The parameters used in this case were as described in the previous equation; however, the equilibration time, t eq was set to 1.5 × 1010 s, the laser frequency R rep at 100 kHz, the pulse dwell time D t calculated from the effective number of pulses, and finally, the focal area A foc was calculated from the theoretical minimum laser spot diameter.
Pulmonary uptake is equal to the pulmonary ventilation rate (QP) times the concentration of naphthalene in the personal breathing-zone (CPBZ): In Equation 1, rapid equilibration of naphthalene occurs across the alveolar lining, and neither storage nor metabolism in the lungs appreciably affects the uptake of naphthalene into the systemic circulation.
The differential equations for the fast intracompartmental equilibration, similar to eqs 35 in section, were integrated numerically.
Section " A simple example, the Michaelis-Menten reduction" showed that it is possible to iteratively reduce the equilibration problem to a linear system of equations for each possible pair of positive and negative dominating monomial.
Those equations also show that the whole equilibration process may be approximately described by dln|Δme,b/m∘|/dt= -k·mb2/(ma·wa), where "m" is the molality of the test solution, and "w" is the mass of the water, and "k" is the equilibration rate parameter, and "t" is the time, and the subscripts, "a" and "b" and "e", are the initial state and the end state and the equilibrium state, respectively.
Our tropical equilibration problem means solving a set of polynomial equations in this semi-field.
Based on an empirical equation of MgFe2O4 with the temperature of equilibration reported by Harrison and Putnis [47], the calculated T Curie is given as 549 and 576 K on the basis of our sintering temperature of 1200 and 900 °C, respectively: T Curie = 489.186 − 0.296T + 0.00009875T 2, where T is equilibration temperature.
Solving the tropical equilibration problem boils down to solving a system of equations in the min-plus algebra (also known as the tropical semiring).
Empirical equations were previously proposed to describe the water equilibration rates measured in the presence of three widely used crystallization agents and combining the various experimental parameters [7].
Sterile water in equilibration with laboratory air was used as a high calibration standard, using equation 1 with FiO2 set to 0.21.
