Based on basic principles gleaned from fish studies, the threesome created a mathematical model that incorporated the physical principles involved in initiating and maintaining a dolphin's spin.
Using about two decades of semiconductor sales data, Halla worked with Dr. Amad Bahai, a professor at Stanford University, to build a complex mathematical model that incorporated chaos theory, neural networks, linear and nonlinear regression techniques and deterministic progression.
Temperature profiles and temperature distribution of the ohmic heating process were simulated and analysed via experimental and mathematical modelling which incorporated appropriate electromagnetic and thermal phenomena.
The scrapie eradication policies were strongly influenced by the predictions of mathematical models, which incorporated emerging information on host genetics and scrapie epidemiology and predicted the impact of selection on changes in PrP gene frequencies and scrapie prevalence over time (e.g. [5], [6]).
In some cases, this is helpful: previously restrictive assumptions about the observation process can be relaxed; previously intractable ecological mechanisms can be expressed as mathematical models and incorporated in estimation.
For relative quantification in qPCR, a mathematical model was used that incorporated the effects of the efficiency of amplification for each primer pair over a 10 range of template dilutions and starting template concentrations were normalized by comparing to β-actin amplification.
In this controller, time delay effect is incorporated in the mathematical model of the dynamic system throughout the control design and no approximations and assumptions are made in the controller derivation, so the system stability is easily guaranteed.
Seven desalination settings coupled with the available energy options, including fossil-fuel types, solar power and nuclear energy, were compared based on ecological and financial aspects and incorporated into a mathematical model.
The mathematical model represented the mesoaccumbens pathway and incorporated both receptor kinetics and network dynamics.
Major clinical characteristics are summarised in Figure 1, which shows the durations of survival following the specific treatments correlated (P<0.01 Student's t-test) with age and KPS and demonstrates the broad ranges of clinical factors that can be accommodated by – but not incorporated in – the mathematical model.
