Ecole d'ingénieur et centre de recherche en Sciences du numérique

Inference in a partial differential equations model of pulmonary arterial and venous blood circulation using statistical emulation

Noè, Umberto; Chen, Weiwei; Filippone, Maurizio; Hill, Nicholas; Husmeier, Dirk

CIBB 2016, 13th International Meeting on Computational Intelligence Methods for Bioinformatics and Biostatistics, 1-3 September 2016, Stirling, UK / Also in LNCS, Vol.10477

The present article addresses the problem of inference in a multiscale computational model of pulmonary arterial and venous blood circulation. The model is a computationally expensive simulator which, given specific parameter values, solves a system of nonlinear partial differential equations and returns predicted pressure and flow values at different locations in the arterial and venous blood vessels. The standard approach in parameter calibration for computer code is to emulate the simulator using a Gaussian Process prior. In the present work, we take a different approach and emulate the objective function itself, i.e. the residual sum of squares between the simulations and the observed data. The Efficient Global Optimization (EGO) algorithm [2] is used to minimize the residual sum of squares. A generalization of the EGO algorithm that can handle hidden constraints is described. We demonstrate that this modified emulator achieves a reduction in the computational costs of inference by two orders of magnitude.

Doi Bibtex

Titre:Inference in a partial differential equations model of pulmonary arterial and venous blood circulation using statistical emulation
Type:Conférence
Langue:English
Ville:Stirling
Pays:ROYAUME-UNI
Date:
Département:Data Science
Eurecom ref:5354
Copyright: © Springer. Personal use of this material is permitted. The definitive version of this paper was published in CIBB 2016, 13th International Meeting on Computational Intelligence Methods for Bioinformatics and Biostatistics, 1-3 September 2016, Stirling, UK / Also in LNCS, Vol.10477 and is available at : http://doi.org/10.1007/978-3-319-67834-4_15
Bibtex: @inproceedings{EURECOM+5354, doi = {http://doi.org/10.1007/978-3-319-67834-4_15}, year = {2016}, title = {{I}nference in a partial differential equations model of pulmonary arterial and venous blood circulation using statistical emulation}, author = {{N}o{\`e}, {U}mberto and {C}hen, {W}eiwei and {F}ilippone, {M}aurizio and {H}ill, {N}icholas and {H}usmeier, {D}irk}, booktitle = {{CIBB} 2016, 13th {I}nternational {M}eeting on {C}omputational {I}ntelligence {M}ethods for {B}ioinformatics and {B}iostatistics, 1-3 {S}eptember 2016, {S}tirling, {UK} / {A}lso in {LNCS}, {V}ol.10477}, address = {{S}tirling, {ROYAUME}-{UNI}}, month = {09}, url = {http://www.eurecom.fr/publication/5354} }
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