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The challenge to date with PAT for pharmaceutical manufacturers is knowing how to start. A common problem is picking a complex process and getting mired in the challenge of collecting and analyzing the data. The following criteria serve as a basic framework for successful PAT roll-outs: (From A PAT Primer) Picking a simple process.
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This model does however still have a number of unknown free parameters which can be estimated using system identification. [5] [6] One example [7] uses the Monod saturation model for microbial growth. The model contains a simple hyperbolic relationship between substrate concentration and growth rate, but this can be justified by molecules ...
Process optimization is the discipline of adjusting a process so as to make the best or most effective use of some specified set of parameters without violating some constraint. Common goals are minimizing cost and maximizing throughput and/or efficiency. Process optimization is one of the major quantitative tools in industrial decision making.
Adaptive control is the control method used by a controller which must adapt to a controlled system with parameters which vary, or are initially uncertain. [1] [2] For example, as an aircraft flies, its mass will slowly decrease as a result of fuel consumption; a control law is needed that adapts itself to such changing conditions.
Estimation of signal parameters via rotational invariant techniques (ESPRIT), is a technique to determine the parameters of a mixture of sinusoids in background noise. This technique was first proposed for frequency estimation. [ 1 ]
Parametrization is a mathematical process consisting of expressing the state of a system, process or model as a function of some independent quantities called parameters. The state of the system is generally determined by a finite set of coordinates , and the parametrization thus consists of one function of several real variables for each ...
[1] [2] A critical feature of the technique is a middle step that breaks the problem into "solvable" and "perturbative" parts. [3] In regular perturbation theory, the solution is expressed as a power series in a small parameter . [1] [2] The first term is the known