The Statistical Trends of Protein Evolution: A Lesson from AlphaFold Database
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Abstract
The recent development of artificial intelligence provides us with new and powerful tools for studying the mysterious relationship between organism evolution and protein evolution. In this work, based on the AlphaFold Protein Structure Database (AlphaFold DB), we perform comparative analyses of the proteins of different organisms. The statistics of AlphaFold-predicted structures show that, for organisms with higher complexity, their constituent proteins will have larger radii of gyration, higher coil fractions, and slower vibrations, statistically. By conducting normal mode analysis and scaling analyses, we demonstrate that higher organismal complexity correlates with lower fractal dimensions in both the structure and dynamics of the constituent proteins, suggesting that higher functional specialization is associated with higher organismal complexity. We also uncover the topology and sequence bases of these correlations. As the organismal complexity increases, the residue contact networks of the constituent proteins will be more assortative, and these proteins will have a higher degree of hydrophilic–hydrophobic segregation in the sequences. Furthermore, by comparing the statistical structural proximity across the proteomes with the phylogenetic tree of homologous proteins, we show that, statistical structural proximity across the proteomes may indirectly reflect the phylogenetic proximity, indicating a statistical trend of protein evolution in parallel with organism evolution. This study provides new insights into how the diversity in the functionality of proteins increases and how the dimensionality of the manifold of protein dynamics reduces during evolution, contributing to the understanding of the origin and evolution of lives.
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Cites
Highly accurate protein structure prediction with AlphaFold
Jumper, J., Evans, R., Pritzel, A., Green, T., Figurnov, M., Ronneberger, O., Tunyasuvunakool, K., Bates, R., Žídek, A., Potapenko, A., et al. (2021) · Nature · doi:10.1038/s41586-021-03819-2 · Cited by 43,764 · see citing works
Berman, H. M. (2000) · Nucleic Acids Research · doi:10.1093/nar/28.1.235 · Cited by 40,196 · see citing works
Kabsch, W., & Sander, C. (1983) · Biopolymers · doi:10.1002/bip.360221211 · Cited by 15,320 · see citing works
Varadi, M., Anyango, S., Deshpande, M., Nair, S., Natassia, C., Yordanova, G., Yuan, D., Stroe, O., Wood, G., Laydon, A., et al. (2022) · Nucleic Acids Research · doi:10.1093/nar/gkab1061 · Cited by 7,850 · see citing works
The Kolmogorov-Smirnov Test for Goodness of Fit
Massey, F. J. (1951) · Journal of the American Statistical Association · doi:10.1080/01621459.1951.10500769 · Cited by 7,210 · see citing works
Assortative Mixing in Networks
Newman, M. E. J. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.208701 · Cited by 5,034 · see citing works
Dominant forces in protein folding
Dill, K. A. (1990) · Biochemistry · doi:10.1021/bi00483a001 · Cited by 3,824 · see citing works
Improved protein structure prediction using potentials from deep learning
Senior, A. W., Evans, R., Jumper, J., Kirkpatrick, J., Sifre, L., Green, T., Qin, C., Žídek, A., Nelson, A. W. R., Bridgland, A., et al. (2020) · Nature · doi:10.1038/s41586-019-1923-7 · Cited by 3,378 · see citing works
Newman, M. (2002) · Physical review. E, Statistical, nonlinear, and soft matter physics · doi:10.1103/physreve.67.026126 · Cited by 3,130 · see citing works
Specificity and Stability in Topology of Protein Networks
Maslov, S., & Sneppen, K. (2002) · Science · doi:10.1126/science.1065103 · Cited by 3,051 · see citing works
The Major Transitions in Evolution
Smith, J. M., & Szathmáry, E. (1997) · Oxford University Press eBooks · doi:10.1093/oso/9780198502944.001.0001 · Cited by 2,570 · see citing works
THEORY OF PROTEIN FOLDING: The Energy Landscape Perspective
Onuchic, J. N., Luthey-Schulten, Z., & Wolynes, P. G. (1997) · Annual Review of Physical Chemistry · doi:10.1146/annurev.physchem.48.1.545 · Cited by 2,210 · see citing works
BLAST: at the core of a powerful and diverse set of sequence analysis tools
McGinnis, S., & Madden, T. (2004) · Nucleic Acids Research · doi:10.1093/nar/gkh435 · Cited by 2,173 · see citing works
Complete Genome Sequence of the Methanogenic Archaeon, Methanococcus jannaschii
Bult, C. J., White, O. R., Olsen, G. J., Zhou, L., Fleischmann, R. D., Sutton, G. G., Blake, J. A., Fitzgerald, L. M., Clayton, R. A., Gocayne, J. D., et al. (1996) · Science · doi:10.1126/science.273.5278.1058 · Cited by 2,086 · see citing works
The Protein-Folding Problem, 50 Years On
Dill, K. A., & MacCallum, J. L. (2012) · Science · doi:10.1126/science.1219021 · Cited by 1,699 · see citing works
Identification of protein coding regions by database similarity search
Gish, W. R., & States, D. J. (1993) · Nature Genetics · doi:10.1038/ng0393-266 · Cited by 1,650 · see citing works
Morcos, F., Pagnani, A., Lunt, B., Bertolino, A., Marks, D. S., Sander, C., Zecchina, R., Onuchic, J. N., Hwa, T., & Weigt, M. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1111471108 · Cited by 1,434 · see citing works
Enzyme promiscuity: A mechanistic and evolutionary perspective
Tawfik, O. K. A. D. S. (2010) · Annual Review of Biochemistry · doi:10.1146/annurev-biochem-030409-143718 · Cited by 1,355 · see citing works
ProDy : Protein Dynamics Inferred from Theory and Experiments
Bakan, A., Meireles, L., & Bahar, İ. (2011) · Bioinformatics · doi:10.1093/bioinformatics/btr168 · Cited by 1,113 · see citing works
A series of PDB related databases for everyday needs
Joosten, R., Beek, T. T. T., Krieger, E., Hekkelman, M., Hooft, R., Schneider, R., Sander, C., & Vriend, G. (2010) · Nucleic Acids Res. · doi:10.1093/nar/gkq1105 · Cited by 1,050 · see citing works
powerlaw: A Python Package for Analysis of Heavy-Tailed Distributions
Alstott, J., Bullmore, E. T., & Plenz, D. (2014) · PLoS ONE · doi:10.1371/journal.pone.0085777 · Cited by 1,007 · see citing works
Protein Dynamism and Evolvability
Tokuriki, N., & Tawfik, D. S. (2009) · Science · doi:10.1126/science.1169375 · Cited by 932 · see citing works
Modularity from fluctuations in random graphs and complex networks
Guimerà, R., Sales-Pardo, M., & Amaral, L. A. N. (2004) · Physical Review E · doi:10.1103/physreve.70.025101 · Cited by 894 · see citing works
Why highly expressed proteins evolve slowly
Drummond, D. A., Bloom, J. D., Adami, C., Wilke, C. O., & Arnold, F. H. (2005) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0504070102 · Cited by 815 · see citing works
Gaussian Dynamics of Folded Proteins
Haliloǧlu, T., Bahar, İ., & Erman, B. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.3090 · Cited by 806 · see citing works
Evolution, structure, and activation mechanism of family 3/C G-protein-coupled receptors
Pin, J.-P., Galvez, T., & Prézeau, L. (2003) · Pharmacology & Therapeutics · doi:10.1016/s0163-7258(03)00038-x · Cited by 662 · see citing works
AlphaFold and Implications for Intrinsically Disordered Proteins
Ruff, K. M., & Pappu, R. V. (2021) · Journal of Molecular Biology · doi:10.1016/j.jmb.2021.167208 · Cited by 635 · see citing works
Global dynamics of proteins: bridging between structure and function
Bahar, I., Lezon, T. R., Yang, L.-W., & Eyal, E. (2010) · Annual Review of Biophysics · doi:10.1146/annurev.biophys.093008.131258 · Cited by 610 · see citing works
Evolution of biological complexity
Adami, C., Ofria, C., & Collier, T. C. (2000) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.97.9.4463 · Cited by 592 · see citing works
How Protein Stability and New Functions Trade Off
Tokuriki, N., Stricher, F., Serrano, L. G., & Tawfik, D. S. (2008) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000002 · Cited by 585 · see citing works
Jones, W. J., Leigh, J. A., Mayer, F., Woese, C. R., & WOLFE, R. S. (1983) · Archives of Microbiology · doi:10.1007/bf00425213 · Cited by 573 · see citing works
The characterization of amino acid sequences in proteins by statistical methods
Zimmerman, J., Eliezer, N., & Simha, R. (1968) · Journal of Theoretical Biology · doi:10.1016/0022-5193(68)90069-6 · Cited by 558 · see citing works
The structure of the protein universe and genome evolution
Koonin, E. V., Wolf, Y. I., & Karev, G. P. (2002) · Nature · doi:10.1038/nature01256 · Cited by 553 · see citing works
An integrated view of protein evolution
Pál, C., Papp, B., & Lercher, M. J. (2006) · Nature Reviews Genetics · doi:10.1038/nrg1838 · Cited by 497 · see citing works
Mutational effects and the evolution of new protein functions
Soskine, M., & Tawfik, D. S. (2010) · Nature Reviews Genetics · doi:10.1038/nrg2808 · Cited by 455 · see citing works
Bahar, İ., Atılgan, A. R., Demirel, M. C., & Erman, B. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2733 · Cited by 442 · see citing works
Protein length in eukaryotic and prokaryotic proteomes
Brocchieri, L. (2005) · Nucleic Acids Research · doi:10.1093/nar/gki615 · Cited by 414 · see citing works
Measures of complexity: a nonexhaustive list
Lloyd, S. (2001) · IEEE Control Systems · doi:10.1109/mcs.2001.939938 · Cited by 370 · see citing works
Normal mode analysis of protein dynamics
Case, D. (1994) · Current Opinion in Structural Biology · doi:10.1016/s0959-440x(94)90321-2 · Cited by 360 · see citing works
PERSPECTIVE METAZOAN COMPLEXITY AND EVOLUTION: IS THERE A TREND?
McShea, D. W. (1996) · Evolution · doi:10.1111/j.1558-5646.1996.tb03861.x · Cited by 349 · see citing works
Diversity and evolution of the green fluorescent protein family
Labas, Y. A., Gurskaya, N. G., Yanushevich, Y. G., Fradkov, A. F., Lukyanov, K. A., Lukyanov, S., & Matz, M. V. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.062552299 · Cited by 340 · see citing works
Using AlphaFold to predict the impact of single mutations on protein stability and function
Pak, M. A., Markhieva, K. A., Novikova, M. S., Petrov, D. S., Vorobyev, I. S., Maksimova, E. S., Kondrashov, F. A., & Ivankov, D. N. (2023) · PLOS One · doi:10.1371/journal.pone.0282689 · Cited by 322 · cited 1× · see citing works
“Despite the limitations noted in previous research (Bagdonas et al. 2021; Pak et al. 2021; Ruff and Pappu 2021), AlphaFold 2 is acknowledged to provide high-accuracy predictions of protein structures, even for sequences with relatively fewer homologous sequences ( Jumper et al. 2021).”
Impedance-based detection of DNA sequences using a silicon transducer with PNA as the probe layer
Macanovic, A. (2004) · Nucleic Acids Research · doi:10.1093/nar/gnh003 · Cited by 309 · see citing works
Phylogeny and evolution of the major intrinsic protein family
Zardoya, R. (2005) · Biology of the Cell · doi:10.1042/bc20040134 · Cited by 290 · see citing works
Physics and evolution of thermophilic adaptation
Berezovsky, I. N., & Shakhnovich, E. I. (2005) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0503890102 · Cited by 286 · see citing works
Liang, J., & Dill, K. A. (2001) · Biophysical Journal · doi:10.1016/s0006-3495(01)75739-6 · Cited by 276 · see citing works
Comparing function and structure between entire proteomes
Liu, J., & Rost, B. (2001) · Protein Science · doi:10.1110/ps.10101 · Cited by 266 · see citing works
Flexibility and packing in proteins
Halle, B. (2002) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.032522499 · Cited by 251 · see citing works
Biophysics of protein evolution and evolutionary protein biophysics
Sikosek, T., & Chan, H. S. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.0419 · Cited by 220 · see citing works
Lewis, M., & Rees, D. C. (1985) · Science · doi:10.1126/science.4071040 · Cited by 218 · see citing works
Evolution of increased complexity in a molecular machine
Finnigan, G. C., Hanson-Smith, V., Stevens, T. H., & Thornton, J. W. (2012) · Nature · doi:10.1038/nature10724 · Cited by 212 · see citing works
Conformational dynamics and enzyme evolution
Petrović, D., Risso, V. A., Kamerlin, S. C. L., & Sánchez‐Ruiz, J. M. (2018) · Journal of The Royal Society Interface · doi:10.1098/rsif.2018.0330 · Cited by 205 · see citing works
Enzymes: An integrated view of structure, dynamics and function
Agarwal, P. K. (2006) · Microbial Cell Factories · doi:10.1186/1475-2859-5-2 · Cited by 204 · see citing works
The origin, evolution and structure of the protein world
Caetano‐Anollés, G., Wang, M., Caetano-Anollés, D., & Mittenthal, J. E. (2009) · Biochemical Journal · doi:10.1042/bj20082063 · Cited by 190 · see citing works
Volume changes in protein evolution
Gerstein, M., Sonnhammer, E. L. L., & Chothia, C. (1994) · Journal of Molecular Biology · doi:10.1016/0022-2836(94)90012-4 · Cited by 172 · see citing works
Li, W., Wolynes, P. G., & Takada, S. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1018983108 · Cited by 159 · see citing works
Hayward, S., Kitao, A., & Gō, N. (1995) · Proteins Structure Function and Bioinformatics · doi:10.1002/prot.340230207 · Cited by 155 · see citing works
Structure, Dynamics, and Reactivity in Hemoglobin
Friedman, J. M. (1985) · Science · doi:10.1126/science.4001941 · Cited by 152 · see citing works
The thermostability and specificity of ancient proteins
Wheeler, L. C., Lim, S. A., Marqusee, S., & Harms, M. J. (2016) · Current Opinion in Structural Biology · doi:10.1016/j.sbi.2016.05.015 · Cited by 131 · see citing works
Adaptability of protein structures to enable functional interactions and evolutionary implications
Haliloǧlu, T., & Bahar, İ. (2015) · Current Opinion in Structural Biology · doi:10.1016/j.sbi.2015.07.007 · Cited by 125 · see citing works
Protein engineers turned evolutionists—the quest for the optimal starting point
Trudeau, D. L., & Tawfik, D. S. (2019) · Current Opinion in Biotechnology · doi:10.1016/j.copbio.2018.12.002 · Cited by 116 · see citing works
Why do eukaryotic proteins contain more intrinsically disordered regions?
Basile, W., Salvatore, M., Bassot, C., & Elofsson, A. (2019) · PLOS Computational Biology · doi:10.1371/journal.pcbi.1007186 · Cited by 113 · see citing works
Cellular Proteomes Have Broad Distributions of Protein Stability
Ghosh, K., & Dill, K. A. (2010) · Biophysical Journal · doi:10.1016/j.bpj.2010.10.036 · Cited by 111 · see citing works
Zhang, J., Maslov, S., & Shakhnovich, E. I. (2008) · Molecular Systems Biology · doi:10.1038/msb.2008.48 · Cited by 107 · see citing works
Laboratory evolution of protein conformational dynamics
Campbell, E. C., Correy, G. J., Mabbitt, P. D., Buckle, A. M., Tokuriki, N., & Jackson, C. J. (2017) · Current Opinion in Structural Biology · doi:10.1016/j.sbi.2017.09.005 · Cited by 107 · see citing works
Protein Flexibility Facilitates Quaternary Structure Assembly and Evolution
Marsh, J. A., & Teichmann, S. A. (2014) · PLoS Biology · doi:10.1371/journal.pbio.1001870 · Cited by 104 · see citing works
Evolution of protein structural classes and protein sequence families
Choi, I., & Kim, S. (2006) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0606239103 · Cited by 98 · see citing works
Nonlinear relaxation dynamics in elastic networks and design principles of molecular machines
Togashi, Y., & Mikhailov, A. S. (2007) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0702950104 · Cited by 86 · see citing works
Proteins: Coexistence of Stability and Flexibility
Reuveni, S., Granek, R., & Klafter, J. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.208101 · Cited by 76 · see citing works
The case for post-predictional modifications in the AlphaFold Protein Structure Database
Bagdonas, H., Fogarty, C. A., Fadda, E., & Agirre, J. (2021) · Nature Structural & Molecular Biology · doi:10.1038/s41594-021-00680-9 · Cited by 75 · see citing works
Retallack, D. M., Thomas, T. C., Shao, Y., Haney, K., Resnick, S. M., Lee, V. D., & Squires, C. H. (2006) · Microbial Cell Factories · doi:10.1186/1475-2859-5-1 · Cited by 74 · see citing works
Understanding Protein Evolution: From Protein Physics to Darwinian Selection
Zeldovich, K. B., & Shakhnovich, E. I. (2007) · Annual Review of Physical Chemistry · doi:10.1146/annurev.physchem.58.032806.104449 · Cited by 71 · see citing works
Modi, T., Risso, V. A., Martínez‐Rodríguez, S., Gavira, J. A., Mebrat, M. D., Horn, W. D. V., Sánchez‐Ruiz, J. M., & Ozkan, S. B. (2021) · Nature Communications · doi:10.1038/s41467-021-22089-0 · Cited by 68 · see citing works
Critical Fluctuations in the Native State of Proteins
Tang, Q.-Y., Zhang, Y., Wang, J., Wang, W., & Chialvo, D. R. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.088102 · Cited by 67 · see citing works
Self-citationProtein evolution speed depends on its stability and abundance and on chaperone concentrations
Agozzino, L., & Dill, K. A. (2018) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1810194115 · Cited by 64 · see citing works
Formation of dominant mode by evolution in biological systems
Furusawa, C., & Kaneko, K. (2018) · Physical review. E · doi:10.1103/physreve.97.042410 · Cited by 64 · see citing works
Self-citationNormal mode analysis as a method to derive protein dynamics information from the Protein Data Bank
Wako, H., & Endo, S. (2017) · Biophysical Reviews · doi:10.1007/s12551-017-0330-2 · Cited by 61 · see citing works
Natural history as a predictor of protein evolvability
O'Loughlin, T. L. (2006) · Protein Engineering Design and Selection · doi:10.1093/protein/gzl029 · Cited by 60 · see citing works
Robertson, A. J., Courtney, J. M., Shen, Y., Ying, J., & Bax, A. (2021) · Journal of the American Chemical Society · doi:10.1021/jacs.1c10588 · Cited by 58 · see citing works
Markov, A. V., Анисимов, В. А., & Korotayev, A. (2010) · Paleontological Journal · doi:10.1134/s0031030110040015 · Cited by 56 · see citing works
Manipulating Conformational Dynamics To Repurpose Ancient Proteins for Modern Catalytic Functions
Gardner, J. M., Biler, M., Risso, V. A., Sánchez‐Ruiz, J. M., & Kamerlin, S. C. L. (2020) · ACS Catalysis · doi:10.1021/acscatal.0c00722 · Cited by 56 · see citing works
Network-Based Models as Tools Hinting at Nonevident Protein Functionality
Atılgan, C., Okan, O. B., & Atılgan, A. R. (2012) · Annual Review of Biophysics · doi:10.1146/annurev-biophys-050511-102305 · Cited by 56 · see citing works
Exploiting enzyme evolution for computational protein design
Pinto, G., Corbella, M., Demkiv, A. O., & Kamerlin, S. C. L. (2021) · Trends in Biochemical Sciences · doi:10.1016/j.tibs.2021.08.008 · Cited by 55 · see citing works
Kasho, V. N., Smirnova, I. N., & Kaback, H. R. (2006) · Journal of Molecular Biology · doi:10.1016/j.jmb.2006.02.049 · Cited by 52 · see citing works
Origin of Complexity in Multicellular Organisms
Furusawa, C., & Kaneko, K. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.6130 · Cited by 49 · see citing works
Self-citationLong-range correlation in protein dynamics: Confirmation by structural data and normal mode analysis
Tang, Q.-Y., & Kaneko, K. (2020) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1007670 · Cited by 44 · see citing works
Self-citationDynamics-Evolution Correspondence in Protein Structures
Tang, Q.-Y., & Kaneko, K. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.098103 · Cited by 42 · see citing works
Self-citationScaling and self-organized criticality in proteins I
Phillips, J. C. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0811262106 · Cited by 41 · see citing works
Green function of correlated genes in a minimal mechanical model of protein evolution
Dutta, S., Eckmann, J., Libchaber, A. J., & Tlusty, T. (2018) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1716215115 · Cited by 36 · see citing works
Scaling laws in enzyme function reveal a new kind of biochemical universality
Gagler, D. C., Karas, B., Kempes, C. P., Malloy, J., Mierzejewski, V., Goldman, A. D., Kim, H., & Walker, S. I. (2022) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2106655119 · Cited by 34 · see citing works
A biological cosmos of parallel universes: Does protein structural plasticity facilitate evolution?
Meier, S., & Özbek, S. (2007) · BioEssays · doi:10.1002/bies.20661 · Cited by 34 · see citing works
Evolutionary dimension reduction in phenotypic space
Sato, T. U., & Kaneko, K. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.013197 · Cited by 34 · see citing works
Self-citationColloquium : Proteins: The physics of amorphous evolving matter
Eckmann, J., Rougemont, J., & Tlusty, T. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.031001 · Cited by 32 · see citing works
A Shift in Aggregation Avoidance Strategy Marks a Long-Term Direction to Protein Evolution
Foy, S. G., Wilson, B. J., Bertram, J., Cordes, M. H. J., & Joanna Masel, A. (2019) · Genetics · doi:10.1534/genetics.118.301719 · Cited by 29 · see citing works
Evolvability of Thermophilic Proteins from Archaea and Bacteria
Takano, K., Aoi, A., Koga, Y., & Kanaya, S. (2013) · Biochemistry · doi:10.1021/bi400652c · Cited by 28 · see citing works
Capturing coevolutionary signals inrepeat proteins
Espada, R., Parra, R. G., Mora, T., Walczak, A. M., & Ferreiro, D. U. (2015) · BMC Bioinformatics · doi:10.1186/s12859-015-0648-3 · Cited by 27 · see citing works
Dimensional reduction in complex living systems: Where, why, and how
Eckmann, J., & Tlusty, T. (2021) · BioEssays · doi:10.1002/bies.202100062 · Cited by 27 · see citing works
Evolution of sparsity and modularity in a model of protein allostery
Hemery, M., & Rivoire, O. (2015) · Physical Review E · doi:10.1103/physreve.91.042704 · Cited by 27 · see citing works
The number of cell types, information content, and the evolution of complex multicellularity
Niklas, K. J., Cobb, E. D., & Dunker, A. K. (2014) · Acta Societatis Botanicorum Poloniae · doi:10.5586/asbp.2014.034 · Cited by 25 · see citing works
Scaling and self-organized criticality in proteins II
Phillips, J. C. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0811308105 · Cited by 24 · see citing works
Tracing protein and proteome history with chronologies and networks: folding recapitulates evolution
Caetano‐Anollés, G., Aziz, M. F., Mughal, F., & Caetano-Anollés, D. (2021) · Expert Review of Proteomics · doi:10.1080/14789450.2021.1992277 · Cited by 21 · see citing works
Correction: powerlaw: A Python Package for Analysis of Heavy-Tailed Distributions
Staff, T. P. O. (2014) · PLoS ONE · doi:10.1371/journal.pone.0095816 · Cited by 20 · see citing works
Functional sensitivity and mutational robustness of proteins
Tang, Q.-Y., Hatakeyama, T. S., & Kaneko, K. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.033452 · Cited by 17 · see citing works
Self-citationHydropathic Self-Organized Criticality: A Magic Wand for Protein Physics
Phillips, J. C. (2012) · Protein and Peptide Letters · doi:10.2174/092986612802762741 · Cited by 16 · see citing works
Mining folded proteomes in the era of accurate structure prediction
Bayly-Jones, C., & Whisstock, J. C. (2022) · PLOS Computational Biology · doi:10.1371/journal.pcbi.1009930 · Cited by 16 · see citing works
Sakata, A., & Kaneko, K. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.218101 · Cited by 13 · see citing works
Self-citationSelf-organized networks: Darwinian evolution of dynein rings, stalks, and stalk heads
Phillips, J. C. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1920840117 · Cited by 12 · see citing works
Moret, M. A., Zebende, G. F., & Phillips, J. C. (2018) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2018.09.128 · Cited by 1 · see citing works
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AlphaFold2 and its applications in the fields of biology and medicine
Yang, Z., Zeng, X., Zhao, Y. C., & Chen, R. (2023) · Signal Transduction and Targeted Therapy · doi:10.1038/s41392-023-01381-z · Cited by 606 · see citing works
Zhao, K., Xia, Y., Zhang, F., Zhou, X., Li, S. Z., & Zhang, G. (2023) · Communications Biology · doi:10.1038/s42003-023-04605-8 · Cited by 46 · see citing works
Artificial Intelligence in Chemistry Research─Implications for Teaching and Learning
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Limitations of Protein Structure Prediction Algorithms in Therapeutic Protein Development
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Li, W., Huang, B., Guo, M., Zeng, Z., Cai, T., Feng, L., Zhang, X., Guo, L., Jiang, X., Yin, Y., et al. (2025) · Cell Reports · doi:10.1016/j.celrep.2025.115773 · Cited by 13 · see citing works
Evolutionary tinkering enriches the hierarchical and nested structures in amino acid sequences
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Self-citationUnifying Constraints Linking Protein Folding and Native Dynamics Decoded from AlphaFold
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Shenoy, S. (2025) · World Journal of Clinical Oncology · doi:10.5306/wjco.v16.i8.106838 · Cited by 3 · see citing works
Duan, Z., Liang, Y., Zhang, J., Chen, Z., Gu, L., & Xue, W. (2025) · Briefings in Bioinformatics · doi:10.1093/bib/bbaf573 · Cited by 2 · see citing works
Tian, Y., Zhang, X.-Y., Aslam, M. M., Tahir, M. Y., Zargar, M., Huang, J.-J., Zhu, F., Chen, M., Wan, L., & Liu, Y. (2025) · Journal of Advanced Research · doi:10.1016/j.jare.2025.11.014 · Cited by 2 · see citing works
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Qiu, K., Dunin-Horkawicz, S., & Lupas, A. N. (2024) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2024.06.07.596093 · Cited by 2 · see citing works
Duncan, M., Sylvester, T. P., Walden, E., Lozano, J. R., Turner, E., Duncan, S., Mitchell, R. F., McKenna, D. D., & Adams, R. (2026) · Insects · doi:10.3390/insects17060587 · Cited by 1 · see citing works
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Sun, N., Feng, L., Shi, H., Li, X., Guo, S., Wang, Y., Hu, S., Gao, C., & Liu, R. (2023) · SSRN Electronic Journal · doi:10.2139/ssrn.4500297
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Zhang, Z., Liu, C., Zhu, Y., Lu, P., Qiu, W., Tang, Q.-Y., He, L., Zhang, K., Di, Z., & Liu, Y. (2023) · Research Square · doi:10.21203/rs.3.rs-3440555/v1 · Cited by 1 · see citing works
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Petreuș, D. E., & Isvoran, A. (2024) · Applied Sciences · doi:10.3390/app14209540
Universal Principles of Protein Dynamics and Evolution Revealed by Data-Driven Studies
Tang, Q.-Y. (2024) · Seibutsu Butsuri · doi:10.2142/biophys.64.291
Self-citationXenakis, M. N., & Lampert, A. (2025) · Computational and Structural Biotechnology Journal · doi:10.1016/j.csbj.2025.11.048
Atomic density distributions in proteins: structural and functional implications
Touliopoulos, S., & Glykos, N. M. (2025) · Journal of Molecular Graphics and Modelling · doi:10.1016/j.jmgm.2025.109228
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Asadi, F. (2025) · International Conference on Orange Technology (ICOT) · doi:10.1109/icot68409.2025.11425302
Wang, M., Li, S., Zhu, X., Guo, M., Guo, C., & Shu, Y. (2026) · Frontiers in Plant Science · doi:10.3389/fpls.2026.1772992
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Furuike, Y., & Akiyama, S. (2026) · Scientific Reports · doi:10.1038/s41598-026-74715-w
- Authors
- Tang, Q.-Y., Ren, W., Wang, J., & Kaneko, K.
- Affiliations
- RIKEN Center for Brain Science (JP)
- RIKEN (JP)
- Collaborative Innovation Center of Advanced Microstructures (CN)
- University of Copenhagen (DK)
- Corresponding author
- Tang, Qian-Yuan
- Kaneko, Kunihiko
- Venue
- Molecular Biology and Evolution
- Publisher
- Oxford University Press (OUP)
- Published
- 2022-09-15
- Volume
- 39
- Issue
- 10
- ISSN
- 0737-4038 (ISSN-L)
- 1537-1719
- PMC
- PMC9550990
- OpenAlex
- W4296025735
- Cited by
- 31
- References
- 110
- Citations by year
- 2026: 7 · 2025: 9 · 2024: 5 · 2023: 6 · 2022: 4
- FWCI
- 1.96
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Molecular Biology and Evolution (publishedVersion, cc-by-nc)
- bioRxiv (Cold Spring Harbor Laboratory) (acceptedVersion, cc-by-nc-nd)
- PubMed Central (publishedVersion, cc-by-nc)
- PubMed (publishedVersion)
- Research at the University of Copenhagen (University of Copenhagen) (publishedVersion, cc-by)
- Funders
- Japan Agency for Medical Research and Development (JP21dm0207001)
- National Natural Science Foundation of China (11774157, 17H06386)
- Ministry of Education, Culture, Sports, Science and Technology of Japan ((A)20H00123)
- Japanese Society for the Promotion of Science
- Novo Nordisk Fonden
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Protein Structure and Dynamics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › RNA and protein synthesis mechanisms
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Keywords
- protein evolution, organismal complexity, AlphaFold, radius of gyration, protein dynamics, fractal dimension, assortativity, phylogenetic relatedness, normal mode analysis, origin of life
- MeSH terms
- Artificial Intelligence, Phylogeny, Proteome, Databases, Protein
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.
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