Direct system synthesis by means of computers

A formal approach to the routine analysis of kinetic data in terms of linear compartmental systems is presented. The methods of analysis are general in that they include much of the theory in common use, such as direct solution of differential equations, integral equations, transfer functions, fitting of data to sums of exponentials, matrix solutions, etc. The key to the formalism presented lies in the fact that a basic operational unit-called "compartment"-has been defined, in terms of which physical and mathematical models as well as input and output functions can be expressed. Additional features for calculating linear combinations of functions and for setting linear dependence relations between parameters add to the versatility of this method. The actual computations for the values of model parameters to yield a least squares fit of the data are performed on a digital computer. A general computer program was developed that permits the routine fitting of data and the evolution of models.

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“…These disadvantages, however, are not inherent in the analog computer and some efforts to overcome them have been made (20).…”

Section: Discussionmentioning

confidence: 99%

“…. , n) generates an exponential e->tit (a constant is generated by a compartment having a AN = 0), and each summer (n+1) to r represents a best linear combination ('"+;,) of the same exponentials to fit each of the available sets2 of data: [20] n qn+j(t) =…”

Section: Solution Of Modelsmentioning

confidence: 99%