Death rate constant

The graphical presentation of the equation shows a straight line with a negative slope for kA. As the death rate constant follows Arrhenius law,1 the death rate constant is temperature dependent. The value of kA is about 0.02 min 1 at 100 °C, the death rate constant increases by 10-fold at 110 °C and 100-fold at 120 °C.2... 

The stationary phase can be represented by X = const, whereas the death phase can be modeled according to Eq. (8.7) with kd as the death rate constant lime 1 or upon integration based on Xma.. as the cell density after the stationary phase [Eqs. (8.8a) and (8.8b)]. 

A general schematic of these models is shown in Figure 22.4. Briefly, there are three main compartments in the model the target cells (T), the infected cells (I), and the virus (V). Target cells are synthesized by a zero-order rate (v), are infected with a de novo infection rate, pVT, or die with a death rate constant Ta (see Eq. (22.14)). Here is a second-order rate constant. Target cells are productively infected by the virus and these infected cells are eliminated with a flrst-order rate constant, S (see Eq. (22.15)). Productively infected cells release new virus with a first-order rate constant, p, and free virus particles are cleared with a rate constant c (see Eq. (22.16)). 

DEATH= 0.0001 /death rate constant of target cells (per hrs)... 

DELTA= THETA(l) + ETA(l) /infected cell death rate constant (per hrs) EFC= THETA(2) + ETA(2) /effectiveness of drug... 

Figure 5.79. Typical plot of sterilization kinetics with viable cells, according to Equ. 5.265 with varying temperature. Death rate constants can be estimated from the slope of the lines.

If X, > i, i.e. the birth rate constant is greater than the death rate constant, x is an exponentially increasing function of the time. If X. < p, jc decreases exponentially. For the case of X. = p... 

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