Interaction of double-strand DNA inside single-walled carbon nanotubes
Deoxyribonucleic acid (DNA) is the genetic material for all living organisms, and as a
nanostructure offers the means to create novel nanoscale devices. In this chapter, we
investigate the interaction of deoxyribonucleic acid inside single-walled carbon nan
otubes. Using classical applied mathematical modeling, we derive explicit analytical
expressions for the encapsulation of DNA inside single-walled carbon nanotubes. We
adopt the 6-12 Lennard-Jones potential function together with the continuous ap
proach to determine the preferred minimum energy position of the dsDNA molecule
inside a single-walled carbon nanotube, so as to predict its location with reference
to the cross-section of the carbon nanotube. An analytical expression is obtained
in terms of hypergeometric functions which provides a computationally rapid pro
cedure to determine critical numerical values. We observe that the double-strand
DNA can be encapsulated inside a single-walled carbon nanotube with a radius larger than 12.30 ˚A, and we show that the optimal single-walled carbon nanotube to enclose a double-stranded DNA has radius 12.8 ˚ A.
Nanoparticles have considerable promise for many applications in electronics, energy storage, bioscience and biotechnologies.
Fullerenes have attracted considerable attention in various areas of science and tech
nology. Owing to their exceptional physical, chemical, and biological properties,
they have many…
Here we use classical applied mathematical modeling to determine surface bind
ing energies between single-strand and double-strand DNA molecules interacting
with a graphene sheet. We…