A proposal for the metrological characterization of circular features with digital optical machines

This paper aims to analyze the different adjustment methods commonly used to characterize indirect metrology circular features: least square circle, minimum zone circle, maximum inscribed circle and minimum circumscribed circle. The analysis was performed from images obtained by digital optical machines. The calculation algorithms, self-developed, have been implemented in Matlab® and take into consideration as study variables: the amplitude of angular sector of the circular feature, its nominal radio and the magnification used by the optical machine. Under different conditions, it was determined the radius and circularity error of different circular standards. The comparison of the results, obtained by the different methods of adjustments used, with certified values for the standards, has allowed us to determine the accuracy of each method and its scope.

Electrodynamic tether at Jupiter 2. Tour missions after capture

Three separate scenarios of an electrodynamic tether mission at Jupiter following capture of a spacecraft (SC) into an equatorial, highly elliptical orbit around the planet, with perijove at about 1.5 times the Jovian radius, are discussed. Repeated application of Lorentz drag on the spinning tether, at the perijove vicinity, can progressively lower the apojove. One mission involves the tethered-SC rapidly and frequently visiting Galilean moons; elliptical orbits with apojove down at the Ganymede, Europa, and Io orbits are in 2:5, 4:9, and 1:2 resonances with the respective moons. About 20 slow flybys of Io would take place before the accumulated radiation dose exceeds 3 Mrad (Si) at 10 mm Al shield thickness, with a total duration of 5 months after capture (4 months for lowering the apojove to Io and one month for the flybys). The respective number of flybys for Ganymede would be 10 with a total duration of about 9 months. An alternative mission would have the SC acquire a low circular orbit around Jupiter, below the radiation belts, and manoeuvre to get an optimal altitude, with no major radiation effects, in less than 5 months after capture. In a third mission, repeated thrusting at the apojove vicinity, once down at the Io torus, would raise the perijove itself to the torus to acquire a low circular orbit around Io in about 4 months, for a total of 8 months after capture; this corresponds, however, to over 100 apojove passes with an accumulated dose, of about 8.5 Mrad (Si), that poses a critical issue.

Surface impedance for scattered field on a dielectric-coated circular cylinder

In the scattering analysis of a circular cylindrical structure, the impedance boundary condition (IBC) can approximate and simplify the perfect electric conductor (PEC) boundary condition. The circular cylinder problem can be solved with modal methods but they require a large number of terms when the cylinder radius is large in terms of the wave length. The uniform theory of diffraction (UTD) [1] is commonly used to overcome this issue. The two-dimensional problem of scattering on a circular cylinder covered by a dielectric layer has been analyzed by [2]–[5], but their solutions either do not consider oblique incidence, fail on the transition region or use a constant surface impedance.

Surface impedance for electromagnetic fields over a dielectric-coated circular cylinder

For small or medium size conformal array antennas in terms of the wave length, modal solutions in spectral domain for mutual coupling analysis are convenient for canonical shapes such as circular cylinder [1] or sphere [2], but as the antenna dimensions increase a large number of terms are necessary. For large structures the uniform theory of diffraction (UTD) is commonly used to solve this problem for canonical and arbitrarily convex shaped perfect electric conductor (PEC) surfaces [3]. A UTD solution for mutual coupling on an impedance cylinder has been introduced in [4], [5] but using a constant surface impedance.

Influence of a liquid on the natural frequencies of almost circular plates

In this work, the influence of the surrounding fluid on the dynamic characteristics of almost circular plates is investigated. First the natural frequencies and normal modes for the plates in vacuum are calculated by a perturbation procedure. The method is applied for the case of elliptical plates with a low value of eccentricity. The results are compared with other available methods for this type of plates with good agreement. Next, the effect of the fluid is considered. The normal modes of the plate in vacuum are used as a base to express the vibration mode of the coupled plate-fluid system. By applying the Hankel transformation the nondimensional added virtual mass 2 increment (NAVMI) are calculated for elliptical plates. Results of the NAVMI factors and the effect of the fluid on the natural frequencies are given and it is shown that when the eccentricity of the plate is reduced to zero (circular plate) the known results of the natural frequencies for circular plates surrounded by liquid are recovered.

Considering cycling for commuting : the role of mode familiarity : an exploration on the (circular) relation between cycling behaviours and attitudes toward cycling in Vitoria-Gasteiz, Spain

¿La gente utiliza la bicicleta porque les gusta? ¿O es el propio hecho de usarla la razón por la que les gusta hacerlo? ¿O es una combinación de las dos? Este tipo de preguntas reflejan un problema que se puede llamar ‘el círculo de la consideración de la bicicleta’: para poder considerar el uso de la bicicleta en el conjunto de posibles opciones a escoger, un individuo tiene que tener creencias positivas sobre ella, sobre todo en el caso de ‘contextos de bajo uso’. Pero parece poco probable que se formen creencias positivas cuando hay bajos niveles de familiaridad al modo, es decir, con un bajo conocimiento de sus características, su funcionamiento y del imaginario asociado; al mismo tiempo, la familiaridad irá alcanzando niveles más altos conforme aumente el tiempo y la intensidad con la que se utilice la bicicleta a lo largo de la vida de los individuos. El problema parece un circulo recursivo huevo-gallina, ya que es difícil que alguien considere el usar la bicicleta en lugares donde su uso es una práctica poco extendida. En estos lugares, y dentro del conglomerado actual de tecnologías, infraestructuras, reglas, prácticas de los usuarios y preferencias culturales que se han desarrollado alrededor del automóvil (el actual "sistema socio-técnico de la movilidad urbana", Urry 2004; Geels 2005, 2012) usar la bicicleta es considerado por la mayoría como algo difícil, inseguro, y anormal. Como consecuencia, los procesos de aumento de familiaridad con la bicicleta permanecen inactivos. La tesis asume la familiaridad como una fuente de información e influencia sobre las creencias positivas sobre la bicicleta. En ‘contextos de bajo uso’, sin familiaridad al uso de la bicicleta, estas creencias sólo pueden surgir de ciertos rasgos personales (afecto, valores, identidades, voluntad, etc.). Tal como han evidenciado investigaciones recientes, en estos contextos la posibilidad de considerar el uso de la bicicleta (y su eventual adopción), se circunscribe principalmente a los ‘entusiastas’, a los que están dispuestos a “ir contra corriente” (Horton & Parkin 2012), limitando el alcance de las políticas de promoción. La investigación llevada a cabo en esta tesis ofrece un nuevo enfoque al problema del ‘círculo de la consideración de la bicicleta’. Para ello, plantea un modelo en el que se introduce a la familiaridad como un constructo que media entre el comportamiento final –qué modo de transporte elige el individuo– y el conjunto de constructos psicosociales que preceden la elección modal (creencias y actitudes). La familiaridad al uso de la bicicleta se concibe como una medida de la intensidad relativa del uso de una bicicleta, real y percibida (basándose en Diana & Mokhtarian 2009) que puede formarse de manera distinta según sus fines (utilitarios o no utilitarios). El constructo familiaridad con el modo bicicleta está relacionado con la cantidad de tiempo, la intensidad y la regularidad con la que un individuo ha hecho uso de la bicicleta a lo largo de su vida. La familiaridad se concibe así como una condición que permite definir adecuadamente el contexto en el que se toman las decisiones modales de los individuos, en línea con investigaciones que postulan patrones de causalidad alternativos entre los procesos cognitivos de elección y los comportamientos modales (Tardif 1977; Dobson et al. 1978; Golob et al. 1979; Golob 2001; Schwanen et al. 2012; Diana et al. 2009; Vij & Walker 2014). De este modo se plantea que el esquema unidireccional actitudesconductas podría no ser completamente valido en el caso de la consideración de la bicicleta, explorando la hipótesis que sean las propias conductas a influenciar la formación de las actitudes. En esta tesis, el constructo de familiaridad se articula teórica y metodológicamente, y se emplea un instrumento de diseño transversal para contrastarlo. Los resultados de una encuesta telefónica a una muestra representativa de 736 personas en la ciudad española de Vitoria-Gasteiz proveen evidencias que sugieren –aunque de forma preliminar– que la familiaridad juega un papel de mediadora en la relación entre la utilización de la bicicleta y la formación de las creencias y actitudes hacia el su uso. La tesis emplea mediciones para cada individuo con respecto tanto a su consideración como a su familiaridad al uso de la bicicleta. Éstas mediciones se definen haciendo uso del análisis factorial exploratorio (AFE). Por un lado, el AFE arroja una estructura del constructo ‘consideración’ formada por cuatro factores, tres de ellos asociados con elementos positivos y uno con elementos negativos: (1) de cómo el uso de la bicicleta se considera verde e inteligente (G&S); (2) sobre su carácter agradable y adecuado (P&S); (3) sobre su eficacia como modo de transporte para ir al trabajo (E); y (4) sobre los principales inconvenientes de su uso, es decir, las dificultades implícitas (sudoración y estar expuestos a las inclemencias del tiempo) y la sensación de inseguridad que genera (sentirse en riesgo de accidentes y estresarse por el tráfico) (D&T). Por otro lado, la familiaridad al uso de la bicicleta se mide en dos distintas variables ordinales (según se base en el uso utilitario o no utilitario). Como resultado, se puede hablar de que cada individuo se encuentra en una de las siguientes cuatro etapas en orden creciente hacia una familiaridad completa al modo: no familiarizados; apenas familiarizados; moderadamente familiarizados; totalmente familiarizados. El análisis de los datos de los cuatro grupos de sujetos de la muestra, –definidos de acuerdo con cada una de las cuatro etapas de familiaridad definidas– ha evidenciado la existencia de diferencias intergrupo estadísticamente significativas, especialmente para la medida relacionada con el uso utilitario. Asimismo, las personas en los niveles inferiores de familiaridad tienen una consideración menor de los aspectos positivos de la bicicleta y por el contrario presentan preocupaciones mayores hacia las características negativas respecto a aquellas personas que están más familiarizados en el uso utilitario. El uso, aunque esporádico, de una bicicleta para fines utilitarios (ir de compras, hacer recados, etc.), a diferencia de no usarla en absoluto, aparece asociado a unas puntuaciones significativamente más altas en los tres factores positivos (G&S, E, P&S), mientras que parece estar asociado a puntuaciones significativamente más bajas en el factor relacionado con las características negativas (D&U). Aparecen resultados similares cuando se compara un uso moderado, con uno esporádico, sobre todo con respecto a la consideración de las características negativas. Los resultados de esta tesis están en línea con la literatura anterior que se ha basado en variables similares (por ejemplo, de Geus et al. 2008; Stinson & Bhat 2003, 2004; Hunt & Abraham 2006; y van Bekkum et al. 2011a, entre otros), pero en este estudio las diferencias se observan en un contexto de bajo uso y se derivan de un análisis de toda la población de personas que se desplazan a su lugar de trabajo o estudio, lo cual eleva la fiabilidad de los resultados. La posibilidad de que unos niveles más altos de uso de la bicicleta para fines utilitarios puedan llevar a niveles más positivos de su consideración abre el camino a implicaciones teóricas y de políticas que se discuten en la tesis. Con estos resultados se argumenta que el enfoque convencional basado en el cambio de actitudes puede no ser el único y prioritario para lograr cambios a la hora de fomentar el uso de la bicicleta. Los resultados apuntan al potencial de otros esquemas de causalidad, basados en patrones de influencia más descentrados y distribuidos, y que adopten una mirada más positiva hacia los hábitos de transporte, conceptualizándolos como “inteligencia encarnada y pre-reflexiva” (Schwanen et al. 2012). Tales esquemas conducen a un enfoque más práctico para la promoción del uso de la bicicleta, con estrategias que podrían basarse en acciones de ‘degustación’ de su uso o de mayor ‘exposición’ a su uso. Is the fact that people like cycling the reason for them to cycle? Or is the fact that they do cycle the reason for them to like cycling? Or is a combination of the two? This kind of questions reflect a problem that can be called ‘the cycle of cycling consideration’: in order to consider cycling in the set of possible options to be chosen, an individual needs to have positive beliefs about it, especially in the case of ‘low-cycling contexts’. However, positive beliefs seem unlikely to be formed with low levels of mode familiarity, say, with a low acquaintance with mode features, functioning and images; at the same time, higher levels of familiarity are likely to be reached if cycling is practised over relative threshold levels of intensities and extensively across individual life courses. The problem looks like a chicken-egg recursive cycle, since the latter condition is hardly met in places where cycling is little practised. In fact, inside the current conglomerate of technologies, infrastructures, regulations, user practices, cultural preferences that have grown around the automobile (the current “socio-technical system of urban mobility”, Urry 2004; Geels 2005, 2012) cycling is commonly considered as difficult, unsafe, and abnormal. Consequently, the processes of familiarity forming remain disabled, and, as a result, beliefs cannot rely on mode familiarity as a source of information and influence. Without cycling familiarity, origins of positive beliefs are supposed to rely only on personal traits (affect, values, identities, willingness, etc.), which, in low-cycling contexts, confine the possibility of cycling consideration (and eventual adoption) mainly to ‘cycling enthusiasts’ who are willing to “go against the grain” (Horton & Parkin 2012), as it results from previous research. New research conducted by author provides theoretical insights for a different approach of the cycling consideration problem in which the presence of the new construct of cycling familiarity is hypothesised in the relationship between mode choice behaviour and the set of psychosocial constructs that are supposed to precede it (beliefs and attitudes). Cycling familiarity is conceived as a measure of the real and the perceived relative intensity of use of a bicycle (building upon Diana & Mokhtarian 2009) which may be differently formed for utilitarian or non-utilitarian purposes. The construct is assumed to be related to the amount of time, the intensity and the regularity an individual spends in using a bicycle for the two distinct categories of purposes, gaining in this way a certain level of acquaintance with the mode. Familiarity with a mode of transport is conceived as an enabling condition to properly define the decision-making context in which individual travel mode choices are taken, in line with rather disperse research efforts postulating inverse relationships between mode behaviours and mode choices (Tardiff 1977; Dobson et al. 1978; Golob et al. 1979; Golob 2001; Schwanen et al. 2012; Diana et al. 2009; Vij & Walker 2014). The new construct is built theoretically and methodologically, and a cross-sectional design instrument is employed. Results from a telephone survey in a representative sample of 736 commuters in the Spanish city of Vitoria-Gasteiz, provide suggestive –although preliminary– evidence on the role of mode familiarity as a mediator in the relationship between cycling use and the formation of beliefs and attitudes toward cycling. Measures of both cycling consideration and cycling familiarity are defined making use of exploratory factor analysis. On the one hand, four distinct cycling consideration measures are created, based on attitude expressions on four underlying factors relating to the cycling commuting behaviour: on how cycling commuting is considered green and smart (G&S); on its pleasant and suited character (P&S); on its efficiency as a mode of transport for commuting (E); and on the main drawbacks of its use, namely the difficulties implied (sweating and being exposed to adverse weather conditions) and the sense of unsafety it generates (feeling at risk of accidents and getting stressed by traffic) (D&U). On the other hand, dimensions of cycling familiarity are measured on two distinct ordinal variables (whether based on the utilitarian or non-utilitarian use) comprising four stages to a complete mode familiarity: not familiar; barely familiar; moderately familiar; fully familiar. For each of the four stages of cycling familiarity defined, statistical significant differences are found, especially for the measure related to the utilitarian use. Consistently, people at the lower levels of cycling familiarity have a lower consideration of the positive aspects of cycling and conversely they exhibit higher concerns towards the negative characteristics than those individuals that are more familiar in utilitarian cycling. Using a bicycle occasionally for practical purposes, as opposed to not using it at all, seems associated to significant higher scores in the three positive factors (G&S, E, P&S) while it appears to be associated to significant lower scores in the factor relating with the negative characteristics of cycling commuting (D&U). A same pattern also occurs with a moderate use, as opposed to an occasional one, especially for the consideration of the negative characteristics. The results are in line with previous literature based on similar variables (e.g. de Geus et al. 2008; Stinson & Bhat 2003, 2004; Hunt & Abraham 2006; and van Bekkum et al. 2011a, among others), but in this study the differences are observed in a low-cycling context and derive from an analysis of the entire population of commuters, which rises the reliability of results.

Bando cheneral, carta circular, ò manifest à tot el orbe sobre les grans festes que la ... ciutat de Valencia vá à fer à honor ... del beato Juan de Ribera, arzobispo y virey de ella en los añs mil sincsents xixanta y huit : [Texto impreso] y asó será en ... mil setsents noranta y set ... y Pio Papa Sexto, que el beatificá el ... añ mil setsents noranta y sis

Hay un ejemplar encuadernado con: Individual noticia de todos los altares, arcos pinturas, adornos y lo mas exquisito y notable que havia en la carrera de la procession, y de las iluminaciones en general ... : (XVIII/1705).

Structural basis of an embryonically lethal single Ala → Thr mutation in the vnd/NK-2 homeodomain

The structural and DNA binding behavior is described for an analog of the vnd/NK-2 homeodomain, which contains a single amino acid residue alanine to threonine replacement in position 35 of the homeodomain. Multidimensional nuclear magnetic resonance, circular dichroism, and electrophoretic gel retardation assays were carried out on recombinant 80-aa residue proteins that encompass the wild-type and mutant homeodomains. The mutant A35T vnd/NK-2 homeodomain is unable to adopt a folded conformation free in solution at temperatures down to −5°C in contrast to the behavior of the corresponding wild-type vnd/NK-2 homeodomain, which is folded into a functional three-dimensional structure below 25°C. The A35T vnd/NK-2 binds specifically to the vnd/NK-2 target DNA sequence, but with an affinity that is 50-fold lower than that of the wild-type homeodomain. Although the three-dimensional structure of the mutant A35T vnd/NK-2 in the DNA bound state shows characteristic helix–turn–helix behavior similar to that of the wild-type homeodomain, a notable structural deviation in the mutant A35T analog is observed for the amide proton of leucine-40. The wild-type homeodomain forms an unusual i,i-5 hydrogen bond with the backbone amide oxygen of residue 35. In the A35T mutant this amide proton resonance is shifted upfield by 1.27 ppm relative to the resonance frequency for the wild-type analog, thereby indicating a significant alteration of this i,i-5 hydrogen bond.

The Vibrio cholerae genome contains two unique circular chromosomes

Vibrio cholerae, the etiologic agent of the diarrheal disease cholera, is a Gram-negative bacterium that belongs to the γ subdivision of the family Proteobacteriaceae. The physical map of the genome has been reported, and the genome has been described as a single 3.2-Mb chromosome [Majumder, R., et al. (1996) J. Bacteriol. 178, 1105–1112]. By using pulsed-field gel electrophoresis of genomic DNA immobilized in agarose plugs and digested with the restriction enzymes I-CeuI, SfiI, and NotI, we have also constructed the physical map of V. cholerae. Our analysis estimates the size of the genome at 4.0 Mb, 25% larger than the physical map reported by others. Our most notable finding is, however, that the V. cholerae chromosome appears to be not the single chromosome reported but two unique and separate circular megareplicons.

BAliBASE (Benchmark Alignment dataBASE): enhancements for repeats, transmembrane sequences and circular permutations

BAliBASE is specifically designed to serve as an evaluation resource to address all the problems encountered when aligning complete sequences. The database contains high quality, manually constructed multiple sequence alignments together with detailed annotations. The alignments are all based on three-dimensional structural superpositions, with the exception of the transmembrane sequences. The first release provided sets of reference alignments dealing with the problems of high variability, unequal repartition and large N/C-terminal extensions and internal insertions. Here we describe version 2.0 of the database, which incorporates three new reference sets of alignments containing structural repeats, trans­membrane sequences and circular permutations to evaluate the accuracy of detection/prediction and alignment of these complex sequences. BAliBASE can be viewed at the web site http://www-igbmc.u-strasbg.fr/BioInfo/BAliBASE2/index.html or can be downloaded from ftp://ftp-igbmc.u-strasbg.fr/pub/BAliBASE2/.

Site-specifically located 8-amino-2′-deoxyguanosine: thermodynamic stability and mutagenic properties in Escherichia coli

2-Nitropropane (2-NP), an important industrial solvent and a component of cigarette smoke, is mutagenic in bacteria and carcinogenic in rats. 8-Amino-2′-deoxyguanosine (8-amino-dG) is one of the types of DNA damage found in liver, the target organ in 2-NP-treated rats. To investigate the thermodynamic properties of 8-amino-dG opposite each of the four DNA bases, we have synthesized an 11mer, d(CCATCG*CTACC), in which G* represents the modified base. By annealing a complementary DNA strand to this modified 11mer, four sets of duplexes were generated each containing one of the four DNA bases opposite the lesion. Circular dichroism studies indicated that 8-amino-dG did not alter the global helical properties of natural right-handed B-DNA. The thermal stability of each duplex was examined by UV melting measurements and compared with its unmodified counterpart. For the unmodified 11mer, the relative stability of the complementary DNA bases opposite G was in the order C > T > G > A, as determined from their –ΔG° values. The free energy change of each modified duplex was lower than its unmodified counterpart, except for the G*:G pair that exhibited a higher melting transition and a larger –ΔG° than the G:G duplex. Nevertheless, the stability of the modified 11mer duplex also followed the order C > T > G > A when placed opposite 8-amino-dG. To explore if 8-amino-dG opposite another 8-amino-dG has any advantage in base pairing, a G*:G* duplex was evaluated, which showed that the stability of this duplex was similar to the G*:G duplex. Mutagenesis of 8-amino-dG in this sequence context was studied in Escherichia coli, which showed that the lesion is weakly mutagenic (mutation frequency ∼10–3) but still can induce a variety of targeted and semi-targeted mutations.

Random circular permutation of genes and expressed polypeptide chains: application of the method to the catalytic chains of aspartate transcarbamoylase.

Recent studies on proteins whose N and C termini are in close proximity have demonstrated that folding of polypeptide chains and assembly of oligomers can be accomplished with circularly permuted chains. As yet no methodical study has been conducted to determine how extensively new termini can be introduced and where such termini cannot be tolerated. We have devised a procedure to generate random circular permutations of the catalytic chains of Escherichia coli aspartate transcarbamoylase (ATCase; EC 2.1.3.2) and to select clones that produce active or stable holoenzyme containing permuted chains. A tandem gene construct was made, based on the desired linkage between amino acid residues in the C- and N-terminal regions of the polypeptide chain, and this DNA was treated with a suitable restriction enzyme to yield a fragment containing the rearranged coding sequence for the chain. Circularization achieved with DNA ligase, followed by linearization at random with DNase I, and incorporation of the linearized, repaired, blunt-ended, rearranged genes into a suitable plasmid permitted the expression of randomly permuted polypeptide chains. The plasmid with appropriate stop codons also contained pyrI, the gene encoding the regulatory chain of ATCase. Colonies expressing detectable amounts of ATCase-like molecules containing permuted catalytic chains were identified by an immunoblot technique or by their ability to grow in the absence of pyrimidines in the growth medium. Sequencing of positive clones revealed a variety of novel circular permutations. Some had N and C termini within helices of the wild-type enzyme as well as deletions and insertions. Permutations were concentrated in the C-terminal domain and only few were detected in the N-terminal domain. The technique, which is adaptable generally to proteins whose N and C termini are near each other, can be of value in relating in vivo folding of nascent, growing polypeptide chains to in vitro renaturation of complete chains and determining the role of protein sequence in folding kinetics.

Circular RNAs from transcripts of the rat cytochrome P450 2C24 gene: correlation with exon skipping.

The cytochrome P450 2C24 gene is characterized by the capability to generate, in rat kidney, a transcript containing exons 2 and 4 spliced at correct sites but having the donor site of exon 4 directly joined to the acceptor site of exon 2 (exon scrambling). By reverse transcriptase-PCR analysis, it is now shown that the only exons present in the scrambled transcript are exons 2, 3, and 4 and that this molecule lacks a poly(A)+ tail. Furthermore, the use of PCR primers in both orientations of either exon 2 or exon 4 revealed that the orders of the exons in the scrambled transcript are 2-3-4-2 and 4-2-3-4, respectively. These results, combined with the observation that P450 2C24 is a single-copy gene, with no duplication of the exon 2 to exon 4 segment, suggest that the scrambled transcript has properties consistent with that of a circular molecule. In line with this is the observation of an increased resistance of the transcript to phosphodiesterase I, a 3'-exonuclease. Moreover, an alternatively processed cytochrome P450 2C24 mRNA, lacking the three scrambled exons and having exon 1 directly joined to exon 5, has been identified in kidney and liver, tissues that express the scrambled transcript. This complete identity of the exons that are absent in the alternatively processed mRNA but present in the scrambled transcript is interpreted as indicative of the possibility that exon scrambling and exon skipping might be interrelated phenomena. It is therefore proposed that alternative pre-mRNA processing has the potential to generate not only mRNAs lacking one or more exons but also circular RNA molecules.

Irreversible inactivation of interleukin 2 in a pump-based delivery environment.

The physical stability of pharmaceutical proteins in delivery environments is a critical determinant of biological potency and treatment efficacy, and yet it is often taken for granted. We studied both the bioactivity and physical stability of interleukin 2 upon delivery via continuous infusion. We found that the biological activity of the delivered protein was dramatically reduced by approximately 90% after a 24-hr infusion program. Only a portion of these losses could be attributed to direct protein deposition on the delivery surfaces. Analysis of delivered protein by size exclusion chromatography gave no indication of insulin-like, surface-induced aggregation phenomena. Examination of the secondary and tertiary structure of both adsorbed and delivered protein via Fourier-transform infrared spectroscopy, circular dichroism, and fluorescence spectroscopy indicated that transient surface association of interleukin 2 with the catheter tubing resulted in profound, irreversible structural changes that were responsible for the majority of the biological activity losses.

Least activation path for protein folding: investigation of staphylococcal nuclease folding by stopped-flow circular dichroism.

Is the pathway of protein folding determined by the relative stability of folding intermediates, or by the relative height of the activation barriers leading to these intermediates? This is a fundamental question for resolving the Levinthal paradox, which stated that protein folding by a random search mechanism would require a time too long to be plausible. To answer this question, we have studied the guanidinium chloride (GdmCl)-induced folding/unfolding of staphylococcal nuclease [(SNase, formerly EC 3.1.4.7; now called microbial nuclease or endonuclease, EC 3.1.31.1] by stopped-flow circular dichroism (CD) and differential scanning microcalorimetry (DSC). The data show that while the equilibrium transition is a quasi-two-state process, kinetics in the 2-ms to 500-s time range are triphasic. Data support the sequential mechanism for SNase folding: U3 <--> U2 <--> U1 <--> N0, where U1, U2, and U3 are substates of the unfolded protein and N0 is the native state. Analysis of the relative population of the U1, U2, and U3 species in 2.0 M GdmCl gives delta-G values for the U3 --> U2 reaction of +0.1 kcal/mol and for the U2 --> U1 reaction of -0.49 kcal/mol. The delta-G value for the U1 --> N0 reaction is calculated to be -4.5 kcal/mol from DSC data. The activation energy, enthalpy, and entropy for each kinetic step are also determined. These results allow us to make the following four conclusions. (i) Although the U1, U2, and U3 states are nearly isoenergetic, no random walk occurs among them during the folding. The pathway of folding is unique and sequential. In other words, the relative stability of the folding intermediates does not dictate the folding pathway. Instead, the folding is a descent toward the global free-energy minimum of the native state via the least activation path in the vast energy landscape. Barrier avoidance leads the way, and barrier height limits the rate. Thus, the Levinthal paradox is not applicable to the protein-folding problem. (ii) The main folding reaction (U1 --> N0), in which the peptide chain acquires most of its free energy (via van der Waals' contacts, hydrogen bonding, and electrostatic interactions), is a highly concerted process. These energy-acquiring events take place in a single kinetic phase. (iii) U1 appears to be a compact unfolded species; the rate of conversion of U2 to U1 depends on the viscosity of solution. (iv) All four relaxation times reported here depend on GdmCl concentrations: it is likely that none involve the cis/trans isomerization of prolines. Finally, a mechanism is presented in which formation of sheet-like chain conformations and a hydrophobic condensation event precede the main-chain folding reaction.