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Updated: May 21, 2026

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Published on: August 12, 2019
Length distribution of sequencing by synthesis: fixed flow cycle model
1Department of Molecular Biophysics and Biochemistry, W.M. Keck Foundation Biotechnology Resource Laboratory, Yale University, 333 Cedar Street, New Haven, CT 06510, USA. yong.kong@yale.edu
A new fixed flow cycle model provides probability distributions for DNA sequence length in next-generation sequencing. This model accurately captures probabilistic nucleotide incorporation, offering explicit formulas for mean and variance.
Area of Science:
- Molecular Biology
- Genomics
- Bioinformatics
Background:
- Sequencing by synthesis is a core technology for next-generation DNA sequencing.
- Existing models may not fully capture probabilistic and incomplete nucleotide incorporation seen in some advanced sequencing methods.
Purpose of the Study:
- To develop a novel mathematical model for deriving DNA sequence length distributions.
- To account for probabilistic and incomplete nucleotide incorporation during sequencing by synthesis.
Main Methods:
- Development of the fixed flow cycle model.
- Derivation of probability distributions for sequence length under general conditions.
- Derivation of explicit closed-form formulas for the mean and variance of the distribution.
Main Results:
- The fixed flow cycle model yields the probability distribution for sequence length.
- Explicit formulas for the mean and variance of the sequence length distribution were derived.
- The model is applicable under general conditions of probabilistic nucleotide incorporation.
Conclusions:
- The fixed flow cycle model offers a more comprehensive approach to understanding sequence length distributions in DNA sequencing.
- This model can improve the analysis of data from probabilistic and incomplete nucleotide incorporation sequencing technologies.
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