As suggested in the publication, the Arrhenius equation (2) was then used as secondary model formula to create a model for the change of the first-order rate constant k with temperature (2) k = B e − E a / R T, where B is an empirically determined constant, E a is the activation energy, R is the gas constant, and T is the temperature in Kelvin.
Holstein et al. (2010) used the concept of gravi-magnetic similarity, and extended the thin-sheet potential modeling formula to include the potential, field, and field gradient in both gravity and magnetic cases when the buried bodies have uniform density or magnetization.
Both models provide formulae to predict the ring temperature, that will ease the benchmarking of future physical models against data.
The innovations of the developed models include developing formulae to predict the resistances of the connector used in the sandwich shell structure, redefining the critical perimeter to analyze the punching shear resistance of SCS sandwich shell, and modifying the formulae in Eurocode 2 to calculate the punching shear resistance.
The indexes, parameters and variables used in the model formulae are given in list of symbols.
We use the statistical channel model to give approximation formulae to validate the results of the simulation.
Jackson et al. [ 21] published a primary model formula which was fitted to measurements of residual ricin (1) after inactivation in different foods (1) % r i c i n = A e − k t, where A is an empirically determined constant, k is the first-order rate constant, and t is the thermal treatment duration.
Simple design formulae to model the results for the H2 norm are proposed and positively verified through broad numerical experimentation which compared the seismic response of asymmetric systems to synthetic and real excitations for different design strategies in a plan-wise arrangement of supplemental damping.
An index of insulin resistance was calculated according to the homeostasis assessment model formula [ 36]: HOMA-IR=fasting insulin (μu/mL) × fasting glucose (mmol/L) ÷ 22.5.
Note that it is generally not possible to "work back", i.e. to deduce the assumptions underlying a given model formula.
