Physically consistent scar tissue dynamics from scattered set of data

The foreign body reaction is a complex biological process leading to the insulation of implanted artificial materials through a capsule of scar tissue. In particular, in chronic implanta-tions of neural electrodes, the prediction of the scar tissue evolution is crucial to assess the implant reliabil...

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Authors: Sergi, Pier Nicola|||0000-0002-7872-1591, de la Oliva, Natalia|||0000-0002-1263-2705, Del Valle, Jaume|||0000-0002-6703-8244, Navarro, X. (Xavier)|||0000-0001-9849-902X, Micera, Silvestro|||0000-0003-4396-8217
Format: article
Publication Date:2021
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:251488
Online Access:https://ddd.uab.cat/record/251488
https://dx.doi.org/urn:doi:10.3390/app11188568
Access Level:Open access
Keyword:Neural implants
Foreign body reaction
Scar tissue
Vandermonde matrix
Lagrange polynomials
Runge phenomenon
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spelling Physically consistent scar tissue dynamics from scattered set of dataa novel computational approach to avoid the onset of the runge phenomenonSergi, Pier Nicola|||0000-0002-7872-1591de la Oliva, Natalia|||0000-0002-1263-2705Del Valle, Jaume|||0000-0002-6703-8244Navarro, X. (Xavier)|||0000-0001-9849-902XMicera, Silvestro|||0000-0003-4396-8217Neural implantsForeign body reactionScar tissueVandermonde matrixLagrange polynomialsRunge phenomenonThe foreign body reaction is a complex biological process leading to the insulation of implanted artificial materials through a capsule of scar tissue. In particular, in chronic implanta-tions of neural electrodes, the prediction of the scar tissue evolution is crucial to assess the implant reliability over time. Indeed, the capsule behaves like an increasing insulating barrier between electrodes and nerve fibers. However, no explicit and physically based rules are available to com-putationally reproduce the capsule evolution. In addition, standard approaches to this problem (i.e., Vandermonde-based and Lagrange interpolation) fail for the onset of the Runge phenomenon. More specifically, numerical oscillations arise, thus standard procedures are only able to reproduce experimental detections while they result in non physical values for inter-interval times (i.e., times before and after experimental detections). As a consequence, in this work, a novel framework is described to model the evolution of the scar tissue thickness, avoiding the onset of the Runge phe-nomenon. This approach is able to provide novel approximating functions correctly reproducing experimental data (R ≃ 0.92) and effectively predicting inter-interval detections. In this way, the overall performances of previous approaches, based on phenomenological fitting polynomials of low degree, are improved. 22021-01-0120212021-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/251488https://dx.doi.org/urn:doi:10.3390/app11188568reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengEuropean Commission https://doi.org/10.13039/501100000780 824071open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2514882026-06-06T12:50:31Z
dc.title.none.fl_str_mv Physically consistent scar tissue dynamics from scattered set of data
a novel computational approach to avoid the onset of the runge phenomenon
title Physically consistent scar tissue dynamics from scattered set of data
spellingShingle Physically consistent scar tissue dynamics from scattered set of data
Sergi, Pier Nicola|||0000-0002-7872-1591
Neural implants
Foreign body reaction
Scar tissue
Vandermonde matrix
Lagrange polynomials
Runge phenomenon
title_short Physically consistent scar tissue dynamics from scattered set of data
title_full Physically consistent scar tissue dynamics from scattered set of data
title_fullStr Physically consistent scar tissue dynamics from scattered set of data
title_full_unstemmed Physically consistent scar tissue dynamics from scattered set of data
title_sort Physically consistent scar tissue dynamics from scattered set of data
dc.creator.none.fl_str_mv Sergi, Pier Nicola|||0000-0002-7872-1591
de la Oliva, Natalia|||0000-0002-1263-2705
Del Valle, Jaume|||0000-0002-6703-8244
Navarro, X. (Xavier)|||0000-0001-9849-902X
Micera, Silvestro|||0000-0003-4396-8217
author Sergi, Pier Nicola|||0000-0002-7872-1591
author_facet Sergi, Pier Nicola|||0000-0002-7872-1591
de la Oliva, Natalia|||0000-0002-1263-2705
Del Valle, Jaume|||0000-0002-6703-8244
Navarro, X. (Xavier)|||0000-0001-9849-902X
Micera, Silvestro|||0000-0003-4396-8217
author_role author
author2 de la Oliva, Natalia|||0000-0002-1263-2705
Del Valle, Jaume|||0000-0002-6703-8244
Navarro, X. (Xavier)|||0000-0001-9849-902X
Micera, Silvestro|||0000-0003-4396-8217
author2_role author
author
author
author
dc.subject.none.fl_str_mv Neural implants
Foreign body reaction
Scar tissue
Vandermonde matrix
Lagrange polynomials
Runge phenomenon
topic Neural implants
Foreign body reaction
Scar tissue
Vandermonde matrix
Lagrange polynomials
Runge phenomenon
description The foreign body reaction is a complex biological process leading to the insulation of implanted artificial materials through a capsule of scar tissue. In particular, in chronic implanta-tions of neural electrodes, the prediction of the scar tissue evolution is crucial to assess the implant reliability over time. Indeed, the capsule behaves like an increasing insulating barrier between electrodes and nerve fibers. However, no explicit and physically based rules are available to com-putationally reproduce the capsule evolution. In addition, standard approaches to this problem (i.e., Vandermonde-based and Lagrange interpolation) fail for the onset of the Runge phenomenon. More specifically, numerical oscillations arise, thus standard procedures are only able to reproduce experimental detections while they result in non physical values for inter-interval times (i.e., times before and after experimental detections). As a consequence, in this work, a novel framework is described to model the evolution of the scar tissue thickness, avoiding the onset of the Runge phe-nomenon. This approach is able to provide novel approximating functions correctly reproducing experimental data (R ≃ 0.92) and effectively predicting inter-interval detections. In this way, the overall performances of previous approaches, based on phenomenological fitting polynomials of low degree, are improved.
publishDate 2021
dc.date.none.fl_str_mv 2
2021-01-01
2021
2021-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/251488
https://dx.doi.org/urn:doi:10.3390/app11188568
url https://ddd.uab.cat/record/251488
https://dx.doi.org/urn:doi:10.3390/app11188568
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv European Commission https://doi.org/10.13039/501100000780 824071
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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