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In the simulations, we assumed geese had full knowledge of the environment, i.e. the geese experienced the same conditions in the forward simulation for which the optimal decisions were calculated in the backward calculation.
The QRA is conducted as a backward calculation starting from a pre-defined acceptable risk level at the receptor point (defined as an annual infection risk of 10−4 for pathogens and by reference doses (RfD) for chemical hazards) and results in an estimate of the corresponding acceptable concentration levels of the given hazards in the effluent.
We have adapted the Stata package for flexible parametric survival models [ 15], to incorporate backward calculation of the splines and the constraint to force a constant cumulative excess hazard after the last knot.
Based on the estimated sales revenue expectations now go for backward calculation.
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The crystal nucleation and growth rate parameters are firstly estimated with the concentration and transmittance data using a mathematical model reported in our lab, and then the backward calculations with the help of the model parameters are successfully performed.
Backward calculations are then done to estimate the total number of Hib pneumonia and meningitis cases, which are based on estimated case-fatality rates for Hib pneumonia and meningitis.
Using backward calculations from urinary BPA concentrations detected in Japanese adults, worst-case scenario daily intakes for that population worst-case scenario.037–0.064 μg/kg BW/dailyor males and 0.043–0.075 μg/kg BW/day for females (Mintakes and Kotake 2006).
Moreover, a backward difference calculation is adopted in order to offset the effects of the parasitic capacitance.
At the lower level, based on the fuel loading pattern (LP) optimized by backward diffusion calculation theory, Pontryagin's maximum principle is employed to investigate the optimum arrangement of burnable poison (BP) that can generate the lowest radial power peaking factor (PPF).
In a preprocessing step, we compute for each activity j earliest finish times (EFT_j) and latest finish times (LFT_j) by standard forward and backward pass calculations, see, e.g., Demeulemeester and Herroelen (2006), p.
After straightforward calculation, backward Fokker- Planck equation corresponding to Eq. (27) can be expressed with the property of time homogeneous in the following form [ 29, 30] (38) ∂ t ρ (x, t ) = (f (x ) + ε D ′ (x ) ) ∂ x ρ (x, t ) + ε D (x ) ∂ x 2 ρ (x, t ).
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