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. …”

Synchrony and Periodicity in Excitable Neural Networks with Multiple Subpopulations by DeVille, Lee, Zeng, Yi

“…We also show that the cascading model considered here is a mean-field limit of an existing stochastic model.…”
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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.…”

A generative angular model of protein structure evolution by Golden, M, Garcia-Portugues, E, Sørensen, M, Mardia, K, Hamelryck, T, Hein, J

“…Recently described stochastic models of protein evolution have demonstrated that the inclusion of structural information in addition to amino acid sequences leads to a more reliable estimation of evolutionary parameters. …”

A Comparison of Reduced-Form Permit Price Models and their Empirical Performances by Taschini, Luca, Grüll, Georg

“…Third, by means of calibration to historical data, it is shown how these reduced-form models perform in the current price-evolution framework also with respect to standard continuous time stochastic models.…”
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Applying the Thorne-Kishino-Felsenstein model to sequence evolution on a star-shaped tree by Steel, M, Hein, J

“…Stochastic models that allow site substitutions, insertions, and deletions provide a useful framework for a statistical approach to DNA sequence evolution. …”

Data-driven prediction and impact analysis for smart city applications by Mo, Xiaoyun

“…Secondly, we develop a stochastic model to predict when and where a service delay or disruption may occur in rail systems. …”
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Statistical analysis of fine particle resuspension from rough surfaces by turbulent flows by You, Siming, Wan, Man Pun

“…Particle resuspension plays a part in indoor aerosol dynamics and has received increasing attention due to its ability to prolong human exposure to airborne particles. A stochastic model of turbulence-induced particle resuspension from rough surfaces is proposed based on the statistical nature of the process. …”
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A Gompertzian Model With Random Effects To Cervical Cancer Growth by Mazma Syahidatul Ayuni, Mazlan, Norhayati, Rosli

“…We apply 4-stage Runge- Kutta (SRK4) for solving the stochastic model numerically. The efficiency of mathematical model is measured by comparing the simulated result and the clinical data of the cervical cancer growth. …”
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Spin dynamics in pyrochlore Heisenberg antiferromagnets. by Conlon, P, Chalker, J

“…We also construct a solvable stochastic model for dynamics with conserved magnetization, which accurately reproduces most features of the precessional results. …”

Mathematical modelling of membrane filtration by Krupp, A

“…We first couple the theory of gravity currents with the stochastic model developed in Chapter~3 to determine a filtration law from a given set of experiments. …”

Semiflexible particles in isotropic turbulence by Ali, A, Plan, E, Ray, S, Vincenzi, D

“…The Lagrangian dynamics of semiflexible particles in homogeneous and isotropic turbulent flows is studied by means of analytically solvable stochastic models and direct numerical simulations. The stationary statistics of the bending angle shows a strong dependence on the dimension of the flow. …”

Automatic Parameter Estimation of a Large Conceptual Rainfall-runoff Model: A Maximum Likelihood Approach by Restrepo Posada, Pedro J., Bras, Rafael L.

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Stochastic lattice-based models of diffusion in biological systems by Taylor, P

“…<p>Diffusion is a universal phenomenon, throughout both biological and physical sciences, and a range of deterministic and stochastic models are available to interrogate diffusion-driven processes. …”