Convolution of input and disposition

To obtain a complete drug concentration profile, both the input and disposition kinetics must be known or assumed. If the input is an intravenous bolus, zero or first order, and disposition is first order, then the input and disposition can be combined mathematically through the convolution operation, represented by the symbol. Mathematically, this is represented as 

If we know input(f) and Cp(t), we can extract disposition ). The easiest way to accomplish this deconvolution (extraction) is to give an intravenous bolus dose and measure Cp(t), which will exactly mirror the underlying disposition ). Once disposition ) is known (and assumed not to change for the same drug), Cp(t) can be predicted for any input(t), or 

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