Abstract
When a dispensable gene is duplicated (referred to the ancestral dispensability denoted by O+), genetic buffering and duplicate compensation together maintain the duplicate redundancy, whereas duplicate compensation is the only mechanism when an essential gene is duplicated (referred to the ancestral essentiality denoted by O−). To investigate these evolutionary scenarios of genetic robustness, I formulated a simple mixture model for analyzing duplicate pairs with one of the following states: double dispensable (DD), semi-dispensable (one dispensable one essential, DE), or double essential (EE). This model was applied to the yeast duplicate pairs from a whole-genome duplication (WGD) occurred about 100 million years ago (mya), and the mouse duplicate pairs from a WGD occurred about more than 500 mya. Both case studies revealed that the proportion of essentiality for those duplicates with ancestral essentiality [PE(O−)] was much higher than that for those with ancestral dispensability [PE(O+)]. While it was negligible in the yeast duplicate pairs, PE(O+) (about 20%) was shown statistically significant in the mouse duplicate pairs. These findings, together, support the hypothesis that both sub-functionalization and neo-functionalization may play some roles after gene duplication, though the former may be much faster than the later.
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Data Availability
In the current study, most work is theoretical, which did not include any original dataset. All datasets involved in the case analysis has been well cited in the text.
References
Birchler JA, Veitia RA (2012) Gene balance hypothesis: connecting issues of dosage sensitivity across biological disciplines. Proc Natl Acad Sci USA 109:14746–14753
Brown SDM, Holmes CC, Mallon AM et al (2018) High-throughput mouse phenomics for characterizing mammalian gene function. Nat Rev Genet 19:357–370
Cacheiro P, Muñoz-Fuentes V, Murray SA et al (2020) Human and mouse essentiality screens as a resource for disease gene discovery. Nat Commun. https://doi.org/10.1038/s41467-020-14284-2
Chen S, Zhang YE, Long M (2010) New genes in Drosophila quickly become essential. Science. https://doi.org/10.1126/science.1196380
Chen WH, Trachana K, Lercher MJ, Bork P (2012) Younger genes are less likely to be essential than older genes, and duplicates are less likely to be essential than singletons of the same age. Mol Biol Evol. https://doi.org/10.1093/molbev/mss014
Chen WH, Lu G, Chen X et al (2017) OGEE v2: an update of the online gene essentiality database with special focus on differentially essential genes in human cancer cell lines. Nucleic Acids Res. https://doi.org/10.1093/nar/gkw1013
Conant GC, Wagner A (2004) Duplicate genes and robustness to transient gene knock-downs in Caenorhabditis elegans. Proc R Soc B Biol Sci. https://doi.org/10.1098/rspb.2003.2560
de Kegel B, Ryan CJ (2019) Paralog buffering contributes to the variable essentiality of genes in cancer cell lines. PLoS Genet. https://doi.org/10.1371/journal.pgen.1008466
Dean EJ, Davis JC, Davis RW, Petrov DA (2008) Pervasive and persistent redundancy among duplicated genes in yeast. PLoS Genet. https://doi.org/10.1371/journal.pgen.1000113
Des Marais DL, Rausher MD (2008) Escape from adaptive conflict after duplication in an anthocyanin pathway gene. Nature. https://doi.org/10.1038/nature07092
Diss G, Gagnon-Arsenault I, Dion-Coté AM et al (2017) Gene duplication can impart fragility, not robustness, in the yeast protein interaction network. Science. https://doi.org/10.1126/science.aai7685
Flatt T (2005) The evolutionary genetics of canalization. Q Rev Biol 80:287–316
Force A, Lynch M, Pickett FB et al (1999) Preservation of duplicate genes by complementary, degenerative mutations. Genetics. https://doi.org/10.1093/genetics/151.4.1531
Fuller ZL, Berg JJ, Mostafavi H et al (2019) Measuring intolerance to mutation in human genetics. Nat Genet 51:772–776
Georgi B, Voight BF, Bućan M (2013) From mouse to human: evolutionary genomics analysis of human orthologs of essential genes. PLoS Genet. https://doi.org/10.1371/journal.pgen.1003484
Gu X (1997) The age of the common ancestor of eukaryotes and prokaryotes: statistical inferences. Mol Biol Evol. https://doi.org/10.1093/oxfordjournals.molbev.a025827
Gu X (2003) Functional divergence in protein (family) sequence evolution. Genetica. https://doi.org/10.1023/A:1024197424306
Gu X (2007) Evolutionary framework for protein sequence evolution and gene pleiotropy. Genetics. https://doi.org/10.1534/genetics.106.066530
Gu X (2014) Pleiotropy can be effectively estimated without counting phenotypes through the rank of a genotype-phenotype map. Genetics. https://doi.org/10.1534/genetics.114.164673
Gu X, Nei M (1999) Locus specificity of polymorphic alleles and evolution by a birth-and death process in mammalian MHC genes. Mol Biol Evol. https://doi.org/10.1093/oxfordjournals.molbev.a026097
Gu X, Su Z (2007) Tissue-driven hypothesis of genomic evolution and sequence-expression correlations. Proc Natl Acad Sci USA. https://doi.org/10.1073/pnas.0610797104
Gu Z, Steinmetz LM, Gu X et al (2003) Role of duplicate genes in genetic robustness against null mutations. Nature. https://doi.org/10.1038/nature01198
Guan Y, Dunham MJ, Troyanskaya OG (2007) Functional analysis of gene duplications in Saccharomyces cerevisiae. Genetics. https://doi.org/10.1534/genetics.106.064329
Hahn MW (2009) Distinguishing among evolutionary models for the maintenance of gene duplicates. J Hered 100:604–617
Hanada K, Kuromori T, Myouga F et al (2009) Evolutionary persistence of functional compensation by duplicate genes in Arabidopsis. Genome Biol Evol. https://doi.org/10.1093/gbe/evp043
Hanada K, Sawada Y, Kuromori T et al (2011) Functional compensation of primary and secondary metabolites by duplicate genes in Arabidopsis thaliana. Mol Biol Evol 28:377–382. https://doi.org/10.1093/molbev/msq204
Hillenmeyer ME, Fung E, Wildenhain J et al (2008) The chemical genomic portrait of yeast: uncovering a phenotype for all genes. Science. https://doi.org/10.1126/science.1150021
Hsiao T-L, Vitkup D (2008) Role of duplicate genes in robustness against deleterious human mutations. PLoS Genet 4:e1000014. https://doi.org/10.1371/journal.pgen.1000014
Hughes T, Liberles DA (2007) The pattern of evolution of smaller-scale gene duplicates in mammalian genomes is more consistent with neo- than subfunctionalisation. J Mol Evol. https://doi.org/10.1007/s00239-007-9041-9
Ihmels J, Collins SR, Schuldiner M et al (2007) Backup without redundancy: genetic interactions reveal the cost of duplicate gene loss. Mol Syst Biol. https://doi.org/10.1038/msb4100127
Innan H, Kondrashov F (2010) The evolution of gene duplications: classifying and distinguishing between models. Nat Rev Genet 11:97–108
Kabir M, Barradas A, Tzotzos GT et al (2017) Properties of genes essential for mouse development. PLoS ONE. https://doi.org/10.1371/journal.pone.0178273
Kamath RS, Fraser AG, Dong Y et al (2003) Systematic functional analysis of the Caenorhabditis elegans genome using RNAi. Nature. https://doi.org/10.1038/nature01278
Keane OM, Toft C, Carretero-Paulet L et al (2014) Preservation of genetic and regulatory robustness in ancient gene duplicates of Saccharomyces cerevisiae. Genome Res. https://doi.org/10.1101/gr.176792.114
Kim SH, Yi SV (2006) Correlated asymmetry of sequence and functional divergence between duplicate proteins of Saccharomyces cerevisiae. Mol Biol Evol. https://doi.org/10.1093/molbev/msj115
Láruson ÁJ, Yeaman S, Lotterhos KE (2020) The importance of genetic redundancy in evolution. Trends Ecol Evol 35:809–822
Lee Y, Szymanski DB (2021) Multimerization variants as potential drivers of neofunctionalization. Sci Adv. https://doi.org/10.1126/sciadv.abf0984
Li J, Yuan Z, Zhang Z (2010) The cellular robustness by genetic redundancy in budding yeast. PLoS Genet. https://doi.org/10.1371/journal.pgen.1001187
Liang H, Li WH (2007) Gene essentiality, gene duplicability and protein connectivity in human and mouse. Trends Genet 23:375–378
Liang H, Li WH (2009) Functional compensation by duplicated genes in mouse. Trends Genet. https://doi.org/10.1016/j.tig.2009.08.001
Liao BY, Zhang J (2007) Mouse duplicate genes are as essential as singletons. Trends Genet 23:378–381
Makino T, McLysaght A (2010) Ohnologs in the human genome are dosage balanced and frequently associated with disease. Proc Natl Acad Sci USA. https://doi.org/10.1073/pnas.0914697107
Makino T, Hokamp K, McLysaght A (2009) The complex relationship of gene duplication and essentiality. Trends Genet 25:152–155
Mallik S, Tawfik DS (2020) Determining the interaction status and evolutionary fate of duplicated homomeric proteins. PLoS Comput Biol. https://doi.org/10.1371/journal.pcbi.1008145
Mendonça AG, Alves RJ, Pereira-Leal JB (2011) Loss of genetic redundancy in reductive genome evolution. PLoS Comput Biol. https://doi.org/10.1371/journal.pcbi.1001082
Muñoz-fuentes V, Cacheiro P, Meehan TF et al (2018) The International Mouse Phenoty** Consortium (IMPC): a functional catalogue of the mammalian genome that informs conservation. Conserv Genet. https://doi.org/10.1007/s10592-018-1072-9
Musso G, Costanzo M, Huangfu MQ et al (2008) The extensive and condition-dependent nature of epistasis among whole-genome duplicates in yeast. Genome Res. https://doi.org/10.1101/gr.076174.108
Nowak MA, Boerlijst MC, Cooke J, Smith JM (1997) Evolution of genetic redundancy. Nature. https://doi.org/10.1038/40618
Pengelly RJ, Vergara-Lope A, Alyousfi D et al (2019) Understanding the disease genome: gene essentiality and the interplay of selection, recombination and mutation. Brief Bioinform. https://doi.org/10.1093/bib/bbx110
Plata G, Vitkup D (2014) Genetic robustness and functional evolution of gene duplicates. Nucleic Acids Res. https://doi.org/10.1093/nar/gkt1200
Prince VE, Pickett FB (2002) Splitting pairs: the diverging fates of duplicated genes. Nat Rev Genet 3:827–837
Qian W, Liao BY, Chang AYF, Zhang J (2010) Maintenance of duplicate genes and their functional redundancy by reduced expression. Trends Genet. https://doi.org/10.1016/j.tig.2010.07.002
Rancati G, Moffat J, Typas A, Pavelka N (2018) Emerging and evolving concepts in gene essentiality. Nat Rev Genet 19:34–49
Saito N, Ishihara S, Kaneko K (2014) Evolution of genetic redundancy: the relevance of complexity in genotype-phenotype map**. New J Phys. https://doi.org/10.1088/1367-2630/16/6/063013
Smith CL, Blake JA, Kadin JA et al (2018) Mouse Genome Database (MGD)-2018: knowledgebase for the laboratory mouse. Nucleic Acids Res. https://doi.org/10.1093/nar/gkx1006
Stark TL, Liberles DA, Holland BR, O’Reilly MM (2017) Analysis of a mechanistic Markov model for gene duplicates evolving under subfunctionalization. BMC Evol Biol. https://doi.org/10.1186/s12862-016-0848-0
Stoltzfus A (1999) On the possibility of constructive neutral evolution. J Mol Evol. https://doi.org/10.1007/PL00006540
Su Z, Gu X (2008) Predicting the proportion of essential genes in mouse duplicates based on biased mouse knockout genes. J Mol Evol. https://doi.org/10.1007/s00239-008-9170-9
Su Z, Huang Y, Gu X (2007) Tissue-driven hypothesis with Gene Ontology (GO) analysis. Ann Biomed Eng. https://doi.org/10.1007/s10439-007-9269-y
Su Z, Zeng Y, Gu X (2010) A preliminary analysis of gene pleiotropy estimated from protein sequences. J Exp Zool B Mol Dev Evol. https://doi.org/10.1002/jez.b.21315
Su Z, Wang J, Gu X (2014) Effect of duplicate genes on mouse genetic robustness: an update. Biomed Res Int. https://doi.org/10.1155/2014/758672
Szklarczyk R, Huynen MA, Snel B (2008) Complex fate of paralogs. BMC Evol Biol. https://doi.org/10.1186/1471-2148-8-337
Teufel AI, Johnson MM, Laurent JM et al (2018) Withdrawn as duplicate: the many nuanced evolutionary consequences of duplicated genes. Mol Biol Evol 35:e1. https://doi.org/10.1093/molbev/msy216
Vandersluis B, Bellay J, Musso G et al (2010) Genetic interactions reveal the evolutionary trajectories of duplicate genes. Mol Syst Biol. https://doi.org/10.1038/msb.2010.82
Vankuren NW, Long M (2018) Gene duplicates resolving sexual conflict rapidly evolved essential gametogenesis functions. Nat Ecol Evol. https://doi.org/10.1038/s41559-018-0471-0
Vavouri T, Semple JI, Lehner B (2008) Widespread conservation of genetic redundancy during a billion years of eukaryotic evolution. Trends Genet. https://doi.org/10.1016/j.tig.2008.08.005
Visser JAGM, Hermisson J, Wagner GP et al (2003) Perspective: evolution and detection of genetic robustness. Evolution. https://doi.org/10.1111/j.0014-3820.2003.tb00377.x
Wagner A (2000) Robustness against mutations in genetic networks of yeast. Nat Genet. https://doi.org/10.1038/74174
Wang Y, Gu X (2000) Evolutionary patterns of gene families generated in the early stage of vertebrates. J Mol Evol. https://doi.org/10.1007/s002390010159
Wang T, Birsoy K, Hughes NW et al (2015) Identification and characterization of essential genes in the human genome. Science. https://doi.org/10.1126/science.aac7041
Zeng Y, Gu X (2010) Genome factor and gene pleiotropy hypotheses in protein evolution. Biol Direct. https://doi.org/10.1186/1745-6150-5-37
Zhang Z, Gu J, Gu X (2004) How much expression divergence after yeast gene duplication could be explained by regulatory motif evolution? Trends Genet. https://doi.org/10.1016/j.tig.2004.07.006
Zhang W, Landback P, Gschwend AR et al (2015) New genes drive the evolution of gene interaction networks in the human and mouse genomes. Genome Biol. https://doi.org/10.1186/s13059-015-0772-4
Zhou Z, Zhou J, Su Z, Gu X (2014) Asymmetric evolution of human transcription factor regulatory networks. Mol Biol Evol. https://doi.org/10.1093/molbev/msu163
Zou Y, Huang W, Gu Z, Gu X (2011) Predominant gain of promoter TATA box after gene duplication associated with stress responses. Mol Biol Evol. https://doi.org/10.1093/molbev/msr116
Zou Y, Su Z, Huang W, Gu X (2012) Histone modification pattern evolution after yeast gene duplication. BMC Evol Biol. https://doi.org/10.1186/1471-2148-12-111
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The author is grateful to all members of the research group for constructive comments in the early version of this manuscript.
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Gu, X. A Simple Evolutionary Model of Genetic Robustness After Gene Duplication. J Mol Evol 90, 352–361 (2022). https://doi.org/10.1007/s00239-022-10065-1
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DOI: https://doi.org/10.1007/s00239-022-10065-1