Abstract
In this paper we construct a mathematical model for DNA replication based on Shannon's mathematical theory for communication. We treat DNA replication as a communication channel. We show that the mean replication rate is maximal with four nucleotide bases under the primary assumption that the pairing time of the G–C bases is between 1.65 and 3 times the pairing time of the A–T bases.
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Crick, F.H.C., 1968. The origin of the genetic code. J. Mol. Biol. 38, 367–379.
Lee, D.H., Granja, J.R., Martinez, J.A., Severin, K., Ghadri, M.R., 1996. A self-replicating peptide. Nature 382, 525–528.
Morales, J.C., Kool, E.T., 1998. Efficient replication between non-hydrogen-bonded nucleoside shape analogs. Nat. Struct. Biol. 5, 950–954.
Patel, A.D., 2001. Quantum algorithms and the genetic code. Quantum Phys. Abstract, arXiv:quant-ph/0002037, v3, 6 Feb.
Poole, A.M., Jeffares, D.C., Penny, D., 1998. The path from the RNA world. J. Mol. Evol. 46, 1–17.
Reader, J.S., Joyce, G.F., 2002. A ribozyme composed of only two different nucleotides. Nature 420, 841–844.
Shannon, C.E (1948). A methematical theory of communication, Bell Syst. Tech. J. 27, 379–423, 623–656.
Uptain, S.M., Kane, C.M., Chamberlin, M.J., 1997. Basic mechanisms of transcript elongation and its regulation. Annu. Rev. Biochem. 66, 117–172.
Watson, J.D., Crick, F.H.C., 1953. Molecular structure of Nucleic Acids. Nature 171, 737–738.
Willians, R.J.P., Fraústo da Silva, J.J.R., 1996. The Natural Selection of the Chemical Elements. Clarendon Press, Oxford.
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Deng, B. Why is the Number of DNA Bases 4?. Bull. Math. Biol. 68, 727–733 (2006). https://doi.org/10.1007/s11538-005-9019-y
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DOI: https://doi.org/10.1007/s11538-005-9019-y