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DISTING: A web application for fast algorithmic computation of alternative indistinguishable linear compartmental models.

Abstract：

BACKGROUND AND OBJECTIVES:We describe and illustrate use of DISTING, a novel web application for computing alternative structurally identifiable linear compartmental models that are input-output indistinguishable from a postulated linear compartmental model. Several computer packages are available for analysing the structural identifiability of such models, but DISTING is the first to be made available for assessing indistinguishability. METHODS:The computational algorithms embedded in DISTING are based on advanced versions of established geometric and algebraic properties of linear compartmental models, embedded in a user-friendly graphic model user interface. Novel computational tools greatly speed up the overall procedure. These include algorithms for Jacobian matrix reduction, submatrix rank reduction, and parallelization of candidate rank computations in symbolic matrix analysis. RESULTS:The application of DISTING to three postulated models with respectively two, three and four compartments is given. The 2-compartment example is used to illustrate the indistinguishability problem; the original (unidentifiable) model is found to have two structurally identifiable models that are indistinguishable from it. The 3-compartment example has three structurally identifiable indistinguishable models. It is found from DISTING that the four-compartment example has five structurally identifiable models indistinguishable from the original postulated model. This example shows that care is needed when dealing with models that have two or more compartments which are neither perturbed nor observed, because the numbering of these compartments may be arbitrary. CONCLUSIONS:DISTING is universally and freely available via the Internet. It is easy to use and circumvents tedious and complicated algebraic analysis previously done by hand.

journal_name

Comput Methods Programs Biomed

journal_title

Computer methods and programs in biomedicine

authors

Davidson NR,Godfrey KR,Alquaddoomi F,Nola D,DiStefano JJ 3rd

doi

10.1016/j.cmpb.2017.02.025

subject

Has Abstract

pub_date

2017-05-01 00:00:00

pages

129-135

eissn

0169-2607

issn

1872-7565

pii

S0169-2607(17)30201-8

journal_volume

143

pub_type

杂志文章

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