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Modeling Gene Expression via Caputo-Type Fractional-Order Calculus |
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PP: 463-480 |
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doi:10.18576/pfda/100311
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Author(s) |
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David Amilo,
Bilgen Kaymakamzade,
Evren Hincal,
Kamyar Hosseini,
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Abstract |
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| This study proposes a novel approach using fractional-order calculus to model gene expression dynamics, aiding the development of effective treatments for various diseases. Results show that our method can capture non-linear dynamics and provide insights into regulatory mechanisms, validated through numerical analysis. Sensitivity analysis revealed the most sensitive parameters and variables, such as the transcription rate constant, messenger ribonucleic acid (miRNA) concentration, and protein concentration. mRNA levels were found to be more sensitive to changes in alpha compared to protein levels due to direct effects on transcription and degradation processes. The reproduction number (R0) was found to be a constant value determined by the transcription and mRNA degradation rate constants, while the reproduction coefficient (R) decreases with increasing miRNA concentration due to the binding of miRNA to mRNA. Additionally, the point at which R crosses R0 represents a threshold for the regulation of gene expression. The study highlights the potential of fractional-order calculus in the field of gene expression modeling and provides a promising avenue for developing more effective treatments for various diseases.
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