Cited by 62DNA and Biological ComputingError Correcting Code TechniquesAlgorithms and Data Compression

Information-Theoretic Foundations of DNA Data Storage

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Shomorony, Ilan, Heckel, Reinhard·2022·Foundations and Trends® in Communications and Information Theory

Abstract

Due to its longevity and enormous information density, DNA is an attractive medium for archival data storage. Natural DNA more than 700.000 years old has been recovered, and about 5 grams of DNA can in principle hold a Zetabyte of digital information, orders of magnitude more than what is achieved on conventional storage media. Thanks to rapid technological advances, DNA storage is becoming practically feasible, as demonstrated by a number of experimental storage systems, making it a promising solution for our society's increasing need of data storage. While in living things, DNA molecules can consist of millions of nucleotides, due to technological constraints, in practice, data is stored on many short DNA molecules, which are preserved in a DNA pool and cannot be spatially ordered. Moreover, imperfections in sequencing, synthesis, and handling, as well as DNA decay during storage, introduce random noise into the system, making the task of reliably storing and retrieving information in DNA challenging. This unique setup raises a natural information-theoretic question: how much information can be reliably stored on and reconstructed from millions of short noisy sequences? The goal of this monograph is to address this question by discussing the fundamental limits of storing information on DNA. Motivated by current technological constraints on DNA synthesis and sequencing, we propose a probabilistic channel model that captures three key distinctive aspects of the DNA storage systems: (1) the data is written onto many short DNA molecules that are stored in an unordered fashion; (2) the molecules are corrupted by noise and (3) the data is read by randomly sampling from the DNA pool. Our goal is to investigate the impact of each of these key aspects on the capacity of the DNA storage system. Rather than focusing on coding-theoretic considerations and computationally efficient encoding and decoding, we aim to build an information-theoretic foundation for the analysis of these channels, developing tools for achievability and converse arguments.

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  • The inner-outer coding scheme cannot correct large error rates dominated by insertions and deletions because no inner codes exist that work sufficiently well on short sequences in these noisy setups.

    “However, it cannot correct large error rates that are dominated by insertions and deletions. This is because no inner codes exist that work sufficiently well on short sequences in these noisy setups.92”

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  1. Song, 2020, Sequencesubset distance and coding for error control in dna-based data storage, IEEE Transactions on Information Theory, 66, 6048, 10.1109/tit.2020.3002611 · DOI

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Authors
Shomorony, I., & Heckel, R.
Affiliations
  • University of Illinois Urbana-Champaign (US)
  • Technical University of Munich (DE)
Venue
Foundations and Trends® in Communications and Information Theory
Publisher
Emerald
Published
2022-02-24
Volume
19
Issue
1
Pages
1-106
ISSN
  • 1567-2190 (ISSN-L)
  • 1567-2328
OpenAlex
W4213456065
Cited by
62
References
121
Citations by year
2026: 11 · 2025: 17 · 2024: 20 · 2023: 12 · 2022: 2
FWCI
4.17
Type
journal article
Language
en
Open access
Locations
  • Foundations and Trends® in Communications and Information Theory (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • National Science Foundation (2007597)
  • European Commission (964995)
  • Technische Universität München
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › DNA and Biological Computing
  • Physical Sciences › Computer Science › Computer Networks and Communications › Error Correcting Code Techniques
  • Physical Sciences › Computer Science › Artificial Intelligence › Algorithms and Data Compression
Keywords
DNA data storage, information-theoretic limits, channel capacity, random sampling, data archiving

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