Computational modeling and simulation of complex systems in bio-electronics

Joseph W. Jerome; Bice Chini; Massimo Longaretti; Riccardo Sacco

doi:10.1007/s10825-008-0202-x

Computational modeling and simulation of complex systems in bio-electronics

Joseph W. Jerome, Bice Chini, Massimo Longaretti, Riccardo Sacco^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

In this article, we discuss the mathematical and computational framework required to develop a general-purpose simulation tool for bio-electronic applications. Electrochemical and fluid-mechanical transport of substances, chemical reactions and electrical transduction of biological signals are described through the coupled use of systems of partial and ordinary differential equations (PDEs and ODEs). Functional iteration techniques for system decoupling and mixed-hybridized finite element discretization methods are proposed and validated in the simulation of realistic problems in Electrophysiology and Biochemistry.

Original language	English (US)
Pages (from-to)	10-13
Number of pages	4
Journal	Journal of Computational Electronics
Volume	7
Issue number	1
DOIs	https://doi.org/10.1007/s10825-008-0202-x
State	Published - Mar 2008

Keywords

Electrophysiology
Hybrid bio-artificial systems
Ionic channels
Ionic-electrical coupling
Mathematical modeling
Nanotechnology
Numerical simulation

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Modeling and Simulation
Electrical and Electronic Engineering

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10.1007/s10825-008-0202-x

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title = "Computational modeling and simulation of complex systems in bio-electronics",

abstract = "In this article, we discuss the mathematical and computational framework required to develop a general-purpose simulation tool for bio-electronic applications. Electrochemical and fluid-mechanical transport of substances, chemical reactions and electrical transduction of biological signals are described through the coupled use of systems of partial and ordinary differential equations (PDEs and ODEs). Functional iteration techniques for system decoupling and mixed-hybridized finite element discretization methods are proposed and validated in the simulation of realistic problems in Electrophysiology and Biochemistry.",

keywords = "Electrophysiology, Hybrid bio-artificial systems, Ionic channels, Ionic-electrical coupling, Mathematical modeling, Nanotechnology, Numerical simulation",

author = "Jerome, {Joseph W.} and Bice Chini and Massimo Longaretti and Riccardo Sacco",

note = "Funding Information: Acknowledgements The first author was supported by the ONR/ Darpa contract nr. LLCN00014-05-C-0241. The third author was supported by the Project Grant “ Modelli Computazionali in Nano-Bio-Elettronica”, Politecnico di Milano. The fourth author was supported by the M.U.R.S.T. grant nr. 2006013187-003 (2006–2008).",

year = "2008",

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doi = "10.1007/s10825-008-0202-x",

language = "English (US)",

volume = "7",

pages = "10--13",

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AU - Jerome, Joseph W.

AU - Chini, Bice

AU - Longaretti, Massimo

AU - Sacco, Riccardo

N1 - Funding Information: Acknowledgements The first author was supported by the ONR/ Darpa contract nr. LLCN00014-05-C-0241. The third author was supported by the Project Grant “ Modelli Computazionali in Nano-Bio-Elettronica”, Politecnico di Milano. The fourth author was supported by the M.U.R.S.T. grant nr. 2006013187-003 (2006–2008).

PY - 2008/3

Y1 - 2008/3

N2 - In this article, we discuss the mathematical and computational framework required to develop a general-purpose simulation tool for bio-electronic applications. Electrochemical and fluid-mechanical transport of substances, chemical reactions and electrical transduction of biological signals are described through the coupled use of systems of partial and ordinary differential equations (PDEs and ODEs). Functional iteration techniques for system decoupling and mixed-hybridized finite element discretization methods are proposed and validated in the simulation of realistic problems in Electrophysiology and Biochemistry.

AB - In this article, we discuss the mathematical and computational framework required to develop a general-purpose simulation tool for bio-electronic applications. Electrochemical and fluid-mechanical transport of substances, chemical reactions and electrical transduction of biological signals are described through the coupled use of systems of partial and ordinary differential equations (PDEs and ODEs). Functional iteration techniques for system decoupling and mixed-hybridized finite element discretization methods are proposed and validated in the simulation of realistic problems in Electrophysiology and Biochemistry.

KW - Electrophysiology

KW - Hybrid bio-artificial systems

KW - Ionic channels

KW - Ionic-electrical coupling

KW - Mathematical modeling

KW - Nanotechnology

KW - Numerical simulation

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Computational modeling and simulation of complex systems in bio-electronics

Abstract

Keywords

ASJC Scopus subject areas

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