On the Computation of Output Bounds for Compartmental In-Series Models under Parametric Uncertainty

Diego de Pereda, Sergio Romero-Vivó, Beatriz Ricarte, Jorge Bondia

Abstract


In this work, the problem of obtaining tight output bounds for compartmental in-series models under parametric uncertainty is addressed. It is well-known that current methods used to compute a solution envelope may produce a significant overestimation. However, monotonicity analysis enables us to estimate a tight solution envelope. Our main aim is to get an equivalent model to the initial one, which is usually non-monotone, by means of a suitable combination of equations. In this new model the system monotonicity with respect to the uncertain parameters depends on the elimination rate values of the original model. If the equivalent model is monotone, no overestimation occurs in the computation of the output bounds.

Keywords


Uncertainty; Parametric Uncertainty; Compartmental systems; Interval simulation; Monotonicity

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DOI: http://dx.doi.org/10.11145/j.biomath.2012.10.043

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ISSN 1314-7218 (online)
ISSN 1314-684X (print)

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