the control loops. …”
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Tropical Cyclone Wind Field Reconstruction for Hazard Estimation via Bayesian Hierarchical Modeling With Neural Network by C. Yang, J. Xu

“…Since reliable TC data are available only for recently decades, stochastic modeling and simulation turned out to be an effective approach to achieve more stable hazard estimates. …”
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A Time Variant Outdoor-to-Indoor Channel Model for Mobile Radio Based Navigation Applications by Wei Wang, Thomas Jost, Uwe-Carsten Fiebig, Wolfgang Koch

“…In this paper, an outdoor-to-indoor channel model is proposed based on an extension of the geometry-based stochastic modeling approach to fulfill the requirements. …”
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Inspection and preventive maintenance optimization of electrographite brushes for a hydrogenerator unit in the Brazilian interconnected power system by Gisele Maria de Oliveira Salles, Yago Lafourcade Baracy, Lucas Fritzen Venturini, Gabriela Rosalee Weigert-Dalagnol, Raphael Augusto de Souza Benedito, Diego Issicaba

“…The approach is characterized by the probabilistic representation of brush wearing and associated emergency stops using real data from a hydroelectric generator unit; the stochastic modeling of inspection as well as preventive and corrective maintenance activities; and the application of a conditional value-at-risk indicator dictated by contracted thresholds of generation unavailability. …”
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Assessment of risk for aromatic hydrocarbons resulting from subsea Blowouts: A case study in eastern Canada by Zhaoyang Yang, Zhi Chen, Qin Xin, Kenneth Lee

“…This study integrates a novel deepwater oil spill model (DWOSM) and an extended stochastic modeling methodology to assess the environmental risk of polycyclic aromatic hydrocarbons (PAHs) during a simulated offshore subsurface blowout off the east coast of Newfoundland, Canada. …”
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Analyzing and forecasting the dynamics of Internet resource user sentiments based on the Fokker–Planck equation by J. P. Perova, S. A. Lesko, A. A. Ivanov

“…During the research, stochastic modeling methods were used along with methods and models derived from graph theory, as well as tools and technologies of object-oriented programming for the development of systems for collecting data from mass media sources, and simulation modeling approaches.Results. …”
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Modeling undetected poliovirus circulation following the 2022 outbreak in the United States by Dominika A. Kalkowska, Kamran Badizadegan, Janell A. Routh, Cara C. Burns, Eli S. Rosenberg, I. Ravi Brenner, Jane R. Zucker, Marisa Langdon-Embry, Kimberly M. Thompson

“…Background New York State (NYS) reported a polio case (June 2022) and outbreak of imported type 2 circulating vaccine-derived poliovirus (cVDPV2) (last positive wastewater detection in February 2023), for which uncertainty remains about potential ongoing undetected transmission.Research Design and Methods Extending a prior deterministic model, we apply an established stochastic modeling approach to characterize the confidence about no circulation (CNC) of cVDPV2 as a function of time since the last detected signal of transmission (i.e. poliovirus positive acute flaccid myelitis case or wastewater sample).Results With the surveillance coverage for the NYS population majority and its focus on outbreak counties, modeling suggests a high CNC (95%) within 3–10 months of the last positive surveillance signal, depending on surveillance sensitivity and population mixing patterns. …”
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A Novel Stochastic CatBoost Based Shear Wave Velocity Prediction and Uncertainty Analysis in Sandstone Reservoir Using Multi-Seismic Attributes by Touhid Mohammad Hossain, Maman Hermana, John Oluwadamilola Olutoki

“…By leveraging the strengths of gradient boosting and stochastic modeling, our method provides more robust and reliable predictions of <inline-formula> <tex-math notation="LaTeX">$V_{s}$ </tex-math></inline-formula>, accounting for the variability and uncertainty in geological data. …”
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Modelado de sistemas bioquímicos: De la Ley de Acción de Masas a la Aproximación Lineal del Ruido by Jesús Picó, Alejandro Vignoni, Enric Picó-Marco, Yadira Boada

“…The second part of the tutorial describes the most widely used methods for stochastic modeling in molecular cell biology, paying special attention to the so-called linear noise approximation. …”
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Density-dependent distributions of hosts and parasitoids resulting from density-independent dispersal rules: implications for host–parasitoid interactions and population dynamics by Toshinori Okuyama

“…Individual-level dispersal rules were simulated in the stochastic model without assuming the resulting distributions. …”
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A SIRS Epidemic Model Incorporating Media Coverage with Random Perturbation by Wenbin Liu

“…And for the corresponding stochastic epidemic model, we prove that the endemic equilibrium of the stochastic model is asymptotically stable in the large. …”
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Dynamic Behavior of a Stochastic Tungiasis Model for Public Health Education by Lili Kong, Luping Li, Shugui Kang, Youjun Liu, Wenying Feng

“…First, the existence and uniqueness of global positive solution of stochastic models are proved. Secondly, by constructing Lyapunov function and using Ito^ formula, sufficient conditions for disease extinction and persistence in the stochastic model are proved. …”
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Conditions for extinction and ergodicity of a stochastic Mycobacterium tuberculosis model with Markov switching by Ying He, Bo Bi

“…First, we prove that the stochastic model has a unique global positive solution. …”
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Vehicle parameter sensitivity with polynomial chaos by Eduardo Haro, Mario Acebedo, Ramiro Velázquez

“…The stochastic model should be a very close approximation of the original model.…”
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On functionals of a marked Poisson process observed by a renewal process by Jewgeni H. Dshalalow, Jean-Baptiste Bacot

“…Many results are directly applicable to the time-dependent analysis of queues and other stochastic models via semi-regenerative techniques.…”
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Stochastic epidemic models with a backward bifurcation by Linda J. S. Allen, P. van den Driessche

“…For population sizes $N\geq 1000$, the deterministic and stochastic models agree,butfor small population sizes the stochastic models indicate that the backward bifurcation may have little effect on the disease dynamics.…”
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Stochastic simulation of soil moisture dynamics in farmland in the eastern region of the Songnen Plain. by Bo Meng, Jin Wang, Fanxiang Meng, Ennan Zheng, Tianxiao Li, Bowen Tang

“…It shows that the stochastic model can effectively simulate the probability density function of soil moisture in the study area, which can provide a theoretical basis and scientific method for efficiently using soil and water resources in the area.…”
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Annual Observations of Climatic Impacts in the Songhua River Basin, China by Xiaocheng Song, Liu Jing

“…In this study, based on annual observation data from the Songhua River Basin (Harbin, China), a regression and a stochastic model were used to analyze the relationship of the atmosphere-river daily maximum temperatures and evaluate the heat fluxes. …”
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The infection spread model among grouped drug users by Vytautas Tiešis

“… The stochastic model of an infection spread among intravenous drug users was built in the case when a group of drug users shares one filled syringe. …”
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