Numerical simulations for modeling the insulin analogues using reduced order techniques

Author

Dimitriu, Gabriel ; Boiculese, Vasile Lucian ; Moscalu, Mihaela

Author_Institution

Dept. of Med. Inf. & Biostat., “Grigore T. Popa” Univ. of Med. & Pharmacy, Iasi, Romania

fYear

2013

fDate

21-23 Nov. 2013

Firstpage

1

Lastpage

4

Abstract

We present the numerical simulations of a system composed by three nonlinear partial differential equations modeling the subcutaneous injection of insulin analogues. The equations describe the interaction and dissociation of insulin analogues in the hexameric form into smaller entities, dimers and monomers. The numerical results of the full system are compared with those of the reduced order system determined by a hybrid technique (POD - Proper Orthogonal Decomposition, followed by DEIM - Discrete Empirical Interpolation Method).

Keywords

nonlinear differential equations; numerical analysis; partial differential equations; proteins; DEIM; POD; dimers; discrete empirical interpolation method; hexameric form; hybrid technique; insulin analog dissociation; insulin analog interaction; insulin analog modeling; monomers; nonlinear partial-differential equations; numerical simulations; proper orthogonal decomposition; reduced order techniques; subcutaneous injection; Approximation methods; Computational modeling; Numerical models; Vectors; discrete empirical interpolation method; insulin; proper orthogonal decomposition; reduced order model;

fLanguage

English

Publisher

ieee

Conference_Titel

E-Health and Bioengineering Conference (EHB), 2013

Conference_Location

Iasi

Print_ISBN

978-1-4799-2372-4

Type

conf

DOI

10.1109/EHB.2013.6707343

Filename

6707343