• Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations

      Norton, Stewart J.; Ford, Neville J.; University of Chester (AIMS Press, 2006-06)
      This article considers numerical approximations to parameter-dependent linear and logistic stochastic delay differential equations with multiplicative noise. The aim of the investigation is to explore the parameter values at which there are changes in qualitative behaviour of the solutions. One may use a phenomenological approach but a more analytical approach would be attractive. A possible tool in this analysis is the calculation of the approximate local Lyapunov exponents. In this paper we show that the phenomenological approach can be used effectively to estimate bifurcation parameters for deterministic linear equations but one needs to use the dynamical approach for stochastic equations.
    • Prenatal exposures and exposomics of asthma

      Choi, Hyunok; Mc Auley, Mark T.; Lawrence, David A.; University at Albany ; University of Chester ; Center for Medical Sciences, Albany, NY (AIMS Press, 2015-02-19)
      This review examines the causal investigation of preclinical development of childhood asthma using exposomic tools. We examine the current state of knowledge regarding early-life exposure to non-biogenic indoor air pollution and the developmental modulation of the immune system. We examine how metabolomics technologies could aid not only in the biomarker identification of a particular asthma phenotype, but also the mechanisms underlying the immunopathologic process. Within such a framework, we propose alternate components of exposomic investigation of asthma in which, the exposome represents a reiterative investigative process of targeted biomarker identification, validation through computational systems biology and physical sampling of environmental media