Abstract
The entries of the negative inverse of an n×n compartmental matrix A have an important physical interpretation — namely that of „mean residence times.— For this section, we use the open compartmental model given by \( {\dot x = Ax,t \geq 0,} \) where A is invertible. Moreover, we suppose there is a bolus input of tracer at time zero so that x(0) = x0 ≠ 0.
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© 1983 Springer-Verlag Berlin Heidelberg
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Anderson, D.H. (1983). Mean Times and the Inverse Matrix. In: Compartmental Modeling and Tracer Kinetics. Lecture Notes in Biomathematics, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51861-4_14
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DOI: https://doi.org/10.1007/978-3-642-51861-4_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12303-3
Online ISBN: 978-3-642-51861-4
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