Early Expression of Angiogenesis Factors in Acute Myocardial Ischemia and Infarction
Sang H. Lee, M.D., Paul L. Wolf, M.D., Ryan Escudero, B.S., Reena Deutsch, Ph.D., Stuart W. Jamieson, M.B., F.R.C.S., and Patricia A. Thistlethwaite, M.D., Ph.D.
Background When the myocardium is deprived of blood, a processof ischemia, infarction, and myocardial remodeling is initiated.Hypoxia-inducible factor 1 (HIF-1) is a transcriptional activatorof vascular endothelial growth factor (VEGF) and is criticalfor initiating early cellular responses to hypoxia. We investigatedthe temporal and spatial patterns of expression of the subunitof HIF-1 (HIF-1) and VEGF in specimens of human heart tissueto elucidate the early molecular responses to myocardial hypoxia.
Methods Ventricular-biopsy specimens from 37 patients undergoingcoronary bypass surgery were collected. The specimens were examinedby microscopy for evidence of ischemia, evolving infarction,or a normal histologic appearance. The specimens were also analyzedwith the reverse-transcriptase polymerase chain reaction forHIF-1 and VEGF messenger RNA (mRNA) expression and by immunohistochemicalanalysis for the location of the HIF-1 and VEGF proteins.
Results HIF-1 mRNA was detected in myocardial specimens withpathological evidence of acute ischemia (onset, <48 hoursbefore surgery) or early infarction (onset, <24 hours beforesurgery). In contrast, VEGF transcripts were seen in specimenswith evidence of acute ischemia or evolving infarction (onset,24 to 120 hours before surgery). Patients with normal ventriclesor evidence of infarction in the distant past had no detectablelevels of either VEGF mRNA or HIF-1 mRNA. HIF-1 immunoreactivitywas detected in the nuclei of myocytes and endothelial cells,whereas VEGF immunoreactivity was found in the cytoplasm ofendothelial cells lining capillaries and arterioles.
Conclusions An increase in the level of HIF-1 is an early responseto myocardial ischemia or infarction. This response defines,at a molecular level, one of the first adaptations of humanmyocardium to a deprivation of blood. HIF-1 is a useful temporalmarker of acutely jeopardized myocardium.
Hypoxia is a potent regulator of a variety of biologic processes,including angiogenesis, vascular contractility, and erythropoiesis.1,2,3,4When a coronary artery is partially or totally occluded, metabolicand contractile changes are initiated in the heart within seconds.5Some of these early changes facilitate cellular preservationand functional survival of the heart. If the myocardium remainsdeprived of blood, changes of progressively greater severityeventually culminate in cell death, tissue necrosis, and myofibrillarremodeling.6
Hypoxia-inducible factor 1 (HIF-1) is a transcriptional factorthat is expressed in response to a decrease in the partial pressureof cellular oxygen and activates genes involved in angiogenesis,glycolysis, modulation of vascular tone, and erythropoiesis.7,8,9,10,11It is a heterodimer composed of and ß subunits, bothof which are members of the family of basic helixloophelixpeptides.12 HIF-1 is an 826-amino-acid protein that functionsas a trans-acting transcriptional activator of vascular endothelialgrowth factor (VEGF), inducible nitric oxide synthase, lactatedehydrogenase, and erythropoietin.13,14,15,16 HIF-1ßis a constitutively expressed nuclear translocator protein thatforms heterodimers with HIF-1 as well as other nuclear proteins.17
Several studies have found increased levels of HIF-1 messengerRNA (mRNA) in hypoxic cultured cells and in organs (the retinaand lung) of animals exposed to short- or long-term hypoxia.18,19,20We hypothesized that an increase in the steady-state levelsof HIF-1 mRNA is one of the earliest responses to myocardialischemia and infarction in humans and that it potentially isan important stimulus of angiogenesis and myocardial-cell survival.To investigate this possibility, we examined HIF-1 mRNA expressionin relation to changes in steady-state levels of VEGF mRNA.VEGF is an inducible factor that controls capillary growth andangiogenesis in several organ systems.21 The temporal and spatialpatterns of expression of HIF-1 and VEGF proteins were alsostudied to identify molecular markers of the myocardial responseto ischemia.
Methods
Selection of Patients
Between November 1997 and April 1998, 37 patients (27 men and10 women; mean age, 65.9 years; range, 55 to 75 years) who wereundergoing coronary bypass surgery were enrolled in the study.Seven of these patients had a clinical history, electrocardiographicfindings, and creatine kinase and troponin I levels indicatingthat myocardial infarction had occurred within the preceding24 hours (early infarction); 8 patients had evidence, on thebasis of the same variables, that myocardial infarction hadoccurred during the preceding 24 to 120 hours (evolving infarction);and 10 patients had evidence of myocardial ischemia of lessthan 48 hours' duration (acute ischemia), defined as anginaor heart failure without Q waves on the electrocardiogram andwithout an increase in serum levels of creatine kinase and troponinI. Twelve patients underwent coronary bypass surgery but hadnot had angina or heart failure within the preceding 10 days.According to usual practice at our institution, myocardial infarctionwas defined as a total creatine kinase level of more than 150U per liter (normal range, 10 to 150) or a troponin I levelof more than 0.6 ng per milliliter (normal range, less than0.6).22
The criteria for enrollment included the need for urgent orelective coronary bypass surgery, an age between 55 and 75 years,and written informed consent for heart biopsy. The study wasapproved by the University of California, San Diego, institutionalreview board.
Biopsy of Myocardium
After the induction of anesthesia and median sternotomy, theheart of each patient was examined, and 3-mm, partial-thicknessbiopsy specimens were taken from the left ventricle. In patientswith early or evolving infarction, specimens were taken fromthe area of presumed infarction as well as from an area of theventricle free of coronary disease that could have caused ischemiaor infarction. Likewise, in patients with acute ischemia, specimenswere taken from the area of ischemia as well as from an areaof normal ventricular tissue. In this way, each patient withischemia or infarction served as his or her own control. Inpatients without evidence of ischemia or infarction, a singleventricular-biopsy specimen was obtained. All biopsies wereperformed before cardiopulmonary bypass, during ventilationwith a fraction of inspired oxygen of 40 percent and peripheraloxygen saturations of greater than 95 percent. Biopsy siteswere closed with polypropylene sutures.
Extraction of RNA and Analysis of Specimens
Half of each biopsy specimen was fixed in formalin, sectionedto a thickness of 5 µm, mounted on slides, and stainedwith hematoxylin and eosin. The mounted specimens were thenexamined for evidence of acute ischemia and early or evolvinginfarction.23 The other half of each specimen was frozen inliquid nitrogen at 140°C. Portions of the frozensamples were lyophilized, and then RNA was extracted by theacid guanidinium thiocyanatephenolchloroform technique,as previously described.24,25
The recovered RNA pellet was dried under vacuum conditions for10 to 15 minutes and then dissolved in diethyl pyrocarbonatetreateddeionized distilled water. The concentration and purity of theRNA were determined by spectrophotometric analysis (UltrospecII, Biochrom, Cambridge, England) at 260 and 280 nm. The sampleswere stored at 80°C until analyzed.
Measurement of RNA
The reverse-transcriptase polymerase chain reaction (PCR) wasused to analyze each ventricular specimen for the presence oftranscripts encoding HIF-1, HIF-1ß, VEGF, and cyclophilin.Cyclophilin mRNA was studied as a marker to control for variationin RNA concentration and RNA degradation as potential confoundingvariables. Five micrograms of total RNA was used to synthesizecomplementary DNA (cDNA) with Super Script II Reverse Transcriptaseand oligo(dT)12,13,14,15,16,17,18 (GIBCO BRL, Gaithersburg,Md.). The synthesized primers had the following sequences: forHIF-1, 5'CTGTGATGAGGCTTACCATCAGC3' and 5'CTCGGCTAGTTAGGGTACACTTC3';for HIF-1ß, 5'CAGGTCGGATGATGAGCAGAGCA3' and 5'CTCATGGAAGACTGCTGACCTTC3';for VEGF, 5'GGATGTCTATCAGCGCAGCTAC3' and 5'TCACCGCCTCGGCTTGTCACATC3';and for cyclophilin, 5'GTGACTTCACACGCCATAATGGC3' and 5'GGTGCTCTCCTGAGCTACAGAAGG3'.
Duplicate amplification reactions were carried out with a single-blockthermocycler (Ericomp, San Diego, Calif.) containing 2 µlof first-strand cDNA, 1 µl of each primer, deoxynucleotidetriphosphates (at 10 mM each), 25 mM magnesium chloride, 0.5U of Taq DNA polymerase, and 36.5 µl of autoclaved distilledwater. Each sample underwent initial denaturation at 95°Cfor 5 minutes, 35 cycles of denaturation at 95°C for 30seconds, annealing at 55°C for 1 minute, extension at 72°Cfor 1 minute, and a final extension at 72°C for 10 minutes.The PCR products were electrophoresed on 1.8 percent agarosegels containing 3 percent ethidium bromide in TRISacetateEDTAbuffer. The gels were photographed with an electrophoresis photodocumentationcamera (Fisher Scientific, Pittsburgh) on black-and-white film(3000ISO, Polaroid, Cambridge, Mass.).
Immunohistochemical Staining for HIF-1 and VEGF
Portions of the frozen biopsy specimens were fixed in 10 percentformalin and prepared as 5-µm-thick tissue sections onslides. The paraffin was then removed with a xylene substitute(Hemo-De, Fisher Scientific) and the sections were rehydratedwith ethanol gradient washes. The sections of affected tissueand normal tissue from patients with ischemia or infarctionand the sections from patients without ischemia or infarctionwere incubated with either mouse antihuman HIF-1 IgG (IgG2v,Novus Biological, Littleton, Colo.) or mouse antihuman VEGFIgG (IgG2a, Santa Cruz Biotechnology, Santa Cruz, Calif.) ata 1:100 dilution. Control sections were incubated with dilutednormal horse serum (Vector Laboratories, Burlingame, Calif.)instead of the primary antibody. All the sections were subsequentlyincubated with biotinylated secondary antimouse antibodies andstained with an immunoperoxidase technique (Vectastain EliteABC reagents, Vector Laboratories). Sections were dried andmounted (Gel Mount, Biomeda, Foster City, Calif.), examinedwith a photomicroscope, and photographed on color film (Fujicolor100, Tokyo, Japan).
Statistical Analysis
Data for each continuous variable were examined with the ShapiroWilkW test to determine whether assumptions of normality were valid.When continuous variables were compared among the groups ofpatients, an independent Student's t-test and one-way analysisof variance were used for normally distributed data, and theWilcoxon rank-sum test and the KruskalWallis test wereused for non-normally distributed data. For all the tests, thesignificance level was 5 percent. When significant differenceswere found among the groups, pairwise comparisons were madeto identify the source of the differences. Overall type I errorrates of 5 percent were controlled with use of the TukeyKramerhonestly-significant-differences test (with analysis of variance)or the Nemenyi test (with the KruskalWallis test). Descriptivedata for continuous variables are reported as means ±SDor as medians and ranges. Categorical variables are presentedas numbers and percentages. Data were analyzed with JMP software(version 3.2.1, SAS Institute, Cary, N.C.) or with a programwritten in S+ (version 5.0, release 3, MathSoft, Seattle).
Results
Classification of Ventricular Specimens and Preoperative Characteristics of the Patients
All ventricular-biopsy specimens were examined by light microscopyfor evidence of ischemia or infarction by a cardiac pathologistwho was unaware of the patients' identity. Seven specimens hadpathological evidence of acute myocardial infarction that hadoccurred less than 24 hours before biopsy (designat- ed theearly-infarction group), 8 specimens had evidence of acute infarctionthat had occurred 24 to 120 hours before biopsy (the evolving-infarctiongroup), 10 specimens had evidence of acute ischemia that hadoccurred less than 48 hours before biopsy (the ischemia group),and 12 specimens had no evidence of ischemia or infarction (thecontrol group). For each patient in the first three groups,the second ventricular-biopsy specimen, taken from an area remotefrom the ischemic or infarcted area, was found on microscopicalexamination to be normal.
The characteristics and cardiac measurements of the patientsbefore coronary bypass surgery and heart biopsy are shown inTable 1. There were no apparent differences in age or sex distributionamong the four groups of patients. There were no significantdifferences in the peak levels of troponin I and creatine kinasebetween the seven patients in whom acute myocardial infarctionhad occurred less than 24 hours before biopsy (early infarction)and the eight patients in whom infarction had occurred 24 to120 hours before biopsy (evolving infarction). The seven patientswith early infarction had higher pulmonary-capillary wedge pressures(P<0.001), had lower ejection fractions (P<0.01), andwere in higher New York Heart Association functional classesthan those with ischemia occurring less than 48 hours beforebiopsy and those without ischemia or infarction.
Table 1. Characteristics of the Patients Undergoing Coronary-Artery Bypass Surgery According to the Presence or Absence of Infarction or Ischemia in Ventricular-Biopsy Specimens.
Pathological Analysis of Ventricular Specimens
There were direct correlations between clinical course (onsetof chest pain and electrocardiographic changes) and the pathologicalclassifications of the affected specimens. Figure 1 shows representativebiopsy specimens from the four groups of patients. There wereno correlations between the levels of troponin I or creatinekinase and the severity of myocardial necrosis in any of thespecimens. This lack of correlation may reflect a sampling bias,since only a single affected biopsy specimen was obtained fromeach patient.
Figure 1. Pathological Changes in Representative Ventricular-Biopsy Specimens (Hematoxylin and Eosin, x200).
The specimen from a patient with early transmural myocardial infarction (onset, <24 hours before surgery) shows wavy fibers, coagulation necrosis with hypereosinophilia, and loss of myofibrils (Panel A). The specimen from a patient with evolving transmural myocardial infarction (onset, 24 to 120 hours before surgery) shows disintegrating myofibers and myocytolysis, disintegrating neutrophils, and infiltration of monocytes and macrophages (Panel B). The specimen from a patient with focal acute ischemia (onset, <48 hours before surgery) shows wavy fibers and intact nuclei in myocytes (Panel C). The specimen from a patient with no ischemia or infarction has a normal cellular appearance (Panel D).
Molecular Analysis of Ventricular Specimens
Figure 2 shows the results of the PCR analysis of samples ofRNA from ventricular specimens from the four groups of patients.All seven patients with early infarction had detectable steady-statelevels of HIF-1 mRNA in the specimen from the infarcted regionand did not have detectable levels of HIF-1 mRNA in the normalventricular specimen. VEGF transcripts were not detected inany biopsy specimens from this group. Patients with evolvinginfarction had both HIF-1 transcripts and VEGF transcripts inspecimens from the infarcted area of the ventricle only. Likewise,patients with acute ischemia had HIF-1 and VEGF transcriptsin specimens from the affected myocardial territory but notin control specimens. Patients with no infarction or ischemiahad no detectable expression of HIF-1 or VEGF mRNA in theirsingle specimens.
Figure 2. Results of Analysis of Ventricular-Biopsy Specimens by the Polymerase Chain Reaction.
In specimens in the early-infarction group, the onset of infarction was less than 24 hours before surgery; in those in the evolving-infarction group, the onset of infarction was 24 to 120 hours before surgery; and in those in the ischemia group, the onset of ischemia was less than 48 hours before surgery. In each pair, 1 denotes the specimens taken from an area of normal ventricular tissue, and 2 the specimens taken from an area of ischemic or infarcted ventricular tissue. The lengths of the transcripts detected are shown on the right.
The HIF-1 mRNA detected in all the affected specimens was 383bp long. The VEGF mRNA detected in specimens from patients withevolving infarction or ischemia was present as two transcripts,445 and 517 bp long. These two VEGF transcripts correspond tothe known protein isoforms VEGF165 and VEGF182. All the samplescontained HIF-1ß mRNA, indicating that the ßmoiety is not sensitive to hypoxia in the heart. We found thatlevels of cyclophilin mRNA were consistently equal among thesamples studied.
Localization of HIF-1 and VEGF Proteins in Hypoxic Myocardium
Immunohistochemical staining with antibody to HIF-1 of sectionedbiopsy specimens from patients with early or evolving infarctionor ischemia revealed HIF-1 protein throughout areas of infarctedor ischemic myocardium. Specifically, immunoreactivity was seenin the nuclei of cardiomyocytes and endothelial cells liningthe small vessels (Figure 3). HIF-1 protein was not presentin noninfarcted or nonischemic myocardium (data not shown).The level of expression of HIF-1 was higher in the myocardiumthan in the endothelium.
Figure 3. Localization of HIF-1 and VEGF Proteins in Ventricular-Biopsy Specimens (Immunohistochemical Staining, x400).
Immunohistochemical analysis of ischemic or infarcted ventricular-biopsy specimens was performed on permanent sections without antibody to HIF-1 (Panel A), with antibody to HIF-1 (Panel B), without antibody to VEGF (Panel C), and with antibody to VEGF (Panel D). The results show localization of HIF-1 in the nuclei of cardiomyocytes and endothelial cells in the section analyzed with antibody to HIF-1 (Panel B, arrows) and localization of VEGF in the cytoplasm of endothelial cells in the section analyzed with anti-VEGF antibody (Panel D, arrow).
VEGF immunoreactivity was seen in biopsy specimens with evidenceof evolving infarction and in those with evidence of acute ischemia(onset, <48 hours before surgery). In contrast to HIF-1,VEGF protein in these specimens was found only in the cytoplasmof endothelial cells lining the small vessels and was not presentin cardiomyocytes (Figure 3). VEGF protein was not detectedin specimens with early infarction but was detected in specimenswith evolving infarction or specimens with ischemia, in whichit was confined to the myocardial vasculature. We did not detectHIF-1 protein or VEGF protein by Western blot analysis of theperipheral blood of any of the patients (data not shown), suggestingthat these proteins and their effects are confined to the heart.
Discussion
To survive periods of stress and ischemia, the human heart hasdeveloped mechanisms to adapt to changes in its environment.One of these mechanisms is the ability to promote growth ofnew blood vessels into ischemic areas, thus limiting regionsof impairment and ultimately preserving myocardial function.26The decrease in the partial pressure of cellular oxygen inducedby ischemia is a potent stimulator of neovascularization inseveral organ systems. Semenza has shown in both in vitro andin vivo models of ischemia that one of the first genes up-regulatedby hypoxia is the gene encoding HIF-1.7 HIF-1 protein is composedof two distinct peptides. Expression of the gene for HIF-1 isexquisitely sensitive to the onset of cellular hypoxic conditions,making it one of the earliest effectors of the response to ischemia.27HIF-1ß, the other component of the HIF-1 protein,is a high-affinity protein that binds to HIF-1 in the cytosoland transports HIF-1 into the nucleus, where HIF-1 may exertits trans-acting effect.28 Expression of HIF-1ß isconstitutive, not sensitive to hypoxia, in several types oftissue culture and in solid organs.29
After it is activated by a low partial pressure of cellularoxygen, HIF-1 binds to a specific hypoxia-responsive elementin the regulatory regions of several hypoxia-sensitive genes,leading to their transcriptional activation. We hypothesizedthat one of the most crucial actions of HIF-1 is to regulatethe gene encoding the angiogenesis factor VEGF and thus ultimatelyto trigger the cascade of angiogenesis.
The goal of this study was to examine specimens of human hearttissue affected by various degrees of ischemic insult and tocorrelate the physiologic and pathological state of the heartwith the temporal and spatial expression of HIF-1 and VEGF.In our patients, we detected increased steady-state levels ofHIF-1 mRNA during the early period (the first 24 hours) afteracute myocardial infarction or during acute myocardial ischemia.This accumulation of mRNA was limited to the region of affectedmyocardium. No HIF-1 transcripts were detectable by PCR analysisin specimens of nonischemic or noninfarcted tissue. These resultssuggest that HIF-1 is an early molecular marker of myocardialischemia or infarction. The production of this protein and itseffects appear to be limited to the heart, since it was notdetected in the peripheral blood of our patients.
Immunoreactivity to HIF-1 was detected in both myocardial andendothelial cells in all specimens of human heart affected byischemia or infarction. Since the half-life of HIF-1 proteinhas been estimated to be on the order of minutes,30 we surmisethat HIF transcription or stabilization of HIF mRNA continuesthroughout early ischemia or infarction to generate proteinat levels that are detectable by antibody staining.
Two important limitations of this study should be recognized.First, by using the PCR to detect steady-state levels of HIF-1and VEGF mRNA, we did not measure the amount of transcript presentin each tissue specimen. Rather, we determined whether mRNAwas present or absent at the defined sensitivity of the assay(1 or more mRNA molecules per 1000 cells).31 Our study did notdistinguish whether the spatial and temporal accumulation ofHIF-1 and VEGF mRNA in the heart reflected enhanced transcriptionor enhanced stabilization of mRNA. Evidence from cultured celllines32,33 and animal models34 suggests that both mechanismsmay be important in the regulation of hypoxia-sensitive genes.Second, since our study examined specimens from human subjects,it was necessarily limited in scope and time course. Despiteour inability to perform serial biopsies in individual patients,we found clear evidence that HIF-1 expression is confined tothe region of acute hypoxia in the heart; that it is initiatedwithin hours of the onset of myocardial ischemia or infarction,or even earlier; and that detectable levels of HIF-1 mRNA aretransient. Our results suggest that HIF-1 induced by ischemiamay be a signal mechanism for controlling the early-to-intermediateexpression of genes that initiate angiogenesis during myocardialhypoxia.
VEGF has an important role in stimulating the growth of newcapillaries in several organ systems and thus is a good candidatefor the role of stimulating neovascularization to limit damagefrom infarction in the heart. Although the mechanism of enhancedVEGF expression remains to be determined, it is worth notingthat the gene for VEGF has an HIF-1 regulatory consensus sequence(a hypoxia-responsive element) in its promoter region.35 Theseobservations, together with the previous finding that HIF-1is responsible for the increase in VEGF in cultured hypoxicmyocytes,36 suggest that the increase in myocardial HIF-1 proteinthat we detected in ischemic and infarcted tissue is necessary,at least in part, for the enhanced expression of myocardialVEGF in states of ischemia.
We found in specimens of human heart tissue that steady-statelevels of VEGF mRNA were present in the initial periods of ischemia(<48 hours after onset) and in the intermediate periods ofinfarction (24 to 120 hours after onset). Expression of VEGFpersisted for a longer time after the onset of myocardial ischemiaor infarction than did HIF-1 expression. This suggests thatthe response of HIF-1 to ischemia occurs early and is transient,whereas the VEGF response is of longer duration and is probablynecessary for preservation of the myocardium and limitationof hypoxic cellular destruction. VEGF protein in the myocardiumwas found only in the endothelium that lined medium and smallarterioles and capillaries, in contrast to HIF-1 protein, whichwas expressed in both vascular endothelial cells and myocardialcells. This observation suggests that the angiogenic effectsof HIF-1 and VEGF are limited to regions of terminal small vesselsin the myocardium. The importance of the difference betweenthe types of cells that express HIF-1 (endothelial and myocardialcells) and those that express VEGF (endothelial cells) remainsto be determined. It is possible that in myocardial cells HIF-1controls hypoxia-responsive genes other than the gene encodingVEGF.
In conclusion, we defined at a molecular level the sequentialexpression of HIF-1 and VEGF in the human heart during ischemia.The genes encoding these two proteins are molecular temporaland spatial markers of ischemic myocardium. The presence ofHIF-1 mRNA and subsequently the presence of VEGF mRNA in theheart tissue of patients with infarction provide compellingnew evidence that HIF-1 contributes to limitation of infarctsize by promoting angiogenesis and vascular remodeling and thatit does so by increasing steady-state levels of VEGF mRNA. Theexpression of HIF-1 by both myocardial cells and endothelialcells in the hypoxic heart raises the possibility that HIF-1has a broad role in myocardial disease associated with ischemiaand infarction. Although elucidation of the pathophysiologicimportance of HIF-1 in these conditions awaits the availabilityof specific HIF-1 antagonists, the present study provides newinformation about variations in local synthesis and distributionof HIF-1 and VEGF in human heart disease. Further elucidationof the effects of these proteins may reveal clues for approachesto limiting infarct size and the sequelae of hypoxic damageto the myocardium.
Supported in part by the Nina Braunwald Career Development Awardfrom the Thoracic Surgery Foundation (to Dr. Thistlethwaite)and by a grant from the National Institutes of Health (MO1 RR0827, to Dr. Deutsch).
We are indebted to Angela Ramsey for assistance in the preparationof the manuscript.
Source Information
From the Division of Cardiothoracic Surgery (S.H.L., R.E., S.W.J., P.A.T.), the Department of Pathology (P.L.W.), and the General Clinical Research Center (R.D.), University of California, San Diego; and the Department of Pathology, Veterans Affairs Medical Center, San Diego (P.L.W.).
Address reprint requests to Dr. Thistlethwaite at the Division of Cardiothoracic Surgery (8892), University of California, San Diego, 200 W. Arbor Dr., San Diego, CA 92103-8892, or at pthistlethwaite{at}ucsd.edu.
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