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Function-on-Function Kriging, With Applications to Three-Dimensional Printing of Aortic Tissues

Three-dimensional printed medical prototypes, which use synthetic metamaterials to mimic biological tissue, are becoming increasingly important in urgent surgical applications. However, the mimicking of tissue mechanical properties via three-dimensional printed metamaterial can be difficult and time-consuming, due to the functional nature of both inputs (metamaterial structure) and outputs (mechanical response curve). To deal with this, we propose a novel function-on-function kriging model for efficient emulation and tissue-mimicking optimization. For functional inputs, a key novelty of our model is the spectral-distance (SpeD) correlation function, which captures important spectral differences between two functional inputs. Dependencies for functional outputs are then modeled via a co-kriging framework. We further adopt shrinkage priors on both the input spectra and the output co-kriging covariance matrix, which allows the emulator to learn and incorporate important physics (e.g., dominant input frequencies, output curve properties). Finally, we demonstrate the effectiveness of the proposed SpeD emulator in a real-world study on mimicking human aortic tissue, and show that it can provide quicker and more accurate tissue-mimicking performance compared to existing methods in the medical literature.

Ketersediaan

Informasi Detail

Judul Seri

TECHNOMETRICS; Vol.63 No.3 August 2021

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 384 - 395

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

SPARSITY
GAUSSIAN PROCESS
METAMATERIAL
COMPUTER EXPERIMENT
TISSUE-MIMICKING
TRANSLATION-INVARIANCE

Info Detail Spesifik

https://doi.org/10.1080/00401706.2020.1801255

Pernyataan Tanggungjawab

Jialei Chen, Simon Mak, V. Roshan Joseph, Chuck Zhang

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