subfunctionalization

亚功能化
  • 文章类型: Journal Article
    蛋白质水平的功能创新是进化新颖性的关键来源。对功能创新的限制可能在不同的蛋白质中具有高度特异性,它们是由它们独特的历史和从它们的结构和生物化学中产生的全球认识论的程度塑造的。序列-功能关系中的这些上下文细微差别对于对进化过程的基本理解以及对具有理想特性的工程蛋白质都具有意义。这里,我们已经研究了古代模型成员的新功能的分子基础,保守的,和生物技术相关的蛋白质家族。这些主要的促进者超家族糖转运蛋白是一组功能多样的蛋白质,被认为是高度可塑性和可进化的。通过解剖酵母酵母中α-葡糖苷转运蛋白的最新进化创新,我们表明,转运新底物的能力需要许多蛋白质区域与转运通道附近的许多特定残基之间的高阶相互作用。为了调和该家族的功能多样性与该模型蛋白质的受限进化,我们产生了新的,332种酵母菌种的最新基因组注释,跨越约4亿年的进化。通过整合这些物种的系统发育和表型分析,我们表明,模型酵母α-葡糖苷转运蛋白可能是从多功能祖先进化而来的,并成为亚功能化的。加性和上位性替代的积累可能使这一子功能根深蒂固,这使得同时获取多个交互替换成为唯一合理获取新颖性的途径。
    Functional innovation at the protein level is a key source of evolutionary novelties. The constraints on functional innovations are likely to be highly specific in different proteins, which are shaped by their unique histories and the extent of global epistasis that arises from their structures and biochemistries. These contextual nuances in the sequence-function relationship have implications both for a basic understanding of the evolutionary process and for engineering proteins with desirable properties. Here, we have investigated the molecular basis of novel function in a model member of an ancient, conserved, and biotechnologically relevant protein family. These Major Facilitator Superfamily sugar porters are a functionally diverse group of proteins that are thought to be highly plastic and evolvable. By dissecting a recent evolutionary innovation in an α-glucoside transporter from the yeast Saccharomyces eubayanus, we show that the ability to transport a novel substrate requires high-order interactions between many protein regions and numerous specific residues proximal to the transport channel. To reconcile the functional diversity of this family with the constrained evolution of this model protein, we generated new, state-of-the-art genome annotations for 332 Saccharomycotina yeast species spanning approximately 400 million years of evolution. By integrating phylogenetic and phenotypic analyses across these species, we show that the model yeast α-glucoside transporters likely evolved from a multifunctional ancestor and became subfunctionalized. The accumulation of additive and epistatic substitutions likely entrenched this subfunction, which made the simultaneous acquisition of multiple interacting substitutions the only reasonably accessible path to novelty.
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  • 文章类型: Journal Article
    斑马鱼是一种无价的模式生物,发展,和疾病研究。尽管它对人类的高度保护经常被认为是使用它的理由,斑马鱼拥有经常被忽视的遗传特征,这些特征可能为基因结构和功能提供独特的见解。斑马鱼,和其他硬骨鱼一样,从四足动物中分裂出来后,又进行了一轮全基因组复制-与其他脊椎动物相比,导致了大量的重复基因。在随后的3.5亿年中,这些重复的基因以不同的方式进化。因此,一个重复的基因对中的每个基因都有细微差别,从而创造了一个独特的身份。通过一起调查基因对的两个成员,我们可以阐明蛋白质结构和功能背后的机制,并驱动生物系统内复杂的相互作用,如信号转导级联,遗传调控网络,以及组织和器官功能的进化。利用这些研究来探索这些分子动力学至关重要,这可能对基础科学和治疗发展产生深远的影响。这里,我们将回顾基因重复的作用以及这些事件发生后基因分歧和保留的现有模型。我们还将重点介绍每个模型中的示例,其中比较斑马鱼中重复基因的研究已经产生了对蛋白质结构的关键见解,函数,和监管。
    The zebrafish is an invaluable model organism for genetic, developmental, and disease research. Although its high conservation with humans is often cited as justification for its use, the zebrafish harbors oft-ignored genetic characteristics that may provide unique insights into gene structure and function. Zebrafish, along with other teleost fish, underwent an additional round of whole genome duplication after their split from tetrapods-resulting in an abundance of duplicated genes when compared to other vertebrates. These duplicated genes have evolved in distinct ways over the ensuing 350 million years. Thus, each gene within a duplicated gene pair has nuanced differences that create a unique identity. By investigating both members of the gene pair together, we can elucidate the mechanisms that underly protein structure and function and drive the complex interplay within biological systems, such as signal transduction cascades, genetic regulatory networks, and evolution of tissue and organ function. It is crucial to leverage such studies to explore these molecular dynamics, which could have far-reaching implications for both basic science and therapeutic development. Here, we will review the role of gene duplications and the existing models for gene divergence and retention following these events. We will also highlight examples within each of these models where studies comparing duplicated genes in the zebrafish have yielded key insights into protein structure, function, and regulation.
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  • 文章类型: Journal Article
    基因复制是一个基本的进化过程,为获得新的基因功能提供了机会。在蟑螂和近亲昆虫的胰岛素受体(InRs)的情况下,两个连续的重复确定了三个InR基因的发生:InR2,InR1和InR3,最后两个形成InR2的姐妹簇。每个基因重复的生物学作用以及它们是由新功能化还是亚功能化引起的尚不清楚。对来自不同谱系的序列的分析没有检测到阳性选择作为驱动InR1和InR3的分歧,丢弃新功能化,并表明两个基因拷贝之间没有功能差异。用德国蟑螂作为模型,我们已经确定BgInR2是所有分析组织中表达水平最高的基因,在成年女性和男性中,以及若虫和胚胎。BgInR3的表达水平第二,而BgInR1的表达水平较低并且仅在一些组织中。通过RNAi对三种InRs中每一种的选择性消耗,根据表型和脂肪体转录组学分析,导致了基本上多余的影响,其大小与各自InR的表达水平大致成比例。因此,结果表明,InR重复很可能经历了亚功能化过程,其中三个InRs保持相似的功能,但与它们的表达水平成比例地促进这些功能。
    Gene duplication is a fundamental evolutionary process which provides opportunities to acquire new gene functions. In the case of the insulin receptors (InRs) in cockroaches and close-related insects, two successive duplications determined the occurrence of three InR genes: InR2, InR1 and InR3, the last two forming a sister cluster to InR2. The biological role of each of the gene duplicates and whether they resulted from neofunctionalization or subfunctionalization is still unclear. The analysis of the sequences from different lineages did not detect positive selection as driving the divergence of InR1 and InR3, discarding neofunctionalization, and suggesting that there is no functional divergence between both gene copies. Using the cockroach Blattella germanica as a model, we have determined that BgInR2 is the gene with the highest expression levels in all the tissues analyzed, both in adult females and males, as well as in nymphs and embryos. BgInR3 is second in expression levels while BgInR1 is expressed at lower levels and only in some tissues. The selective depletion by RNAi of each of the three InRs, analyzed in terms of phenotype and fat body transcriptomic profiles, resulted in essentially redundant effects, with a magnitude approximately proportional to the level of expression of the respective InR. Therefore, the results indicate that the InR duplicates likely experienced a subfunctionalization process, by which the three InRs maintained similar functions but contributing to those functions proportionally to their expression levels.
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  • 文章类型: Journal Article
    基因复制是推动进化创新的主要力量。一个典型的例子是通过复制生理蛋白质编码基因并募集到毒液中来产生新的动物毒素。虽然这个过程推动了许多动物毒液的创新,毒素向无毒细胞的反向募集仍未解决。使用比较基因组学,我们发现膜攻击复合体和穿孔素家族(MAC)的成员已被招募到注射毒液的细胞(CNidcytes)中,在柔软多石的珊瑚和海葵中,表明祖先MAC是一种表达毒素的细胞。进一步研究海葵Nematostellavectensis模型,揭示了三名成员经历了Nematostella特异性复制,导致他们反向募集到内中胚层细胞。此外,同时敲除所有三种内胚层表达的MAC导致发育错误,支持这些旁系同源物具有无毒功能。通过解析线虫MACs的进化历史和功能,我们为从毒液到有机体发展的反向招募提供了第一个证据。
    Gene duplication is a major force driving evolutionary innovation. A classic example is generating new animal toxins via duplication of physiological protein-encoding genes and recruitment into venom. While this process drives the innovation of many animal venoms, reverse recruitment of toxins into nonvenomous cells remains unresolved. Using comparative genomics, we find members of the Membrane Attack Complex and Perforin Family (MAC) have been recruited into venom-injecting cells (cnidocytes), in soft and stony corals and sea anemones, suggesting that the ancestral MAC was a cnidocyte expressed toxin. Further investigation into the model sea anemone Nematostella vectensis reveals that three members have undergone Nematostella-specific duplications leading to their reverse recruitment into endomesodermal cells. Furthermore, simultaneous knockdown of all three endomesodermally expressed MACs leads to mis-development, supporting that these paralogs have nonvenomous function. By resolving the evolutionary history and function of MACs in Nematostella, we provide the first proof for reverse recruitment from venom to organismal development.
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  • 文章类型: Journal Article
    水通道蛋白(Aqp)10是水通道中的水通道素亚科成员,人类Aqp10对甘油等溶质具有渗透性,尿素,和硼酸。四足类动物有一个aqp10基因,而射线鳍鱼通过串联复制具有该基因的旁系同源物,全基因组复制,以及随后的删除。先前对日本河豚Takifugurubbrips的Aqps进行的一项研究表明,一种河豚旁白,Aqp10.2b,对水和甘油是可渗透的,而不是尿素和硼酸。为了从进化的角度了解人类和河豚之间Aqp10的功能差异,我们分析了两栖动物(非洲爪狼)和叶翅鱼(Protopterusannectens)的Aqp10s,和Aqp10.1和Aqp10.2来自几种鱼翅(Polypterussenegalus,眼鱼,Daniorerio和Clupeapallasii)。四足动物和叶翅类鱼Aqp10s和Aqp10.1衍生的Aqps在非洲爪的卵母细胞中的表达增加了膜对水的渗透性,甘油,尿素和硼酸。相比之下,射线鳍鱼中Aqp10.2衍生的Aqps增加了水和甘油的渗透性,而尿素和硼酸的含量比Aqp10.1衍生的Aqps弱得多。这些结果表明,水,甘油,尿素,和硼酸渗透率是Aqp10s的多态活动,射线鳍鱼特有的Aqp10.2旁系同源物其次降低或损失了尿素和硼酸的渗透性。
    Aquaporin (Aqp) 10 is a member of the aquaglyceroporin subfamily of water channels, and human Aqp10 is permeable to solutes such as glycerol, urea, and boric acid. Tetrapods have a single aqp10 gene, whereas ray-finned fishes have paralogs of this gene through tandem duplication, whole-genome duplication, and subsequent deletion. A previous study on Aqps in the Japanese pufferfish Takifugu rubripes showed that one pufferfish paralog, Aqp10.2b, was permeable to water and glycerol, but not to urea and boric acid. To understand the functional differences of Aqp10s between humans and pufferfish from an evolutionary perspective, we analyzed Aqp10s from an amphibian (Xenopus laevis) and a lobe-finned fish (Protopterus annectens) and Aqp10.1 and Aqp10.2 from several ray-finned fishes (Polypterus senegalus, Lepisosteus oculatus, Danio rerio, and Clupea pallasii). The expression of tetrapod and lobe-finned fish Aqp10s and Aqp10.1-derived Aqps in ray-finned fishes in Xenopus oocytes increased the membrane permeabilities to water, glycerol, urea, and boric acid. In contrast, Aqp10.2-derived Aqps in ray-finned fishes increased water and glycerol permeabilities, whereas those of urea and boric acid were much weaker than those of Aqp10.1-derived Aqps. These results indicate that water, glycerol, urea, and boric acid permeabilities are plesiomorphic activities of Aqp10s and that the ray-finned fish-specific Aqp10.2 paralogs have secondarily reduced or lost urea and boric acid permeability.
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  • 文章类型: Journal Article
    许多证据表明植物中存在遗传功能多样化,尽管与功能多样化在植物次生细胞壁(SCW)进化中的作用相关的文献很少在最近的背景下进行汇编和综述。这篇综述旨在阐明,通过检查与其生物合成和维持相关的基因系统发育,功能多样化在塑造关键方面的作用,动态,和特征性的细胞器,次生细胞壁。可以断言,存在由基因复制和随后的功能差异产生的基因家族,并且严重参与SCW生物合成和维持。此外,多元化将成为SCW许多功能特征演变背后的重要驱动力。首先探讨植物细胞壁及其成分的结构和功能,随后讨论了基因复制现象以及由此可能出现的遗传功能差异。最后,SCW的主要组成部分及其与重复和分歧的个人关系将根据当前对该主题的了解程度进行审查。
    Much evidence exists suggesting the presence of genetic functional diversification in plants, though literature associated with the role of functional diversification in the evolution of the plant secondary cell wall (SCW) has sparsely been compiled and reviewed in a recent context. This review aims to elucidate, through the examination of gene phylogenies associated with its biosynthesis and maintenance, the role of functional diversification in shaping the critical, dynamic, and characteristic organelle, the secondary cell wall. It will be asserted that gene families resulting from gene duplication and subsequent functional divergence are present and are heavily involved in SCW biosynthesis and maintenance. Furthermore, diversification will be presented as a significant driver behind the evolution of the many functional characteristics of the SCW. The structure and function of the plant cell wall and its constituents will first be explored, followed by a discussion on the phenomenon of gene duplication and the resulting genetic functional divergence that can emerge. Finally, the major constituents of the SCW and their individual relationships with duplication and divergence will be reviewed to the extent of current knowledge on the subject.
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  • 文章类型: Journal Article
    缺氧诱导因子1(HIF-1)是一种重要的转录因子,可通过调节多种生命活动来恢复体内的氧平衡。在经历了硬骨鱼特异性基因组复制后,在鲤鱼中保留了两个HIF-1α拷贝。HIF-1αA和HIF-1αB的“不同合作”如何在低氧应激下调节鲤鱼细胞的线粒体自噬和凋亡尚不清楚。在这项研究中,构建了斑马鱼HIF-1αA/B表达质粒,并将其转染到乳头上皮瘤细胞中,并进行低氧应激。缺氧时,HIF-1αA通过促进ROS生成和线粒体去极化诱导细胞凋亡。相反,HIF-1αB主要负责线粒体自噬诱导,促使ATP产生以减轻细胞凋亡。HIF-1αA不诱导线粒体和溶酶体共定位,但参与调节不同的线粒体自噬途径。HIF-1αA的过表达增加了bnip3,fundc1,Beclin1和foxo3的表达,表明其在线粒体自噬和细胞死亡中具有双重作用。在线粒体电子传递链(ETC)的复合物调节中,每个重复的拷贝也经历了功能分歧和靶标转移。我们的发现揭示了斑马鱼中HIF-1αA和HIF-1αB的亚功能化后功能,以微调缺氧暴露后线粒体自噬和凋亡的调节。
    Hypoxia-inducible factor 1 (HIF-1) is a crucial transcriptional factor that can restore oxygen balance in the body by regulating multiple vital activities. Two HIF-1α copies were retained in cyprinid fish after experiencing a teleost-specific genome duplication. How the \"divergent collaboration\" of HIF-1αA and HIF-1αB proceeds in regulating mitophagy and apoptosis under hypoxic stress in cells of cyprinid fish remains unclear. In this study, zebrafish HIF-1αA/B expression plasmids were constructed and transfected into the epithelioma papulosum cyprini cells and were subjected to hypoxic stress. HIF-1αA induced apoptosis through promoting ROS generation and mitochondrial depolarization when cells were subjected to oxygen deficiency. Conversely, HIF-1αB was primarily responsible for mitophagy induction, prompting ATP production to mitigate apoptosis. HIF-1αA did not induce mitophagy in the mitochondria and lysosomes co-localization assay but it was involved in the regulation of different mitophagy pathways. Over-expression of HIF-1αA increased the expression of bnip3, fundc1, Beclin1, and foxo3, suggesting it has a dual role in mitochondrial autophagy and cell death. Each duplicated copy also experienced functional divergence and target shifting in the regulation of complexes in the mitochondrial electron transport chain (ETC). Our findings shed light on the post-subfunctionalization function of HIF-1αA and HIF-1αB in zebrafish to fine-tune regulation of mitophagy and apoptosis following hypoxia exposure.
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  • 文章类型: Journal Article
    原核生物基因组和宏基因组的不断增加的多样性的可用性代表了理解和破译微生物生物合成途径的功能多样化背后的机制的主要机会。然而,尚不清楚从特定前体产生特定分子的途径可以在多大程度上多样化。在这项研究中,我们专注于泛醌(UQ)的生物合成,一种关键的辅酶,对生物能量学和Eukarya和Pseudomonadota(以前称为变形杆菌的一个亚组)中多种酶的功能至关重要。UQ生物合成涉及在连续碳原子上的三个羟基化反应。我们和其他人先前已经表明,这些反应是由不同组的UQ-羟化酶催化的,这些酶属于铁依赖性Coq7家族或更广泛的黄素单加氧酶(FMO)家族。这里,我们将实验方法与比较基因组学和系统发育学相结合,以揭示UQ-羟化酶如何在UQ途径的约束框架内进化出不同的选择性。表明,UQ-FMO通过至少三个重复事件而多样化,这些重复事件与两个新功能化案例和一个亚功能化案例相关,导致六个具有不同羟基化选择性的亚家族。我们还展示了UbiM酶的多次转移和UQ-FMOs向相同功能的趋同进化,这导致Coq7祖先酶的两个独立损失。因此,这种关键的生物合成途径的多样化是通过平行进化的组合而发生的。基因重复,转账,和损失。
    The availability of an ever-increasing diversity of prokaryotic genomes and metagenomes represents a major opportunity to understand and decipher the mechanisms behind the functional diversification of microbial biosynthetic pathways. However, it remains unclear to what extent a pathway producing a specific molecule from a specific precursor can diversify. In this study, we focus on the biosynthesis of ubiquinone (UQ), a crucial coenzyme that is central to the bioenergetics and to the functioning of a wide variety of enzymes in Eukarya and Pseudomonadota (a subgroup of the formerly named Proteobacteria). UQ biosynthesis involves three hydroxylation reactions on contiguous carbon atoms. We and others have previously shown that these reactions are catalyzed by different sets of UQ-hydroxylases that belong either to the iron-dependent Coq7 family or to the more widespread flavin monooxygenase (FMO) family. Here, we combine an experimental approach with comparative genomics and phylogenetics to reveal how UQ-hydroxylases evolved different selectivities within the constrained framework of the UQ pathway. It is shown that the UQ-FMOs diversified via at least three duplication events associated with two cases of neofunctionalization and one case of subfunctionalization, leading to six subfamilies with distinct hydroxylation selectivity. We also demonstrate multiple transfers of the UbiM enzyme and the convergent evolution of UQ-FMOs toward the same function, which resulted in two independent losses of the Coq7 ancestral enzyme. Diversification of this crucial biosynthetic pathway has therefore occurred via a combination of parallel evolution, gene duplications, transfers, and losses.
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  • 文章类型: Journal Article
    背景:基因重复事件对于新基因功能的进化至关重要。怀旧是不同发展过程的主要调节器。它以其在动物附属物发育中的作用而闻名。然而,最近,已经描述了该基因及其重复的其他独特生物学功能。蝴蝶和飞蛾有两个怀旧的副本,aristaless1(al1)和aristaless2(al2),作为基因复制事件的结果。Heliconius先前的工作表明,这两个副本似乎都具有与机翼颜色图案相关的新颖功能。在这里,我们扩展了与Al1在胚胎发生和机翼色素沉着中的祖先和新功能相关的表达谱的知识。此外,我们表征了Al2表达,提供同一物种内基因拷贝之间的比较框架,让我们了解基因复制后新功能的起源。
    结果:我们的工作表明,Al1和Al2的表达均与感觉附件的祖先功能有关(腿,嘴,刺,和眼睛)在胚胎中的发育。有趣的是,Al1在胚胎发生的早期表现出更高的表达,而最高水平的Al2表达转移到胚胎发育的后期。此外,Al1定位出现核外,而Al2较早与核共定位紧密,然后在后来的发展中也扩展到核外。Al1和Al2在p翅中的细胞表达与胚胎发生过程中观察到的模式基本一致。我们还描述了,第一次,在胚胎生长过程中,Al1定位如何与身体的前/后伸长区域相关,展示了与先前描述的在附属物扩展中的角色有关的可能的新功能。
    结论:总体而言,我们的数据表明,虽然这两个基因拷贝在胚胎发生和翅膀色素沉着中起作用,这些重复在这些功能上在时间和机械上都有分歧。我们的研究有助于阐明基因复制事件后与发育功能相关的亚功能化和基因表达进化背后的原理。
    Gene duplication events are critical for the evolution of new gene functions. Aristaless is a major regulator of distinct developmental processes. It is most known for its role during appendage development across animals. However, more recently other distinct biological functions have been described for this gene and its duplicates. Butterflies and moths have two copies of aristaless, aristaless1 (al1) and aristaless2 (al2), as a result of a gene duplication event. Previous work in Heliconius has shown that both copies appear to have novel functions related to wing color patterning. Here we expand our knowledge of the expression profiles associated with both ancestral and novel functions of Al1 across embryogenesis and wing pigmentation. Furthermore, we characterize Al2 expression, providing a comparative framework between gene copies within the same species, allowing us to understand the origin of new functions following gene duplication.
    Our work shows that the expression of both Al1 and Al2 is associated with the ancestral function of sensory appendage (leg, mouth, spines, and eyes) development in embryos. Interestingly, Al1 exhibits higher expression earlier in embryogenesis while the highest levels of Al2 expression are shifted to later stages of embryonic development. Furthermore, Al1 localization appears extranuclear while Al2 co-localizes tightly with nuclei earlier, and then also expands outside the nucleus later in development. Cellular expression of Al1 and Al2 in pupal wings is broadly consistent with patterns observed during embryogenesis. We also describe, for the first time, how Al1 localization appears to correlate with zones of anterior/posterior elongation of the body during embryonic growth, showcasing a possible new function related to Aristaless\' previously described role in appendage extension.
    Overall, our data suggest that while both gene copies play a role in embryogenesis and wing pigmentation, the duplicates have diverged temporally and mechanistically across those functions. Our study helps clarify principles behind sub-functionalization and gene expression evolution associated with developmental functions following gene duplication events.
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  • 文章类型: Journal Article
    背景:基因复制是基因组扩展的重要过程,有时允许新的基因功能发展。重复的基因可以通过多个过程保留,无论是通过剂量平衡等过程的中间时间段,或通过亚功能化和新功能化等过程在延长的时间内。
    结果:这里,我们通过结合剂量平衡来描述亚功能化和剂量平衡之间的相互作用,以探索重复副本的选择压力,从而建立了现有的亚功能化马尔可夫模型。我们的模型使用生物物理框架结合了剂量平衡,该框架惩罚了具有化学计量不平衡蛋白质的遗传状态的适应性。这些不平衡状态导致暴露的疏水表面区域的浓度增加,导致有害的误操作。我们比较了我们的亚功能化+剂量-平衡模型(Sub+Dos)和以前的仅亚功能化(Sub-Only)模型。此比较包括保留概率如何随时间变化,取决于有效人群规模和与剂量不平衡伴侣之间的虚假相互作用相关的选择性成本。我们显示了全基因组复制和小规模复制事件的Sub-Only和SubDos模型之间的比较。
    结论:这些比较表明,在全基因组复制之后,剂量平衡作为亚官能化过程的时间依赖性选择性障碍,通过引起整体延迟,但最终导致通过亚功能化保留的基因组的更大部分。最终保留的基因组百分比较高是由替代竞争过程引起的,非功能化,在更大程度上被选择性地阻止。在小规模重复中,看到了相反的模式,在剂量平衡驱动更快的亚官能化速率的情况下,但最终导致一小部分基因组保留为重复。这种更快的亚官能化速率是因为相互作用的基因产物的剂量平衡在复制后立即受到负面影响,并且重复的丢失恢复了化学计量平衡。我们的发现支持了对剂量平衡效应敏感的基因的亚功能化,例如参与复合物的蛋白质,不是一个纯粹的中性过程。通过对化学计量不平衡的基因伴侣的更强选择,亚官能化和非官能化的速率较慢;然而,这最终导致了更大比例的亚功能化基因对。
    Gene duplication is an important process for genome expansion, sometimes allowing for new gene functions to develop. Duplicate genes can be retained through multiple processes, either for intermediate periods of time through processes such as dosage balance, or over extended periods of time through processes such as subfunctionalization and neofunctionalization.
    Here, we built upon an existing subfunctionalization Markov model by incorporating dosage balance to describe the interplay between subfunctionalization and dosage balance to explore selective pressures on duplicate copies. Our model incorporates dosage balance using a biophysical framework that penalizes the fitness of genetic states with stoichiometrically imbalanced proteins. These imbalanced states cause increased concentrations of exposed hydrophobic surface areas, which cause deleterious mis-interactions. We draw comparison between our Subfunctionalization + Dosage-Balance Model (Sub + Dos) and the previous Subfunctionalization-Only (Sub-Only) Model. This comparison includes how the retention probabilities change over time, dependent upon the effective population size and the selective cost associated with spurious interaction of dosage-imbalanced partners. We show comparison between Sub-Only and Sub + Dos models for both whole-genome duplication and small-scale duplication events.
    These comparisons show that following whole-genome duplication, dosage balance serves as a time-dependent selective barrier to the subfunctionalization process, by causing an overall delay but ultimately leading to a larger portion of the genome retained through subfunctionalization. This higher percentage of the genome that is ultimately retained is caused by the alternative competing process, nonfunctionalization, being selectively blocked to a greater extent. In small-scale duplication, the reverse pattern is seen, where dosage balance drives faster rates of subfunctionalization, but ultimately leads to a smaller portion of the genome retained as duplicates. This faster rate of subfunctionalization is because the dosage balance of interacting gene products is negatively affected immediately after duplication and the loss of a duplicate restores the stoichiometric balance. Our findings provide support that the subfunctionalization of genes that are susceptible to dosage balance effects, such as proteins involved in complexes, is not a purely neutral process. With stronger selection against stoichiometrically imbalanced gene partners, the rates of subfunctionalization and nonfunctionalization slow; however, this ultimately leads to a greater proportion of subfunctionalized gene pairs.
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