Fractional Order Analysis of the Activator Model for Gene Regulation Process

Hisham Hussein, Shaimaa Kandil, Khadeeja Amr

Abstract

Mathematical modeling for gene regulation process is very important for future prediction and control of diseases on the hereditary level. This paper presents a complete fractional dynamical analysis for an activator gene regulation model. The study of the system's phase planes portraits and the variables' transient responses starting from different initial points are presented and discussed. The effect of the fractional parameter within the differential operator is investigated. The simulation results show that the fractional parameter (𝛼) is effective in the process of synthesizing proteins and the gene regulation process stability.

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in Harvard Style

Hussein H., Kandil S. and Amr K. (2020). Fractional Order Analysis of the Activator Model for Gene Regulation Process.In Proceedings of the 13th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 4: BIOSIGNALS, ISBN 978-989-758-398-8, pages 296-300. DOI: 10.5220/0009149402960300


in Bibtex Style

@conference{biosignals20,
author={Hisham Hussein and Shaimaa Kandil and Khadeeja Amr},
title={Fractional Order Analysis of the Activator Model for Gene Regulation Process},
booktitle={Proceedings of the 13th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 4: BIOSIGNALS,},
year={2020},
pages={296-300},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009149402960300},
isbn={978-989-758-398-8},
}


in EndNote Style

TY - CONF

JO - Proceedings of the 13th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 4: BIOSIGNALS,
TI - Fractional Order Analysis of the Activator Model for Gene Regulation Process
SN - 978-989-758-398-8
AU - Hussein H.
AU - Kandil S.
AU - Amr K.
PY - 2020
SP - 296
EP - 300
DO - 10.5220/0009149402960300