Surface characterization and interfacial activity of chitinase chi18-5 against chitosan in langmuir monolayers.

One of the challenges for producing active chitinase formulations relies on the gap between the laboratory tests and the biological scenarios where the enzyme will perform its function. In this work, we have employed different Langmuir monolayer arrays to evaluate the interfacial behavior of a recently purified recombinant chitinase, Chi18-5. We have demonstrated that two conformations exist for the chitinase at pH values close to its pI, showing very distinct structural properties at the air/aqueous interface. Enzyme activity was assessed by implementing different kinetic approaches and using a chitosan-1,2-dipalmitoyl-sn-glycero-3-phosphocholine (DPPC) mixed film as organized substrate model membrane. Combining these strategies, we demonstrated that better catalytic efficiencies can be obtained for Chi18-5 at pH 5. Moreover, the chitinase activity at the air/aqueous interface can be tuned by introducing in situ pH modifications over the surrounding milieu. We also studied the changes in the topography at the mesoscale level using Brewster Angle Microscopy (BAM). We found that Chi18-5 segregated onto the chitosan domains of the membrane, showing differences in homogeneity depending on the pH imposed. Alternatively, pure Chi18-5 was tested for immobilization onto a hydrophilic activated solid support using the Langmuir-Blodgett technique. Atomic Force Microscopy (AFM) analyses showed successfully stabilization and preservation of molecular features attributed to the pH at which the enzyme deposition was performed.

Fluctuating selection and global change: a synthesis and review on disentangling the roles of climate amplitude, predictability and novelty.

A formidable challenge for global change biologists is to predict how natural populations will respond to the emergence of conditions not observed at present, termed novel climates. Popular approaches to predict population vulnerability are based on the expected degree of novelty relative to the amplitude of historical climate fluctuations experienced by a population. Here, we argue that predictions focused on amplitude may be inaccurate because they ignore the predictability of environmental fluctuations in driving patterns of evolution and responses to climate change. To address this disconnect, we review major findings of evolutionary theory demonstrating the conditions under which phenotypic plasticity is likely to evolve in natural populations, and how plasticity decreases population vulnerability to novel environments. We outline key criteria that experimental studies should aim for to effectively test theoretical predictions, while controlling for the degree of climate novelty. We show that such targeted tests of evolutionary theory are rare, with marine systems being overall underrepresented in this venture despite exhibiting unique opportunities to test theory. We conclude that with more robust experimental designs that manipulate both the amplitude and predictability of fluctuations, while controlling for the degree of novelty, we may better predict population vulnerability to climate change.

Spreading of SARS-CoV-2 in West Africa and assessment of risk factors.

Although the African continent is, for the moment, less impacted than the rest of the world, it still faces the risk of a spread of COVID-19. In this study, we have conducted a systematic review of the information available in the literature in order to provide an overview of the epidemiological and clinical features of COVID-19 pandemic in West Africa and of the impact of risk factors such as comorbidities, climatic conditions and demography on the pandemic. Burkina Faso is used as a case study to better describe the situation in West Africa. The epidemiological situation of COVID-19 in West Africa is marked by a continuous increase in the numbers of confirmed cases. This geographic area had on 29 July 2020, 131 049 confirmed cases by polymerase chain reaction, 88 305 recoveries and 2102 deaths. Several factors may influence the SARS-CoV-2 circulation in Africa: (i) comorbidities: diabetes mellitus and high blood pressure could lead to an increase in the number of severe cases of SARS-CoV-2; (ii) climatic factors: the high temperatures could be a factor contributing to slow the spread of the virus and (iii) demography: the West Africa population is very young and this could be a factor limiting the occurrence of severe forms of SARS-CoV-2 infection. Although the spread of the SARS-CoV-2 epidemic in West Africa is relatively slow compared to European countries, vigilance must remain. Difficulties in access to diagnostic tests, lack of hospital equipment, but also the large number of people working in the informal sector (such as trading, businesses, transport and restoration) makes it difficult to apply preventive measures, namely physical distancing and containment.

Función ventricular derecha en residentes nativos a gran altura / Right ventricular function in native residents at high altitude

Los adaptados genéticamente a la altura son los tibetanos, sherpas y etíopes; los aymaras y quechuas están aclimatados (Bolivia, Perú y norte de Chile). En Bolivia el mal crónico de montaña afecta 10% de la población masculina. El objetivo fue determinar la función ventricular derecha en residentes sanos y con mal crónico de montaña mediante ecocardiografía transtoráxica. Se utilizaron participantes sanos y con mal crónico de montaña admitidos por el IBBA, desde el año 2012 al 2013. Las variables tomadas son: demográficas, espirometria forzada, gasometría arterial en reposo e hiperoxia, ECG y ECCTT. Los controles (n 40), la edad promedio (44,13±9,69 años), predominio masculino y sobrepeso (IMC 26,27±6,68kg /m2), procedentes de La Paz 3.600 msnm (54%), Potosí 4.000 msnm (22%), El Alto 4.100 msnm (15%) y Oruro 3.800 msnm (9%), el promedio de Hematocrito 51,34±2,91%, hemoglobina 17,15±0,89gr/ dl, Espirometria forzada y Gasometría arterial en reposo e hiperoxia normales, la ECCTT muestra hipertensión pulmonar leve (35,85±3,64mmHg), aumento de grosor del VD (0,51±0,08), TAPSE (2,94±3,85mmHg) y el índice de Tei (0,44±0,22) normales. Los casos (n 40), la edad promedio (48,43±8,08 años), predominio masculino y sobrepeso (IMC 29,54±3,41kg / m2), procedente de La Paz 3.600 msnm (56%), Potosí 4.000 msnm (24%), El Alto 4.100 msnm (13%) y Oruro 3.800 msnm (7%), Hematocrito 63,08±6,2%, Hemoglobina 21,01±2,01gr/dl con eritrotrocitosis, espirometría forzada normal, gasometría arterial en reposo con hipoxemia moderada (PaO2 51,73±4,68mmHg), hipocapnia (PaCO2 27,62±2,04mmHg) y gradiente Alveolo-arterial aumentado (7,61±3,15). Gasometría arterial en hiperoxia descarta shunt (PaO2 308,9±52,58mmHg), el ECG muestra 2 de 11 criterios de crecimiento VD, la ECCTT con hipertensión pulmonar moderada (PSAP 45,22±5,69mmHg), aumento de grosor del VD (0,73±0,22), TAPSE (2,08±0,18cm), normal e índice de Tei (0,51±0,10) ligeramente aumentado. Se concluyó que la función ventricular derecha se encuentra conservada, a pesar de tener hipertensión pulmonar leve (controles) y moderada (casos), con aumento del grosor del ventrículo derecho.

Those genetically adapted to the height are the Tibetans, Sherpas, and Ethiopians; the Aymara and Quechuas are acclimatized (Bolivia, Peru, and northern Chile). In Bolivia, chronic mountain sickness affects 10% of the male population. The objective was to determine the right ventricular function in healthy residents with chronic mountain sickness using transthoracic echocardiography. Use the healthy and chronically ill mountain participants admitted by the IBBA, from 2012 to 2013. The variables taken are demographic, forced spirometry, arterial blood gas at rest and hyperoxia, ECG, and ECCTT. Controls (n 40), average age (44.13 ± 9.69 years), male predominance and overweight (BMI 26.27 ± 6.68kg / m2), frequency from La Paz 3,600 masl (54%), Potosí 4,000 masl (22%), El Alto 4,100 masl (15%) and Oruro 3,800 masl (9%), the average Hematocrit 51.34 ± 2.91%, hemoglobin 17.15 ± 0.89gr / dl, Forced spirometry y Resting arterial blood gas and normal hyperoxia, ECCTT shows mild pulmonary hypertension (35.85 ± 3.64 mmHg), increased RV thickness (0.51 ± 0.08), TAPSE (2.94 ± 3.85 mmHg ) and the Tei index (0.44 ± 0.22) normal. The cases (n 40), the average age (48.43 ± 8.08 years), male predominance and overweight (BMI 29.54 ± 3.41kg / m2), derived from La Paz 3,600 masl (56%), Potosí 4,000 masl (24%), El Alto 4,100 masl (13%) and Oruro 3,800 masl (7%), Hematocrit 63.08 ± 6.2%, Hemoglobin 21.01 ± 2.01gr / dl with erythrocytosis, normal forced spirometry , resting arterial blood gas with moderate hypoxemia (PaO2 51.73 ± 4.68mmHg), hypocapnia (PaCO2 27.62 ± 2.04mmHg) and increased Alveolo-arterial gradient (7.61 ± 3.15). Arterial blood gas in hyperoxia rules out shunt (PaO2 308.9 ± 52.58mmHg), ECG shows 2 of 11 RV growth criteria, ECCTT with moderate pulmonary hypertension (PSAP 45.22 ± 5.69mmHg), increased RV thickness (0.73 ± 0.22), TAPSE (2.08 ± 0.18cm), normal and Tei index (0.51 ± 0.10) slightly increased. It was concluded that the right ventricular function is preserved, a weight of having mild pulmonary hypertension (controls) and moderate (cases), with increased thickness of the right ventricle.

Estandarización de una técnica en el tiempo y su impacto en los resultados para hiperhidrosis palmar primaria / Our technique standardization on time and how impact over outcomes for primary palmar hiperhidrosis

Resumen Introducción: La hiperhidrosis palmar primaria es un problema médico frecuente. Minimizar la invasión, simplificar y estandarizar la técnica supone mejores resultados. Objetivo: Evaluar eficacia y seguridad con la aplicación de nuestra técnica simplificada y estandarizada, a través de su impacto en los resultados trans y postoperatorio para la hiperhidrosis palmar primaria (HPP). Materiales y Método: Se realiza estudio observacional que evalúa los resultados obtenidos con la aplicación de nuestra técnica estandarizada para el tratamiento de HPP. El universo está constituido por 359 pacientes intervenidos entre 2007 y 2011. El control hasta los 5 años fue posible en 298, los que constituyeron la muestra definitiva. Resultados: Se analizaron 298 pacientes (596 procedimientos). En el transoperatorio solo 3 pacientes (1%) presentaron alguna complicación. El manejo del dolor torácico fue la mayor dificultad inmediata a la cirugía, con 61,7% de dolor moderado y 15,2% severo. Último control a 5 años con curación en el 99,7% y una recidiva. Los índices de satisfacción se muestran en rango excelente según encuestas validadas. Manejo ambulatorio en 99%. Discusión: Aplicar intubación endotraqueal simple permite extrapolar ventajas ya conocidas de esta técnica y menos complicaciones respiratorias, suspensiones, uso de recursos costosos o personal muy calificado. La combinación de simplificar aspectos quirúrgicos y anestésicos permitieron estandarizar y simplificar nuestra técnica y con ello: no necesitar drenajes pleurales, menos dolor, recuperación casi inmediata de la fisiología respiratoria y alta precoz. Conclusión: Combinar el empleo de tubo endotraqueal simple y oxigenación apneíca con minimizar la invasión quirúrgica: puerto único, sin drenaje pleural y manejo ambulatorio constituyen una práctica segura para la simpatectomía torácica endoscópica, con mejores resultados postoperatorios, una vez logrado en entrenamiento necesario.

Introduction: Primary palmar hyperhidrosis is a frequent medical problem. Minimizing invasion, simplifying and standardizing technique means better results. Aim: To evaluate efficacy and safety with the application of our simplified and standardized technique, through its impact on trans and post-operative outcomes for primary palmar hyperhidrosis (PPH). Minimizing approach, simplifying and standardizing the technique should lead to better outcomes. Materials and Method: An observational study is carried out to evaluate the outcomes obtained with the application of our standardized technique for the treatment of PPH. The universe constituted by 359 patients treated between 2007 and 2011. Control up to 5 years was possible in 298, which constituted the definitive sample. Results: 298 patients (596 procedures) were analyzed. In the transoperative only 3 patients (1%) report minor complication. Thoracic pain management was the greatest difficulty immediate to surgery, with 61.7% moderate pain and 15.2% severe. Satisfaction indexes in excellent range according to validated surveys. Outpatient management in 99%. Discussion: Simple intubation avoids respiratory complications, suspensions, use of expensive resources or highly qualified personnel. Early pain relief, non-uses of pleural tubes or antibiotics allows rapid recovery and early discharge due to simplification and standardization of the technique. Conclusion: The use of simple endotraqueal tube and oxygenation in apnea, single port, without pleural drainage or antibiotics and ambulatory is a safe practice for endoscopic thoracic sympathectomy, once achieved in necessary training.

Usutu virus: A new threat?

Usutu virus (USUV) is an emerging arbovirus that was first isolated in South Africa in 1959. This Flavivirus is maintained in the environment through a typical enzootic cycle involving mosquitoes and birds. USUV has spread to a large part of the European continent over the two decades mainly leading to substantial avian mortalities with a significant recrudescence of bird infections recorded throughout Europe within the few last years. USUV infection in humans is considered to be most often asymptomatic or to cause mild clinical signs. Nonetheless, a few cases of neurological complications such as encephalitis or meningoencephalitis have been reported. USUV and West Nile virus (WNV) share many features, like a close phylogenetic relatedness and a similar ecology, with co-circulation frequently observed in nature. However, USUV has been much less studied and in-depth comparisons of the biology of these viruses are yet rare. In this review, we discuss the main body of knowledge regarding USUV and compare it with the literature on WNV, addressing in particular virological and clinical aspects, and pointing data gaps.

Recommendations for the prevention and diagnosis of asthma in children: Evidence from international guidelines adapted for Mexico

BACKGROUND: With the availability of high-quality asthma guidelines worldwide, one possible approach of developing a valid guideline, without re-working the evidence, already analysed by major guidelines, is the ADAPTE approach, as was used for the development of National Guidelines on asthma. METHODS: The guidelines development group (GDG) covered a broad range of experts from medical specialities, primary care physicians and methodologists. The core group of the GDG searched the literature for asthma guidelines 2005 onward, and analysed the 11 best guidelines with AGREE-II to select three mother guidelines. Key clinical questions were formulated covering each step of the asthma management. RESULTS: The selected mother guidelines are British Thoracic Society (BTS), GINA and GEMA 2015. Responses to the questions were formulated according to the evidence in the mother guidelines. Recommendations or suggestions were made for asthma treatment in Mexico by the core group, and adjusted during several rounds of a Delphi process, taking into account: 1. Evidence; 2. Safety; 3. Cost; 4. Patient preference - all these set against the background of the local reality. Here the detailed analysis of the evidence present in BTS/GINA/GEMA sections on prevention and diagnosis in paediatric asthma are presented for three age-groups: children with asthma ≤5 years, 6-11 years and ≥12 years. CONCLUSIONS: For the prevention and diagnosis sections, applying the AGREE-II method is useful to develop a scientifically-sustained document, adjusted to the local reality per country, as is the Mexican Guideline on Asthma

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Uniaxial and biaxial structures in the elastic Maier-Saupe model.

We perform statistical mechanics calculations to analyze the global phase diagram of a fully connected version of a Maier-Saupe-Zwanzig lattice model with the inclusion of couplings to an elastic strain field. We point out the presence of uniaxial and biaxial nematic structures, depending on temperature T and on the applied stress σ. Under uniaxial extensive tension, applied stress favors uniaxial orientation, and we obtain a first-order boundary along which there is a coexistence of two uniaxial paranematic phases, and which ends at a simple critical point. Under uniaxial compressive tension, stress favors biaxial orientation; for small values of the coupling parameters, the first-order boundary ends at a tricritical point, beyond which there is a continuous transition between a paranematic and a biaxially ordered structure. For some representative choices of the model parameters, we obtain a number of analytic results, including the location of critical and tricritical points and the line of stability of the biaxial phase.

Binding of the substrate UDP-glucuronic acid induces conformational changes in the xanthan gum glucuronosyltransferase.

GumK is a membrane-associated glucuronosyltransferase of Xanthomonas campestris that is involved in xanthan gum biosynthesis. GumK belongs to the inverting GT-B superfamily and catalyzes the transfer of a glucuronic acid (GlcA) residue from uridine diphosphate (UDP)-GlcA (UDP-GlcA) to a lipid-PP-trisaccharide embedded in the membrane of the bacteria. The structure of GumK was previously described in its apo- and UDP-bound forms, with no significant conformational differences being observed. Here, we study the behavior of GumK toward its donor substrate UDP-GlcA. Turbidity measurements revealed that the interaction of GumK with UDP-GlcA produces aggregation of protein molecules under specific conditions. Moreover, limited proteolysis assays demonstrated protection of enzymatic digestion when UDP-GlcA is present, and this protection is promoted by substrate binding. Circular dichroism spectroscopy also revealed changes in the GumK tertiary structure after UDP-GlcA addition. According to the obtained emission fluorescence results, we suggest the possibility of exposure of hydrophobic residues upon UDP-GlcA binding. We present in silico-built models of GumK complexed with UDP-GlcA as well as its analogs UDP-glucose and UDP-galacturonic acid. Through molecular dynamics simulations, we also show that a relative movement between the domains appears to be specific and to be triggered by UDP-GlcA. The results presented here strongly suggest that GumK undergoes a conformational change upon donor substrate binding, likely bringing the two Rossmann fold domains closer together and triggering a change in the N-terminal domain, with consequent generation of the acceptor substrate binding site.

Evaluation of helper-dependent canine adenovirus vectors in a 3D human CNS model.

Gene therapy is a promising approach with enormous potential for treatment of neurodegenerative disorders. Viral vectors derived from canine adenovirus type 2 (CAV-2) present attractive features for gene delivery strategies in the human brain, by preferentially transducing neurons, are capable of efficient axonal transport to afferent brain structures, have a 30-kb cloning capacity and have low innate and induced immunogenicity in preclinical tests. For clinical translation, in-depth preclinical evaluation of efficacy and safety in a human setting is primordial. Stem cell-derived human neural cells have a great potential as complementary tools by bridging the gap between animal models, which often diverge considerably from human phenotype, and clinical trials. Herein, we explore helper-dependent CAV-2 (hd-CAV-2) efficacy and safety for gene delivery in a human stem cell-derived 3D neural in vitro model. Assessment of hd-CAV-2 vector efficacy was performed at different multiplicities of infection, by evaluating transgene expression and impact on cell viability, ultrastructural cellular organization and neuronal gene expression. Under optimized conditions, hd-CAV-2 transduction led to stable long-term transgene expression with minimal toxicity. hd-CAV-2 preferentially transduced neurons, whereas human adenovirus type 5 (HAdV5) showed increased tropism toward glial cells. This work demonstrates, in a physiologically relevant 3D model, that hd-CAV-2 vectors are efficient tools for gene delivery to human neurons, with stable long-term transgene expression and minimal cytotoxicity.

Maier-Saupe model for a mixture of uniaxial and biaxial molecules.

We introduce shape variations in a liquid-crystalline system by considering an elementary Maier-Saupe lattice model for a mixture of uniaxial and biaxial molecules. Shape variables are treated in the annealed (thermalized) limit. We analyze the thermodynamic properties of this system in terms of temperature T, concentration c of intrinsically biaxial molecules, and a parameter Δ associated with the degree of biaxiality of the molecules. At the mean-field level, we use standard techniques of statistical mechanics to draw global phase diagrams, which are shown to display a rich structure, including uniaxial and biaxial nematic phases, a reentrant ordered region, and many distinct multicritical points. Also, we use the formalism to write an expansion of the free energy in order to make contact with the Landau-de Gennes theory of nematic phase transitions.

Annealed Ising model with site dilution on self-similar structures.

We consider an Ising model on the triangular Apollonian network (AN), with a thermalized distribution of vacant sites. The statistical problem is formulated in a grand canonical ensemble, in terms of the temperature T and a chemical potential µ associated with the concentration of active magnetic sites. We use a well-known transfer-matrix method, with a number of adaptations, to write recursion relations between successive generations of this hierarchical structure. We also investigate the analogous model on the diamond hierarchical lattice (DHL). From the numerical analysis of the recursion relations, we obtain various thermodynamic quantities. In the µâ†’∞ limit, we reproduce the results for the uniform models: in the AN, the system is magnetically ordered at all temperatures, while in the DHL there is a ferromagnetic-paramagnetic transition at a finite value of T. Magnetic ordering, however, is shown to disappear for sufficiently large negative values of the chemical potential.

Biophysical characterization of the outer membrane polysaccharide export protein and the polysaccharide co-polymerase protein from Xanthomonas campestris.

This study investigated the structural and biophysical characteristics of GumB and GumC, two Xanthomonas campestris membrane proteins that are involved in xanthan biosynthesis. Xanthan is an exopolysaccharide that is thought to be a virulence factor that contributes to bacterial in planta growth. It also is one of the most important industrial biopolymers. The first steps of xanthan biosynthesis are well understood, but the polymerization and export mechanisms remain unclear. For this reason, the key proteins must be characterized to better understand these processes. Here we characterized, by biochemical and biophysical techniques, GumB, the outer membrane polysaccharide export protein, and GumC, the polysaccharide co-polymerase protein of the xanthan biosynthesis system. Our results suggested that recombinant GumB is a tetrameric protein in solution. On the other hand, we observed that both native and recombinant GumC present oligomeric conformation consistent with dimers and higher-order oligomers. The transmembrane segments of GumC are required for GumC expression and/or stability. These initial results provide a starting point for additional studies that will clarify the roles of GumB and GumC in the xanthan polymerization and export processes and further elucidate their functions and mechanisms of action.

Síndrome neuroléptico maligno-like como complicación en enfermedad de Parkinson: Desenlace fatal. Reporte de un caso y revisión de la literatura / Case report of an 80 year-old patient with Parkinson's Disease affected by Malignant Hyperthermia Syndrome with fatal outcome

Parkinson's disease presents its particular complications and others associated with pharmacological therapy. In this report we present an 80 year-old patient with Parkinson's disease, who having a febrile syndrome decides to suspend his usual antiparkinsonian treatment. As a consequence an exacerbation of their extrapyramidal symptoms appear and his fever syndrome persists without infectious focus. Neuroleptic Malignant Syndrome variant with fatal outcome was concluded.

La Enfermedad de Parkinson presenta complicaciones propias de su patología y asociadas a su terapia farmacológica. Presentamos un paciente de 80 años con Enfermedad de Parkinson, que debuta con un síndrome febril por lo que suspende su tratamiento antiparkinsoniano habitual. Como consecuencia, se agrega exacerbación de su clínica extrapiramidal, persistiendo su cuadro febril sin foco infeccioso. Se concluye variante del Síndrome Neuroléptico Maligno con resolución fatal.

1,3-Dipolar cycloadditions of ruthenium(II) azido complexes with alkynes and nitriles.

The diazido complex [Na][Ru(N3)2{κ(3)(N,N,N)-Tpms}(PPh3)] (1) (Tpms = tris(pyrazolyl)methanesulfonate) has been synthesized, and its reactivity toward dipolarophiles has been investigated. Thus, the reaction of 1 with alkynes leads to complexes with one or two triazolate ligands depending on the alkyne and the reaction conditions. Complex 1 also reacts with nitriles. Thus, the reaction with RCN (R = Me, Ph) leads to the substitution products [Ru(N3)(NCR){κ(3)(N,N,N)-Tpms}(PPh3)]. However, when fumaronitrile is used, a complex containing a new κ(2)(N(1),N(3))-5-(1,2,3-triazol-4-yl)-1,2,3,4-tetrazolate ligand is obtained as the result of two consecutive cycloaddition reactions. The mechanism for this unusual reaction has been unambiguously established through the isolation of the intermediate complex resulting from a first cycloaddition between a coordinated azide and the C═C double bond.

Biaxial nematic phase in the Maier-Saupe model for a mixture of discs and cylinders.

We analyze the global phase diagram of a Maier-Saupe lattice model with the inclusion of shape-disordered degrees of freedom to mimic a mixture of oblate and prolate molecules (discs and cylinders). In the neighborhood of a Landau multicritical point, solutions of the statistical problem can be written as a Landau-de Gennes expansion for the free energy. If the shape-disordered degrees of freedom are quenched, we confirm the existence of a biaxial nematic structure. If orientational and disorder degrees of freedom are allowed to thermalize, this biaxial solution becomes thermodynamically unstable. Also, we use a two-temperature formalism to mimic the presence of two distinct relaxation times, and show that a slight departure from complete thermalization is enough to stabilize a biaxial nematic phase.

Tricritical-like behavior of the nonlinear optical refraction at the nematic-isotropic transition in the E7 thermotropic liquid crystal.

We use Z-scan technique to investigate the nonlinear optical response of the thermotropic liquid crystal E7 in the neighborhood of the nematic-isotropic phase transition. The analysis of the data for the nonlinear optical birefringence is compatible with an effective critical exponent of the order parameter, ß = 0.28 ± 0.03, which is close to the classical value, ß = 0.25 , for a tricritical point. The nonlinear optical absorption in the nematic range depends on the geometrical configuration of the nematic director with respect to the polarization beam, and vanishes in the isotropic phase.

Phase diagram of a model for a binary mixture of nematic molecules on a Bethe lattice.

We investigate the phase diagram of a discrete version of the Maier-Saupe model with the inclusion of additional degrees of freedom to mimic a distribution of rodlike and disklike molecules. Solutions of this problem on a Bethe lattice come from the analysis of the fixed points of a set of nonlinear recursion relations. Besides the fixed points associated with isotropic and uniaxial nematic structures, there is also a fixed point associated with a biaxial nematic structure. Due to the existence of large overlaps of the stability regions, we resorted to a scheme to calculate the free energy of these structures deep in the interior of a large Cayley tree. Both thermodynamic and dynamic-stability analyses rule out the presence of a biaxial phase, in qualitative agreement with previous mean-field results.

Statistical models of mixtures with a biaxial nematic phase.

We consider a simple Maier-Saupe statistical model with the inclusion of disorder degrees of freedom to mimic the phase diagram of a mixture of rodlike and disklike molecules. A quenched distribution of shapes leads to a phase diagram with two uniaxial and a biaxial nematic structure. A thermalized distribution, however, which is more adequate to liquid mixtures, precludes the stability of this biaxial phase. We then use a two-temperature formalism, and assume a separation of relaxation times, to show that a partial degree of annealing is already sufficient to stabilize a biaxial nematic structure.