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PENETRATION OF SPHERICAL GOLD NANOPARTICLE INTO A LIPID BILAYER

Part of: Equilibrium (steady-state) problems General and miscellaneous specific topics

Published online by Cambridge University Press:  19 August 2015

D. BAOWAN
D. BAOWAN*
Affiliation:
Department of Mathematics, Faculty of Science, Mahidol University, Rama VI Rd., Thailand Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd., Bangkok 10400, Thailand email [email protected]
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Abstract

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Safety issues for the use of products containing nanoparticles need to be considered, since these nanoparticles may break through human skin to damage cells. In this paper, applied mathematical techniques are used to model the penetration of a spherical gold nanoparticle into an assumed circular hole in a lipid bilayer. The 6–12 Lennard-Jones potential is employed, and the total molecular interaction energy is obtained using the continuous approximation. Nanoparticles of three different radii, namely, 10, 15 and 20 Å, are studied, which are initiated at rest, confined to the axis of the hole. A similar behaviour for these three cases is observed. The critical hole radii at which these nanoparticles enter the bilayer are 12.65, 17.62 and 22.60 Å, respectively. Further, once the hole radii become larger than 20.79, 23.14 and 27.02 Å, respectively, the gold nanoparticles tend to remain at the mid-plane of the bilayer, and do not pass through the bilayer.

Keywords

gold nanoparticlesinteraction energyLennard-Jones potentiallipid bilayer

MSC classification

Primary: 74G65: Energy minimization
Secondary: 00A69: General applied mathematics
Type
Research Article
Information
The ANZIAM Journal , Volume 57 , Issue 1 , July 2015 , pp. 18 - 28
Copyright
© 2015 Australian Mathematical Society 

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