Physically consistent scar tissue dynamics from scattered set of data : a novel computational approach to avoid the onset of the runge phenomenon
Sergi, Pier Nicola (Sant'Anna School of Advanced Studies. The BioRobotics Institute and Department of Excellence in Robotics and Artificial Intelligence)
de la Oliva, Natalia (Universitat Autònoma de Barcelona. Institut de Neurociències)
Del Valle, Jaume (Universitat Autònoma de Barcelona. Institut de Neurociències)
Navarro, X. (Xavier) (Universitat Autònoma de Barcelona. Institut de Neurociències)
Micera, Silvestro (Translational Neural Engineering Laboratory. Ecole Polytechnique Federale de Laussane)

Date:	2021
Abstract:	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.
Grants:	European Commission 824071
Rights:	Aquest 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.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Neural implants ; Foreign body reaction ; Scar tissue ; Vandermonde matrix ; Lagrange polynomials ; Runge phenomenon
Published in:	Applied sciences (Basel), Vol. 11 Num. 18 (september 2021) , p. 8568, ISSN 2076-3417

DOI: 10.3390/app11188568

14 p, 836.7 KB

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