20 resultados para ring chromosome and SNP-array
em DigitalCommons@The Texas Medical Center
Resumo:
A wealth of genetic associations for cardiovascular and metabolic phenotypes in humans has been accumulating over the last decade, in particular a large number of loci derived from recent genome wide association studies (GWAS). True complex disease-associated loci often exert modest effects, so their delineation currently requires integration of diverse phenotypic data from large studies to ensure robust meta-analyses. We have designed a gene-centric 50 K single nucleotide polymorphism (SNP) array to assess potentially relevant loci across a range of cardiovascular, metabolic and inflammatory syndromes. The array utilizes a "cosmopolitan" tagging approach to capture the genetic diversity across approximately 2,000 loci in populations represented in the HapMap and SeattleSNPs projects. The array content is informed by GWAS of vascular and inflammatory disease, expression quantitative trait loci implicated in atherosclerosis, pathway based approaches and comprehensive literature searching. The custom flexibility of the array platform facilitated interrogation of loci at differing stringencies, according to a gene prioritization strategy that allows saturation of high priority loci with a greater density of markers than the existing GWAS tools, particularly in African HapMap samples. We also demonstrate that the IBC array can be used to complement GWAS, increasing coverage in high priority CVD-related loci across all major HapMap populations. DNA from over 200,000 extensively phenotyped individuals will be genotyped with this array with a significant portion of the generated data being released into the academic domain facilitating in silico replication attempts, analyses of rare variants and cross-cohort meta-analyses in diverse populations. These datasets will also facilitate more robust secondary analyses, such as explorations with alternative genetic models, epistasis and gene-environment interactions.
Resumo:
The bacterial flagellar motor is a remarkable nanomachine that provides motility through flagellar rotation. Prior structural studies have revealed the stunning complexity of the purified rotor and C-ring assemblies from flagellar motors. In this study, we used high-throughput cryo-electron tomography and image analysis of intact Borrelia burgdorferi to produce a three-dimensional (3-D) model of the in situ flagellar motor without imposing rotational symmetry. Structural details of B. burgdorferi, including a layer of outer surface proteins, were clearly visible in the resulting 3-D reconstructions. By averaging the 3-D images of approximately 1,280 flagellar motors, a approximately 3.5-nm-resolution model of the stator and rotor structures was obtained. flgI transposon mutants lacked a torus-shaped structure attached to the flagellar rod, establishing the structural location of the spirochetal P ring. Treatment of intact organisms with the nonionic detergent NP-40 resulted in dissolution of the outermost portion of the motor structure and the C ring, providing insight into the in situ arrangement of the stator and rotor structures. Structural elements associated with the stator followed the curvature of the cytoplasmic membrane. The rotor and the C ring also exhibited angular flexion, resulting in a slight narrowing of both structures in the direction perpendicular to the cell axis. These results indicate an inherent flexibility in the rotor-stator interaction. The FliG switching and energizing component likely provides much of the flexibility needed to maintain the interaction between the curved stator and the relatively symmetrical rotor/C-ring assembly during flagellar rotation.
Resumo:
OBJECTIVE: To identify systemic sclerosis (SSc) susceptibility loci via a genome-wide association study. METHODS: A genome-wide association study was performed in 137 patients with SSc and 564 controls from Korea using the Affymetrix Human SNP Array 5.0. After fine-mapping studies, the results were replicated in 1,107 SSc patients and 2,747 controls from a US Caucasian population. RESULTS: The single-nucleotide polymorphisms (SNPs) (rs3128930, rs7763822, rs7764491, rs3117230, and rs3128965) of HLA-DPB1 and DPB2 on chromosome 6 formed a distinctive peak with log P values for association with SSc susceptibility (P=8.16x10(-13)). Subtyping analysis of HLA-DPB1 showed that DPB1*1301 (P=7.61x10(-8)) and DPB1*0901 (P=2.55x10(-5)) were the subtypes most susceptible to SSc in Korean subjects. In US Caucasians, 2 pairs of SNPs, rs7763822/rs7764491 and rs3117230/rs3128965, showed strong association with SSc patients who had either circulating anti-DNA topoisomerase I (P=7.58x10(-17)/4.84x10(-16)) or anticentromere autoantibodies (P=1.12x10(-3)/3.2x10(-5)), respectively. CONCLUSION: The results of our genome-wide association study in Korean subjects indicate that the region of HLA-DPB1 and DPB2 contains the loci most susceptible to SSc in a Korean population. The confirmatory studies in US Caucasians indicate that specific SNPs of HLA-DPB1 and/or DPB2 are strongly associated with US Caucasian patients with SSc who are positive for anti-DNA topoisomerase I or anticentromere autoantibodies.
Resumo:
An important question in biology is to understand the role of specific gene products in regulating embryogenesis and cellular differentiation. Many of the regulatory proteins possess specific motifs, such as the homeodomain, basic helix-loop-helix structure, zinc finger, and leucine zipper. These sequence motifs participate in specific protein-DNA, protein-RNA, and protein-protein interactions, and are important for the function of these regulatory proteins.^ The human rfp (ret finger protein) belongs to a novel zinc finger protein family, the B box zinc finger family. Most of the B box proteins, including rfp, have a conserved tripartite motif, consisting of two novel zinc fingers (the RING finger and the B box) and a coiled-coil domain. Interestingly, a fusion protein between the tripartite motif of rfp and the tyrosine kinase domain of c-ret has transforming activity. In this study, we examined the expression of rfp during mouse development, and characterized the role of the tripartite motif in rfp function.^ We cloned the mouse rfp cDNA, which shares a 98.4% homology with the human sequence at amino acid level. Such strikingly high degree of homology indicates the high evolutionary pressure on the conservation of the sequence, suggesting that rfp may have an important function. Using the somatic cell hybrid system, we assigned the rfp gene to mouse chromosome 13 and human chromosome 6. Rfp transcripts and protein were ubiquitous in day 10.5-13.5 mouse embryos; however, they were restricted in adult mice, with the highest level of expression in the testis. Rfp expression in the testis is detected only in late pachytene spermatocytes and round spermatids. In both embryos and spermatogenic cells, rfp protein was distributed within cell nuclei in a punctate pattern, similar to the PODs (PML oncogenic domains) observed with another B box protein, PML. In cultured mammalian cells, we found that rfp was indeed co-localized to the PODs with PML. Using the yeast two-hybrid system, we showed that the rfp could specifically interact with PML, and that the interaction was dependent on the distal portion of the rfp coiled-coil domain.^ We also showed that rfp could form homodimers, and both the B box and coiled-coil domain were required for proper dimerization. It seems that the proximal portion of the coiled-coil domain provides the interacting interface, while the B box zinc finger orients the coil and maintains the correct structure of the whole molecule. Our data are consistent with the zinc-binding property and structural analysis of the B box. The RING finger seems to be involved in rfp nuclear localization through interaction with other proteins. We believe that homodimerization and interaction with PML are important for the normal interaction of rfp during development and differentiation. In addition, rfp homodimerization may also be essential for the oncogenic activation of the rfp-ret fusion protein. ^
Resumo:
Linkage disequilibrium (LD) is defined as the nonrandom association of alleles at two or more loci in a population and may be a useful tool in a diverse array of applications including disease gene mapping, elucidating the demographic history of populations, and testing hypotheses of human evolution. However, the successful application of LD-based approaches to pertinent genetic questions is hampered by a lack of understanding about the forces that mediate the genome-wide distribution of LD within and between human populations. Delineating the genomic patterns of LD is a complex task that will require interdisciplinary research that transcends traditional scientific boundaries. The research presented in this dissertation is predicated upon the need for interdisciplinary studies and both theoretical and experimental projects were pursued. In the theoretical studies, I have investigated the effect of genotyping errors and SNP identification strategies on estimates of LD. The primary importance of these two chapters is that they provide important insights and guidance for the design of future empirical LD studies. Furthermore, I analyzed the allele frequency distribution of 26,530 single nucleotide polymorphisms (SNPs) in three populations and generated the first-generation natural selection map of the human genome, which will be an important resource for explaining and understanding genomic patterns of LD. Finally, in the experimental study, I describe a novel and simple, low-cost, and high-throughput SNP genotyping method. The theoretical analyses and experimental tools developed in this dissertation will facilitate a more complete understanding of patterns of LD in human populations. ^
High-resolution microarray analysis of chromosome 20q in human colon cancer metastasis model systems
Resumo:
Amplification of human chromosome 20q DNA is the most frequently occurring chromosomal abnormality detected in sporadic colorectal carcinomas and shows significant correlation with liver metastases. Through comprehensive high-resolution microarray comparative genomic hybridization and microarray gene expression profiling, we have characterized chromosome 20q amplicon genes associated with human colorectal cancer metastasis in two in vitro metastasis model systems. The results revealed increasing complexity of the 20q genomic profile from the primary tumor-derived cell lines to the lymph node and liver metastasis derived cell lines. Expression analysis of chromosome 20q revealed a subset of over expressed genes residing within the regions of genomic copy number gain in all the tumor cell lines, suggesting these are Chromosome 20q copy number responsive genes. Bases on their preferential expression levels in the model system cell lines and known biological function, four of the over expressed genes mapping to the common intervals of genomic copy gain were considered the most promising candidate colorectal metastasis-associated genes. Validation of genomic copy number and expression array data was carried out on these genes, with one gene, DNMT3B, standing out as expressed at a relatively higher levels in the metastasis-derived cell lines compared with their primary-derived counterparts in both the models systems analyzed. The data provide evidence for the role of chromosome 20q genes with low copy gain and elevated expression in the clonal evolution of metastatic cells and suggests that such genes may serve as early biomarkers of metastatic potential. The data also support the utility of the combined microarray comparative genomic hybridization and expression array analysis for identifying copy number responsive genes in areas of low DNA copy gain in cancer cells. ^
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In Escherichia coli, the Min system, consisting of three proteins, MinC, MinD, and MinE, negatively regulates FtsZ assembly at the cell poles, helping to ensure that the Z ring will assemble only at midcell. Of the three Min proteins, MinC is sufficient to inhibit Z-ring assembly. By binding to MinD, which is mostly localized at the membrane near the cell poles, MinC is sequestered away from the cell midpoint, increasing the probability of Z-ring assembly there. Previously, it has been shown that the two halves of MinC have two distinct functions. The N-terminal half is sufficient for inhibition of FtsZ assembly, whereas the C-terminal half of the protein is required for binding to MinD as well as to a component of the division septum. In this study, we discovered that overproduction of the C-terminal half of MinC (MinC(122-231)) could also inhibit cell division and that this inhibition was at the level of Z-ring disassembly and dependent on MinD. We also found that fusing green fluorescent protein to either the N-terminal end of MinC(122-231), the C terminus of full-length MinC, or the C terminus of MinC(122-231) perturbed MinC function, which may explain why cell division inhibition by MinC(122-231) was not detected previously. These results suggest that the C-terminal half of MinC has an additional function in the regulation of Z-ring assembly.
Resumo:
Nonpapillary renal cell carcinoma (RCC) is an adult cancer of the kidney which occurs both in familial and sporadic forms. The familial form of RCC is associated with translocations involving chromosome 3 with a breakpoint at 3p14-p13. Studies focused on sporadic RCC have shown two commonly deleted regions at 3p14.3-p13 and 3p21.3. In addition, a more distal region mapping to 3p26-p25 has been linked to the Von Hippel Lindau (VHL) disease gene. A large proportion of VHL patients develop RCC. The short arm of human chromosome 3 can, therefore, be dissected into three distinct regions which could encode tumor suppressor genes for RCC. Loss or inactivation of one or more of these loci may be an important step in the genesis of RCC.^ I have used the technique of microcell-mediated chromosome transfer to introduce an intact, normal human chromosome 3 and defined fragments of 3p, dominantly marked with pSV2neo, into the highly malignant RCC cell line SN12C.19. The introduction of chromosome 3 and of a centric fragment of 3p, encompassing 3p14-q11, into SN12C.19 resulted in dramatic suppression of tumor growth in nude mice. Another defined deletion hybrid contained the region 3p12-q24 of the introduced human chromosome and failed to suppress tumorigenicity. These data define the region 3p14-p12, the most proximal region of high frequency allele loss in sporadic RCC as well as the region containing the translocation breakpoint in familial RCC, to contain a novel tumor suppressor locus involved in RCC. We have designated this locus nonpapillary renal cell carcinoma-1 (NRC-1). Furthermore, we have functional evidence that NRC-1 controls the growth of RCC cells by inducing rapid cell death in vivo. ^
Resumo:
In both euploid Chinese hamster (Cricetulus griseus) cells and pseudodiploid Chinese hamster ovary (CHO) cells, gene assignments were accomplished by G band chromosome and isozyme analysis (32 isozymes) of interspecific somatic cell hybrids obtained after HAT selection of mouse CL 1D (TK('-)) cells which were PEG-fused with either euploid Chinese hamster cells or HPRT('-) CHO cells. Hybrids slowly segregated hamster chromosomes. Clone panels consisting of independent hybrid clones and subclones containing different combinations of Chinese hamster chromosomes and isozymes were established from each type of fusion.^ These clone panels enabled us to provisionally assign the loci for: nucleoside phosphorylase (NP), glyoxalase (GLO), glutathione reductase (GSR), adenosine kinase (ADK), esterase D (ESD), peptidases B and S (PEPB and -S) and phosphoglucomutase 2 (PGM2, human nomenclature) to chromosome 1; adenylate kinase 1 (AK1), adenosine deaminase (ADA) and inosine triosephosphatase (ITP) to chromosome 6; triosephosphate isomerase (TPI) to chromosome 8; and glucose phosphate isomerse (GPI) and peptidase D (PEPD) to chromosome 9.^ We also confirm the assignments of 6-phosphogluconate dehydrogenase (PGD), PGM1, enolase 1 (ENO1) and diptheria toxin sensitivity (DTS) to chromosome 2 as well as provisionally assign galactose-1-phosphate uridyl transferase (GALT) and AK2 to chromosome 2. Selection in either HAT or BrdU for hybrids that had retained or lost the chromosome carrying the locus for TK enabled us to assign the loci for TK, galactokinase (GALK) and acid phosphatase 1 (ACP1) to Chinese hamster chromosome 7.^ These results are discussed in relation to current theories on the basis for high frequency of drug resistant autosomal recessive mutants in CHO cells and conservation of mammalian autosomal linkage groups. ^
Resumo:
Borrelia burgdorferi is the etiological agent of Lyme disease, the most common tick-borne disease in the United States. Although the most frequently reported symptom is arthritis, patients can also experience severe cardiac, neurologic, and dermatologic abnormalities. The identification of virulence determinants in infectious B. burgdorferi strains has been limited by their slow growth rate, poor transformability, and general lack of genetic tools. The present study demonstrates the use of transposon mutagenesis for the identification of infectivity-related factors in infectious B. burgdorferi, examines the potential role for chemotaxis in mammalian infection, and describes the development of a novel method for the analysis of recombination events at the Ids antigenic variation locus. A pool of Himar1 mutants was isolated using an infectious B. burgdorferi clone and the transposon vector pMarGent. Clones exhibiting reduced infectivity in mice possessed insertions in virulence determinants putatively involved in host survival and dissemination. These results demonstrated the feasibility of extensive transposon mutagenesis studies for the identification of additional infectivity-related factors. mcp-5 mutants were chosen for further study to determine the role of chemotaxis during infection. Animal studies indicated that mcp-5 mutants exhibited a reduced infectivity potential, and suggested a role for mcp-5 during the early stages of infection. An in vitro phenotype for an mcp-5 mutant was not detected. Genetic complementation of an mcp-5 mutant resulted in restoration of Mcp-5 expression in the complemented clone, as demonstrated by western blotting, but the organisms were not infectious in mice. We believe this result is a consequence of differences in expression between genes located on the linear chromosome and genes present on the circular plasmid used for trans-complementation. Overall, this work implicates mcp-5 as an important determinant of mammalian infectivity. Finally, the development of a computer-assisted method for the analysis of recombination events occurring at the B. burgdorferi vls antigenic variation locus has proven highly valuable for the detailed examination of vls gene conversion. The studies described here provide evidence for the importance of chemotaxis during infection in mice and demonstrate advances in both genetic and computational approaches for the further characterization of the Lyme disease spirochete. ^
Resumo:
Chromosome segregation is a critical step during cell division to avoid aneuploidy and promote proper organismal development. Correct sister chromatid positioning and separation during mitosis helps to achieve faithful transmission of genetic material to daughter cells. This prevents improper chromosome partitioning that can potentially result in extrachromosomal fragments, increasing the tumorigenic potential of the cells. The kinetochore is a protenaicious structure responsible for the initiation and orchestration of chromosome movement during mitosis. This highly conserved structure among eukaryotes is required for chromosome attachment to the mitotic spindle and failure to assemble the kinetochore results in aberrant chromosome segregation. Thus elucidating the mechanism of kinetochore assembly is important to have a better understanding of the regulation that controls chromosome segregation. Our previous work identified the C. elegans Tousled-like kinase (TLK-1) as a mitotic kinase and depletion of TLK-1 results in embryonic lethality, characterized by nuclei displaying poor mitotic chromosome alignment, lagging chromosome, and chromosome bridges during anaphase. Additionally, previous studies from our group revealed that TLK-1 is phosphorylated independently by Aurora B at serine 634, and by CHK-1 at threonine T610. The research presented herein reveals that both phosphorylated forms of TLK-1 associate with the kinetochore during mitosis. Moreover, by systematic depletion of kinetochore proteins, I uncovered that pTLK-1 is bona fide kinetochore component that is located at the outer kinetochore layer, influencing the microtubule-binding interface. I also demonstrated that TLK-1 is necessary for the kinetochore localization of the microtubule interacting proteins CLS-2 and LIS-1 and I show that embryos depleted of TLK-1 presented an aberrant twisted kinetochore pattern. Furthermore, I established that the inner kinetochore protein KNL-2 is an in vitro substrate of TLK-1 indicating a possible role of TLK-1 in regulating centromeric assembly. Collectively, these results suggest a novel role for the Tousled-like kinase in regulation of kinetochore assembly and microtubule dynamics and demonstrate the necessity of TLK-1 for proper chromosome segregation in C. elegans.
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It is well accepted that tumorigenesis is a multi-step procedure involving aberrant functioning of genes regulating cell proliferation, differentiation, apoptosis, genome stability, angiogenesis and motility. To obtain a full understanding of tumorigenesis, it is necessary to collect information on all aspects of cell activity. Recent advances in high throughput technologies allow biologists to generate massive amounts of data, more than might have been imagined decades ago. These advances have made it possible to launch comprehensive projects such as (TCGA) and (ICGC) which systematically characterize the molecular fingerprints of cancer cells using gene expression, methylation, copy number, microRNA and SNP microarrays as well as next generation sequencing assays interrogating somatic mutation, insertion, deletion, translocation and structural rearrangements. Given the massive amount of data, a major challenge is to integrate information from multiple sources and formulate testable hypotheses. This thesis focuses on developing methodologies for integrative analyses of genomic assays profiled on the same set of samples. We have developed several novel methods for integrative biomarker identification and cancer classification. We introduce a regression-based approach to identify biomarkers predictive to therapy response or survival by integrating multiple assays including gene expression, methylation and copy number data through penalized regression. To identify key cancer-specific genes accounting for multiple mechanisms of regulation, we have developed the integIRTy software that provides robust and reliable inferences about gene alteration by automatically adjusting for sample heterogeneity as well as technical artifacts using Item Response Theory. To cope with the increasing need for accurate cancer diagnosis and individualized therapy, we have developed a robust and powerful algorithm called SIBER to systematically identify bimodally expressed genes using next generation RNAseq data. We have shown that prediction models built from these bimodal genes have the same accuracy as models built from all genes. Further, prediction models with dichotomized gene expression measurements based on their bimodal shapes still perform well. The effectiveness of outcome prediction using discretized signals paves the road for more accurate and interpretable cancer classification by integrating signals from multiple sources.
Resumo:
Normal humans have one red and at least one green visual pigment genes. These genes are tightly linked as tandem repeats on the X chromosome and each of them has six exons. There is only one X-linked visual pigment gene in New World monkeys (NWMs) but the locus has three polymorphic alleles encoding red, yellow and green visual pigments, respectively. The spectral properties of the squirrel monkey and the marmoset (both NWMs) have been studied and partial sequences of the three alleles are available. To study the evolutionary history of these X-linked opsin genes in humans and NWMs, coding and intron sequences of the three squirrel monkey alleles and the three marmoset alleles were amplified by PCR followed by subcloning and sequencing. Introns 2 and 4 of the human red and green pigment genes were also sequenced. The results obtained are as follows: (1) The sequences of introns 2 and 4 of the human red and green opsin genes are significantly more similar between the two genes than are coding sequences, contrary to the usual situation where coding regions are better conserved in evolution than are introns. The high similarities in the two introns are probably due to recent gene conversion events during evolution of the human lineage. (2) Phylogenetic analysis of both intron and exon sequences indicates that the phylogenetic tree of the available primate opsin genes is the same as the species tree. The two human genes were derived from a gene duplication event after the divergence of the human and NWM lineages. The three alleles in each of the two NWM species diverged after the split of the two NWMs but have persisted in the population for at least 5 million years. (3) Allelic gene conversion might have occurred between the three squirrel monkey alleles. (4) A model of additive effect of hydroxyl-bearing amino acids on spectral tuning is proposed by treating some unknown variables as groups. Under the assumption that some residues have no effect, it is found that at least five amino acid residues, at positions 178 (3 nm), 180 (5 nm), 230 ($-$4 nm), 277 (9 nm) and 285 (13 nm), have linear spectral tuning effects. (5) Adaptive evolution of the opsin genes to different spectral peaks was observed at four residues that are important for spectral tuning. ^
Resumo:
OBJECTIVE: The aim of this study was to visualize and localize the sheep antimicrobials, beta-defensins 1, 2, and 3, (SBD-1, SBD-2, SBD-3), sheep neutrophil defensin alpha (SNP-1), and the cathelicidin LL-37 in sheep small intestine after burn injury, our hypothesis being that these compounds would be upregulated in an effort to overcome a compromised endothelial lining. Response to burn injury includes the release of proinflammatory cytokines and systemic immune suppression that, if untreated, can progress to multiple organ failure and death, so protective mechanisms have to be initiated and implemented. METHODS: Tissue sections were probed with antibodies to the antimicrobials and then visualized with fluorescently labeled secondary antibodies and subjected to fluorescence deconvolution microscopy and image reconstruction. RESULTS: In both the sham and burn samples, all the aforementioned antimicrobials were seen in each of the layers of small intestine, the highest concentration being localized to the epithelium. SBD-2, SBD-3, and SNP-1 were upregulated in both enterocytes and Paneth cells, while SNP-1 and LL-37 showed increases in both the inner circular and outer longitudinal muscle layers of the muscularis externa following burn injury. Each of the defensins, except SBD-1, was also seen in between the muscle layers of the externa and while burn caused slight increases of SBD-2, SBD-3, and SNP-1 in this location, LL-37 content was significantly decreased. CONCLUSION: That while each of these human antimicrobials is present in multiple layers of sheep small intestine, SBD-2, SBD-3, SNP-1, and LL-37 are upregulated in the specific layers of the small intestine.
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The DNA repair gene, XPF, is implicated in numerous processes relating to maintenance of genomic stability. The experiments presented herein were designed to investigate the role of XPF in homologous recombination processes. Specifically, the role of XPF in plasmid-chromosome and intrachromosomal recombination was evaluated. To interrogate the mechanistic role of XPF in plasmid-chromosome recombination, a homologous gene targeting system at the APRT locus in Chinese Hamster Ovary (CHO) cells was used. The targeting vector is linearized within 900 base pairs of heterology, which generates a substrate with long, nonhomologous 3′-OH ends that must be efficiently processed, presumably by the Xpf/Ercc1 heterodimer, prior to a productive recombination event. These experiments demonstrated a significant decrease in the targeted gene recombination frequency and a significant change to the recombinant product distributions in XPF- and ERCC1-deficient CHO cell lines, which suggest that the Xpf/Ercc1 heterodimer is essential for strand invasion recombination involving the processing of long, nonhomologous tails. In order to evaluate the role of XPF in intrachromosomal recombination, direct APRT repeat constructs at the chromosomal APRT locus in XPF-proficient and XPF-deficient CHO cells were used in spontaneous and DSB-induced recombination experiments. A defect in intrachromosomal recombination was only shown for UV41-derived XPF -deficient CHO cells, which have a severe interstrand crosslinking phenotype. The results of these studies demonstrate a requirement for XPF function in both plasmid-chromosome and intrachromosomal recombination, specifically in removal of long, single-stranded 3′-OH DNA ends. In addition, these studies identified a correlation between the interstrand cross-linking phenotype and the intrachromosomal recombination phenotype of each CHO cell line, but did not demonstrate a correlation between the interstrand cross-linking phenotype and the plasmid-chromosome recombination phenotype of these CHO cell lines. ^