### Abstract

The influence of internal twisting motion of base-pair on conductance of an aperiodic DNA molecule has been studied. Double-stranded DNA molecule with sequence GCTAGTACGTGACGTAGCTAGGATATGCCTGA on one chain and its complement on the other chain is used. The molecule is modeled using Hamiltonian Tight Binding, in which the effect of twisting motion on base onsite energy and between bases electron hopping constant was taking into account. Semi-empirical theory of Slater-Koster is employed in bringing the twisting motion effect on the hopping constants. In addition to the ability to hop from one base to other base, electron can also hop from a base to sugar-phosphate backbone and vice versa. The current flowing through DNA molecule is calculated using Landauer-Büttiker formula from transmission probability, which is calculated using transfer matrix technique and scattering matrix method, simultaneously. Then, the differential conductance is calculated from the I-V curve. The calculation result shows at some region of voltages, the conductance increases as the frequency increases, but in other region it decreases with the frequency.

Original language | English |
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Title of host publication | International Symposium on Current Progress in Mathematics and Sciences 2015, ISCPMS 2015 |

Subtitle of host publication | Proceedings of the 1st International Symposium on Current Progress in Mathematics and Sciences |

Editors | Terry Mart, Djoko Triyono |

Publisher | American Institute of Physics Inc. |

ISBN (Electronic) | 9780735413764 |

DOIs | |

Publication status | Published - 19 Apr 2016 |

Event | 1st International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2015 - Depok, Indonesia Duration: 3 Nov 2015 → 4 Nov 2015 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 1729 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Conference

Conference | 1st International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2015 |
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Country | Indonesia |

City | Depok |

Period | 3/11/15 → 4/11/15 |

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## Cite this

*International Symposium on Current Progress in Mathematics and Sciences 2015, ISCPMS 2015: Proceedings of the 1st International Symposium on Current Progress in Mathematics and Sciences*[020033] (AIP Conference Proceedings; Vol. 1729). American Institute of Physics Inc.. https://doi.org/10.1063/1.4946936