The qualitative and quantitative agreement of amplitude-response and phase-response curves and limit cycles of the model dynamical system with that observed experimentally suggest that the bulk oscillations in the fundamental mode of a sessile droplet can be very well modeled by a Duffing oscillator with a hard spring, especially near the resonance.
Whenever possible, we underlined the similarities and differences between the two locations observed, linking the physical characteristics of the parking systems with the observed behaviours.
The most frequent organ systems with an observed adverse event were the CNS, gastrointestinal system, and musculoskeletal system; however, only few findings in the gastrointestinal system were judged to be treatment related by the investigator.
Mathematical modeling can be used to construct detailed descriptions for kinetics of molecular processes and, consequently, it offers rigorous and objective means to test whether the current understanding about the molecular system is in agreement with observed data or otherwise expected behavior.
Maps were drawn using geographic information system (GIS) tools of the water supply system, sewage channels and areas with observed faecal contamination of soil within and around the village.
When the equations were combined into a growth and yield system, long term behavior was consistent with observed trends and general expectations.
Simelius et al. [ 13] used a similar approach to design a model of the ventricular system that produced activations consistent with observed activation sequences and timings of the human heart, as well as with ECG data.
The idea that the Planck length amounts to a minimal length in nature follows from the argument that if distances smaller than this length are resolved (say in the measurement of the position of a mass), then it would require energies concentrated in a region so small that a mini-black hole would form, taking the observed system with it – see Rovelli (2007, p. 1289) for this argument.
The measure of calibration SMR is basically a comparison of the number of deaths predicted by the scoring system with the number of observed deaths.
The uncertainty in the model parameters can be reduced by combining prior knowledge about the parameters with observed data regarding system inputs and outputs.
