Considering the engineering technical requirements and the corresponding structure design requirements of the cutter head, this study formulates a nonlinear multi-objective mathematical model with multiple constraints for the disc cutters plane layout design, and analyses the characteristics of a multi-spiral layout pattern, a dynamic star layout pattern and a stochastic layout pattern.
We did not apply ABC to the stochastic SIRS model because the estimated values of the transmission rate, the rate of recovery and the shape parameter (n) from the deterministic SIRS model were sufficient to capture the observed prevalence pattern using a stochastic SIRS model implementing the direct Gillespie algorithm.
Correspondingly, we inferred that the regulation mechanism for acropetal auxin transport described in the model at the basic set of parameter values provides resistance of the auxin distribution pattern to a stochastic variation of auxin concentrations in the cells, which agrees with experimental observations [ 12].
Detailed frame-by-frame image analysis coupled with physical parameters reveals many interesting phenomena, which includes multistage flow pattern development and a stochastic nature of jet dynamics, as well as a strong dependence of the jet penetration depth and jet frequency on the bed materials.
To help understand this previously unobserved bimodal recurrence pattern, they developed a stochastic model to attempt to simulate (by Monte Carlo simulations) the clinical results.
One recent study has suggested that normal cell line promoter methylation patterns evolve through a stochastic process [ 180].
The SIG method aims to identify gene pairs with significant differential co-expression patterns, and combines a stochastic model with gene pair co-expression change.
The proposed DBC method is applied to solve a stochastic pattern recognition problem (i.e., distinguishing a normal pattern from an abnormal pattern exhibited by few data points in a control chart for statistical process control).
Land cover and land use change (LCLUC) is a spatio-temporal process with a stochastic pattern produced by complex patterns produced by complex interactions among social, physical and biological components.
Therefore it is likely that while origin spacing appears to be short when averaged across the population, this most likely reflects a stochastic pattern of origin activation at larger intervals in individual cells rather than unique pattern shared in all cells.
