Informational laws of genome structures
Open accessAbstract
In recent years, the analysis of genomes by means of strings of length k occurring in the genomes, called k-mers, has provided important insights into the basic mechanisms and design principles of genome structures. In the present study, we focus on the proper choice of the value of k for applying information theoretic concepts that express intrinsic aspects of genomes. The value k = lg 2(n), where n is the genome length, is determined to be the best choice in the definition of some genomic informational indexes that are studied and computed for seventy genomes. These indexes, which are based on information entropies and on suitable comparisons with random genomes, suggest five informational laws, to which all of the considered genomes obey. Moreover, an informational genome complexity measure is proposed, which is a generalized logistic map that balances entropic and anti-entropic components of genomes and is related to their evolutionary dynamics. Finally, applications to computational synthetic biology are briefly outlined.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486 · see citing works
A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb00917.x · Cited by 49,574 · see citing works
On Information and Sufficiency
Kullback, S., & Leibler, R. A. (1951) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729694 · Cited by 20,193 · see citing works
Approximate entropy as a measure of system complexity.
Pincus, S. M. (1991) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.88.6.2297 · Cited by 5,811 · see citing works
Cybernetics or Control and Communication in the Animal and the Machine
Wiener, N. (2019) · The MIT Press eBooks · doi:10.7551/mitpress/11810.001.0001 · Cited by 5,045 · see citing works
The Art of Computer Programming. Volume 2: Seminumerical Algorithms.
Taussky, O., & Knuth, D. E. (1970) · American Mathematical Monthly · doi:10.2307/2317055 · Cited by 3,863 · see citing works
An Introduction to Probability Theory.
Fristedt, B. E., & Moran, P. A. P. (1986) · Journal of the American Statistical Association · doi:10.2307/2288022 · Cited by 3,358 · see citing works
The Boltzmann Equation and Its Applications
Cercignani, C. (1988) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-1039-9 · Cited by 3,130 · see citing works
Holland, J. H. (1998) · doi:10.1093/oso/9780198504092.001.0001 · Cited by 2,422 · see citing works
Rozenberg, G., & Salomaa, A. K. (1997) · Springer eBooks · doi:10.1007/978-3-642-59126-6 · Cited by 1,960 · see citing works
The origins of genome complexity
Lynch, M., & Conery, J. S. (2003) · Science · doi:10.1126/science.1089370 · Cited by 1,698 · see citing works
Design and synthesis of a minimal bacterial genome
Hutchison, C. A., Chuang, R.-Y., Noskov, V. N., Assad-Garcia, N., Deerinck, T. J., Ellisman, M. H., Gill, J., Kannan, K., Karas, B. J., Ma, L., et al. (2016) · Science · doi:10.1126/science.aad6253 · Cited by 1,500 · see citing works
Federhen, S. (2012) · Nucleic Acids Research · doi:10.1093/nar/gkr1178 · Cited by 1,436 · see citing works
Replacing suffix trees with enhanced suffix arrays
Abouelhoda, M. I., Kurtz, S., & Ohlebusch, E. (2004) · Journal of Discrete Algorithms · doi:10.1016/s1570-8667(03)00065-0 · Cited by 676 · see citing works
Head, T. (1987) · Bulletin of Mathematical Biology · doi:10.1007/bf02481771 · Cited by 582 · see citing works
The Negentropy Principle of Information
Brillouin, L. (1953) · Journal of Applied Physics · doi:10.1063/1.1721463 · Cited by 366 · see citing works
Genomic DNA k-mer spectra: models and modalities
Chor, B., Horn, D., Goldman, N., Levy, Y., & Massingham, T. (2009) · Genome Biology · doi:10.1186/gb-2009-10-10-r108 · Cited by 274 · see citing works
Kurtz, S., Narechania, A., Stein, J. C., & Ware, D. (2008) · BMC Genomics · doi:10.1186/1471-2164-9-517 · Cited by 264 · see citing works
Genome signature comparisons among prokaryote, plasmid, and mitochondrial DNA
Campbell, A., Mrázek, J., & Karlin, S. (1999) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.96.16.9184 · Cited by 249 · see citing works
Head, T. (1987) · Bulletin of Mathematical Biology · doi:10.1016/s0092-8240(87)90018-8 · Cited by 193 · see citing works
Dębowski, Ł. (2020) · doi:10.1002/9781119625384.ch5 · Cited by 191 · see citing works
Information theory applications for biological sequence analysis
Vinga, S. (2013) · Briefings in Bioinformatics · doi:10.1093/bib/bbt068 · Cited by 143 · see citing works
Information Content of Protein Sequences
Weiss, O., Jiménez-Montaño, M. A., & Herzel, H. (2000) · Journal of Theoretical Biology · doi:10.1006/jtbi.2000.2138 · Cited by 125 · see citing works
A new ensemble coevolution system for detecting HIV-1 protein coevolution
Li, G., Theys, K., Verheyen, J., Pineda-Peña, A.-C., Khouri, R., Piampongsant, S., Eusébio, M., Ramon, J., & Vandamme, A. (2015) · Biology Direct · doi:10.1186/s13062-014-0031-8 · Cited by 109 · see citing works
Volkenstein, M. V. (2009) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0346-0078-1 · Cited by 103 · see citing works
On grammars, complexity, and information measures of biological macromolecules
Ebeling, W., & Jiménez-Montaño, M. A. (1980) · Mathematical Biosciences · doi:10.1016/0025-5564(80)90004-8 · Cited by 93 · see citing works
How independent are the appearances of n-mers in different genomes?
Fofanov, Y., Luo, Y., Katili, C., Wang, J. J., Belosludtsev, Y. Y., Powdrill, T. F., Belapurkar, C., Fofanov, V. Y., Li, T.-B., Chumakov, S. M., et al. (2004) · Bioinformatics · doi:10.1093/bioinformatics/bth266 · Cited by 92 · see citing works
K-mer natural vector and its application to the phylogenetic analysis of genetic sequences
Wen, J., Chan, R. H.-F., Yau, S.-C., He, R. L., & Yau, S. S. ‐. (2014) · Gene · doi:10.1016/j.gene.2014.05.043 · Cited by 79 · see citing works
The information content of DNA. II
Gatlin, L. L. (1968) · Journal of Theoretical Biology · doi:10.1016/0022-5193(68)90160-4 · Cited by 78 · see citing works
The information content of DNA
Gatlin, L. L. (1966) · Journal of Theoretical Biology · doi:10.1016/0022-5193(66)90127-5 · Cited by 74 · see citing works
Conrad, M. (1990) · Computerkultur · doi:10.1007/978-3-7091-6597-3_11 · Cited by 71 · see citing works
Topological entropy of DNA sequences
Koslicki, D. (2011) · Bioinformatics · doi:10.1093/bioinformatics/btr077 · Cited by 70 · see citing works
Statistical analysis of the DNA sequence of human chromosome 22
Holste, D., Große, I., & Herzel, H. (2001) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.64.041917 · Cited by 59 · see citing works
MIC: Mutual Information Based Hierarchical Clustering
Kraskov, A., & Grassberger, P. (2008) · Information Theory and Statistical Learning · doi:10.1007/978-0-387-84816-7_5 · Cited by 54 · see citing works
Manca, V. (2013) · Emergence, complexity and computation · doi:10.1007/978-3-642-36223-1 · Cited by 41 · see citing works
Self-citationLocal Renyi entropic profiles of DNA sequences
Vinga, S., & Almeida, J. S. (2007) · BMC Bioinformatics · doi:10.1186/1471-2105-8-393 · Cited by 39 · see citing works
Zones of low entropy in genomic sequences
Crochemore, M., & Vérin, R. (1999) · Computers & Chemistry · doi:10.1016/s0097-8485(99)00009-1 · Cited by 32 · see citing works
A dictionary based informational genome analysis
Castellini, A., Franco, G., & Manca, V. (2012) · BMC Genomics · doi:10.1186/1471-2164-13-485 · Cited by 26 · see citing works
Self-citationThe calculation of information and organismal complexity
Jiang, Y., & Xu, C. (2010) · Biology Direct · doi:10.1186/1745-6150-5-59 · Cited by 22 · see citing works
Rare k-mer DNA: Identification of sequence motifs and prediction of CpG island and promoter
Hashim, E. K. M., & Abdullah, R. (2015) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2015.09.014 · Cited by 22 · see citing works
Computing by polymerase chain reaction
Manca, V., & Franco, G. (2007) · Mathematical Biosciences · doi:10.1016/j.mbs.2007.08.010 · Cited by 19 · see citing works
Self-citationQuantitative measure of randomness and order for complete genomes
Kong, S.-G., Fan, W., Chen, H.-D., Wigger, J., Torda, A. E., & Lee, H. C. (2009) · Physical Review E · doi:10.1103/physreve.79.061911 · Cited by 10 · see citing works
Recurrence Distance Distributions in Computational Genomics
Bonnici, V., & Manca, V. (2015) · American Journal of Bioinformatics and Computational Biology · doi:10.7726/ajbcb.2015.1002 · Cited by 9 · see citing works
Self-citationMolecules, Languages and Automata
Searls, D. B. (2010) · Lecture notes in computer science · doi:10.1007/978-3-642-15488-1_2 · Cited by 8 · see citing works
KGCAK: a K-mer based database for genome-wide phylogeny and complexity evaluation
Wang, D., Xu, J., & Yu, J. M. (2015) · Biology Direct · doi:10.1186/s13062-015-0083-4 · Cited by 8 · see citing works
Information Theory in Genome Analysis
Manca, V. (2015) · Lecture notes in computer science · doi:10.1007/978-3-319-28475-0_1 · Cited by 7 · see citing works
Self-citationManca, V. (2016) · Elsevier eBooks · doi:10.1016/b978-0-12-804203-8.00021-3 · Cited by 7 · see citing works
Self-citationMallot, H. A. (1998) · Nature · doi:10.1038/26399 · Cited by 5 · see citing works
Editorial: Complexity in genomes
Almirantis, Y., Arndt, P. F., Li, W., & Provata, A. (2014) · Computational Biology and Chemistry · doi:10.1016/j.compbiolchem.2014.08.003 · Cited by 5 · see citing works
Flagged first, then by citations
Research works printed but not linked: 4
- Deonier R. C., Tavaré S. & Waterman M. Computational genome analysis: an introduction (Springer, 2005).
- Manca V. Infobiotics: information in biotic systems (Springer, 2013).
- Witten I. H., Moffat A. & Bell T. C. Managing gigabytes: compressing and indexingdocuments and images (Morgan Kaufmann, 1999).
- Schrödinger E. What Is Life? The Physical Aspect of the Living Cell and Mind (Cambridge University Press, 1944).
Cited by
Sorted by citations
On the length, weight and GC content of the human genome
Piovesan, A., Pelleri, M. C., Antonaros, F., Strippoli, P., Caracausi, M., & Vitale, L. (2019) · BMC Research Notes · doi:10.1186/s13104-019-4137-z · Cited by 283 · see citing works
Intrinsic laws of k-mer spectra of genome sequences and evolution mechanism of genomes
Yang, Z., Li, H., Yun, J., Yan, Z., Hu, M., Tonglaga, B., Li, X., & Luo, L. (2020) · BMC Evolutionary Biology · doi:10.1186/s12862-020-01723-3 · Cited by 21 · see citing works
PanDelos: a dictionary-based method for pan-genome content discovery
Bonnici, V., Giugno, R., & Manca, V. (2018) · BMC Bioinformatics · doi:10.1186/s12859-018-2417-6 · Cited by 22 · see citing works
Self-citationEnvironment and taxonomy shape the genomic signature of prokaryotic extremophiles
Arias, P. M., Butler, J., Randhawa, G. S., Soltysiak, M. P. M., Hill, K. A., & Lila Kari, A. (2023) · Scientific Reports · doi:10.1038/s41598-023-42518-y · Cited by 22 · see citing works
Genomic Signature in Evolutionary Biology: A Review
de la Fuente, R., Dı́az-Villanueva, W., Arnau, V., & Moyá, A. (2023) · Biology · doi:10.3390/biology12020322 · Cited by 19 · see citing works
The principles of informational genomics
Manca, V. (2017) · Theoretical Computer Science · doi:10.1016/j.tcs.2017.02.035 · Cited by 13 · see citing works
Self-citationDriven progressive evolution of genome sequence complexity in Cyanobacteria
Moyá, A., Oliver, J. L. T., Verdú, M., Delaye, L., Arnau, V., Bernaola‐Galván, P., de la Fuente, R., Dı́az-Villanueva, W., Gómez‐Martín, C., González, F. M., et al. (2020) · Scientific Reports · doi:10.1038/s41598-020-76014-4 · Cited by 12 · see citing works
Compositional Structure of the Genome: A Review
Bernaola‐Galván, P., Carpena, P., Gómez‐Martín, C., & Oliver, J. L. T. (2023) · Biology · doi:10.3390/biology12060849 · Cited by 10 · see citing works
Uncovering patterns of the evolution of genomic sequence entropy and complexity
Simões, R. P., Wolf, I. R., Correa, B. A., & Valente, G. T. (2020) · Molecular Genetics and Genomics · doi:10.1007/s00438-020-01729-y · Cited by 9 · see citing works
PEER: A direct method for biosequence pattern mining through waits of optimal k-mers
Mitra, U., Bhattacharyya, B., & Mukhopadhyay, T. (2020) · Information Sciences · doi:10.1016/j.ins.2019.12.072 · Cited by 8 · see citing works
Spectral concepts in genome informational analysis
Bonnici, V., Franco, G., & Manca, V. (2021) · Theoretical Computer Science · doi:10.1016/j.tcs.2021.06.039 · Cited by 6 · see citing works
Self-citationKullback Leibler divergence in complete bacterial and phage genomes
Akhter, S., Aziz, R. K., Kashef, M. T., Ibrahim, E. S., Bailey, B., & Edwards, R. A. (2017) · PeerJ · doi:10.7717/peerj.4026 · Cited by 6 · see citing works
An Informational Test for Random Finite Strings
Bonnici, V., & Manca, V. (2018) · Entropy · doi:10.3390/e20120934 · Cited by 6 · see citing works
Self-citationPanDelos-frags: A methodology for discovering pangenomic content of incomplete microbial assemblies
Bonnici, V., Mengoni, C., Mangoni, M., Franco, G., & Giugno, R. (2023) · Journal of Biomedical Informatics · doi:10.1016/j.jbi.2023.104552 · Cited by 5 · see citing works
Self-citationAn Informational Proof of H-Theorem
Manca, V. (2017) · OALib · doi:10.4236/oalib.1103396 · Cited by 5 · see citing works
Self-citationA k-mer Based Sequence Similarity for Pangenomic Analyses
Bonnici, V., Cracco, A., & Franco, G. (2022) · Lecture notes in computer science · doi:10.1007/978-3-030-95470-3_3 · Cited by 5 · see citing works
Self-citationFrom biopolymer duplication to membrane duplication and beyond
Manca, V. (2019) · Journal of Membrane Computing · doi:10.1007/s41965-019-00018-x · Cited by 4 · see citing works
Self-citationManca, V., & Scollo, G. (2021) · Theoretical Computer Science · doi:10.1016/j.tcs.2021.06.011 · Cited by 3 · see citing works
Self-citationMetrics of Genomic Complexity in the Evolution of Bacterial Endosymbiosis
Román-Escrivá, P., Bernabeu, M., Paganin, E., Dı́az-Villanueva, W., Verdú, M., Oliver, J. L. T., Arnau, V., & Moyá, A. (2025) · Biology · doi:10.3390/biology14040338 · Cited by 2 · see citing works
Models of RNA Interaction from Experimental Datasets: Framework of Resilience
Seffens, W. S. (2017) · InTech eBooks · doi:10.5772/intechopen.69452 · Cited by 2 · see citing works
A Brief Philosophical Note on Information
Manca, V. (2017) · Lecture notes in computer science · doi:10.1007/978-3-319-69775-8_8 · Cited by 2 · see citing works
Self-citationTracking evolutionary trends towards increasing complexity: a case study in CyanobacteriaPreprint
Moyá, A., Oliver, J. L. T., Verdú, M., Delaye, L., Arnau, V., Bernaola‐Galván, P., de la Fuente, R., Dı́az-Villanueva, W., Gómez‐Martín, C., González, F. M., et al. (2020) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2020.01.29.924464 · Cited by 1 · see citing works
Manca, V. (2016) · JOURNAL OF BIOINFORMATICS AND PROTEOMICS REVIEW · doi:10.15436/2381-0793.16.1211
Self-citationA Note on the Entropy of Computation
Manca, V. (2018) · Lecture notes in computer science · doi:10.1007/978-3-030-00265-7_16
Self-citationA word recurrence based algorithm to extract genomic dictionariesPreprint
Bonnici, V., Franco, G., & Manca, V. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2009.10449
Self-citationComments on "Informational laws of genome structures"Preprint
Andrade‐Restrepo, M., & Alvarez, C. É. (2022) · Research Square · doi:10.21203/rs.3.rs-1416535/v1
Manca, V., & Bonnici, V. (2023) · Emergence, complexity and computation · doi:10.1007/978-3-031-44501-9_4
Self-citationManca, V., & Bonnici, V. (2023) · Emergence, complexity and computation · doi:10.1007/978-3-031-44501-9_1
Self-citationManca, V., & Bonnici, V. (2023) · Emergence, complexity and computation · doi:10.1007/978-3-031-44501-9_5
Self-citationYang, Z., Li, H., Jia, Y. S., Zheng, Y., Meng, H., Bao, T., Li, X., & Luo, L. (2020) · Figshare · doi:10.6084/m9.figshare.13279575
Yang, Z., Li, H., Jia, Y. S., Zheng, Y. C., Meng, H., Bao, T., Li, X., & Luo, L. (2020) · Figshare · doi:10.6084/m9.figshare.13279578
Primality, Equations, Congruences
Manca, V. (2024) · Studies in big data · doi:10.1007/978-3-031-66545-5_6
Self-citationProkrustean Graph: A Substring Index for Rapid K-Mer Size Analysis
Park, A., & Koslicki, D. (2025) · Lecture notes in computer science · doi:10.1007/978-3-031-90252-9_14
van der Hulst, H. (2025) · doi:10.1017/9781009346313.013
Yang, Z., Li, H., Jia, Y., Zheng, Y., Meng, H., Bao, T., Li, X., & Luo, L. (2020) · Figshare · doi:10.6084/m9.figshare.13279581
Yang, Z., Li, H., Jia, Y., Zheng, Y., Meng, H., Bao, T., Li, X., & Luo, L. (2020) · Figshare · doi:10.6084/m9.figshare.13279584
Elucidating Transitions of k -mer-Based Objects Across k -mer Sizes
Park, A., & Koslicki, D. (2025) · Journal of Computational Biology · doi:10.1177/15578666251401600
Exploration of Evolutionary Dynamics and Genomic Architecture in Acinetobacter baumanniiPreprint
Sharma, R., & Lakhanpal, D. (2026) · Research Square · doi:10.21203/rs.3.rs-9765709/v1
PanDelos-plus: A parallel algorithm for computing sequence homology in pangenomic analysis
Colli, S., Maresi, E., & Bonnici, V. (2026) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1014724
Self-citation
- Authors
- Bonnici, V., & Manca, V.
- Affiliations
- University of Verona (IT)
- Corresponding author
- Manca, Vincenzo
- Venue
- Scientific Reports
- Published
- 2016-06-29
- Volume
- 6
- Issue
- 1
- Pages
- 28840-28840
- ISSN
- 2045-2322 (ISSN-L)
- PMC
- PMC4937431
- OpenAlex
- W2464014972
- Cited by
- 38
- References
- 49
- Citations by year
- 2026: 2 · 2025: 4 · 2024: 1 · 2023: 7 · 2022: 2 · 2021: 2 · 2020: 9 · 2019: 2 · 2018: 3 · 2017: 5 · 2016: 1
- FWCI
- 1.91
- Type
- journal article
- Language
- en
- Update notices
- correction (2023-02-28)
- Open access
- gold
- doi.org
- Locations
- Scientific Reports (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Fractal and DNA sequence analysis
- Physical Sciences › Computer Science › Artificial Intelligence › Algorithms and Data Compression
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Genomics and Phylogenetic Studies
- Keywords
- genome structure, k-mers, Shannon entropy, genome evolution, synthetic biology
- MeSH terms
- Algorithms, Animals, Humans, Models, Genetic, Genome, Evolution, Molecular, Entropy, Computational Biology
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review