Probabilistic description of model set response in neuromuscular blockade

• Type: Article in International Conference Proceedings Book
• Date: 2014

Authors

Rocha, C (Author) FEP; Lemos, JM (Author) Other; Mendonca, TF (Author) FCUP; Silva, ME (Author) FEP

Conference proceedings International

Title: Advances in Intelligent Systems and Computing

Pages: 405-414

International Conference on Systems Science, ICSS 2013

10 September 2013 through 12 September 2013

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-00G-6VH

DOI: 10.1007/978-3-319-01857-7_39

Abstract (EN): This work addresses the problem of computing the time evolution of the probability density function (pdf) of the state in a nonlinear neuromuscular blockade (NMB) model, assuming that the source of uncertainty is the knowledge about one parameter. The NMB state is enlarged with the parameter, that verifies an equation given by its derivative being zero and has an initial condition described by a known pdf. By treating the resulting enlarged state-space model as a stochastic differential equation, the pdf of the state verifies a special case of the Fokker-Planck equation in which the second derivative terms vanish. This partial differential equation is solved with a numerical method based on Trotter’s formula for semigroup decomposition. The method is illustrated with results for a reduced complexity NMB model. A comparison of the predicted state pdf with clinical data for real patients is provided. © Springer International Publishing Switzerland 2014.

Language: English

Type (Professor's evaluation): Scientific