Sorting signed circular permutations by super short operations

Background

One way to estimate the evolutionary distance between two given genomes is to determine the minimum number of large-scale mutations, or genome rearrangements, that are necessary to transform one into the other. In this context, genomes can be represented as ordered sequences of genes, each gene being represented by a signed integer. If no gene is repeated, genomes are thus modeled as signed permutations of the form \(\pi =(\pi _1 \pi _2 \ldots \pi _n)\), and in that case we can consider without loss of generality that one of them is the identity permutation \(\iota _n =(1 2 \ldots n)\), and that we just need to sort the other (i.e., transform it into \(\iota _n\)). The most studied genome rearrangement events are reversals, where a segment of the genome is reversed and reincorporated at the same location; and transpositions, where two consecutive segments are exchanged. Many variants, e.g., combining different types of (possibly constrained) rearrangements, have been proposed in the literature. One of them considers that the number of genes involved, in a reversal or a transposition, is never greater than two, which is known as the problem of sorting by super short operations (or SSOs).

Results and conclusions

All problems considering SSOs in permutations have been shown to be in \(\mathsf {P}\), except for one, namely sorting signed circular permutations by super short reversals and super short transpositions. Here we fill this gap by introducing a new graph structure called cyclic permutation graph and providing a series of intermediate results, which allows us to design a polynomial algorithm for sorting signed circular permutations by super short reversals and super short transpositions.

     

Sorting by reciprocal translocations via reversals theory.

The understanding of genome rearrangements is an important endeavor in comparative genomics. A major computational problem in this field is finding a shortest sequence of genome rearrangements that transforms, or sorts, one genome into another. In this paper we focus on sorting a multi-chromosomal genome by translocations. We reveal new relationships between this problem and the well studied problem of sorting by reversals. Based on these relationships, we develop two new algorithms for sorting by reciprocal translocations, which mimic known algorithms for sorting by reversals: a score-based method building on Bergeron's algorithm, and a recursive procedure similar to the Berman-Hannenhalli method. Though their proofs are more involved, our procedures for reciprocal translocations match the complexities of the original ones for reversals.     

Sorting by restricted-length-weighted reversals

Classical sorting by reversals uses the unit-cost model, that is, each reversal consumes an equal cost. This model limits the biological meaning of sorting by reversal. Bender and his colleagues extended it by assigning a cost function f（1） = l^a for all a≥ 0, where l is the length of the reversed subsequence. In this paper, we extend their results by considering a model in which long reversals are prohibited. Using the same cost function above for permitted reversals, we present tight or nearly tight bounds for the worst-case cost of sorting by reversals. Then we develop algorithms to approximate the optimal cost to sort a given 0/1 sequence as well as a given permutation. Our proposed problems are more biologically meaningful and more algorithmically general and challenging than the problem considered by Bender et al. Furthermore, our bounds are tight and nearly tight, whereas our algorithms provide good approximation ratios compared to the optimal cost to sort 0/1 sequences or permutations by reversals.     

Sorting by weighted reversals, transpositions, and inverted transpositions.

During evolution, genomes are subject to genome rearrangements that alter the ordering and orientation of genes on the chromosomes. If a genome consists of a single chromosome (like mitochondrial, chloroplast, or bacterial genomes), the biologically relevant genome rearrangements are (1) inversions--also called reversals--where a section of the genome is excised, reversed in orientation, and reinserted and (2) transpositions, where a section of the genome is excised and reinserted at a new position in the genome; if this also involves an inversion, one speaks of an inverted transposition. To reconstruct ancient events in the evolutionary history of organisms, one is interested in finding an optimal sequence of genome rearrangements that transforms a given genome into another genome. It is well known that this problem is equivalent to the problem of "sorting" a signed permutation into the identity permutation. In this paper, we provide a 1.5-approximation algorithm for sorting by weighted reversals, transpositions and inverted transpositions for biologically realistic weights.     

Sorting of chromosomes by magnetic separation

Summary Chromosomes were isolated from Chinese hamster x human hybrid cell lines containing four and nine human chromosomes. Human genomic DNA was biotinylated by nick translation and used to label the human chromosomes by in situ hybridization in suspension. Streptavidin was covalently coupled to the surface of magnetic beads and these were incubated with the hybridized chromosomes. The human chromosomes were bound to the magnetic beads through the strong biotin-streptavidin complex and then rapidly separated from nonlabeled Chinese hamster chromosomes by a simple permanent magnet. The hybridization was visualized by additional binding of avidin-FITC (fluorescein) to the unoccupied biotinylated human DNA bound to the human chromosomes. After magnetic separation, up to 98% of the individual chromosomes attached to magnetic beads were classified as human chromosomes by fluorescence microscopy.     

流式细胞仪分选转基因斑马鱼胚胎荧光标记细胞的一种快速方法

荧光蛋白在特异组织和器官表达的转基因斑马鱼已经在发育生物学和疾病模型研究中得到了广泛的应用。这些转基因系有助于追踪和分析数量较少的细胞群。但是如果要分离得到这些细胞来定量分析mRNA或蛋白质的表达情况比较困难。利用流式细胞仪分选这些荧光标记细胞是一种解决办法。此方法在不同的实验室中被广泛地应用。也有相关流程的介绍。但是流程一般较为繁琐,操作比较困难。该文以从转基因斑马鱼Tg（Kdrl：EGFP）中分选绿色荧光蛋白阳性的血管内皮细胞为例,介绍利用流式细胞仪分选转基因斑马鱼荧光标记细胞的实验流程和技术要点。该文作者在前人工作的基础上结合大量的实验经验．发展并优化了一套操作简便、效率较高的流程来分选这些细胞,在此做详细的介绍给大家以供参考。     

Destabilizing loop swaps in the CDRs of an immunoglobulin VL domain.

It is generally believed that loop regions in globular proteins, and particularly hypervariable loops in immunoglobulins, can accommodate a wide variety of sequence changes without jeopardizing protein structure or stability. We show here, however, that novel sequences introduced within complementarity determining regions (CDRs) 1 and 3 of the immunoglobulin variable domain REI VL can significantly diminish the stability of the native state of this protein. Besides their implications for the general role of loops in the stability of globular proteins, these results suggest previously unrecognized stability constraints on the variability of CDRs that may impact efforts to engineer new and improved activities into antibodies.     

Construction of ivermectin producer by domain swaps of avermectin polyketide synthase in Streptomyces avermitilis

Ivermectin, 22, 23-dihydroavermectin B1, is commercially important in human, veterinary medicine, and pesticides. It is currently synthesized by chemical reduction of the double bond between C22 and C23 of avermectins B1, which are a mixture of B1a (>80%) and B1b (<20%) produced by fermentation of Streptomyces avermitilis. The cost of ivermectin is much higher than that of avermectins B1 owing to the necessity of region-specific hydrogenation at C22–C23 of avermectins B1 with rhodium chloride as the catalyst for producing ivermectin. Here we report that ivermectin can be produced directly by fermentation of recombinant strains constructed through targeted genetic engineering of the avermectin polyketide synthase (PKS) in S. avermitilis Olm73-12, which produces only avermectins B and not avermectins A and oligomycin. The DNA region encoding the dehydratase (DH) and ketoreductase (KR) domains of module 2 from the avermectin PKS in S. avermitilis Olm73-12 was replaced by the DNA fragment encoding the DH, enoylreductase, and KR domains from module 4 of the pikromycin PKS of Streptomyces venezuelae ATCC 15439 using a gene replacement vector pXL211. Twenty-seven of mutants were found to produce a small amount of 22, 23-dihydroavermectin B1a and avermectin B1a and B2a by high performance liquid chromatography and liquid chromatography mass spectrometry analysis. This study might provide a route to the low-cost production of ivermectin by fermentation.     

Sorting of signals from thermosensitive areas.

Of the several models proposed for the neural regulation of temperature in cold-exposed animals, two have been previously restated in dynamic form using CSMP. Subsequently, computer simulations have led to the design and execution of experiments for selection of the more appropriate model for cold-exposed rats. These experiments, as described in the present paper, have been interpreted as being consistent with the model which sorts signals from thermosensitive areas and channels the selected signals over separate neural pathways to independently control each mode of heat production. Since this model requires multiplication of neural signals, possible neuronal mechanisms which may underline such multiplication are discussed. In addition, parameter variation to account for febril responses and rate sensitivity have been evaluated.     

Swapping core residues in homologous proteins swaps folding mechanism

Rat intestinal fatty acid binding protein (IFABP) displays an intermediate with little if any secondary structure during unfolding, while the structurally homologous rat ileal lipid binding protein (ILBP) displays an intermediate during unfolding with nativelike secondary structure. Double-jump experiments indicate that these intermediates are on the folding path for each protein. To test the hypothesis that differences in the number of buried hydrophobic atoms in a folding initiating site are responsible for the different types of intermediates observed for these proteins, two mutations (F68C-IFABP and C69F-ILBP) were made that swapped a more hydrophobic residue for a more hydrophilic residue in the respective cores of these two proteins. F68C-IFABP followed an unfolding path identical to that of WT-ILBP with an intermediate that showed nativelike secondary structure, whereas C69F-ILBP followed an unfolding path that was identical to that of WT-IFABP with an intermediate that lacked secondary structure. Further, a hydrophilic residue was introduced at an identical hydrophobic structural position in both proteins (F93S-IFABP and F94S-ILBP). Replacement of phenylalanine with serine at this site led to the appearance of an intermediate during refolding that lacked secondary structure for both proteins that was not detected for either parental protein. Altering the chemical characteristics and/or size of residues within an initiating core of hydrophobic interactions is critical to the types of intermediates that are observed during the folding of these proteins.     

Plant Chromosome Analysis and Sorting by Flow Cytometry

During the past decade, significant progress has been made in the development of methods for the preparation of plant chromosome suspensions suitable for flow cytometric analysis. In addition to successful classification of chromosomes (flow karyotyping), sorting of single chromosome types with a high degree of purity was reported in several plant species. Sorted chromosomes were used for the establishment of chromosome-specific DNA libraries and for gene mapping. The results confirmed the potential of plant flow cytogenetics and form a solid basis for further progress in this area. This article reviews its current status, analyzes major problems, and assesses future directions.     

Sorting of soluble ER proteins in yeast.

In animal cells, luminal endoplasmic reticulum (ER) proteins are prevented from being secreted by a sorting system that recognizes the C-terminal sequence KDEL. We show that yeast has a similar sorting system, but it recognizes HDEL, rather than KDEL: derivatives of the enzyme invertase that bear the HDEL signal fail to be secreted. An invertase fusion protein that is retained in the cells is partially modified by outer-chain mannosyl transferases, which reside in the Golgi element. This supports the view, based on studies in animal cells, that ER targeting is achieved by continuous retrieval of proteins from the Golgi. We have used an invertase fusion gene to screen for mutants that are defective in this sorting system. Over 60 mutants were obtained; eight of these are alleles of a single gene, erd1. The mutant strains grow normally at 30 degrees C, but instead of retaining the fusion protein in the cells, they secrete it.     

Step-specific Sorting of Mouse Spermatids by Flow Cytometry

The differentiation of mouse spermatids is one critical process for the production of a functional male gamete with an intact genome to be transmitted to the next generation. So far, molecular studies of this morphological transition have been hampered by the lack of a method allowing adequate separation of these important steps of spermatid differentiation for subsequent analyses. Earlier attempts at proper gating of these cells using flow cytometry may have been difficult because of a peculiar increase in DNA fluorescence in spermatids undergoing chromatin remodeling. Based on this observation, we provide details of a simple flow cytometry scheme, allowing reproducible purification of four populations of mouse spermatids fixed with ethanol, each representing a different state in the nuclear remodeling process. Population enrichment is confirmed using step-specific markers and morphological criterions. The purified spermatids can be used for genomic and proteomic analyses.     

Sorting Out the Sorting Functions of Endosomes in Arabidopsis

In animals, sorting of membrane proteins following their internalization from the plasma membrane (PM) by endocytosis occurs through a series of different endosomal compartments. In plants, how and where these sorting events take place is still poorly understood and our current view of the endocytic pathway still largely relies on analogies made from the animal system. However, extensive differences seem to exist between animal and plant endosomal functions, as exemplified by the role of the trans-Golgi network (TGN) as an early endosomal compartment in plants or the functional diversification of conserved sorting complexes. By using the Arabidopsis root tip as a reference model, we and other have begun to shed light on the complexity of the plant endocytic pathways. Notably, we have recently characterized the functions of an endosomal compartment, the SNX1-endosomes, also referred to as the prevacuolar compartment (PVC) or multivesicular bodies (MVB), in the sorting of different cargo proteins, including two related auxin-efflux carriers, PIN1 and PIN2. We have shown that routing decisions take place at this endosomal level, such as the sorting of PIN2 toward the lytic vacuole for degradation or PIN1 toward the PM for recycling.Key Words: Arabidopsis, intracellular trafficking, endocytic recycling, endosomes, MVB, PVC, VPS29, SNX, PIN, cell polarity