Evolutionary tendencies in flowers of Marantaceae with special reference to the style movement mechanism

One of the quickest plant movements ever known is made by the ´explosive´ style in Marantaceae in the service of secondary pollen presentation – herewith showing a striking apomorphy to the sister Cannaceae that might be of high evolutionary consequence. Though known already since the beginning of the 19th century the underlying mechanism of the movement has hitherto not been clarified. The present study reports about the biomechanics of the style-staminode complex and the hydraulic principles of the movement. For the first time it is shown by experiment that in Maranta noctiflora through longitudinal growth of the maturing style in the ´straitjacket´ of the hooded staminode both the hold of the style prior to its release and its tensioning for the movement are brought about. The longer the style grows in relation to the enclosing hooded staminode the more does its capacity for curling up for pollen transfer increase. Hereby I distinguish between the ´basic tension´ that a growing style builds up anyway, even when the hooded staminode is removed beforehand, and the ´induced tension´ which comes about only under the pressure of a ´too short´ hooded staminode and which enables the movement. The results of these investigations are discussed in view of previous interpretations ranging from possible biomechanical to electrophysiological mechanisms. To understand furthermore by which means the style gives way to the strong bending movement without suffering outwardly visible damage I examined its anatomical structure in several genera for its mechanical and hydraulic properties and for the determination of the entire curvature after release. The actual bending part contains tubulate cells whose walls are extraordinarily porous and large longitudinal intercellular spaces. SEM indicates the starting points of cell-wall loosening in primary walls and lysis of middle lamellae - probably through an intense pectinase activity in the maturing style. Fluorescence pictures of macerated and living style-tissue confirm cell-wall perforations that do apparently connect neighbouring cells, which leads to an extremely permeable parenchyma. The ´water-body´ can be shifted from central to dorsal cell layers to support the bending. The geometrical form of the curvature is determined by the vascular bundles. I conclude that the style in Marantaceae contains no ´antagonistic´ motile tissues as in Mimosa or Dionaea. Instead, through self-maceration it develops to a ´hydraulic tissue´ which carries out an irreversible movement through a sudden reshaping. To ascertain the evolutionary consequence of this apomorphic pollination mechanism the diversity and systematic value of hooded staminodes are examined. For this hooded staminodes of 24 genera are sorted according to a minimalistic selection of shape characters and eight morphological types are abstracted from the resulting groups. These types are mapped onto an already available maximally parsimonious tree comprising five major clades. An amazing correspondence is found between the morphological types and the clades; several sister-relationships are confirmed and in cases of uncertain position possible evolutionary pathways, such as convergence, dispersal or re-migration, are discussed, as well as the great evolutionary tendencies for the entire family in which – at least as regards the shape of hooded staminodes – there is obviously a tendency from complicated to strongly simplified forms. It suggests itself that such simplifying derivations may very likely have taken place as adaptations to pollinating animals about which at present too little is known. The value of morphological characters in relation to modern phylogenetic analysis is discussed and conditions for the selection of morphological characters valuable for a systematic grouping are proposed. Altogether, in view of the evolutionary success of Marantaceae compared with Cannaceae the movement mechanism of the style-staminode complex can safely be considered a key innovation within the order Zingiberales.

Anatomía comparada de la madera de Cupressaceae y su correspondencia con los estudios de filogenia

La familia Cupressaceae incluye un total de 133 especies agrupadas en 30 géneros, 17 de los cuales son monospecíficos. Esta familia se encuentra representada en todos los continentes salvo en la Antártida. Sus especies se distribuyen en distintas regiones climáticas, y en altitudes que varían desde el nivel del mar hasta los 5.000 m. La falta de descripción anatómica de muchos de los géneros y especies de Cupressaceae es notable, así como la contradicción que aparece entre distintas investigaciones sobre las características anatómicas de la madera descritas para cada especie. Este estudio describe la anatomía de la madera de Cupressaceae y analiza las características que podrían representar sinapomorfías de los clados delimitados en los estudios filogenéticos. Siguiendo los métodos tradicionales de preparación y descripción de la madera a nivel microscópico, se ha estudiado la madera de 113 especies de los 30 géneros de Cupressaceae. Para ello se han empleado muestras de madera de origen trazable, procedentes de colecciones de madera de distintas instituciones internacionales. Se ha empleado una robusta filogenia molecular para la reconstrucción de los caracteres ancestrales. La anatomía de la madera de los 30 géneros de Cupressaceae, pone de manifiesto la gran homogeneidad de la familia, caracterizada por la presencia de traqueidas axiales sin engrosamientos helicoidales, parénquima radial con paredes horizontales lisas, punteaduras del campo de cruce de tipo cupresoide y la carencia de canales resiníferos fisiológicos. Además, todos presentan parénquima axial (salvo Neocallitropsis, Thuja y Xanthocyparis), punteaduras radiales areoladas con toro definido (salvo Thuja y Thujopsis), siendo habitual la presencia de punteaduras areoladas en las paredes tangenciales de la madera tardía, y verrugosidades en la cara interna de las traqueidas (salvo Ca. macleayana, Libocedrus, Papuacedrus y Neocallitropsis). Los radios leñosos son homogéneos y están compuestos de parénquima radial (con la presencia de traqueidas radiales en algunas especies de Cupressus, Sequoia, Thujopsis y X. nootkatensis) con paredes finales lisas o lisas y noduladas (exclusivamente noduladas en Cal. macrolepis, C. bakeri y en la mayoría de especies de Juniperus), y el rango de altura de los radios leñosos se encuentra entre 5 y 15 células. Se consideran posibles sinapomorfismos de Cupressaceae la presencia de verrugosidades en la cara interna de las traqueidas, la presencia de traqueidas axiales sin engrosamientos helicoidales, la presencia de parénquima axial, la presencia de radios leñosos homogéneos (compuestos únicamente de parénquima radial), la tipología de las paredes horizontales del parénquima radial, las punteaduras del campo de cruce de tipo cupresoide y la ausencia de canales resiníferos fisiológicos, pero lo que realmente diferencia a este grupo de coníferas es la simultaneidad de todos estos caracteres en sus maderas. Como sinapomorfías específicas por clados se proponen: la ausencia de toro definido y muescas en el borde de las punteaduras en Thuja-Thujopsis, la existencia de extensiones de toro en Diselma-Fitzroya-Widdringtonia; la presencia de engrosamientos callitroides en Callitris-Actinostrobus; la presencia de espacios intercelulares y las muescas en el borde de las punteaduras en el clado formado por el género Juniperus y las especies de Cupressus en la región oriental; la presencia de paredes finales del parénquima radial tanto lisas como noduladas en los clados formados por el género Xanthocyparis y las especies de Cupressus en la región occidental y en Fitzroya-Diselma; y por último, la presencia de punteaduras del campo de cruce de tipo taxodioide en los clados taxodioid y sequoioid. ABSTRACT The Cupressaceae family comprises 133 species grouped into 30 genera, 17 of which are monotypic. The family is represented in all continents except Antarctica. Its species are distributed in various climate zones and at altitudes from sea level to 5,000 m. There is a considerable lack of anatomical descriptions for many genera and species of Cupressaceae and much contradiction between studies about the wood anatomical features described for each species. This study describes the wood anatomy of Cupressaceae and analyses the features that could represent synapomorphies of the clades recovered in phylogenetic studies. Following the traditional methods of preparation and description of wood at microscopic level, a study was made of the wood of 113 species of the 30 Cupressaceae genera. The study samples had traceable origins and came from wood collections held at various international institutions. A robust molecular phylogeny was used for ancestral state reconstruction. The wood anatomy of the 30 genera of the Cupressaceae shows the high homogeneity of the family, which is characterised by the presence of axial tracheids without helical thickenings, smooth horizontal walls of ray parenchyma cells, cupressoid cross-field pits, and the absence of physiological resin canals. In addition, they all have axial parenchyma (except Neocallitropsis, Thuja and Xanthocyparis), a warty layer on the inner wall of the tracheids (except Ca. macleayana, Libocedrus, Papuacedrus and Neocallitropsis) and tracheid pitting in radial walls with a well defined torus (except Thuja and Thujopsis); tracheid pitting in the tangential walls of the latewood is common. Rays are homogeneous and are composed of ray parenchyma (with the presence of ray tracheids in some species of Cupressus, Sequoia, Thujopsis and X. nootkatensis), with smooth end walls or both smooth and nodular end walls (exclusively nodular in Cal. macrolepis, C. bakeri and most Juniperus species), and ray height range is 5 to 15 cells. Possible synapomorphies of Cupressaceae are the presence of a warty layer on the inner layer of the tracheids, axial tracheids without helical thickenings, the presence of axial parenchyma, homogeneous rays (composed exclusively of ray parenchyma), the typology of the horizontal walls of ray parenchyma cells, cupressoid cross-field pits and the absence of physiological resin canals, but what truly differentiates this group of softwoods is the co-occurrence of all these features in their wood. The following are proposed as clade-specific synapomorphies: absence of a well-defined torus and presence of pits with notched borders in Thuja-Thujopsis, torus extensions in Diselma-Fitzroya-Widdringtonia; callitroid thickenings in Callitris-Actinostrobus; intercellular spaces and pits with notched borders in the clade formed by the genus Juniperus and the species of Cupressus in the eastern region; smooth and nodular ray parenchyma end walls in the clades formed by the genus Xanthocyparis and the species of Cupressus in the western region and in Fitzroya-Diselma, and taxodioid cross-field pits in the taxodioid and sequoioid clades.

Water does not flow across the tight junctions of MDCK cell epithelium

Although it has been known for decades that the tight junctions of fluid-transporting epithelia are leaky to ions, it has not been possible to determine directly whether significant transjunctional water movement also occurs. An optical microscopic technique was developed for the direct visualization of the flow velocity profiles within the lateral intercellular spaces of a fluid-absorptive, cultured renal epithelium (MDCK) and used to determine the velocity of the fluid flow across the tight junction. The flow velocity within the lateral intercellular spaces fell to near zero adjacent to the tight junction, showing that significant transjunctional flow did not occur, even when transepithelial fluid movement was augmented by imposition of osmotic gradients.

The Site of Oxygen Limitation in Soybean Nodules1

In legume nodules the [O2] in the infected cells limits respiration and nitrogenase activity, becoming more severe if nodules are exposed to subambient O2 levels. To identify the site of O2 limitation, adenylate pools were measured in soybean (Glycine max) nodules that were frozen in liquid N2 before being ground, lyophilized, sonicated, and separated on density gradients of nonaqueous solvents (heptane/tetrachloroethylene) to yield fractions enriched in bacteroid or plant components. In nodules maintained in air, the adenylate energy charge (AEC = [ATP + 0.5 ADP]/[ATP + ADP + AMP]) was lower in the plant compartment (0.65 ± 0.04) than in the bacteroids (0.76 ± 0.095), but did not change when the nodulated root system was exposed to 10% O2. In contrast, 10% O2 decreased the bacteroid AEC to 0.56 ± 0.06, leading to the conclusion that they are the primary site of O2 limitation in nodules. To account for the low but unchanged AEC in the plant compartment and for the evidence that mitochondria are localized in O2-enriched microenvironments adjacent to intercellular spaces, we propose that steep adenylate gradients may exist between the site of ATP synthesis (and ADP use) in the mitochondria and the extra-mitochondrial sites of ATP use (and ADP production) throughout the large, infected cells.

Benzothiadiazole-Mediated Induced Resistance to Fusarium oxysporum f. sp. radicis-lycopersici in Tomato1

Benzo-(1,2,3)-thiadiazole-7-carbothioic acid S-methyl ester (BTH), a synthetic chemical, was applied as a foliar spray to tomato (Lycopersicon esculentum) plants and evaluated for its potential to confer increased resistance against the soil-borne pathogen Fusarium oxysporum f. sp. radicis-lycopersici (FORL). In nontreated tomato plants all root tissues were massively colonized by FORL hyphae. Pathogen ingress toward the vascular stele was accompanied by severe host cell alterations, including cell wall breakdown. In BTH-treated plants striking differences in the rate and extent of fungal colonization were observed. Pathogen growth was restricted to the epidermis and the outer cortex, and fungal ingress was apparently halted by the formation of callose-enriched wall appositions at sites of fungal penetration. In addition, aggregated deposits, which frequently established close contact with the invading hyphae, accumulated in densely colonized epidermal cells and filled most intercellular spaces. Upon incubation of sections with gold-complexed laccase for localization of phenolic-like compounds, a slight deposition of gold particles was observed over both the host cell walls and the wall appositions. Labeling was also detected over the walls of fungal cells showing signs of obvious alteration ranging from cytoplasm disorganization to protoplasm retraction. We provide evidence that foliar applications of BTH sensitize susceptible tomato plants to react more rapidly and more efficiently to FORL attack through the formation of protective layers at sites of potential fungal entry.

Spermine Is a Salicylate-Independent Endogenous Inducer for Both Tobacco Acidic Pathogenesis-Related Proteins and Resistance against Tobacco Mosaic Virus Infection1

Intercellular spaces are often the first sites invaded by pathogens. In the spaces of tobacco mosaic virus (TMV)-infected and necrotic lesion-forming tobacco (Nicotiana tabacum L.) leaves, we found that an inducer for acidic pathogenesis-related (PR) proteins was accumulated. The induction activity was recovered in gel-filtrated fractions of low molecular mass with a basic nature, into which authentic spermine (Spm) was eluted. We quantified polyamines in the intercellular spaces of the necrotic lesion-forming leaves and found 20-fold higher levels of free Spm than in healthy leaves. Among several polyamines tested, exogenously supplied Spm induced acidic PR-1 gene expression. Immunoblot analysis showed that Spm treatment increased not only acidic PR-1 but also acidic PR-2, PR-3, and PR-5 protein accumulation. Treatment of healthy tobacco leaves with salicylic acid (SA) caused no significant increase in the level of endogenous Spm, and Spm did not increase the level of endogenous SA, suggesting that induction of acidic PR proteins by Spm is independent of SA. The size of TMV-induced local lesions was reduced by Spm treatment. These results indicate that Spm accumulates outside of cells after lesion formation and induces both acidic PR proteins and resistance against TMV via a SA-independent signaling pathway.

Comparison of the Ability of Partially N-Acetylated Chitosans and Chitooligosaccharides to Elicit Resistance Reactions in Wheat Leaves1

Chitin, a linear polysaccharide composed of (1→4)-linked 2-acetamido-2-deoxy-β-d-glucopyranose (GlcNAc) residues, and chitosan, the fully or partially N-acetylated, water-soluble derivative of chitin composed of (1→4)-linked GlcNAc and 2-amino-2-deoxy-β-d-glucopyranose (GlcN), have been proposed as elicitors of defense reactions in higher plants. We tested and compared the ability of purified (1→4)-linked oligomers of GlcNAc (tetramer to decamer) and of GlcN (pentamer and heptamer) and partially N-acetylated chitosans with degrees of acetylation (DA) of 1%, 15%, 35%, 49%, and 60% and average degrees of polymerization between 540 and 1100 to elicit phenylalanine ammonia-lyase (PAL) and peroxidase (POD) activities, lignin deposition, and microscopically and macroscopically visible necroses when injected into the intercellular spaces of healthy, nonwounded wheat (Triticum aestivum L.) leaves. Purified oligomers of (1→4)-linked GlcN were not active as elicitors, whereas purified oligomers of (1→4)-linked GlcNAc with a degree of polymerization ≥ 7 strongly elicited POD activities but not PAL activities. Partially N-acetylated, polymeric chitosans elicited both PAL and POD activities, and maximum elicitation was observed with chitosans of intermediate DAs. All chitosans but not the chitin oligomers induced the deposition of lignin, the appearance of necrotic cells exhibiting yellow autofluorescence under ultraviolet light, and macroscopically visible necroses; those with intermediate DAs were most active. These results suggest that different mechanisms are involved in the elicitation of POD activities by GlcNAc oligomers, and of PAL and POD activities by partially N-acetylated chitosan polymers and that both enzymes have to be activated for lignin biosynthesis and ensuing necrosis to occur.

Avaliação da permeabilidade de fármacos antirretrovirais por meio de modelo ex vivo com emprego de segmentos da mucosa bucal de suínos

A via de administração oral é a forma favorita de administração de fármacos em função das vantagens que apresenta, dentre elas destacam-se: a adesão do paciente, conveniência e praticidade. Em função disto, a maioria dos medicamentos comercializados encontra-se disponível na forma farmacêutica de administração oral, entretanto, o sucesso de um tratamento medicamentoso por esta via requer que a absorção gastrointestinal do fármaco seja suficiente para assegurar a sua disponibilidade no local de ação (VOLPE, 2010). No entanto, a absorção do fármaco no trato gastrointestinal é complexa e pode ser influenciada por vários fatores, os quais têm impacto sobre a dissolução, solubilidade e permeabilidade do fármaco. Com o intuito de aumentar a biodisponibilidade de fármacos, que possuem absorção dificultada pela via oral, a via de administração pela mucosa bucal vem sendo uma alternativa na atualidade farmacêutica. Esta mucosa é um tecido não queratinizado, altamente vascularizado e apresenta poucas enzimas metabolizadoras. Tais características possibilitam boa absorção de fármacos sem que ocorra a metabolização pré-sistêmica, ou efeito de primeira passagem, somando-se ao fato desta apresentar fácil acessibilidade para a administração de fármacos (VRIES, M. E et al., 1991; NIELSEN, H. M &RASSING, M. R, 1999). Nesse sentido, o presente trabalho teve como objetivo avaliar a permeabilidade dos fármacos antirretrovirais (lamivudina e estavudina) por meio de modelo ex vivo em segmentos da mucosa bucal de suínos, com emprego de câmaras de difusão do tipo células de Franz. Para avaliação da permeabilidade bucal dos fármacos antirretrovirais, lamivudina e estavudina, e dos marcadores para transporte transcelular (metoprolol) e paracelular (fluoresceína sódica), empregou-se método ex-vivo, em células de Franz, com segmento de mucosa bucal de suíno ( a 37ºC, meio Ringer- Krebs- HEPES, pH 7,4), e Franz posterior análise das concentrações das substâncias permeadas (fármacos e marcadores) por cromatografia líquida de alta eficiência. Os resultados obtidos, por meio do protocolo desenvolvido, demonstram que o transporte através da via paracelular (marcador fluoresceína) foi mais expressivo que o transporte transcelular (marcador metoprolol), o que provavelmente se deve ao fato dos espaços intercelulares da mucosa bucal serem mais frouxos do que aqueles observados na mucosa intestinal (junções íntimas). Quanto à lamivudina e estavudina, os resultados de permeabilidade indicaram que estes fármacos permearam por mecanismo semelhante ao do metoprolol, isto é, por via transcelular.

The impact of prolonged fasting during aestivation on the structure of the small intestine in the green-striped burrowing frog, Cyclorana alboguttata

The effects of short-term fasting and prolonged fasting during aestivation on the morphology of the proximal small intestine and associated organs were investigated in the green-striped burrowing frog, Cyclorana alboguttata (Anura: Hylidae). Animals were fasted for 1 week while active or for 3-9 months during aestivation. Short-duration fasting (1 week) had little effect on the morphology of the small intestine, whilst prolonged fasting during aestivation induced marked enteropathy including reductions in intestinal mass, length and diameter, longitudinal fold height and tunica muscularis thickness. Enterocyte morphology was also affected markedly by prolonged fasting: enterocyte cross-sectional area and microvillous height were reduced during aestivation, intercellular spaces were visibly reduced and the prevalence of lymphocytes amongst enterocytes was increased. Mitochondria and nuclei were also affected by 9 months of aestivation with major disruptions to mitochondrial cristae and increased clumping of nuclear material and increased infolding of the nuclear envelope. The present study demonstrates that the intestine of an aestivating frog responds to prolonged food deprivation during aestivation by reducing in size, presumably to reduce the energy expenditure of the organ.

Localization and movement of mineral oil in plants by fluorescence and confocal microscopy

Fluorescence and confocal laser scanning microscopy were explored to investigate the movement and localization of mineral oils in citrus. In a laboratory experiment, fluorescence microscopy observation indicated that when a 'narrow' distillation fraction of an nC23 horticultural mineral oil was applied to adaxial and opposing abaxial leaf surfaces of potted orange [Citrus x aurantium L. (Sapindales: Rutaceae)] trees, oil penetrated steadily into treated leaves and, subsequently, moved to untreated petioles of the leaves and adjacent untreated stems. In another experiment, confocal laser scanning microscopy was used to visualize the penetration into, and the subsequent cellular distribution of, an nC24 agricultural mineral oil in C. trifoliata L. seedlings. Oil droplets penetrated or diffused into plants via both stomata and the cuticle of leaves and stems, and then moved within intercellular spaces and into various cells including phloem and xylem. Oil accumulated in droplets in intercellular spaces and within cells near the cell membrane. Oil entered cells without visibly damaging membranes or causing cell death. In a field experiment with mature orange trees, droplets of an nC23 horticultural mineral oil were observed, by fluorescence microscopy, in phloem sieve elements in spring flush growth produced 4-5 months and 16-17 months after the trees were sprayed with oil. These results suggest that movement of mineral oil in plants is both apoplastic via intercellular spaces and symplastic via plasmodesmata. The putative pattern of the translocation of mineral oil in plants and its relevance to oil-induced chronic phytotoxicity are discussed.

Investigation into the ability of Gluconacetobacter sacchari to live as an endophyte in sugarcane

The relatively low numbers and sporadic pattern of incidence of the acetic acid bacterium Gluconacetobacter sacchari with the pink sugarcane mealybug (PSMB) Saccharicoccus sacchari Cockerell (Homoptera: Pseudococcidae) over time and from different sugarcane-growing regions do not indicate that Glac. sacchari is a significant commensal of the PSMB, as has been previously proposed. This study was conducted to investigate the hypothesis that Glac. sacchari is, like its closest relative Glac. diazotrophicus, an endophyte of sugarcane (Saccharum officinarium L.). In this study, both Glac. sacchari and Glac. diazotrophicus were isolated from internal sugarcane tissue, although the detection of both species was sporadic in all sugarcane-growing regions of Queensland tested. To confirm the ability of Glac. sacchari to live endophytically, an experiment was conducted in which the roots of micropropagated sugarcane plantlets were inoculated with Glac. sacchari, and the plantlets were subsequently examined for the presence of the bacterium in the stem cells. Pure cultures of Glac. sacchari were grown from homogenized surface sterilized sugarcane stems inoculated with Glac. sacchari. Electron microscopy was used to provide further conclusive evidence that Glac. sacchari lives as an endophyte in sugarcane. Scanning electron microscopy of (SEM) sugarcane plantlet stems revealed rod-shaped cells of Glac. sacchari within a transverse section of the plantlet stem cells. The numbers of bacterial cells inside the plant cell indicated a successful infection and colonization of the plant tissue. Using transmission electron microscopy, (TEM) bacterial cells were more difficult to find, due to their spatial separation. In our study, bacteria were mostly found singularly, or in groups of up to four cells inside intercellular spaces, although bacterial cells were occasionally found inside other cells.

Salicaceae Endophytes: Growth Promotion Potential in Rice (Oryza sativa L.) and Maize (Zea mays L.) and Bio-Control of Plant Pathogen

Thesis (Ph.D.)--University of Washington, 2016-08

Comparative Study of the Changes in Partial Pressure of Plasma Carbon Dioxide During Carbon Dioxide Insufflation into the Intraperitoneal and Preperitoneal Spaces

Background: We aimed to compare plasma concentrations of carbon dioxide (CO(2)) in dogs that underwent intra- and preperitoneal CO(2) insufflation. Materials and Methods: Thirty dogs were studied. Ten formed a control group, 10 underwent intraperitoneal CO(2) insufflation, and 10 underwent preperitoneal CO(2) insufflation. General anesthesia with controlled ventilation was standardized for all dogs. After stabilizing the anesthesia, blood samples were collected at predetermined times and were sent for immediate gasometric analysis. Analysis of variance was used for comparing variables. Results: The plasma CO(2) concentration in the intraperitoneal insufflation group increased significantly more than in the preperitoneal insufflation group and was significantly greater than in the control group (P < 0.05). The pH values in the intraperitoneal group were lower than in the preperitoneal group (P < 0.05). Conclusion: The data from this study suggest that a greater plasma concentration of CO(2) is achieved by insufflation at constant pressure into the intraperitoneal space than into the preperitoneal space.

Quantum fields with noncommutative target spaces

Quantum field theories (QFT's) on noncommutative spacetimes are currently under intensive study. Usually such theories have world sheet noncommutativity. In the present work, instead, we study QFT's with commutative world sheet and noncommutative target space. Such noncommutativity can be interpreted in terms of twisted statistics and is related to earlier work of Oeckl [R. Oeckl, Commun. Math. Phys. 217, 451 (2001)], and others [A. P. Balachandran, G. Mangano, A. Pinzul, and S. Vaidya, Int. J. Mod. Phys. A 21, 3111 (2006); A. P. Balachandran, A. Pinzul, and B. A. Qureshi, Phys. Lett. B 634,434 (2006); A.P. Balachandran, A. Pinzul, B.A. Qureshi, and S. Vaidya, arXiv:hep-th/0608138; A.P. Balachandran, T. R. Govindarajan, G. Mangano, A. Pinzul, B.A. Qureshi, and S. Vaidya, Phys. Rev. D 75, 045009 (2007); A. Pinzul, Int. J. Mod. Phys. A 20, 6268 (2005); G. Fiore and J. Wess, Phys. Rev. D 75, 105022 (2007); Y. Sasai and N. Sasakura, Prog. Theor. Phys. 118, 785 (2007)]. The twisted spectra of their free Hamiltonians has been found earlier by Carmona et al. [J. M. Carmona, J. L. Cortes, J. Gamboa, and F. Mendez, Phys. Lett. B 565, 222 (2003); J. M. Carmona, J. L. Cortes, J. Gamboa, and F. Mendez, J. High Energy Phys. 03 (2003) 058]. We review their derivation and then compute the partition function of one such typical theory. It leads to a deformed blackbody spectrum, which is analyzed in detail. The difference between the usual and the deformed blackbody spectrum appears in the region of high frequencies. Therefore we expect that the deformed blackbody radiation may potentially be used to compute a Greisen-Zatsepin-Kuzmin cutoff which will depend on the noncommutative parameter theta.

COMPLETE ISOMORPHIC CLASSIFICATIONS OF SOME SPACES OF COMPACT OPERATORS

This paper is a continuation and a complement of our previous work on isomorphic classification of some spaces of compact operators. We improve the main result concerning extensions of the classical isomorphic classification of the Banach spaces of continuous functions on ordinals. As an application, fixing an ordinal a and denoting by X(xi), omega(alpha) <= xi < omega(alpha+1), the Banach space of all X-valued continuous functions defined in the interval of ordinals [0,xi] and equipped with the supremum, we provide complete isomorphic classifications of some Banach spaces K(X(xi),Y(eta)) of compact operators from X(xi) to Y(eta), eta >= omega. It is relatively consistent with ZFC (Zermelo-Fraenkel set theory with the axiom of choice) that these results include the following cases: 1.X* contains no copy of c(0) and has the Mazur property, and Y = c(0)(J) for every set J. 2. X = c(0)(I) and Y = l(q)(J) for any infinite sets I and J and 1 <= q < infinity. 3. X = l(p)(I) and Y = l(q)(J) for any infinite sets I and J and 1 <= q < p < infinity.