A Classical Limit of Noumi's q-Integral Operator by Remenik, Daniel, Borodin, Alexei, Corwin, Ivan

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Design and implementation of safety control for a class of stochastic order preserving systems with application to collision avoidance near intersections by Mojtaba, Forghani (Forghani Oozroody)

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Communication: Distinguishing between short-time non-Fickian diffusion and long-time Fickian diffusion for a random walk on a crowded lattice by Ellery, A, Baker, R, Simpson, M

“…A common approach to modeling this kind of hindered transport is to examine the mean squared displacement (MSD) of a motile tracer particle in a lattice-based stochastic random walk in which some lattice sites are occupied by obstacles. Unfortunately, stochastic models can be computationally expensive to analyze because we must average over a large ensemble of identically prepared realizations to obtain meaningful results. …”

Constraining stochastic parametrisation schemes using high-resolution simulations by Christensen, H

“…When compared with a deterministic model, a stochastic model represents “model uncertainty”, that is, sources of error in the forecast due to the limitations of the forecast model. …”

Does Proximity Matter? Distance Dependence of Adolescent Friendships. by Preciado, P, Snijders, T, Burk, W, Stattin, H, Kerr, M

“…The analysis is a three-step process that combines 1) nonparametric logistic regressions to unravel the overall functional form of the dependence of friendship on distance, without assuming it has a particular strength or shape; 2) parametric logistic regressions to construct suitable transformations of distance that can be employed in 3) stochastic models for longitudinal network data, to assess how distance, individual covariates, and network structure shape adolescent friendship dynamics. …”

A theoretical investigation of the effect of proliferation & adhesion on monoclonal conversion in the colonic crypt by Mirams, G, Fletcher, A, Maini, P, Byrne, H

“…By comparing simulation results with those from a simple one-dimensional stochastic model of population dynamics at the base of the crypt, we infer that this sensitivity is due to direct competition between wild-type and mutant cells at the base of the crypt. …”

A practical guide to pseudo-marginal methods for computational inference in systems biology by Warne, DJ, Baker, RE, Simpson, MJ

“…For many stochastic models of interest in systems biology, such as those describing biochemical reaction networks, exact quantification of parameter uncertainty through statistical inference is intractable. …”

Multi-resolution modelling of biomolecules by Gunaratne, R

“…The parameters for these stochastic models are determined analytically, or inferred from molecular dynamic simulation data via force and velocity correlation statistics for comparison. …”

Going from microscopic to macroscopic on nonuniform growing domains. by Yates, C, Baker, R, Erban, R, Maini, P

“…We first demonstrate that an individual-based stochastic model for particle diffusion on such a nonuniform domain partition is equivalent to a PDE model of the same phenomenon on a nongrowing domain, providing the transition rates (which we derive) are chosen correctly and we partition the domain in the correct manner. …”

Going from microscopic to macroscopic on nonuniform growing domains by Yates, C, Baker, R, Erban, R, Maini, P

“…We first demonstrate that an individual-based stochastic model for particle diffusion on such a nonuniform domain partition is equivalent to a PDE model of the same phenomenon on a nongrowing domain, providing the transition rates (which we derive) are chosen correctly and we partition the domain in the correct manner. …”

Going from microscopic to macroscopic on nonuniform growing domains. by Yates, C, Baker, R, Erban, R, Maini, P

“…We first demonstrate that an individual-based stochastic model for particle diffusion on such a nonuniform domain partition is equivalent to a PDE model of the same phenomenon on a nongrowing domain, providing the transition rates (which we derive) are chosen correctly and we partition the domain in the correct manner. …”

Scale‐aware space‐time stochastic parameterization of subgrid‐scale velocity enhancement of sea surface fluxes by Bessac, J, Christensen, HM, Endo, K, Monahan, AH, Weitzel, N

“…We present an approach to develop stochastic models that adapt to resolution in a scale‐aware fashion. …”

A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt by Mirams, G, Fletcher, A, Maini, P, Byrne, H

“…By comparing simulation results with those from a simple one-dimensional stochastic model of population dynamics at the base of the crypt, we infer that this sensitivity is due to direct competition between wild-type and mutant cells at the base of the crypt. …”

Does proximity matter? Distance dependence of adolescent friendships by Preciado, P, Snijders, T, Burk, W, Stattin, H, Kerr, M

“…The analysis is a three-step process that combines (1) nonparametric logistic regressions to unravel the overall functional form of the dependence of friendship on distance, without assuming it has a particular strength or shape; (2) parametric logistic regressions to construct suitable transformations of distance that can be employed in (3) stochastic models for longitudinal network data, to assess how distance, individual covariates, and network structure shape adolescent friendship dynamics. …”

A Bayesian approach to the evolution of metabolic networks on a phylogeny by Mithani, A, Preston, G, Hein, J

“…Using simple (independent loss/gain of reactions) or complex (incorporating dependencies among reactions) stochastic models of metabolic evolution, it is possible to study how metabolic networks evolve over time. …”

Communication: Distinguishing between short-time non-Fickian diffusion and long-time Fickian diffusion for a random walk on a crowded lattice. by Ellery, A, Baker, R, Simpson, M

“…A common approach to modeling this kind of hindered transport is to examine the mean squared displacement (MSD) of a motile tracer particle in a lattice-based stochastic random walk in which some lattice sites are occupied by obstacles. Unfortunately, stochastic models can be computationally expensive to analyze because we must average over a large ensemble of identically prepared realizations to obtain meaningful results. …”

Statistical theory of the continuous double auction by Smith, E, Farmer, J, Gillemot, L, Krishnamurthy, S

“…On a broader level, this work suggests how stochastic models based on zero-intelligence agents may be useful to probe the structure of market institutions. …”

Modelling the influence of naturally acquired immunity from subclinical infection on outbreak dynamics and persistence of rabies in domestic dogs by Gold, S, Donnelly, CA, Woodroffe, R, Nouvellet, P

“…However, empirical studies have detected rabies-specific antibodies in healthy, unvaccinated domestic dogs, potentially due to immunizing, non-lethal exposure. We developed a stochastic model for canine rabies, parameterised for Laikipia County, Kenya, to explore the implications of different scenarios for naturally acquired immunity to rabies in domestic dogs. …”

Statistical theory of the continuous double auction by Smith, E, Farmer, J, Gillemot, L, Krishnamurthy, S

“…On a broader level, this work suggests how stochastic models based on zero intelligence agents may be useful to probe the structure of market institutions. …”

Assessing population differentiation and isolation from single-nucleotide polymorphism data by Nicholson, G, Smith, A, Jonsson, F, Gustafsson, O, Stefansson, K, Donnelly, P

“…Our model includes the effects of single-nucleotide polymorphism ascertainment and is motivated by population genetics considerations, explicitly in the transient setting after divergence of populations, rather than as the equilibrium of a stochastic model, as is traditionally the case. For the sizes of data set that we consider the method provides good parameter estimates and considerably outperforms estimation methods analogous to those currently used in practice. …”