Immersed molecular electrokinetic finite element method for nano-devices in biotechnology and gene delivery

Wing Kam Liu, Adrian M. Kopacz, Tae Rin Lee, Hansung Kim, Paolo Decuzzi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

It has been demonstrated from recent research that modern uses of multiscale analysis, uncertainty quantification techniques, and validation experiments is essential for the design of nanodevices in biotechnology and medicine. The 3D immersed molecular electrokinetic finite element method (IMEFEM) will be presented for the modeling of micro fluidic electrokinetic assembly of nanowires, filaments and bio-molecules. This transformative bio-nanotechnology is being developed to enable gene delivery systems to achieve desired therapeutic effects and for the design and optimization of an electric field enabled nanotip DNA sensor. For the nanodiamond-based drug delivery device we will discuss the multiscale analysis, quantum and molecular mechanics, immersed molecular finite element and meshfree methods, uncertainty quantification, and validation experiments. In addition, we will describe the mathematical formulation of pH control interactions among chemically functionalized nanodiamonds, and their interactions with polymers. For the nanotip sensor, we will discuss the underlying mechanics and physical parameters influencing the bio-sensing efficiency, such as the threshold of applied electric field, biomolecule deformation, and nanoscale Brownian motion. Through multiscale analysis, we provide guidelines for nanodevice design, including fundamental mechanisms driving the system performance and optimization of distinct parameters.

Original languageEnglish (US)
Title of host publicationMeshfree Methods for Partial Differential Equations VI
Pages67-74
Number of pages8
DOIs
StatePublished - 2013
Event6th International Workshop on Meshfree Methods for Partial Differential Equations - Bonn, Germany
Duration: Oct 4 2011Oct 6 2011

Publication series

NameLecture Notes in Computational Science and Engineering
Volume89 LNCSE
ISSN (Print)1439-7358

Other

Other6th International Workshop on Meshfree Methods for Partial Differential Equations
Country/TerritoryGermany
CityBonn
Period10/4/1110/6/11

Keywords

  • IMEFEM
  • Nanodiamonds
  • Nanoparticles
  • Sensors

ASJC Scopus subject areas

  • Engineering(all)
  • Computational Mathematics
  • Modeling and Simulation
  • Control and Optimization
  • Discrete Mathematics and Combinatorics

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