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. 1979 Oct;7(5):511-25.
doi: 10.1007/BF01062392.

Number of exponential terms describing the solution of an N-compartmental mammillary model: vanishing exponentials

D P Vaughan, M J Dennis

Number of exponential terms describing the solution of an N-compartmental mammillary model: vanishing exponentials

D P Vaughan et al. J Pharmacokinet Biopharm. 1979 Oct.

Abstract

The solution for a linear mammillary model is always described by a summation of m + 1 negative exponential terms with constant coefficients. m + 1 less than or equal to N, where N is the number of compartments in the model. m is equal to the number of distinct values for the peripheral Ej values. Use is made of matrix notation and the theorems of Browne concerning the eigenvalues of a matrix. The consequences of vanishing exponentials are derived, and in particular the apparent volume of distribution frequently calculated from experimental data is shown not to be unique.

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References

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