Performance of 5-stage, 4-stage and specific stochastic Runge-Kutta methods in approximating the solution of stochastic biological model by Noor Amalina Nisa, Ariffin, Norhayati, Rosli, Abdul Rahman, Mohd Kasim, Mazma Syahidatul Ayuni, Mazlan

“…To the fact that the stochastic models incorporate the random effects that may influence the behaviour of physical systems, SDEs seems to be the best model that can be used i n assessing those systems. …”
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Mean‐variance hedging with basis risk by Xue, Xiaole, Zhang, Jingong, Weng, Chengguo

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Variance reduction techniques for chemical reaction network simulation by Beentjes, C

“…<p>In recent decades stochastic models have become an indispensable tool when analysing quantitative biological data, which are often subject to noise, both from intrinsic and extrinsic sources. …”

Stability Analysis of Explicit and Implicit Stochastic Runge-Kutta Methods for Stochastic Differential Equations by Adam, Samsudin, Norhayati, Rosli, Amalina Nisa, Ariffin

“…This paper concerns to the stability analysis of explicit and implicit stochastic Runge-Kutta methods in approximating the solution of stochastic models. The stability analysis of the schemes in mean-square norm is investigated. …”
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Coupled model biases breed spurious low-frequency variability in the tropical Pacific Ocean by Samanta, Dhrubajyoti, Karnauskas, Kristopher B., Goodkin, Nathalie F., Coats, Sloan, Smerdon, Jason E., Zhang, Lei

“…The consistency of a simple stochastic model with complex GCMs suggests that a previously defined Pacific Centennial Oscillation may be driven by biases in high‐frequency ENSO forcing in the western equatorial Pacific. …”
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Multi−scale modelling and the IUPS physiome project by Crampin, E, Smith, N, Hunter, P

“…We review the development of models of cellular and tissue function and in particular address issues of multi-scale modelling, including the transition from stochastic models to continuum models and the incorporation of cell and tissue structure. …”

Stochasticity in cultural evolution: a revolution yet to happen. by Billiard, S, Alvergne, A

“…For that to occur, stochastic models ought to be developed specifically for cultural data and not through a copy-pasting of neutral models from population genetics or ecology.…”

Gene regulatory networks: A coarse-grained, equation-free approach to multiscale computation by Erban, R, Kevrekidis, I, Adalsteinsson, D, Elston, T

“…We present computer-assisted methods for analyzing stochastic models of gene regulatory networks. The main idea that underlies this equation-free analysis is the design and execution of appropriately initialized short bursts of stochastic simulations; the results of these are processed to estimate coarse-grained quantities of interest, such as mesoscopic transport coefficients. …”

Gene regulatory networks: a coarse-grained, equation-free approach to multiscale computation. by Erban, R, Kevrekidis, I, Adalsteinsson, D, Elston, T

“…We present computer-assisted methods for analyzing stochastic models of gene regulatory networks. The main idea that underlies this equation-free analysis is the design and execution of appropriately initialized short bursts of stochastic simulations; the results of these are processed to estimate coarse-grained quantities of interest, such as mesoscopic transport coefficients. …”

Analysis of retinoblastoma age incidence data using a fully stochastic cancer model by Little, M, Kleinerman, R, Stiller, C, Li, G, Kroll, M, Murphy, M

“…The population incidence of RB is best described by a fully stochastic model with two stages, although models with a deterministic stem cell compartment yield equivalent fit; models with three or more stages fit much less well. …”

Reactive boundary conditions for stochastic simulations of reaction-diffusion processes by Erban, R, Chapman, S

“…In this paper, we study four different approaches to stochastic modelling of reaction–diffusion problems and show the correct choice of the boundary condition for each model. …”

Coupling volume-excluding compartment-based models of diffusion at different scales: Voronoi and pseudo-compartment approaches. by Taylor, P, Baker, R, Simpson, M, Yates, C

“…The stochastic models we consider in this paper are `compartment-based': the domain is discretized into compartments, and particles can jump between these compartments. …”

Reactive boundary conditions for stochastic simulations of reaction-diffusion processes. by Erban, R, Chapman, S

“…In this paper, we study four different approaches to stochastic modelling of reaction-diffusion problems and show the correct choice of the boundary condition for each model. …”

Analysis of retinoblastoma age incidence data using a fully stochastic cancer model. by Little, M, Kleinerman, R, Stiller, C, Li, G, Kroll, M, Murphy, M

“…The population incidence of RB is best described by a fully stochastic model with two stages, although models with a deterministic stem cell compartment yield equivalent fit; models with three or more stages fit much less well. …”

Analysis of residual atmospheric delay in the low latitude regions using network-based GPS positioning by Musa, Tajul A.

“…Furthermore, test results of stochastic modelling in various GPS networks suggests that there are improvements in validating the ambiguity resolution results and handling the temporal correlation, although the positioning result do not differ compared to using the simple stochastic model typically used in standard baseline processing.…”
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Deterministic and stochastic analysis of the lithiation/delithiation dynamics of a cathode nanoparticle by Wang, C, Hall, C, Howell, P

“…This leads to a discrete, stochastic model of lithiation that has the capacity to exhibit very different behavior from the original differential equation model. …”

A comprehensive literature review on pricing equity warrants using stochastic approaches by Ibrahim, Siti Zulaiha, Roslan, Teh Raihana Nazirah, Jameel, Ali Fareed

“…Therefore( issues revolving equity warrants are discussed in this paper, by focusing on specific topics and respective stochastic models to provide a basis for improvements in future research. …”
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Multi-scale coarse-graining for the study of assembly pathways in DNA-brick self-assembly by Cabeleira Fonseca, P

“…</p> <p>We first introduce a stochastic model that describes the growth of one target structure under a fixed background concentration of SSTs. …”

The Separatrix Algorithm for Synthesis and Analysis of Stochastic Simulations with Applications in Disease Modeling by Klein, Daniel J., Baym, Michael Hartmann, Eckhoff, Philip

“…Each run of a stochastic model can be viewed as a Bernoulli trial in which “success” is returned if and only if the goal is achieved in simulation. …”
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Simulation and inference algorithms for stochastic biochemical reaction networks: from basic concepts to state-of-the-art by Warne, D, Baker, R, Simpson, M

“…As a result, this review provides a practical and accessible introduction to computational methods for stochastic models within the life sciences community.…”