Quantitative Biology


Studies on Protein Synthesis Within a Theoretical Model

Authors: Tumpa Saha, Biplab Chattopadhyay

Synthesis of proteins through the phenomenological pathway of transcription and translation, that constitutes the central dogma, has been explored theoretically. Emphasizing the closed-cycle character of the phenomenon, a prototype of the same is framed in mathematical terms with the biological inputs from allied literature. The mathematical prototype is actually a set of three coupled time differential equations signifying time rate of change of DNA, RNA and protein densities occurring in the biological cells of eukaryotes. The prototype has been scrutinized by well-set mathematical tools in regard of its sustainability under detailed stability tests. To judge exact behavioural pattern of the prototype solutions, rigorous numerical simulations of the time differential equations are carried out. Analyses of numerical simulation results with various changing parameters lead to predictive conclusions about different regulatory mechanisms existing in the protein synthesis phenomenology. Some future research directions are indicated too.

Comments: 11 pages, 3 figures, published in IOSR Journal Of Pharmacy And Biological Sciences (IOSR-JPBS), Volume 14, Issue 5 Ser. II (2019), PP. 10-20

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[v1] 2020-01-09 10:54:09

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