Phenylacetic acid improves bud elongation and in vitro plant regeneration efficiency in Helianthus annuus L.

We have developed a highly efficient three-stage protocol for plant regeneration in sunflower (Helianthus annuus L.) from embryonal cotyledons. This protocol uses phenylacetic acid (PAA) for both shoot-bud induction and the elongation of smaller buds. The medium used for inducing bud formation from the cotyledons was modified MS medium supplemented with 3 mg/l 6-benzylaminopurine (BAP) and 0.5 mg/l PAA. Buds were elongated on MS medium supplemented either with only 0.2 mg/l gibberellic acid (GA₃) or with 0.2 mg/l GA₃ + 0.1 mg/l PAA + 0.3 mg/l BAP. The elongated shoots were then transferred onto rooting medium containing 1 mg/l PAA. The complete plantlets with well-developed roots were transferred to field conditions where they survived and set normal seeds. The induction of shoot buds from embryonal cotyledons was also observed on modified MS medium supplemented with 0.5-5 mg/l BAP in combination with 0.5-5 mg/l !-naphthaleneacetic acid (NAA). In this case, the formation of callus took place along with shoot-bud formation, which hindered further development of the latter. The presence of PAA with BAP in the primary bud induction medium promoted normal development and elongation of shoot buds.     

Graft-induced genetic changes and the inheritance of several characteristics in pepper (Capsicum annuum L.)

 The general characteristics of several graft-induced changes in pepper were investigated in a cross experiment. F₁, F₂, and BC₁ progenies derived from crosses of the original stock and scion cultivars ‘Spanish Paprika’ and ‘Yatsubusa’, respectively, as well as their graft-induced variant strain G₅S₂₅ were analyzed for inheritance of the most conspicuous graft-induced variant traits. As part of a research program with the aim of revealing the mechanism of graft induction, the present study was carried out to examine the stability of the phenotypic changes and the characteristics of the graft-induced variants. For the fruit apex, a two-gene system was suggested, with other factors having a modifying influence. One of the two apex genes acted for pointed fruits and the other for inverted-blunt fruits. The inverted-blunt gene, the apex gene of the stock, was unambiguously present in the graft-induced variants, while the pointed gene that acted in the dominant mode in the original scion was inactive and expressed only under certain conditions in a mosaic state. The stable inverted-blunt cultivar used for the stock maintained certain factor(s) for pointed fruit, but the presence of that factor(s) could not be detected in graft-induced variants. The results of pungency analysis suggested a gene for non-pungency that appeared to be introduced in the graft-induced variants. The fruiting habit and fruiting direction that appeared in a mosaic state in graft-induced variants were found to combine factors of the stock with the appropriate characteristics of the scion asymmetrically. The bushy plant type appeared in a transgressive state in the variants, showing a definitely higher number of branches on the main stem and more frequent ramifications on the complete plant than on either the stock and scion cultivars or the progency derived from sexual crosses. A change in mature fruit color from red to yellow occurred in an early generation of graft-induced variants. Our results demonstrate that some of the characteristics of the stock were introduced into the progeny obtained from selfed seeds of the scion and that novel characteristics appeared as a result of graft induction. Received: 30 December 1997 / Accepted: 3 March 1998     

Spectrum of resistance to root-knot nematodes and inheritance of heat-stable resistance in in pepper (Capsicum annuum L.)

Capsicum annuum L. has resistance to root-knot nematodes (RKN) (Meloidogyne spp.), severe polyphagous pests that occur world-wide. Several single dominant genes confer this resistance. Some are highly specific, whereas others are effective against a wide range of species. The spectrum of resistance to eight clonal RKN populations of the major Meloidogyne species, M. arenaria (2 populations), M. incognita (2 populations), M. javanica (1 population), and M. hapla (3 populations) was studied using eight lines of Capsicum annuum. Host susceptibility was determined by counting the egg masses (EM) on the roots. Plants were classified into resistant (R; EM ≤ 5) or susceptible (H; EM >5) classes. The french cultivar Doux Long des Landes was susceptible to all nematodes tested. The other seven pepper lines were highly resistant to M. arenaria, M. javanica and one population of M. hapla. Variability in resistance was observed for the other two populations of M. hapla. Only lines PM687, PM217, Criollo de Morelos 334 and Yolo NR were resistant to M. incognita. To investigate the genetic basis of resistance in the highly resistant line PM687, the resistance of two progenies was tested with the two populations of M. incognita: 118 doubled-haploid (DH) lines obtained by androgenesis from F₁ hybrids of the cross between PM687 and the susceptible cultivar Yolo Wonder, and 163 F₂ progenies. For both nematodes populations, the segregation patterns 69 R / 49 S for DH lines and 163 R / 45 S for F₂ progenies were obtained at 22°C and at high temperatures (32°C and 42°C). The presence of a single dominant gene that totally prevented multiplication of M. incognita was thus confirmed and its stability at high temperature was demonstrated. This study confirmed the value of C. annuum as a source of complete spectrum resistance to the major RKN. Received: 2 July 1998 / Accepted: 11 March 1999     

观赏辣椒一步成苗诱导条件的筛选

采用正交试验设计方法探讨6-BA、NAA和2,4-D对观赏辣椒一步成苗影响的结果表明:6-BA与NAA的浓度比对丛生芽诱导的影响最大。筛选出的观赏辣椒一步成苗的最适培养基为1/2MS 1.0mg·L-16-BA 0.5mg·L-1NAA 0.2mg·L-12,4-D,并获得移栽后的成活植株。     

辣椒胞质雄性不育系和保持系内源激素含量的比较

以2个辣椒品系(199807、199803)的胞质雄性不育系和相应保持系为实验材料,采用酶联免疫吸附法(ELISA)测定IAA、(Z ZR)、GA3和ABA等内源激素含量,用气相色谱分析仪测定乙烯(ETH)释放量,对辣椒胞质雄性不育系和相应保持系内源激素含量变化规律进行研究.实验结果表明:在四分小孢子之前,花药中的IAA含量不育系显著高于保持系,在四分小孢子时期花药和花蕾中的IAA含量出现转折,到花粉粒成熟期的花蕾和花药以及开花期叶片中的IAA含量均是不育系显著低于保持系;小孢子各发育时期花药以及花期叶片中GA3含量均是不育系高于保持系,但花粉粒成熟期化蕾中GA3含量为不育系低于保持系;小孢子不同发育时期的花药以及花期叶片中ABA含量始终足不育系显著高于保持系,而花粉粒成熟期花蕾中ABA含量不育系与保持系没有显著差异;花粉粒成熟期的花蕾和花期叶片中ETH释放量表现为不育系显著高于保持系.同时,花粉粒成熟期的花蕾、花药和叶片中IAA/ABA、(Z ZR)/ABA、GA3/ABA、IAA/GA3、(Z ZR)/GA3等5个激素的比值均有不育系低于保持系的趋势.本实验结果说明辣椒的育性表现与花器和叶片等组织中内源激素的含量变化有关,花药和花期叶片中IAA亏缺、GA3和ABA增加以及化蕾和叶片中ETH过度产生,都有可能导致辣椒雄性不育.     

An improved and reliable chili pepper (Capsicum annuum L.) plant regeneration method

In this work we report a new method forin vitro chili pepper (Capsicum annuum L.) plant regeneration based on shoot formation from wounded hypocotyls. Chili pepper seeds were surface sterilized and germinated on agar (0.8%) at 25 ± 2°C in the dark. Five factors that may influence shoot regeneration were studied: age of seedlings, hypocotyl wounding site, time elapsed between wounding the hypocotyls and decapitation of seedlings, culture media and cultivars. In order to study the influence of the first three factors on shoot regeneration, the apical, middle or basal hypocotyl regions of seedlings of cv. Mulato Bajio at different stages of development (9, 15, 16, 21 and 28 d old) were wounded with a syringe needle, and the seedlings were cultured on MS semisolid medium without growth regulators at 25 ± 2°C under a 16/8 h light/dark photoperiod (daylight fluorescent lamps; 35 mol m-² s-^-1) until decapitation. The seedlings were decapitated (3 mm below the cotyledons) at different times after wounding (0, 2, 4, 10, 12 and 14 d), and each explant was evaluated for bud and shoot formation ( 5 mm in length) at the wounded site after 30 d of incubation. In general, seedlings at the stage of curved hypocotyl (9 d old) wounded in the apical region of hypocotyl were the best explants for shoot regeneration when inoculated on culture medium without growth regulators. Decapitation after wounding also influenced the shoot regeneration efficiency, with 10–14 d being the best period. Up to 90% shoot regeneration in cv. Mulato Bajio was obtained under these conditions. Statistically significant differences were observed for shoot formation among 21 cultivars tested. Regeneration of whole plants was achieved by rooting the shoots with indole-3-butyric acid pulses of 60 mg L^–1 for 3 h and then subculturing on MS medium without growth regulators.     

辣椒花药培养的胚状体分化及其与成苗率的关系

12个辣椒品种的花药培养的结果表明,所有品种均可诱导出胚状体,其中9个品种可获得健壮的再生植株。每一辣椒品种的适宜植物生长调节利配比不同。不同品种的胚状体诱导率和成苗率有差异。成熟的胚状体均能分化成苗,根先分化或停止发育的胚状体很少成苗。     

High-resolution genetic mapping of the pepper (Capsicum annuum L.) resistance loci Me3 and Me4 conferring heat-stable resistance to root-knot nematodes (Meloidogyne spp.)

The PM687 line of Capsicum annuum L. has a single dominant gene, Me ₃ , that confers heat-stable resistance to root-knot nematodes (RKN). Me ₃ was mapped using doubled-haploid (DH) lines and F₂ progeny from a cross between the susceptible cultivar ’Yolo Wonder’ (’YW’) and the highly resistant line ’PM687’. Bulked-segregant analysis with DNA pools, from susceptible or resistant DH lines, was performed to identify RAPD and AFLP markers linked to Me ₃ . There was no polymorphism between bulks of ten DH lines using over 800 RADP primers (4,000 amplified fragments analysed). Using 512 AFLP primers (74,000 amplified fragments analysed), and bulked DNA templates from 20 resistant and 20 susceptible plants, we identified eight repulsion-phase and four coupling-phase markers linked to Me _3. Analysed in 103 DH progeny, they defined a 56.1-cM interval containing the target gene. The nearest were located 0.5, 1.0, 1.5 and 3.0 centimorgans (cM) on both sides of the gene. Analysis of the F₂ progeny (162 plants) with the nearest coupling-phase marker confirmed its close position. Another resistance gene to RKN, present in ’PM687’ (Me ₄ ), was shown to be linked to Me ₃ , 10 cM from it. In order to localize Me ₃ and Me ₄ on our reference intraspecific pepper linkage map, two AFLP markers were mapped. The Me ₃ nearest marker was 10.1cM from a RAPD marker named Q04_0.3 and 2.7cM from a RFLP marker named CT135. We investigated map-position orthologies between Me ₃ and two other nematode resistance genes, the tomato Mi-3 and the potato Gpa ₂ genes, which mapped in the telomeric region of the short arm of the tomato and potato chromosome 12 (or XII for potato). Received: 23 March 2000 / Accepted: 2 January 2001     

Plant regeneration in tissue cultures of pepper (Capsicum annuum L. cv. mathania)

Leaf, stem, hypocotyl, cotyledon, root, shoot tip and embryo explants of Capsicum annuum L. cv. mathania were cultured on Murashige and Skoog (MS) medium supplemented with 6-benzylaminopurine (BAP) or kinetin (Kin) alone or in combination with 3-indoleacetic acid (IAA), 3-indolebutyric acid (IBA), α-naphthaleneacetic acid (NAA) or 2,4-dichlorophenoxyacetic acid (2,4-D). BAP (5.0 mgl⁻¹) in the medium was found to be the best growth regulator for shoot bud differentiation. Shoot buds cultured on 5.0 mgl⁻¹ BAP increased in number but did not elongate. For obtaining complete plantlets, shoot buds were placed on a medium with IBA or NAA (0.1 mgl⁻¹). Histological evidence revealed direct differentiation of buds from cotyledons. Regenerated plants were normal diploids. Unorganized callus could not be induced to differentiate shoot buds.     

Microspore-derived embryogenesis in pepper (Capsicum annuum L.): subcellular rearrangements through development

Background information. In vitro-cultured microspores, after an appropriate stress treatment, can switch towards an embryogenic pathway. This process, known as microspore embryogenesis, is an important tool in plant breeding. Basic studies on this process in economically interesting crops, especially in recalcitrant plants, are very limited and the sequence of events is poorly understood. In situ studies are very convenient for an appropriate dissection of microspore embryogenesis, a process in which a mixture of different cell populations (induced and non-induced) develop asynchronically.Results. In the present study, the occurrence of defined subcellular rearrangements has been investigated during early microspore embryogenesis in pepper, an horticultural crop of agronomic interest, in relation to proliferation and differentiation events. Haploid plants of Capsicum annuum L. (var. Yolo Wonder B) have been regenerated from in vitro anther cultures by a heat treatment at 35 degrees C for 8 days. Morphogenesis of microspore-derived embryos has been analysed, at both light and electron microscopy levels, using low-temperature-processed, well-preserved specimens. The comparison with the normal gametophytic development revealed changes in cell organization after embryogenesis induction, and permitted the characterization of the time sequence of a set of structural events, not previously defined in pepper, related to the activation of proliferative activity and differentiation. These changes mainly affected the plastids, the vacuolar compartment, the cell wall and the nucleus. Further differentiation processes mimicked that of the zygotic development.Conclusions. The reported changes can be considered as markers of the microspore embryogenesis. They have increased the understanding of the mechanisms controlling the switch and progression of the microspore embryogenesis, which could help to improve its efficiency and to direct strategies, especially in agronomically interesting crops.     

影响辣椒离体再生芽伸长因素研究

以辣椒子叶为外植体,比较不同浓度BA和IAA激素组合对辣椒再生芽诱导的差异,利用筛选出的高效芽诱导培养基为基础,研究了赤霉素、芽诱导时间、培养基有机成分、不同激素组合和品种等因素对辣椒不定芽伸长的影响。结果表明:不同基因型辣椒子叶再生能力不同,BA3.0mg.L-1 IAA0.5mg.L-1的激素配比对不定芽诱导频率最高;不定芽的伸长百分率随着GA3浓度的增加而增加,GA3的适合浓度为1.0～2.0mg.L-1;不定芽诱导时间对不定芽的伸长有一定的影响,诱导21d的不定芽,其伸长频率明显高于诱导14d的不定芽;B5有机成分在辣椒不定芽的伸长中效果优于MS有机成分;激素组合对不定芽伸长有一定的影响,Zeatin GA3激素组合对伸长效果最好,BA IAA GA3伸长效果较好,BA PAA(苯乙酸,phenylaceticacid) GA3伸长效果次之;不同品种辣椒不定芽的伸长能力有一定差异,楚风和苏椒五号再生芽伸长能力最佳。与IAA和NAA相比,IBA对再生芽生根效果较好。     

Three New Constituents with Anti-Inflammatory and Antimicrobial Activities in Vitro from the Roots of Capsicum annuum L.

Three new compounds, including two new sesquiterpenes ( 1–2 ), named Annuumine E−F, and one new natural product, 3-hydroxy-2,6-dimethylbenzenemethanol ( 3 ), together with seventeen known compounds ( 4–20 ) were isolated from the ethanol extract of the roots of Capsicum annuum L. Among them, five compounds ( 4 , 5 , 9 , 10 and 20 ) were isolated from this plant for the first time. The structures of new compounds ( 1–3 ) were determined via detailed analysis of the IR, HR-ESI-MS and 1D and 2D NMR spectra. The anti-inflammatory activities of the isolated compounds were evaluated by their ability to reduce NO release by LPS-induced RAW 264.7 cells. Notably, compound 11 exhibited moderate anti-inflammatory activity (IC₅₀=21.11 μM). Moreover, the antibacterial activities of the isolated compounds were also evaluated.     

Silver nitrate promotes shoot development and plant regeneration of chile pepper (Capsicum annuum L.) via organogenesis

Summary Chile pepper (Capsicum annuum L.) plants were regenerated from cotyledon explantsin vitro in four major stages: bud induction, bud enlargement, shoot elongation, and root development. Bud induction medium contained 0.5 mg/L (2.9μM) indole-3-acetic acid and 2 mg/L (8.9 μM) N⁶-benzyladenine. Bud enlargement occurred, and an occasional shoot appeared when medium with 2 mg/L (6μM) gibberellic acid, 2 mg/L (8.9 μM) N⁶-benzyladenine, and 5 mg/L (29.4 μM) silver nitrate was used. Most shoots elongated after placement on a third medium without plant growth regulators or on fresh plates of bud enlargement medium. Incubations were for 2, 2, and 4 weeks, respectively, at 28.5°C and continuous light. Treatment with silver nitrate was necessary for multiple shoot production and elongation to occur in the third culture stage and was most effective when present in the second-stage medium but not in the bud induction medium. Sixteen to 26% of the shoots rooted in medium with 1 mg/L (5.4 μM) 1-naphthaleneacetic acid after 1 month. Additional shoots transferred to a second rooting medium with 0.1 or 1.0 mg/L (0.54 or 5.4 μM) 1-naphthaleneacetic acid developed roots, increasing the overall rooting efficiency to 70–72%. Most rooted shoots grew well and produced viable seeds when grown in the greenhouse. Other cytokinins tested for plant regeneration were zeatin and thidiazuron. Zeatin induced few shoots and fewer well-developed plants. Thidiazuron induced multiple shoots 4 months after culture began, but many were small and did not elongate further. Phytagar tissue culture grade proved superior to other agars tested, increasing bud induction frequency from 0-33% to 80–93% and eliminating explant hyperhydricity.     

Improved plant regeneration in Capsicum annuum L. from nodal segments

Multiple shoots were induced by culturing nodal explants excised from 1-month-old aseptic seedlings of red pepper (Capsicum annuum L. cv. Pusa Jwala) on Murashige and Skoog (MS) medium supplemented with (0.1–10 μM) thidiazuron (TDZ). The rate of multiple shoot induction per explant was maximum (14.4 ± 0.06) on MS medium supplemented with 1.0 μM TDZ. Regenerated shoots were elongated well on growth regulator free MS medium. Adventitious roots were induced two weeks after transfer of elongated shoots to MS medium supplemented with auxins (IAA, IBA or NAA) in different concentrations. Optimum root formation frequency was obtained in medium containing 1.0 μM IBA. Ex-vitro rooting was also achieved by pulse treatment with 300 μM IBA for 10 min. Rooted shoots were transplanted in plastic pots containing garden soil (with 90 % survival rate), where they grew well and attained maturity. Regenerated plants were phenotypically and cytologically normal.     

Hyperhydricity in pepper plants regenerated in vitro: involvement of BiP (Binding Protein) and ultrastructural aspects

 Hyperhydricity in regenerated pepper plants was monitored by the induction of the ER-luminal resident protein, as observed by immunoblotting. Immunoblotting of total protein using an anti-soybean BiP serum indicated that the induction and accumulation of an 80-kDa protein was related to BiP (Binding protein), a 78-kDa ER-resident molecular chaperone. The anti-BiP serum cross-reacted with an 80-kDa protein which was significantly induced by hyperhydricity. Based on similar molecular weight and immunological reactivity we concluded that the 80-kDa protein induced in hyperhydric plants is a BiP homologue. The ultrastructural organisation of leaves in non-hyperhydric and hyperhydric pepper (Capsicum annuum L.) plants was investigated with the aim of identifying the subcellular changes associated with this phenomenon. In non-hyperhydric leaves the chloroplasts of the palisade cells had normally developed thylakoids and grana and a low accumulation or absence of starch grains and plastoglobules. In the hyperhydric plants, however, the chloroplasts exhibited thylakoid disorganisation, low grana number, an accumulation of large starch grains and a low accumulation or absence of plastoglobules. Although the structure of mitochondria and peroxisomes did not change in hyperhydric plants, the number of peroxisomes did increase. Received: 23 July 1998 / Revision received: 26 February 1999 / Accepted: 17 March 1999     

辣椒果实性状的遗传分析

以6个辣椒品种并按(1/2)n(n-1)双列杂交法配制的15个杂交组合为材料,根据Hayman分析法估算了辣椒果实5个性状的遗传模型和遗传参数。结果显示,果长、果肉厚和结果数的遗传符合“加性-显性”模型,果宽和单果质量不符合“加性-显性”模型,还存在显著上位性效应。遗传参数估算表明,5个果实性状遗传是以加性效应为主,但不同果实性状显性效应有较大的差异,果肉厚的显性效应最大,其次是果长和结果数,果宽和单果质量最小。     

Tapetum Dimorphism and Its Histochemical Study in Sweet Pepper (Capsicum annuum L. Var. grossum)

In sweet pepper, the portion of tapetum toward the interior of the anther comprising large cells is derived from cells of connective of anther whereas the remaining tapetum on the outside of the anther comprising comparatively small cells is derived from the parietal layer. Those ceils of the former prosessing large vacuoles and large nuclei are stained weaker than the cells of the latter by methyl green-pyronin and mercuric-bromophenol blue staining. Large spherical grains which contain acid phosphatase appear in the vacuoles in both kinds of tapetum at sporogenesis stage. During meiosis of pollen mother cells, DNA, RNA and protein sysntheses increase in tapetum. The tapetum derived from connective accumulates more DNA than that derived from parietal layer. The activity of acid phosphatase becomes higher in tapetum when it degenerates. The degeneration of two kinds of tapetum is similar. There are no starch grains in tapetum through its whole course of development.     

甜椒胞质雄性不育雄配子发育的解剖学和超微结构研究

运用石蜡切片和电子显微镜超薄切片方法观察了甜椒(Capsicum annuum L．)细胞质雄性不育系8A和保持系8B雄配子发育过程。结果表明：不育系和保持系都能正常进行减数分裂,绒毡层细胞无明显差异,形成了正常的四分孢子。在四分体单核居中期后,不育系的绒毡层细胞异常膨大并伸进药室,挤压花粉粒,同时绒毡层细胞提前降解,不育系单核晚期花粉粒开始崩出内含物。致使不育系的雄配子在双核花粉粒形成之前就完全裂解,不能发育成正常的花粉粒。此外,超薄切片还观察到不育系花粉粒在单核早期绒毡层细胞线粒体空泡化,这种变化表明雄性不育的遗传缺陷包括在花药发育早期发生的线粒体结构变化。     

不同辣椒材料离体再生及其影响因素的研究

以8个辣椒(Capsicum annuumL.)纯系为材料,对不同材料、外植体种类和激素组合等因素对辣椒植株离体再生的影响进行了研究。结果表明,较高的6-BA/IAA值有利于辣椒外植体的分化再生,而6-BA/IAA值较低则适合于再生芽的伸长;不同辣椒材料的再生能力差别较大;辣椒带柄子叶再生能力比下胚轴强,是较好的外植体材料;12~16 d苗龄的外植体分化频率较高;在供试的8个辣椒材料中‘2096’、‘B4’和‘B7’的再生能力较强。高频率的不定芽分化培养基为MB(MS无机成分 B5有机成分) 0.8 mg/L IAA 5.0 mg/L 6-BA 4.0 mg/L Ag-NO3;不定芽伸长的培养基为MB 0.8 mg/L IAA 2.0 mg/L 6-BA 2.0 mg/L GA3 4.0 mg/L AgNO3;高效生根诱导培养基为MB 0.2 mg/L IAA 0.1 mg/L NAA。     

Genetic structure and differentiation of wild and domesticated populations of Capsicum annuum (Solanaceae) from Mexico

 Genetic variation and structure of ten wild, three domesticated and one wild-cultivated populations of pepper (Capsicum annuum) from northwestern Mexico were studied in order to find out if the domestication process has reduced the genetic variation of the modern cultivars of this species. The analysis was based on 12 polymorphic loci from nine isozymes. Wild populations were sampled in different habitats along a latitudinal gradient of ca. 500 km. All populations had high genetic variation (i.e. wild: A = 2.72, P = 90.8%, He = 0.445; wild-cultivated: A = 2.50, P = 92.3%, He = 0.461; domesticated: A = 2.60, P = 84.6%, He = 0.408), indicating little genetic erosion in modern cultivars of pepper. Genetic diversity estimated by Nei's method showed that most genetic variation is found within, rather than among populations. However, genetic differentiation is greater among cultivated (G _ST=0.167) than among wild (G _ST=0.056) populations. Wild populations had an average genetic identity (I) of 0.952, indicating little differentiation and high gene flow (Nm=4.21) among these populations. Average genetic identity between wild and domesticated populations was of I=0.818, revealing that the domestication process has modified the genetic composition of commercial varieties of pepper. Changes in genetic composition among commercial varieties seem to have occurred in different directions, as indicated by the average value of I = 0.817 among these populations. The high level of diversity found in wild populations of C. annuum suggests that the wild relatives of cultivated peppers are a valuable genetic resource which must be conserved. Received May 5, 1999 Accepted October 30, 2000