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For serviceability checks of footbridge designs it would seem reasonable to consider modelling the stochastic nature of the main parameters describing the excitation, such as for instance the load amplitude and the step frequency of the pedestrian.
The studies for the paper are based on numerical simulations of footbridge responses and on the use of Monte Carlo simulations for modelling the stochastic nature of actions of a single pedestrian traversing various pin-supported single-span footbridges with frequencies in vertical bending in the range of 1.6 2.4 Hz.
One way of modelling the stochastic as well as the diffusive aspect of the problem is by explicitly modelling the diffusion and interactions of the individual molecules contained in the system.
In the wider field of probabilistic modelling, the stochastic EM (sEM) algorithm has been used to overcome some of the limitations of the EM algorithm; however, the application of sEM to motif discovery has not been fully explored.
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Rayleigh distributed channel amplitudes have been used to model the stochastic behavior of the channel in this situation.
In this case, the narrowband assumption of modeling the stochastic process of taps independent across delay no longer holds.
A cascade of two dynamic systems is proposed to model the stochastic ground motion and the response of the structure.
In this work, we modeled the stochastic repair processes of DSBs and a detection mechanism which is based on the autophosphorylation of ATM.
Dynamic Bayesian networks (DBNs) are used to model the stochastic evolution of a set of random variables.
Toward understanding such single-cell variability in apoptosis response, some theoretical efforts have been taken recently to model the stochastic response of receptor-mediated apoptotic pathway.
We explicitly model the underlying stochastic process, using Markov chain Monte Carlo (MCMC) simulation in a Bayesian framework [ 28- 30].
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