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Irshad MR, D'cruz V, Maya R, Mamode Khan N. Inferential properties with a novel two parameter Poisson generalized Lindley distribution with regression and application to INAR(1) process. J Biopharm Stat 2023; 33:335-356. [PMID: 36662165 DOI: 10.1080/10543406.2022.2152832] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
Abstract
Based on the well-known Poisson (P) distribution and the new generalized Lindley distribution (NGLD) developed by using gamma (α,θ) and gamma (α-1,θ) distributions, a new compound two-parameter Poisson generalized Lindley (TPPGL) distribution is proposed in this paper and thereon systematically explores the mathematical properties. Closed form expressions are assembled for such properties including the probability generating function, moments, skewness, kurtosis, etc. The likelihood-based method is used for estimating the parameters followed by a broad Monte Carlo simulation study. To further motivate the proposed model, a count regression model and a first order integer valued autoregressive process are constructed based on the novel TPPGL distribution. The empirical importance of the proposed models is confirmed through application to four real datasets.
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Affiliation(s)
- M R Irshad
- Department of Statistics, Cochin University of Science and Technology, Cochin, Kerala, India
| | - Veena D'cruz
- Department of Statistics, Cochin University of Science and Technology, Cochin, Kerala, India
| | - R Maya
- Department of Statistics, University College, Trivandrum, Kerala, India
| | - N Mamode Khan
- Department of Economics and Statistics, University of Mauritius, Mauritius
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Rajesh G, Abdul-Sathar EI, Maya R, Muraleedharan Nair KR. Nonparametric estimation of the residual entropy function with censored dependent data. BRAZ J PROBAB STAT 2015. [DOI: 10.1214/14-bjps250] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Maya R, Abdul-Sathar EI, Rajesh G, Muraleedharan Nair KR. Estimation of the Renyi’s residual entropy of order $$\alpha $$ with dependent data. Stat Pap (Berl) 2014. [DOI: 10.1007/s00362-013-0506-1] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Maya R, Abdul-Sathar E, Rajesh G. Non-parametric estimation of the generalized past entropy function with censored dependent data. Stat Probab Lett 2014. [DOI: 10.1016/j.spl.2014.03.012] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Maya R, Sekar B, Murali S. Comparative evaluation of expression of proliferating cell nuclear antigen in variants of ameloblastoma and ameloblastic carcinoma. Indian J Dent Res 2013; 23:15-9. [PMID: 22842243 DOI: 10.4103/0970-9290.99031] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
Abstract
AIM To evaluate the use of proliferating cell nuclear antigen index in the different histopathological variants of ameloblastoma, such as the follicular, plexiform, and unicystic types, and in ameloblastic carcinoma by immunohistochemical staining. The proliferating cell nuclear antigen index values of the variants of ameloblastomas and ameloblastic carcinomas are compared in order to determine the biological behavior of these tumors. MATERIALS AND METHODS For the present study, archival tissues that had been diagnosed as ameloblastoma and ameloblastic carcinoma were collected from the department of oral pathology. Specimens were embedded in paraffin wax and were sectioned at a thickness of 5 μm and stained with hematoxylin-eosin for reconfirming the histologic pattern. It was also stained immunohistochemically for anti-proliferating cell nuclear antigen antibody. RESULTS Positive proliferating cell nuclear antigen expression is seen as a light brown, granular stain. The proliferating cell nuclear antigen values of ameloblastic carcinoma were almost five times the value of ameloblastoma. Analysis of variance test, Fischer's exact test/variance ratio test, and Student's t-test were performed and the probability values were determined. SUMMARY AND CONCLUSION This study showed that ameloblastic carcinoma had the maximum proliferative capacity. Among the variants of ameloblastoma, the plexiform variety had the maximum proliferative capacity, followed by the follicular and unicystic varieties. Altogether, these data indicate that proliferating cell nuclear antigen is related to the biological behavior and proliferation of tumor cells in the variants of ameloblastoma and ameloblastic carcinoma.
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Affiliation(s)
- R Maya
- Department of Oral Pathology, VMSDC, Salem, Tamil Nadu, India
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Amital H, Govoni M, Maya R, Meroni PL, Ori B, Shoenfeld Y, Tincani A, Trotta F, Sarzi-Puttini P, Atzeni F. Role of infectious agents in systemic rheumatic diseases. Clin Exp Rheumatol 2008; 26:S27-S32. [PMID: 18570751] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
Abstract
The relationship between infection and autoimmunity has been increasingly defined over the last twenty years or so. It is now quite clear that, in genetically susceptible individuals, environmental factors (mainly infections) play a critical role in the pathogenesis of autoimmune diseases. It is believed that infections contribute to the maturation of the immune system from the innate to adoptive phases, and that bacterial and viral infections are arthritogenic stimulants leading to various rheumatic conditions. A failure to isolate these microorganisms is probably due to the action of the immune system, but often casts doubt on their role in the pathogenesis of autoimmune diseases. Among bacteria, Helicobacter pylori has been associated with diseases such as autoimmune gastritis, Sjögren's syndrome, atherosclerosis, immune thrombocytopenia purpura, inflammatory bowel diseases and autoimmune pancreatitis, in each of which it seems to play a pathogenatic, but it has also been suggested that it may help to protect against the development of autoimmune gastritis, multiple sclerosis, systemic lupus erythemathosus and inflammatory bowel diseases. Infectious agents may play a dual role in the etiopathogenesis of antiphospholipid syndrome (APS): they may be the initial trigger of the production of antibodies cross-reacting with beta 2 glycoprotein I (Beta2GPI) and infectious peptides, and also induce an inflammatory response. According to the two-hit theory, pathogenetic anti-Beta2GPI antibodies act as the first hit whereas inflammatory responses may represent the second hit The slowly growing Propionibacterium acnes may be involved in the etiopathogenesis of SAPHO syndrome non-specific activation of cell-mediated immunity. Its ability to persist in bone lesions in a form that is incompatible with culturing suggests the possibility an arthritis that is secondary to a "persistent" infection.
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Affiliation(s)
- H Amital
- Department of Medicine 'D', Meir Medical Center, Kfar-Saba, affiliated to Tel-Aviv University, Sackler Faculty of Medicine, Israel
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Abstract
Phosphorylation of Mdm2, in response to DNA damage, resulted in prevention of p53 degradation in the cytoplasm as well as reduction of its binding with monoclonal antibody (mAb) 2A10. Using a 15-mer phage-peptide library, we identified two 2A10-epitopes on human Mdm2 (hdm2): at positions 255-266 (LDSEDYSLSEEG) and 389-400 (QESDDYSQPSTS). Synthetic peptides corresponding to the above sites, inhibit the binding of mAb2A10 to Mdm2 with high (4.5 x 10(-9)M) and moderate affinity (1.1 x 10(-7)M), respectively. Phospho-derivatives of these peptides, and of single human Mdm2 mutations S260D or S395D resulted in a considerable reduction in their binding with mAb2A10. These results provide a molecular explanation for the observation that reactivity of Mdm2 with mAb2A10 is inhibited by phosphorylation.
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Affiliation(s)
- M Balass
- Department of Biological Chemistry, Weizmann Institute of Science, Rehovot 76100, Israel.
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Goetz AW, van der Kuip H, Maya R, Oren M, Aulitzky WE. Requirement for Mdm2 in the survival effects of Bcr-Abl and interleukin 3 in hematopoietic cells. Cancer Res 2001; 61:7635-41. [PMID: 11606405] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/21/2023]
Abstract
The p53/Mdm2 pathway plays an important role in the induction of cell cycle arrest or apoptosis in response to genotoxic stress. Both the oncogene Bcr-Abl and physiological growth factors such as interleukin (IL)-3 can modulate the outcome of cellular exposure to DNA damage. To determine whether Bcr-Abl and growth factors can affect the p53/Mdm2 pathway, we studied the expression of Mdm2 in the IL-3-dependent pre-B cell line BaF3 and its bcr-abl-transfected derivative BaF3p185 after IL-3 deprivation or treatment with the c-Abl tyrosine kinase inhibitor STI571. We found that both growth factor withdrawal and inhibition of Bcr-Abl kinase lead to a down-regulation of Mdm2 preceding the induction of apoptosis. Apoptotic cell death induced by STI571 is partially dependent on p53. The early decrease of Mdm2 protein was not attributable to transcriptional regulation or to caspase-mediated cleavage. On the other hand, it could be completely blocked by the proteasomal inhibitor lactacystin. Targeted down-regulation of Mdm2 protein by antisense oligodeoxynucleotides overcame the survival effects of IL-3 and Bcr-Abl and resulted in accelerated apoptosis. Taken together, survival signals provided either by physiological growth factors or by oncogenic Bcr-Abl can positively regulate Mdm2, whereas Mdm2 ablation can reduce cell survival. These findings imply that, similarly to physiological growth factors such as IL-3, Bcr-Abl can promote cell survival through modulating the p53-Mdm2 pathway.
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Affiliation(s)
- A W Goetz
- Dr. Margarete Fischer-Bosch Institute for Clinical Pharmacology, Stuttgart, Germany
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Maya R, Balass M, Kim ST, Shkedy D, Leal JF, Shifman O, Moas M, Buschmann T, Ronai Z, Shiloh Y, Kastan MB, Katzir E, Oren M. ATM-dependent phosphorylation of Mdm2 on serine 395: role in p53 activation by DNA damage. Genes Dev 2001; 15:1067-77. [PMID: 11331603 PMCID: PMC312683 DOI: 10.1101/gad.886901] [Citation(s) in RCA: 510] [Impact Index Per Article: 22.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Abstract
The p53 tumor suppressor protein, a key regulator of cellular responses to genotoxic stress, is stabilized and activated after DNA damage. The rapid activation of p53 by ionizing radiation and radiomimetic agents is largely dependent on the ATM kinase. p53 is phosphorylated by ATM shortly after DNA damage, resulting in enhanced stability and activity of p53. The Mdm2 oncoprotein is a pivotal negative regulator of p53. In response to ionizing radiation and radiomimetic drugs, Mdm2 undergoes rapid ATM-dependent phosphorylation prior to p53 accumulation. This results in a decrease in its reactivity with the 2A10 monoclonal antibody. Phage display analysis identified a consensus 2A10 recognition sequence, possessing the core motif DYS. Unexpectedly, this motif appears twice within the human Mdm2 molecule, at positions corresponding to residues 258-260 and 393-395. Both putative 2A10 epitopes are highly conserved and encompass potential phosphorylation sites. Serine 395, residing within the carboxy-terminal 2A10 epitope, is the major target on Mdm2 for phosphorylation by ATM in vitro. Mutational analysis supports the conclusion that Mdm2 undergoes ATM-dependent phosphorylation on serine 395 in vivo in response to DNA damage. The data further suggests that phosphorylated Mdm2 may be less capable of promoting the nucleo-cytoplasmic shuttling of p53 and its subsequent degradation, thereby enabling p53 accumulation. Our findings imply that activation of p53 by DNA damage is achieved, in part, through attenuation of the p53-inhibitory potential of Mdm2.
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Affiliation(s)
- R Maya
- Department of Molecular Cell Biology, Weizmann Institute of Science, Rehovot 76100, Israel
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Lev Bar-Or R, Maya R, Segel LA, Alon U, Levine AJ, Oren M. Generation of oscillations by the p53-Mdm2 feedback loop: a theoretical and experimental study. Proc Natl Acad Sci U S A 2000; 97:11250-5. [PMID: 11016968 PMCID: PMC17186 DOI: 10.1073/pnas.210171597] [Citation(s) in RCA: 359] [Impact Index Per Article: 15.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023] Open
Abstract
The intracellular activity of the p53 tumor suppressor protein is regulated through a feedback loop involving its transcriptional target, mdm2. We present a simple mathematical model suggesting that, under certain circumstances, oscillations in p53 and Mdm2 protein levels can emerge in response to a stress signal. A delay in p53-dependent induction of Mdm2 is predicted to be required, albeit not sufficient, for this oscillatory behavior. In line with the predictions of the model, oscillations of both p53 and Mdm2 indeed occur on exposure of various cell types to ionizing radiation. Such oscillations may allow cells to repair their DNA without risking the irreversible consequences of continuous excessive p53 activation.
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Affiliation(s)
- R Lev Bar-Or
- Departments of Molecular Cell Biology and Applied Mathematics and Computer Science, The Weizmann Institute of Science, P. O. Box 26, 76100 Rehovot, Israel
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Abstract
Monoclonal antibodies are widely used for the assessment of protein expression levels, protein-protein interactions and protein localization. Phosphorylation of one or more residues within an epitope recognized by a particular antibody may compromise the ability of that antibody to bind the target protein. Inhibition of immunoreactivity by phosphorylation has been reported for many antibody/protein pairs. Here we describe a simple convenient protocol for assessing the effect of phosphorylation on immunoreactivity, employing phosphatase treatment of Western blotted membranes. The efficacy of this protocol is demonstrated for p53 and for Mdm2. This method is useful for obtaining more uniform protein quantification, as well as for rapid assessment of changes in the extent of phosphorylation within a given epitope in response to defined signals.
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Affiliation(s)
- R Maya
- Department of Molecular Cell Biology, The Weizmann Institute of Science, Rehovot, Israel
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Abstract
The p53 tumor suppressor gene product is negatively regulated by the product of its downstream target, mdm2. The deletion of mdm2 in the mouse results in embryonic lethality at 5.5 days post coitum (d.p.c.) which can be overcome by simultaneous loss of the p53 tumor suppressor, substantiating the importance of the negative regulatory function of MDM2 on p53 function in vivo. Hence, the loss of MDM2 allowed the unregulated p53 protein to continuously exert its growth-suppressing activity, which either led to a complete G1 arrest or induced the p53-dependent apoptotic pathway, resulting in the death of the mdm2-/- embryos. To determine which of these possibilities is occurring, mouse embryo fibroblasts (MEFs) from p53 null and p53/mdm2 double null embryos were transfected with a retroviral vector carrying a temperature-sensitive p53 (tsp53) cDNA. Shifting of single-cell clonal populations to the permissive temperature caused the p53-/-mdm2-/- fibroblasts expressing tsp53 to undergo apoptosis in a dose-dependent manner. This phenotype was not observed in the tsp53 expressing p53-/- clones nor the parental cell lines. Thus, our data indicate that the simple loss of mdm2 can induce the p53-dependent apoptotic pathway in vivo.
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Affiliation(s)
- S de Rozieres
- Department of Molecular Genetics, The University of Texas M.D. Anderson Cancer Center, Houston 77030, USA
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Khosravi R, Maya R, Gottlieb T, Oren M, Shiloh Y, Shkedy D. Rapid ATM-dependent phosphorylation of MDM2 precedes p53 accumulation in response to DNA damage. Proc Natl Acad Sci U S A 1999; 96:14973-7. [PMID: 10611322 PMCID: PMC24757 DOI: 10.1073/pnas.96.26.14973] [Citation(s) in RCA: 331] [Impact Index Per Article: 13.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
Abstract
The p53 tumor-suppressor protein, a key regulator of cellular responses to genotoxic stress, is stabilized and activated after DNA damage. This process is associated with posttranslational modifications of p53, some of which are mediated by the ATM protein kinase. However, these modifications alone may not account in full for p53 stabilization. p53's stability and activity are negatively regulated by the oncoprotein MDM2, whose gene is activated by p53. Conceivably, p53 function may be modulated by modifications of MDM2 as well. We show here that after treatment of cells with ionizing radiation or a radiomimetic chemical, but not UV radiation, MDM2 is phosphorylated rapidly in an ATM-dependent manner. This phosphorylation is independent of p53 and the DNA-dependent protein kinase. Furthermore, MDM2 is directly phosphorylated by ATM in vitro. These findings suggest that in response to DNA strand breaks, ATM may promote p53 activity and stability by mediating simultaneous phosphorylation of both partners of the p53-MDM2 autoregulatory feedback loop.
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Affiliation(s)
- R Khosravi
- Department of Human Genetics, Sackler School of Medicine, Tel Aviv University, Ramat Aviv 69978, Israel
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Zeng X, Chen L, Jost CA, Maya R, Keller D, Wang X, Kaelin WG, Oren M, Chen J, Lu H. MDM2 suppresses p73 function without promoting p73 degradation. Mol Cell Biol 1999; 19:3257-66. [PMID: 10207051 PMCID: PMC84120 DOI: 10.1128/mcb.19.5.3257] [Citation(s) in RCA: 257] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/07/1998] [Accepted: 01/27/1999] [Indexed: 01/10/2023] Open
Abstract
The newly identified p53 homolog p73 can mimic the transcriptional activation function of p53. We investigated whether p73, like p53, participates in an autoregulatory feedback loop with MDM2. p73 bound to MDM2 both in vivo and in vitro. Wild-type but not mutant MDM2, expressed in human p53 null osteosarcoma Saos-2 cells, inhibited p73- and p53-dependent transcription driven by the MDM2 promoter-derived p53RE motif as measured in transient-transfection and chloramphenicol acetyltransferase assays and also inhibited p73-induced apoptosis in p53-null human lung adenocarcinoma H1299 cells. MDM2 did not promote the degradation of p73 but instead disrupted the interaction of p73, but not of p53, with p300/CBP by competing with p73 for binding to the p300/CBP N terminus. Both p73alpha and p73beta stimulated the expression of the endogenous MDM2 protein. Hence, MDM2 is transcriptionally activated by p73 and, in turn, negatively regulates the function of this activator through a mechanism distinct from that used for p53 inactivation.
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Affiliation(s)
- X Zeng
- Department of Biochemistry and Molecular Biology, Oregon Health Sciences University, Portland, Oregon 97201, USA
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Abstract
The p53 tumour-suppressor protein exerts antiproliferative effects, including growth arrest and apoptosis, in response to various types of stress. The activity of p53 is abrogated by mutations that occur frequently in tumours, as well as by several viral and cellular proteins. The Mdm2 oncoprotein is a potent inhibitor of p53. Mdm2 binds the transcriptional activation domain of p53 and blocks its ability to regulate target genes and to exert antiproliferative effects. On the other hand, p53 activates the expression of the mdm2 gene in an autoregulatory feedback loop. The interval between p53 activation and consequent Mdm2 accumulation defines a time window during which p53 exerts its effects. We now report that Mdm2 also promotes the rapid degradation of p53 under conditions in which p53 is otherwise stabilized. This effect of Mdm2 requires binding of p53; moreover, a small domain of p53, encompassing the Mdm2-binding site, confers Mdm2-dependent detstabilization upon heterologous proteins. Raised amounts of Mdm2 strongly repress mutant p53 accumulation in tumour-derived cells. During recovery from DNA damage, maximal Mdm2 induction coincides with rapid p53 loss. We propose that the Mdm2-promoted degradation of p53 provides a new mechanism to ensure effective termination of the p53 signal.
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Affiliation(s)
- Y Haupt
- Lautenberg Center for General and Tumor Immunology, The Hebrew University Haddassah Medical School, Jerusalem, Israel
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Abstract
The presence of repeated sequences in the genome represents a potential source of karyotypic instability. Genetic control of recombination is thus important to preserve the integrity of the genome. To investigate the genetic control of recombination between repeated sequences, we have created a series of isogenic strains in which we could assess the role of genes involved in DNA repair in two types of recombination: direct repeat recombination and ectopic gene conversion. Naturally occurring (Ty elements) and artificially constructed repeats could be compared in the same cell population. We have found that direct repeat recombination and gene conversion have different genetic requirements. The role of the RAD51, RAD52, RAD54, RAD55, and RAD57 genes, which are involved in recombinational repair, was investigated. Based on the phenotypes of single and double mutants, these genes can be divided into three functional subgroups: one composed of RAD52, a second one composed of RAD51 and RAD54, and a third one that includes the RAD55 and RAD57 genes. Among seven genes involved in excision repair tested, only RAD1 and RAD10 played a role in the types of recombination studied. We did not detect a differential effect of any rad mutation on Ty elements as compared to artificially constructed repeats.
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Affiliation(s)
- B Liefshitz
- Department of Molecular Microbiology and Biotechnology, Tel Aviv University, Ramat Aviv, Israel
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