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Studies on functional differentiation of xpr1a and xpr1b genes in zebrafish.

Xenotropic and polytropic retrovirus receptor 1 (XPR1) is known to be involved in various biological processes, including phosphate homeostasis, cellular signaling, brain and vascular mineralization, whereas its specific contribution to bone development remains incompletely characterized. Due to genome duplication in teleosts, zebrafish Danio rerio possess two paralogous genes of XPR1 namely xpr1a and xpr1b, whose functional divergence remains unclear. The amino acid sequence similarity between zebrafish xpr1a and xpr1b was 83.26%. In situ hybridization demonstrated overlapping localization in the head and spinal cord at 24-48 hpf, while diverged by 72 hpf, with xpr1a becoming restricted to the head while xpr1b persisted in both regions. CRISPR/Cas9 was used to generate xpr1a and xpr1b mutants. The xpr1a mutants are comparatively healthy, viable but with mild growth reduction, whereas the xpr1b mutants display high mortality, reduced body length and severe vertebral deformities. Interestingly, all the double mutants died at the embryonic stage. Moreover, to further investigate the molecular and regulatory mechanisms, we conducted comparative transcriptome analysis on bone and brain tissues from xpr1b+/+ and xpr1b-/- zebrafish. In bone tissue, 6749 DEGs were identified, comprising 3846 upregulated and 2903 downregulated genes. These DEGs were mainly enriched in the MAPK signaling pathway, Wnt signaling pathway, cysteine and methionine metabolism, and ECM-receptor interaction. RT-qPCR validated results showed that seven osteogenesis-related genes (col1a1a, sp7, runx2b, col1a2, col1a1b, alp1 and entpd5), and two phosphate homeostasis related genes (slc20a2 and pdgfba), which are essential for skeletal mineralization and phosphate homeostasis, exhibited significantly downregulated expression in bone tissue of xpr1b mutant zebrafish. These results highlight the pivotal role of xpr1b in regulating skeletal mineralization and phosphate metabolism, thereby elucidating the functional specialization of XPR1 paralogs while providing a theoretical basis for understanding bone developmental mechanism in teleost vertebrates.

Animals↗

Characterization and tissue distribution of multiple agouti-family genes in pufferfish, Takifugu rubripes.

Four types of agouti-family genes (AGRP1, AGRP2, ASIP1 and ASIP2) were obtained from torafugu, Takifugu rubripes. Their characterization and structure were analyzed to elucidate the relationship among the torafugu agouti-family genes. Both AGRP1 and AGRP2 showed genomic synteny with the human AGRP gene. Phylogenetic tree analysis showed that AGRP1 formed a cluster with human AGRP. We inferred that torafugu AGRP1 and AGRP2 are orthologs of human AGRP and that they are paralogous genes derived from genome duplication occurred in the teleost phylogeny. Torafugu ASIP1 showed genomic synteny with the human ASIP, but ASIP2 did not. The ASIP1 expression level was about five times higher in the white ventral skin than in the black dorsal skin. Therefore, we concluded that torafugu ASIP1 is an ortholog of human ASIP, nevertheless, we are unable to determine if torafugu ASIP2 is a paralog of ASIP1 or not.

Agouti Signaling Protein↗

The SPANX gene family of cancer/testis-specific antigens: rapid evolution and amplification in African great apes and hominids.

Human sperm protein associated with the nucleus on the X chromosome (SPANX) genes comprise a gene family with five known members (SPANX-A1, -A2, -B, -C, and -D), encoding cancer/testis-specific antigens that are potential targets for cancer immunotherapy. These highly similar paralogous genes cluster on the X chromosome at Xq27. We isolated and sequenced primate genomic clones homologous to human SPANX. Analysis of these clones and search of the human genome sequence revealed an uncharacterized group of genes, SPANX-N, which are present in all primates as well as in mouse and rat. In humans, four SPANX-N genes comprise a series of tandem duplicates at Xq27; a fifth member of this subfamily is located at Xp11. Similarly to SPANX-A/D, human SPANX-N genes are expressed in normal testis and some melanoma cell lines; testis-specific expression of SPANX is also conserved in mouse. Analysis of the taxonomic distribution of the long and short forms of the intron indicates that SPANX-N is the ancestral form, from which the SPANX-A/D subfamily evolved in the common ancestor of the hominoid lineage. Strikingly, the coding sequences of the SPANX genes evolved much faster than the intron and the 5' untranslated region. There is a strong correlation between the rates of evolution of synonymous and nonsynonymous codon positions, both of which are accelerated 2-fold or more compared to the noncoding sequences. Thus, evolution of the SPANX family appears to have involved positive selection that affected not only the protein sequence but also the synonymous sites in the coding sequence.

Amino Acid Sequence↗

Evolutionary dynamics of the ABCA chromosome 17q24 cluster genes in vertebrates.

ABCA is a subfamily of ATP-binding-cassette (ABC) transporter genes. In this subfamily, it was found that five ABCA genes cluster in a head-to-tail pattern in the human and mouse genomes, but only one was found in fish. To understand better the evolution of this cluster of genes, we screened 11 vertebrate genome sequences and newly identified 28 ABCA cluster genes. Comparative genomic analysis reveals that the ABCA5 gene is relatively evolutionarily conserved. In contrast, the repertoires of the other ABCA genes in this cluster diverge tremendously among species, which is due mainly to postspeciation duplications. In addition, maximum likelihood analysis reveals that positive selection is acting on the paralogous genes ABCA6 and Abca8a, suggesting that these two genes have possibly acquired new functions after duplication. Because most eukaryotic ABC proteins integrate into the cytoplasmic membrane and transport a wide range of substrates across it, we conjecture that newly duplicated ABCA cluster genes are under diversifying selection for the ability to recognize a diverse array of substrates.

ATP-Binding Cassette Transporters↗

Homology-based gene structure prediction: simplified matching algorithm using a translated codon (tron) and improved accuracy by allowing for long gaps.

MOTIVATION: Locating protein-coding exons (CDSs) on a eukaryotic genomic DNA sequence is the initial and an essential step in predicting the functions of the genes embedded in that part of the genome. Accurate prediction of CDSs may be achieved by directly matching the DNA sequence with a known protein sequence or profile of a homologous family member(s). RESULTS: A new convention for encoding a DNA sequence into a series of 23 possible letters (translated codon or tron code) was devised to improve this type of analysis. Using this convention, a dynamic programming algorithm was developed to align a DNA sequence and a protein sequence or profile so that the spliced and translated sequence optimally matches the reference the same as the standard protein sequence alignment allowing for long gaps. The objective function also takes account of frameshift errors, coding potentials, and translational initiation, termination and splicing signals. This method was tested on Caenorhabditis elegans genes of known structures. The accuracy of prediction measured in terms of a correlation coefficient (CC) was about 95% at the nucleotide level for the 288 genes tested, and 97. 0% for the 170 genes whose product and closest homologue share more than 30% identical amino acids. We also propose a strategy to improve the accuracy of prediction for a set of paralogous genes by means of iterative gene prediction and reconstruction of the reference profile derived from the predicted sequences. AVAILABILITY: The source codes for the program 'aln' written in ANSI-C and the test data will be available via anonymous FTP at ftp.genome.ad.jp/pub/genomenet/saitama-cc. CONTACT: gotoh@cancer-c.pref.saitama.jp

Algorithms↗

Genomic sequence and embryonic expression of the zebrafish homeobox gene hox-3.4.

We have analyzed the genomic DNA sequence and embryonic expression pattern of the zebrafish hox-3.4 gene. Two exons, encoding a protein with a total size of 232 amino acids, were identified within a 3.5 kbp genomic region. Besides the homeodomain, which is identical to that of the human HOX3D and mouse Hox-3.4 genes, the first 58 residues of the N-terminal domain in the predicted Hox-3.4 protein share 48% sequence identity with the gene product of the human cognate. Some of the N-terminal sequence elements are also conserved relative to the two other members of the Hox-1.3/Hox-2.1/Hox-3.4 paralogy group. In addition, the paralogous genes share a significant degree of sequence identity in non-coding regions. This conservation is particularly evident in the promoter regions of the cognates hox-3.4, Hox-3.4, and HOX3D, where a 180 bp TATA-box-containing element with a 60% identity is located. This is in agreement with the previous finding that the HOX3D promoter region contains response elements for other Hox proteins and retinoids. Also with respect to embryonic expression, the zebrafish hox-3.4 gene is very similar to its mammalian counterparts. Within the central nervous system of 16, 24, and 48 h embryos, hox-3.4 transcripts were detected throughout most of the spinal cord from a boundary at the posterior end of the hindbrain. In 16 h embryos the hox-3.4 gene is also active within a restricted region of the tailbud.

Amino Acid Sequence↗

Diverse spatial, temporal, and sexual expression of recently duplicated androgen-binding protein genes in Mus musculus.

BACKGROUND: The genes for salivary androgen-binding protein (ABP) subunits have been evolving rapidly in ancestors of the house mouse Mus musculus, as evidenced both by recent and extensive gene duplication and by high ratios of nonsynonymous to synonymous nucleotide substitution rates. This makes ABP an appropriate model system with which to investigate how recent adaptive evolution of paralogous genes results in functional innovation (neofunctionalization). RESULTS: It was our goal to find evidence for the expression of as many of the Abp paralogues in the mouse genome as possible. We observed expression of six Abpa paralogues and five Abpbg paralogues in ten glands and other organs located predominantly in the head and neck (olfactory lobe of the brain, three salivary glands, lacrimal gland, Harderian gland, vomeronasal organ, and major olfactory epithelium). These Abp paralogues differed dramatically in their specific expression in these different glands and in their sexual dimorphism of expression. We also studied the appearance of expression in both late-stage embryos and postnatal animals prior to puberty and found significantly different timing of the onset of expression among the various paralogues. CONCLUSION: The multiple changes in the spatial expression profile of these genes resulting in various combinations of expression in glands and other organs in the head and face of the mouse strongly suggest that neofunctionalization of these genes, driven by adaptive evolution, has occurred following duplication. The extensive diversification in expression of this family of proteins provides two lines of evidence for a pheromonal role for ABP: 1) different patterns of Abpa/Abpbg expression in different glands; and 2) sexual dimorphism in the expression of the paralogues in a subset of those glands. These expression patterns differ dramatically among various glands that are located almost exclusively in the head and neck, where the sensory organs are located. Since mice are nocturnal, it is expected that they will make extensive use of olfactory as opposed to visual cues. The glands expressing Abp paralogues produce secretions (lacrimal and salivary) or detect odors (MOE and VNO) and thus it appears highly likely that ABP proteins play a role in olfactory communication.

Amino Acid Sequence↗

Developmental expression patterns of Arabidopsis XTH genes reported by transgenes and Genevestigator.

The plant cell wall is the structural basis of cellular form and thus forms a foundation on which morphogenesis builds organs and tissues. Enzymes capable of modifying major wall components are prominent candidates for regulating wall form and function. Xyloglucan endotransglucosylases/hydrolases (XTHs) are predicted to participate in xyloglucan integration and/or restructuring. XTHs are encoded by large gene families in plants; the Arabidopsis genome encodes 33 XTHs. To gain insight into the potential physiological relevance of the distinct members of this family, GUS reporter fusion genes were constructed, and plants expressing these transgenes were characterized to reveal spatial and temporal patterns of expression. In addition, Genevestigator sources were mined for comprehensive and comparative XTH expression regulation analysis. These data reveal that the Arabidopsis XTHs are likely expressed in every developmental stage from seed germination through flowering. All organs show XTH::GUS expression and most, if not all, are found to express multiple XTH::GUS genes. These data suggest that XTHs may contribute to morphogenesis at every developmental stage and in every plant organ. Different XTHs have remarkably diverse and distinct expression patterns indicating that paralogous genes have evolved differential expression regulation perhaps contributing to the maintenance of the large gene family. Extensive overlap in XTH expression patterns is evident; thus, XTHs may act combinatorially in determining wall properties of specific tissues or organs. Knowledge of gene-specific expression among family members yields evidence of where and when gene products may function and provides insights to guide rational approaches to investigate function through reverse genetics.

Arabidopsis↗

Multiple copies of ammonia monooxygenase (amo) operons have evolved under biased AT/GC mutational pressure in ammonia-oxidizing autotrophic bacteria.

The recent availability of complete sequences of ammonia monooxygenase (16 amoA, 5 amoB and 5 amoC gene sequences) and particulate methane monooxygenase (2 pmoA, pmoB and pmoC gene sequences each) genes allowed for a detailed analysis of their relatedness. Nucleotide sequence analysis was performed in order to identify the origins of the nearly identical operon copies within a given nitrosofier/methanotroph strain. Our data suggest that amo-homologous gene evolution has occurred in individual strains (orthology) under biased AT/GC pressure rather than by horizontal transfer. The multiple operon copies within individual strains are the result of operon duplication (paralogy). While the near identity of the multiple operon copies makes it impossible to determine whether paralogous gene expansion occurred in the last common ancestor of ammonia oxidizers or after speciation took place, we conclude that the duplication events were not recent events. We propose that the elimination of third basepair degeneracy between copies within one organism is implemented by a rectification mechanism resulting in concerted evolution.

Base Composition↗

Rooting the tree of life using nonubiquitous genes.

Insertion and deletion (indel)-based analyses have great potential for rooting the tree of life, but their use has been limited because they require ubiquitous sequences that have not been horizontally/laterally transferred. Very few such sequences exist. Here we describe and demonstrate a new algorithm that can use nonubiquitous sequences for rooting. This algorithm, top-down indel rooting, uses the traditional logical framework of indel rooting, but by considering gene gains and losses in addition to indel gains and losses, it is able to analyze incomplete data sets. The method is demonstrated using theoretical examples and incomplete gene sets. In particular, it is applied to the well-studied Hsp70/MreB indel, a sequence set thought to have been compromised by gene transfers from Firmicutes to archaebacteria. By sequentially assigning all observable character states, including gene absences, to the questionable archaebacterial Hsp70 and MreB sequences, we demonstrate that this gene set robustly excludes the root of the tree of life from the Gram-negative, double-membrane prokaryotes independently of the archaeal character states. There are very few ubiquitous paralog gene sets, and most of them contain compromised data. The ability of top-down rooting to use incomplete and/or compromised gene sets promises to make rooting analyses more robust and to greatly increase the number of useful indel sets.

Algorithms↗

Genes and proteins of Escherichia coli K-12.

GenProtEC is a database of Escherichia coli genes and their gene products, classified by type of function and physiological role and with citations to the literature for each. Also present are data on sequence similarities among E.coli proteins, representing groups of paralogous genes, with PAM values, percent identity of amino acids, length of alignment and percent aligned. GenProtEC can be accessed at the URL http://www.mbl.edu/html/ecoli.html

Bacterial Proteins↗

Diversity of ribosomes at the level of rRNA variation associated with human health and disease.

Ribosomal DNA and RNA (rDNA and rRNA) sequences are usually discarded from sequencing analyses. But with hundreds of copies of rDNA genes it is unknown whether they possess sequence variations that form different types of ribosomes that affect human physiology and disease. Here, we developed an algorithm for variant-calling between paralog genes (termed RGA) and compared rDNA variations found in short- and long-read sequencing data from the 1,000 Genomes Project (1KGP) and Genome In A Bottle (GIAB). We additionally developed a novel protocol for long-read sequencing full-length rRNA (RIBO-RT) from actively translating ribosomes. Our analyses identified hundreds of rDNA variants, most of which, surprisingly, are short insertion-deletions (indels) and dozens of highly abundant rRNA variants that are incorporated into translationally active ribosomes. To visualize variant ribosomes at the single cell level, we developed an in-situ rRNA sequencing method (SWITCH-seq) which revealed that variants are co-expressed within individual cells. Strikingly, by analyzing rDNA, we found that variants assemble into distinct ribosome subtypes. We discovered that these subtypes acquire different rRNA structures by successfully employing dimethyl sulfate (DMS) probing of full length rRNA. With this atlas we investigated rRNA variation changes across human tissues and cancer types. This revealed tissue-specific rRNA subtype expression in endoderm/ectoderm-derived tissues. In cancer, low abundant rRNA variants can become highly expressed, which suggests the presence of cancer-specific ribosomes. Together, this study identifies and comprehensively characterizes the diversity of ribosomes at the level of rRNA variants which is dominated by indel variants, their chromosomal location and unique structure as well as the association of ribosome variation with tissue-specific biology and cancer.

Journal Article↗

Chromosomal DNA deletions explain phenotypic characteristics of two antigenic variants, phase II and RSA 514 (crazy), of the Coxiella burnetii nine mile strain.

After repeated passages through embyronated eggs, the Nine Mile strain of Coxiella burnetii exhibits antigenic variation, a loss of virulence characteristics, and transition to a truncated lipopolysaccharide (LPS) structure. In two independently derived strains, Nine Mile phase II and RSA 514, these phenotypic changes were accompanied by a large chromosomal deletion (M. H. Vodkin and J. C. Williams, J. Gen. Microbiol. 132:2587-2594, 1986). In the work reported here, additional screening of a cosmid bank prepared from the wild-type strain was used to map the deletion termini of both mutant strains and to accumulate all the segments of DNA that comprise the two deletions. The corresponding DNAs were then sequenced and annotated. The Nine Mile phase II deletion was completely nested within the deletion of the RSA 514 strain. Basic alignment and homology studies indicated that a large group of LPS biosynthetic genes, arranged in an apparent O-antigen cluster, was deleted in both variants. Database homologies identified, in particular, mannose pathway genes and genes encoding sugar methylases and nucleotide sugar epimerase-dehydratase proteins. Candidate genes for addition of sugar units to the core oligosaccharide for synthesis of the rare sugar 6-deoxy-3-C-methylgulose (virenose) were identified in the deleted region. Repeats, redundancies, paralogous genes, and two regions with reduced G+C contents were found within the deletions.

Antigenic Variation↗

Evolution of glutamine synthetase in heterokonts: evidence for endosymbiotic gene transfer and the early evolution of photosynthesis.

Although the endosymbiotic evolution of chloroplasts through primary and secondary associations is well established, the evolutionary timing and stability of the secondary endosymbiotic events is less well resolved. Heterokonts include both photosynthetic and nonphotosynthetic members and the nonphotosynthetic lineages branch basally in phylogenetic reconstructions. Molecular and morphological data indicate that heterokont chloroplasts evolved via a secondary endosymbiosis, involving a heterotrophic host cell and a photosynthetic ancestor of the red algae and this endosymbiotic event may have preceded the divergence of heterokonts and alveolates. If photosynthesis evolved early in this lineage, nuclear genomes of the nonphotosynthetic groups may contain genes that are not essential to photosynthesis but were derived from the endosymbiont genome through gene transfer. These genes offer the potential to trace the evolutionary history of chloroplast gains and losses within these lineages. Glutamine synthetase (GS) is essential for ammonium assimilation and glutamine biosynthesis in all organisms. Three paralogous gene families (GSI, GSII, and GSIII) have been identified and are broadly distributed among prokaryotic and eukaryotic lineages. In diatoms (Heterokonta), the nuclear-encoded chloroplast and cytosolic-localized GS isoforms are encoded by members of the GSII and GSIII family, respectively. Here, we explore the evolutionary history of GSII in both photosynthetic and nonphotosynthetic heterokonts, red algae, and other eukaryotes. GSII cDNA sequences were obtained from two species of oomycetes by polymerase chain reaction amplification. Additional GSII sequences from eukaryotes and bacteria were obtained from publicly available databases and genome projects. Bayesian inference and maximum likelihood phylogenetic analyses of GSII provided strong support for the monophyly of heterokonts, rhodophytes, chlorophytes, and plants and strong to moderate support for the Opisthokonts. Although the phylogeny is reflective of the unikont/bikont division of eukaryotes, we propose based on the robustness of the phylogenetic analyses that the heterokont GSII gene evolved via endosymbiotic gene transfer from the nucleus of the red-algal endosymbiont to the nucleus of the host. The lack of GSIII sequences in the oomycetes examined here further suggests that the GSIII gene that functions in the cytosol of photosynthetic heterokonts was replaced by the endosymbiont-derived GSII gene.

Amino Acid Sequence↗

Functional conservation of a root hair cell-specific cis-element in angiosperms with different root hair distribution patterns.

Vascular plants develop distinctive root hair distribution patterns in the root epidermis, depending on the taxon. The three patterns, random (Type 1), asymmetrical cell division (Type 2), and positionally cued (Type 3), are controlled by different upstream fate-determining factors that mediate expression of root hair cell-specific genes for hair morphogenesis. Here, we address whether these root hair genes possess a common transcriptional regulatory module (cis-element) determining cell-type specificity despite differences in the final root hair pattern. We identified Arabidopsis thaliana expansinA7 (At EXPA7) orthologous (and paralogous) genes from diverse angiosperm species with different hair distribution patterns. The promoters of these genes contain conserved root hair-specific cis-elements (RHEs) that were functionally verified in the Type-3 Arabidopsis root. The promoter of At EXPA7 (Type-3 pattern) also showed hair cell-specific expression in the Type 2 rice (Oryza sativa) root. Root hair-specific genes other than EXPAs also carry functionally homologous RHEs in their promoters. The RHE core consensus was established by a multiple alignment of functionally characterized RHEs from different species and by high-resolution analysis of At EXPA7 RHE1. Our results suggest that this regulatory module of root hair-specific genes has been conserved across angiosperms despite the divergence of upstream fate-determining machinery.

Arabidopsis Proteins↗

A hot spot for RAD51C interactions revealed by a peptide that sensitizes cells to cisplatin.

DNA repair via the homologous recombination pathway requires the recombinase RAD51 and, in vertabrates, five RAD51 paralogs. The paralogs form two complexes in solution, a XRCC3/RAD51C heterodimer and a RAD51B/RAD51C/RAD51D/XRCC2 heterotetramer. Mutation of any one of the five paralog genes prevents subnuclear assembly of recombinase at damaged sites and renders cells 30-100 fold sensitive to DNA cross-linking drugs. Phage display was used to isolate peptides that bind the paralog XRCC3. Sequences of binding peptides showed similarity to residues 14-25 of RAD51C protein. Point mutations in this region of RAD51C altered its interaction with both XRCC3 and RAD51B in a two-hybrid system. A synthetic peptide composed of residues 14-25 of RAD51C fused to a membrane transduction sequence [protein transduction domain 4 (PTD4)], inhibited subnuclear assembly of RAD51 recombinase, and sensitized Chinese hamster ovary cells to cisplatin when added to growth medium. These results suggest that residues 14-25 of RAD51C contribute to a "hot spot" used in both XRCC3-RAD51C and RAD51B-RAD51C interactions. Peptide-based inhibition of homologous recombination may prove useful for improving the efficacy of existing cancer therapies.

Amino Acid Sequence↗

Identification and characterization of two novel calpain large subunit genes.

Calpains are a family of related proteins, some of which have been shown to function as calcium-dependent cysteine proteases. CAPN1 and CAPN2, the most well characterized calpains, consist of a large (80 kDa) and a small (30 kDa) subunit. In mammals, 11 different paralogous genes encoding calpain large subunits have been identified. We report the identification of two further genes, CAPN13 and CAPN14, potentially encoding calpain large subunits. Radiation hybrid mapping localized both genes within a region mapped to 2p21-2p22. The CAPN13 mRNA exhibits a restricted tissue distribution with low levels of expression detected only in human testis and lung while CAPN14 mRNA could not be detected in any of the 76 tissues examined. Examination of the human genome sequence in the public and private consortia databases did not detect any further members of this gene family. Thus, there would seem to be 13 large subunit calpain genes in the human genome. Phylogenetic analysis reveals that the putative calpain large subunit proteins can be divided into three major groups. The 13 human large subunit genes and the single small subunit gene are located in eight syntenic groups on chromosomes 1, 2, 3, 6, 11, 15, 19 and X.

Amino Acid Sequence↗

Theoretical and practical advances in genome halving.

MOTIVATION: Duplication of an organism's entire genome is a rare but spectacular event, enabling the rapid emergence of multiple new gene functions. Over time, the parallel linkage of duplicated genes across chromosomes may be disrupted by reciprocal translocations, while the intra-chromosomal order of genes may be shuffled by inversions and transpositions. Some duplicate genes may evolve unrecognizably or be deleted. As a consequence, the only detectable signature of an ancient duplication event in a modern genome may be the presence of various chromosomal segments containing parallel paralogous genes, with each segment appearing exactly twice in the genome. The problem of reconstructing the linkage structure of an ancestral genome before duplication is known as genome halving with unordered chromosomes. RESULTS: In this paper, we derive a new upper bound on the genome halving distance that is tighter than the best known, and a new lower bound that is almost always tighter than the best known. We also define the notion of genome halving diameter, and obtain both upper and lower bounds for it. Our tighter bounds on genome halving distance yield a new algorithm for reconstructing an ancestral duplicated genome. We create a software package GenomeHalving based on this new algorithm and test it on the yeast genome, identifying a sequence of translocations for halving the yeast genome that is shorter than previously conjectured possible.

Algorithms↗