NADP increases the level of histone H2AX phosphorylation in mouse heart cells after ionizing radiation

Phosphorylation of replaceable histone H2AX occurs in megabase chromatin domains around DNA double-strand breaks (DSBs), and this modification called gamma-H2AX can be used as an effective marker for DSBs repair and DNA damage response. Using Western blotting and immunohistochemistry techniques we have studied here the influence of exogenous nicotinamide adenine dinucleotide phosphate (NADP) which could potentially increase the intracellular level of NAD+ and on the level of gamma-H2AX formation in mouse heart cells after ionizing radiation (IR). We have found that injection of NAD+ in different doses immediately after IR causes an increased level of gamma-H2AX in mouse heart cells 20 min after IR at the dose of 3 Gy compared to control mice after IR exposure. It indicates that it could be a relationship between intracellular NAD+ content and DNA damage response in vivo.     

Phosphorylation of histone H2AX in human lymphocytes as a possible marker of effective cellular response to ionizing radiation

DNA double-strand breaks (DSBs) that occur in cells after ionizing radiation (IR) or chemical agents are the most dangerous lesions in eukaryotic cells resulting in cell death or chromosomal aberrations and cancer. DSB repair is very important for maintenance of genome stability. One of the earliest cellular responses to DSBs is phosphorylation at 139 serine of core variant histone H2AX in megabase chromatin domains around DSB (γ-H2AX), which amplifies the signal and makes it possible to identify even a very few DSBs in a genome. Here, using immunofluorescent and Western blotting techniques, we studied the dynamics of γ-H2AX formation in human lymphocytes of various individuals irradiated ex vivo. We found that the dynamics of γ-H2AX formation in lymphocytes differ between individuals but had similar kinetics and statistically is independent of people’s age.     

DNA-PKcs plays a dominant role in the regulation of H2AX phosphorylation in response to DNA damage and cell cycle progression

Background  

When DNA double-strand breaks (DSB) are induced by ionizing radiation (IR) in cells, histone H2AX is quickly phosphorylated into γ-H2AX (p-S139) around the DSB site. The necessity of DNA-PKcs in regulating the phosphorylation of H2AX in response to DNA damage and cell cycle progression was investigated.     

Delayed kinetics of DNA double-strand break processing in normal and pathological aging

Accumulation of DNA damage may play an essential role in both cellular senescence and organismal aging. The ability of cells to sense and repair DNA damage declines with age. However, the underlying molecular mechanism for this age-dependent decline is still elusive. To understand quantitative and qualitative changes in the DNA damage response during human aging, DNA damage-induced foci of phosphorylated histone H2AX (γ-H2AX), which occurs specifically at sites of DNA double-strand breaks (DSBs) and eroded telomeres, were examined in human young and senescing fibroblasts, and in lymphocytes of peripheral blood. Here, we show that the incidence of endogenous γ-H2AX foci increases with age. Fibroblasts taken from patients with Werner syndrome, a disorder associated with premature aging, genomic instability and increased incidence of cancer, exhibited considerably higher incidence of γ-H2AX foci than those taken from normal donors of comparable age. Further increases in γ-H2AX focal incidence occurred in culture as both normal and Werner syndrome fibroblasts progressed toward senescence. The rates of recruitment of DSB repair proteins to γ-H2AX foci correlated inversely with age for both normal and Werner syndrome donors, perhaps due in part to the slower growth of γ-H2AX foci in older donors. Because genomic stability may depend on the efficient processing of DSBs, and hence the rapid formation of γ-H2AX foci and the rapid accumulation of DSB repair proteins on these foci at sites of nascent DSBs, our findings suggest that decreasing efficiency in these processes may contribute to genome instability associated with normal and pathological aging.     

Dynamics of γH2AX formation and elimination in mammalian cells after X-irradiation

Phosphorylation of the replacement histone H2AX occurs in megabase chromatin domains around DNA double-strand breaks (DSBs), and this modification called γH2AX can be used as an effective marker for DSB repair and DNA damage response. In this study, we examined a bystander effect (BE) in locally irradiated embryonic human fibroblasts. Using fluorescence microscopy, we found that BE could be observed 1 h after X-ray irradiation (IR) and was completely eliminated 24 h after IR. Using immunohistochemistry and immunoblotting, we also studied kinetics of γH2AX formation and elimination in Syrian hamster and mouse tissues after whole body IR of animals. Analysis of hamster tissues at different times after IR at the dose 5 Gy showed that γH2AX-associated fluorescence in heart was decreased slowly with about a half level remaining 24 h after IR; at the same time, in brain, the level of γH2AX was about 3 times increased over the control level, and in liver, γH2AX level decreased to control values. We also report that in mouse heart the level of γH2AX measured by immunoblotting is lower than in brain, kidney and liver at different times after IR at the dose 3 Gy. Our observations indicate that there are significant variations in dynamics of γH2AX formation and elimination between non-proliferating mammalian tissues. These variations in γH2AX dynamics in indicated organs partially correlated with the expression level of the major kinase genes involved in H2AX phosphorylation (ATM and DNA-PK).     

Premature aging syndrome in ataxia telangiectasia patients

Ataxia telangiectasia (AT) is a genetic disorder caused by the mutation of the atm gene. It is characterized by progressive neurological abnormalities in combination with oculocutaneous telangiectasias, immunodeficiency, and increased frequency of malignancy. Cells of AT patients display increased radiosensitivity and premature aging markers, including shortened telomer length beginning at birth and limited proliferation potential. We studied radiosensitivity (at a dose 2 Gy) and the manifestation of premature aging markers in cultured skin fibroblasts derived from two unrelated AT patients and their heterozygous parents. We have shown that all the markers studied, i.e., HP1-γ, histone H2AX phosphorylated for serine-139 (γ-H2AX) and foci of 53BP1 protein, indicate the premature aging of the cells of both patients and their blood relatives. However, cells of heterozygous carriers express premature aging to a lesser extent. A study of the repair process (the amount of γ-H2AX and the number of cells with 53BP1 foci in their nuclei) after X-ray irradiation showed that patients’ cells only halfway completed repairs, even 24 h after irradiation, while the healthy donor cells completed repairs in 24 h. In cells from atm heterozygous donors, DNA repair was also slower. Heterozygous cells also differ reliably from healthy donor cells. Only amounts of p21^Waf1/Cip1 protein, an inhibitor of cyclin-dependent kinases, in heterozygous cells do not differ from normal cells. However, the patients’ cells differ significantly. It was found that the mutation of the atm gene was related to the suppression of the reparation of DNA double-strand breaks (DSBs), which is in good agreement with increased radiosensitivity and premature aging in AT families at the cellular level.     

Solar-simulated light-exposed benzo[a]pyrene induces phosphorylation of histone H2AX

Polycyclic aromatic hydrocarbons (PAHs), wide-spread mutagenic and carcinogenic environmental pollutants, are consistently exposed to sunlight in the environment. The exposure causes structural change, resulting in the generation of a variety of photomodified products having different bioactivities compared with the parent compounds. In this study, we found that benzo[a]pyrene (BaP) exposed to solar-simulated light (SSL)-induced phosphorylation of histone H2AX (γ-H2AX), which was recently identified as an early event after the induction of DNA double strand breaks (DSBs). Although BaP itself did not produce γ-H2AX, SSL-exposed BaP significantly generated γ-H2AX depending on the period of exposure. Furthermore, we revealed that reactive oxygen species produced by the SSL-exposed BaP mainly contributed to the generation of γ-H2AX. The appearance of γ-H2AX means the induction of the most serious form of DNA damage, DSBs, suggesting the potential risk of carcinogenesis.     

Gamma histone 2AX (γ-H2AX)as a predictive tool in radiation oncology

Abstract

Ionizing radiation cause DNA damage to cells, leading them to cell death via DNA double-strand breaks (DSBs) formation. DSBs formation is followed immediately by histone H2AX phosphorylation (γ-H2AX) and multitude repair factors accumulation. Here we present the methods and the bio-sampling for γ-H2AX detection, γ-H2AX formation in normal cells and animal tissues, in cancer cell lines/tissues and in clinical trials after radiation treatment, alone or in combination with other factors. The purpose of this review is to highlight the use of γ-H2AX, as a marker to assess DNA damage and repair.     

The HINT1 tumor suppressor regulates both gamma-H2AX and ATM in response to DNA damage

Hint1 is a haploinsufficient tumor suppressor gene and the underlying molecular mechanisms for its tumor suppressor function are unknown. In this study we demonstrate that HINT1 participates in ionizing radiation (IR)–induced DNA damage responses. In response to IR, HINT1 is recruited to IR-induced foci (IRIF) and associates with γ-H2AX and ATM. HINT1 deficiency does not affect the formation of γ-H2AX foci; however, it impairs the removal of γ-H2AX foci after DNA damage and this is associated with impaired acetylation of γ-H2AX. HINT1 deficiency also impairs acetylation of ATM and activation of ATM and its downstream effectors, and retards DNA repair, in response to IR. HINT1-deficient cells exhibit resistance to IR-induced apoptosis and several types of chromosomal abnormalities. Our findings suggest that the tumor suppressor function of HINT1 is caused by, at least in part, its normal role in enhancing cellular responses to DNA damage by regulating the functions of both γ-H2AX and ATM.     

DNA damage response in peripheral mouse blood leukocytes in vivo after variable,low-dose rate exposure

Environmental contamination and ingestion of the radionuclide Cesium-137 (137Cs) is a large concern in fallout from a nuclear reactor accident or improvised nuclear device, and highlights the need to develop biological assays for low-dose rate, internal emitter radiation. To mimic low-dose rates attributable to fallout, we have developed a VAriable Dose-rate External 137Cs irradiatoR (VADER), which can provide arbitrarily varying and progressive low-dose rate irradiations in the range of 0.1–1.2 Gy/day, while circumventing the complexities of dealing with radioactively contaminated biomaterials. We investigated the kinetics of mouse peripheral leukocytes DNA damage response in vivo after variable, low-dose rate 137Cs exposure. C57BL/6 mice were placed in the VADER over 7 days with total accumulated dose up to 2.7 Gy. Peripheral blood response including the leukocyte depletion, apoptosis as well as its signal protein p53 and DNA repair biomarker γ-H2AX was measured. The results illustrated that blood leukocyte numbers had significantly dropped by day 7. P53 levels peaked at day 2 (total dose = 0.91 Gy) and then declined; whereas, γ-H2AX fluorescence intensity (MFI) and foci number generally increased with accumulated dose and peaked at day 5 (total dose = 2.08 Gy). ROC curve analysis for γ-H2AX provided a good discrimination of accumulated dose < 2 Gy and ≥ 2 Gy, highlighting the potential of γ-H2AX MFI as a biomarker for dosimetry in a protracted, environmental exposure scenario.     

H2AX: functional roles and potential applications

Upon DNA double-strand break (DSB) induction in mammals, the histone H2A variant, H2AX, becomes rapidly phosphorylated at serine 139. This modified form, termed γ-H2AX, is easily identified with antibodies and serves as a sensitive indicator of DNA DSB formation. This review focuses on the potential clinical applications of γ-H2AX detection in cancer and in response to other cellular stresses. In addition, the role of H2AX in homeostasis and disease will be discussed. Recent work indicates that γ-H2AX detection may become a powerful tool for monitoring genotoxic events associated with cancer development and tumor progression.     

Cytolethal distending toxin (CDT) is a radiomimetic agent and induces persistent levels of DNA double-strand breaks in human fibroblasts

Cytolethal distending toxin (CDT) is a unique genotoxin produced by several pathogenic bacteria. The tripartite protein toxin is internalized into mammalian cells via endocytosis followed by retrograde transport to the ER. Upon translocation into the nucleus, CDT catalyzes the formation of DNA double-strand breaks (DSBs) due to its intrinsic endonuclease activity. In the present study, we compared the DNA damage response (DDR) in human fibroblasts triggered by recombinant CDT to that of ionizing radiation (IR), a well-known DSB inducer. Furthermore, we dissected the pathways involved in the detection and repair of CDT-induced DNA lesions. qRT-PCR array-based mRNA and western blot analyses showed a partial overlap in the DDR pattern elicited by CDT and IR, with strong activation of both the ATM-Chk2 and the ATR-Chk1 axis. In line with its in vitro DNase I-like activity on plasmid DNA, neutral and alkaline Comet assay revealed predominant induction of DSBs in CDT-treated fibroblasts, whereas irradiation of cells generated higher amounts of SSBs and alkali-labile sites. Using confocal microscopy, the dynamics of the DSB surrogate marker γ-H2AX was monitored after pulse treatment with CDT or IR. In contrast to the fast induction and disappearance of γ-H2AX-foci observed in irradiated cells, the number of γ-H2AX-foci induced by CDT were formed with a delay and persisted. 53BP1 foci were also generated following CDT treatment and co-localized with γ-H2AX foci. We further demonstrated that ATM-deficient cells are very sensitive to CDT-induced DNA damage as reflected by increased cell death rates with concomitant cleavage of caspase-3 and PARP-1. Finally, we provided novel evidence that both homologous recombination (HR) and non-homologous end joining (NHEJ) protect against CDT-elicited DSBs. In conclusion, the findings suggest that CDT functions as a radiomimetic agent and, therefore, is an attractive tool for selectively inducing persistent levels of DSBs and unveiling the associated cellular responses.     

γ-H2AX Kinetic Profile in Mouse Lymphocytes Exposed to the Internal Emitters Cesium-137 and Strontium-90

In the event of a dirty bomb scenario or an industrial nuclear accident, a significant dose of volatile radionuclides such as ¹³⁷Cs and ⁹⁰Sr may be dispersed into the atmosphere as a component of fallout and inhaled or ingested by hundreds and thousands of people. To study the effects of prolonged exposure to ingested radionuclides, we have performed long-term (30 day) internal-emitter mouse irradiations using soluble-injected ¹³⁷CsCl and ⁹⁰SrCl₂ radioisotopes. The effect of ionizing radiation on the induction and repair of DNA double strand breaks (DSBs) in peripheral mouse lymphocytes in vivo was determined using the γ-H2AX biodosimetry marker. Using a serial sacrifice experimental design, whole-body radiation absorbed doses for ¹³⁷Cs (0 to 10 Gy) and ⁹⁰Sr (0 to 49 Gy) were delivered over 30 days following exposure to each radionuclide. The committed absorbed doses of the two internal emitters as a function of time post exposure were calculated based on their retention parameters and their derived dose coefficients for each specific sacrifice time. In order to measure the kinetic profile for γ-H2AX, peripheral blood samples were drawn at 5 specific timed dose points over the 30-day study period and the total γ-H2AX nuclear fluorescence per lymphocyte was determined using image analysis software. A key finding was that a significant γ-H2AX signal was observed in vivo several weeks after a single radionuclide exposure. A mechanistically-motivated model was used to analyze the temporal kinetics of γ-H2AX fluorescence. Exposure to either radionuclide showed two peaks of γ-H2AX: one within the first week, which may represent the death of mature, differentiated lymphocytes, and the second at approximately three weeks, which may represent the production of new lymphocytes from damaged progenitor cells. The complexity of the observed responses to internal irradiation is likely caused by the interplay between continual production and repair of DNA damage, cell cycle effects and apoptosis.     

The impact of the bystander effect on the low-dose hypersensitivity phenomenon

The aim of this study was to investigate the possible relationship between the bystander effect and the low-dose hypersensitivity/increased radio-resistance phenomenon in BJ fibroblast cells taking as response criteria different end points of radiation damage such as cell survival, chromosomal damage (as detected by using micronucleus assay) and double strand breaks (DSBs) of the DNA. Although γ-H2AX foci were observed in confluent bystander BJ cells, our data suggest that X-irradiation does not lead to a significant rate of DSBs in bystander cells. Thus, neither bystander effect induced unstable chromosomal aberrations nor bystander effect induced DSBs are sufficiently pronounced to explain the apparent relationship between bystander effect and low-dose hypersensitivity. The experiments described here suggest that the hyper-radiosensitivity phenomenon might be related to bystander factor induced cell inactivation in the low-dose region (lower than 1 Gy).     

Phosphorylation of H2AX histones in response to double-strand breaks and induction of premature chromatin condensation in hydroxyurea-treated root meristem cells of Raphanus sativus, Vicia faba, and Allium porrum

Summary. Histone H2A variant H2AX is rapidly phosphorylated on the induction of DNA double-strand breaks by ionizing radiation and hydroxyurea-mediated replication arrest, resulting in the formation of γ-H2AX foci along megabase chromatin domains nearby the sites of incurred DNA damage. In an attempt to establish a relationship between species-specific nuclear architecture and H2AX phosphorylation in S/G₂ phase-arrested root meristem cells, immunocytochemical comparisons using an antibody raised against human γ-H2AX were made among three plants differing with respect to DNA contents: Allium porrum, representing a reticulate type of DNA package, Vicia faba, having semireticulate cell nuclei, and Raphanus sativus, characterised by a chromocentric type of chromatin. Another approach was aimed at determining possible correlations between the extent of hydroxyurea-induced phosphorylation of H2AX histones and the quantities of root meristem cells induced by caffeine to enter aberrant mitotic division (premature chromosome condensation). It was concluded that the higher-order structure of chromatin may contribute to the accessibility of molecular factors engaged in the recognition and repair of genetic lesions. Consequently, in contrast to A. porrum and V. faba, a diffuse chromatin in chromocentric cell nuclei of R. sativus may become more vulnerable both to generate DNA double-strand breaks and to recruit molecular elements needed to arrange the cell cycle checkpoint functions, and thus, more resistant to factors which allow the cells to enter premature chromosome condensation spontaneously. On the other hand, however, caffeine-mediated overriding of the S-M checkpoint control system resulted in the typical appearance of premature chromosome condensation, irrespective of the genomic content of DNA. Correspondence and reprints: Department of Cytophysiology, University of Łódź, Pilarskiego 14, 90-231 Łódź, Poland.     

Microbial Pathogens Trigger Host DNA Double-Strand Breaks Whose Abundance Is Reduced by Plant Defense Responses

Immune responses and DNA damage repair are two fundamental processes that have been characterized extensively, but the links between them remain largely unknown. We report that multiple bacterial, fungal and oomycete plant pathogen species induce double-strand breaks (DSBs) in host plant DNA. DNA damage detected by histone γ-H2AX abundance or DNA comet assays arose hours before the disease-associated necrosis caused by virulent Pseudomonas syringae pv. tomato. Necrosis-inducing paraquat did not cause detectable DSBs at similar stages after application. Non-pathogenic E. coli and Pseudomonas fluorescens bacteria also did not induce DSBs. Elevation of reactive oxygen species (ROS) is common during plant immune responses, ROS are known DNA damaging agents, and the infection-induced host ROS burst has been implicated as a cause of host DNA damage in animal studies. However, we found that DSB formation in Arabidopsis in response to P. syringae infection still occurs in the absence of the infection-associated oxidative burst mediated by AtrbohD and AtrbohF. Plant MAMP receptor stimulation or application of defense-activating salicylic acid or jasmonic acid failed to induce a detectable level of DSBs in the absence of introduced pathogens, further suggesting that pathogen activities beyond host defense activation cause infection-induced DNA damage. The abundance of infection-induced DSBs was reduced by salicylic acid and NPR1-mediated defenses, and by certain R gene-mediated defenses. Infection-induced formation of γ-H2AX still occurred in Arabidopsis atr/atm double mutants, suggesting the presence of an alternative mediator of pathogen-induced H2AX phosphorylation. In summary, pathogenic microorganisms can induce plant DNA damage. Plant defense mechanisms help to suppress rather than promote this damage, thereby contributing to the maintenance of genome integrity in somatic tissues.     

Genistein-induced DNA damage is repaired by nonhomologous end joining and homologous recombination in TK6 cells

Genistein (GES), a phytoestrogen, has potential chemopreventive and chemotherapeutic effects on cancer. The anticancer mechanism of GES may be related with topoisomerase II associated DNA double-strand breaks (DSBs). However, the precise molecular mechanism remains elusive. Here, we performed genetic analyses using human lymphoblastoid TK6 cell lines to investigate whether non-homologous DNA end joining (NHEJ) and homologous recombination (HR), the two major repair pathways of DSBs, were involved in repairing GES-induced DNA damage. Our results showed that GES induced DSBs in TK6 cells. Cells lacking Ligase4, an NHEJ enzyme, are hypersensitive to GES. Furthermore, the sensitivity of Ligase4^−/− cells was associated with enhanced DNA damage when comparing the accumulation of γ-H2AX foci and number of chromosomal aberrations (CAs) with WT cells. In addition, cells lacking Rad54, a HR enzyme, also presented hypersensitivity and increased DNA damages in response to GES. Meanwhile, Treatment of GES-lacking enhanced the accumulation of Rad51, an HR factor, in TK6 cells, especially in Ligase4^−/−. These results provided direct evidence that GES induced DSBs in TK6 cells and clarified that both NHEJ and HR were involved in the repair of GES-induced DNA damage, suggesting that GES in combination with inhibition of NHEJ or HR would provide a potential anticancer strategy.     

Gamma-H2AX in recognition and signaling of DNA double-strand breaks in the context of chromatin

DNA double-strand breaks (DSBs) are extremely dangerous lesions with severe consequences for cell survival and the maintenance of genomic stability. In higher eukaryotic cells, DSBs in chromatin promptly initiate the phosphorylation of the histone H2A variant, H2AX, at Serine 139 to generate γ-H2AX. This phosphorylation event requires the activation of the phosphatidylinositol-3-OH-kinase-like family of protein kinases, DNA-PKcs, ATM, and ATR, and serves as a landing pad for the accumulation and retention of the central components of the signaling cascade initiated by DNA damage. Regions in chromatin with γ-H2AX are conveniently detected by immunofluorescence microscopy and serve as beacons of DSBs. This has allowed the development of an assay that has proved particularly useful in the molecular analysis of the processing of DSBs. Here, we first review the role of γ-H2AX in DNA damage response in the context of chromatin and discuss subsequently the use of this modification as a surrogate marker for mechanistic studies of DSB induction and processing. We conclude with a critical analysis of the strengths and weaknesses of the approach and present some interesting applications of the resulting methodology.     

Measurement of DNA damage in peripheral blood by the γ-H2AX assay as predictor of colorectal cancer risk

The detection of γ-H2AX focus is one of the most sensitive ways to monitor DNA double-strand breaks (DSBs). Although changes in γ-H2AX activity have been studied in tumor cells in colorectal cancer (CRC), changes in peripheral blood lymphocytes (PBLs) have not been examined previously. We hypothesize that higher levels of irradiation-induced γ-H2AX in PBLs may be associated with an elevated risk of colorectal cancer (CRC). In a case-control study, the baseline and ionizing radiation (IR)-induced γ-H2AX levels in PBLs from frequency-matched 320 untreated CRC patients and 320 controls were detected by a laser scanning cytometer-based immunocytochemical method. We used unconditional multivariable logistic regression to evaluate CRC risk by using the ratio of IR-induced γ-H2AX to the baseline levels with adjustment of age, sex and smoking status. We found CRC cases had significantly higher γ-H2AX ratio (1.5 vs. 1.41, P < 0.0001) compared with controls. When using the median γ-H2AX ratio of controls as a cutoff point, we found higher γ-H2AX ratio was significantly associated with an increased risk of CRC (OR = 6.72, 95% CI = 4.54–9.94). Quartile analyses also showed significant dose–response relationship between higher γ-H2AX ratio and increased risk of CRC (P for trend < 0.0001). Age, sex, BMI and smoking status also influenced the association of γ-H2AX ratio with CRC risk; however, no interactions with γ-H2AX ratio were observed. These results support the premise that DSBs in peripheral blood as measured by γ-H2AX level might represent an intermediate phenotype to assess the risk of CRC. Future prospective studies are necessary to confirm our findings in independent populations.     

DNA single-strand breakage in mammalian cells induced by redox cycling quinones in the absence of oxidative stress

Quinone-induced cell death is often attributed to oxidative stress during which the formation of DNA strand breaks is thought to play an important role. In this study, extensive DNA damage was observed in human chronic myelogenous leukemic cells (K562) exposed for 15 minutes to low concentrations (15–100 μM) of the redox cycling quinones 2,3-dimethoxy-1,4-naphthoquinone (2,3-diOMe-1,4-NQ) and menadione. However, DNA strand breakage and cell death could not be attributed to oxidative stress as the intracellular level and redox status of the reducing equivalents NADP(H) and GSH were unaffected. The intracellular level of NAD⁺ was found to correlate well with the extent of DNA repair (r = 0.93, P < 0.02) and cell proliferation (r = 0.96, P < 0.01) in cells exposed to the quinones. In contrast, a significant decrease in the level of intracellular ATP was only observed in cells exposed to menadione (50–100 μM). These results suggest that redox cycling quinones are capable of inducing DNA damage in mammalian cells by a mechanism that does not involve oxidative stress. Following DNA damage, cell death is dependent on the availability of NAD⁺, which may be key to the rapid repair of strand breaks. © 1995 John Wiley & Sons, Inc.