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Throughout the paper continuous random variable to be discretized is denoted by X while its discrete analogue by Y and with respect to discrete life time characteristics Kemp's (2004) convention is followed.
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A key step in accomplishing this goal has been the recognition that numerical stability of the discretized equations has required the use of nonconservative quantities as the fundamental dependent variables to be discretized.
Although discretization sacrifices some accuracy (analogous to round-off error), we choose the variable parameters to be discretized, sometimes quite coarsely, because the output of such a method might be ideal input for a local search method, such as Levenberg Marquardt or Steepest Descent, to refine afterwards, using a more precise simulation-based objective function.
Therefore, flux values need to be discretized into discrete variables in terms of probability.
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Equation (12) can be discretized along the space variable z by considering N slices of the biofilm with thickness (varDelta z), as illustrated in Fig. 2.
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