Rational Basis Research Articles

Antenatally Detected Choledochal Malformation: What Are We Waiting For?

IntroductionAn increasing proportion of congenital choledochal malformation (CCM) are being detected on antenatal ultrasound. However, the actual timing of its surgical correction remains controversial with some series showing an excess of complications the earlier the operation. The aim of this study was to characterize the pathophysiological aspects of this cohort from the perspective of age at surgery in order to inform a more rational basis for clinical decision-making. MethodsWe analysed a prospective database of CCM acquired over a 26-year period (Jan. 1997 to Dec. 2022) for patient demography; details of pre- and post-natal imaging; age at surgical intervention; operative complications (Clavien-Dindo classification) and outcome. Data are quoted as median (IQR). All comparisons are non-parametric. A P value of 0.05 was accepted as significant. ResultsThere were 58 (72% female) children with an antenatally-detected CCM from a total of 265 (21.8%) in the series. These were classified as Type 1C (n = 47; 81%), type 4C (n = 3; 5%) and Type 5 (n = 8; 14%). There were no Type 1F lesions in this cohort. Median age at surgery was 113 (IQR 57–198) days.Postnatal cyst (US) size varied from 12 to 130 mm but there was little evidence of a relationship between this and post-natal liver biochemistry (e.g. bilirubin rS = 0.01, P = 0.44; AST rS = 0.14, P = 0.19). Choledochal pressure measurements (n = 46) showed resting pressures of 12 (9–21) mmHg with no significant correlation with age (P = 0.4) or aspartate aminotransferase (P = 0.2) or γ-glutamyl transferase (P = 0.06).The cohort was divided into 2 groups (Early and Late) based on the median age at surgery (all open) (113 days). Biliary obstruction was more common in the Early group (10 vs. 2; P = 0.01). Two perforations occurred, both in the Early group.With a deliberate policy of regular ultrasound-based follow-up we have seen no anastomotic complications (leak, stenosis, persistent intrahepatic biliary dilatation or stones) or post-operative cholangitis in any child [median follow-up 3.42 (1.30–8.05) years]. ConclusionsThis is one of the largest series documenting the outcomes of antenatally-detected CCMs, certainly in Europe and North America. Such lesions are invariably cystic in nature, and either Types 1C, 4C or 5. The absence of complications using a policy of early intervention (where possible) in experienced hepatobiliary units was shown. Evidence LevelII.

Interactions between the protein barnase and co-solutes studied by NMR

Protein solubility and stability depend on the co-solutes present. There is little theoretical basis for selection of suitable co-solutes. Some guidance is provided by the Hofmeister series, an empirical ordering of anions according to their effect on solubility and stability; and by osmolytes, which are small organic molecules produced by cells to allow them to function in stressful environments. Here, NMR titrations of the protein barnase with Hofmeister anions and osmolytes are used to measure and locate binding, and thus to separate binding and bulk solvent effects. We describe a rationalisation of Hofmeister (and inverse Hofmeister) effects, which is similar to the traditional chaotrope/kosmotrope idea but based on solvent fluctuation rather than water withdrawal, and characterise how co-solutes affect protein stability and solubility, based on solvent fluctuations. This provides a coherent explanation for solute effects, and points towards a more rational basis for choice of excipients.

Insights into the Interfacial Charge Transfer Dynamics in Semiconductor–Molecular Catalyst Assemblies for Photo–Induced CO2 Reduction

AbstractThis mini–review summarises examples of photo and photoelectrochemical CO2 reduction reactions (CO2RR) using semiconductor–molecular catalyst–based hybrid assemblies in which studies of charge transfer dynamics were also performed. In these catalysts, the grand challenges are controlling ultra–fast one–electron charge separation and simultaneously governing its impact on the efficiency and product selectivity in the multielectron and multi–proton–assisted CO2RR. In practice, several unwanted electron recombination processes occur in the femtosecond to millisecond timescale range impacting the overall catalysis efficiency. Titanium di‐oxide (TiO2) nanoparticle, mesoporous TiO2 film, copper indium sulphide (CuInS2) quantum dots were used as semiconductor materials, in turn rhenium (I) bipyridine, cobalt (II) terpyridine, cobaloxamine complex, and iron (III) porphyrins were investigated as molecular catalysts. The results of the charge transfer dynamic studies operating in such hybrid systems shed light on their charge accumulation processes, their rate constants for the intramolecular charge transfer processes and the decay lifetimes of the different excited state species that are produced. Moreover, a comprehensive understanding of the catalysts’ charge transfer dynamics is crucial to identifying detrimental charge recombination pathways. These undesired pathways can be used as rational basis for improving the design of future multi–redox–driven hybrid catalysts.

Numerical and three-factor design investigation for melting process of phase-change spherical capsules in a solar thermal energy storage system

The application of spherical phase-change capsules in solar thermal energy storage systems (STESS) can enhance the sustainability and stability of energy output in solar energy utilization, making it a recent research hotspot. Nonetheless, the influence of neglecting three-dimensional effects through structural simplification on the phase-change process and the criteria for selecting the mushy zone constant in numerical studies are still not well-defined. In this context, a detailed analysis is conducted to investigate the variations in liquid fraction, temperature, flow field, and the time required for complete PCM melting caused by the structural simplification method. Subsequently, a three-factor design analysis is performed on parameters including spherical radius (R), mushy zone constant (Amush) and phase-change temperature range (ΔT) with the aim of establishing a rational basis for selecting the mushy zone constant. Results show that the simplification of the 3D spherical encapsulation structure into a two-dimensional (2D) circular encapsulation structure introduces notable discrepancies in the PCM melting process. In contrast to the 2D circular encapsulation structure, the 3D spherical encapsulation structure demonstrates a reduction in the time required for complete PCM melting by 23 % to 36 %. The influence of simplifying the 3D spherical encapsulation structure into a 2D axisymmetric encapsulation configuration on the numerical simulation of the PCM melting process becomes more pronounced with the increase of R. For the 3D spherical encapsulation structure, the hierarchy of significance regarding the factors influencing the PCM melting process manifests in the sequence: R, Amush, (R × Amush), and ΔT. Furthermore, the formulated correlation based on the aforementioned four factors enables precise prediction of the time required for complete PCM melting within the 3D spherical encapsulation structure and offers a foundation for selecting the appropriate Amush value in numerical simulation. The present work contributes novel insights into the accuracy and rationality of numerical simulations for phase-change processes in the STESS.

Vulnerability assessment and analysis of cryosphere changes in the Western Sichuan Plateau

ABSTRACT A vulnerability assessment model and indicator system for the changes in the cryosphere in the Western Sichuan Plateau are constructed based on the “exposure–sensitivity–adaptive capacity” framework. The model aims to capture the multiple characteristics of vulnerability to cryosphere changes in the region by selecting influencing factors from three dimensions: exposure, sensitivity, and adaptive capacity. Furthermore, the study explores the interrelationships among vulnerability dimensions and employs geographical detectors to analyze the driving mechanisms of vulnerability. The ultimate goal is to provide a scientific and rational basis for developing effective adaptation strategies to prevent and mitigate cryosphere-related disasters in the area. The main findings are as follows: (1) The vulnerability to cryosphere changes in the Western Sichuan Plateau exhibits a distribution pattern characterized by higher vulnerability in the west and lower vulnerability in the east. (2) There is a significant correlation between vulnerability and geographical location, characterized by two types of distribution patterns: high–high aggregation and low–low aggregation. The aggregation patterns are relatively stable but exhibit spatial heterogeneity. (3) The vulnerability to cryosphere changes in the Western Sichuan Plateau is the combined result of natural geographical conditions, socioeconomic development levels, and other factors.

Anatomical Bases of the Temporal Muscle Trigger Points.

Temporal muscles of 14 adult cadavers were studied. The muscle bellies were divided into six areas, three superior (1.2 and 3) and three inferior areas (4, 5, and 6) lower, according to a Cartesian plane to analyze and describe the entry points of the branches of the deep temporal nerves into the muscle. The branching distribution was analyzed using Poisson log-linear tests with Bonferroni post hoc tests for comparison between groups (sextants) (p < 0.05). Deep temporal nerve entry points were found in the temporal muscle in all areas. Most of the branches were observed in areas 2 and 5, which coincide with the muscle fibers responsible for mandible elevation and related to the previously described MTPs. Fewer branches were found in areas 1 and 6, where contraction produces mandible retraction. There is an anatomical correlation between the branching pattern of the deep temporal nerve and temporal muscle trigger points. Adequate knowledge of the innervation of the temporal muscle may help elucidate the pathophysiology of myofascial syndromes and provide a rational basis for interventional or conservative approaches and help surgeons avoid iatrogenic lesions to the deep temporal nerve lesion.

A Free Streamline Model for Fully Separated Turbomachine Flows

Abstract This paper describes the use of the free streamline approach to determine flows in fully separated cascades, and to thereby provide a rational basis for estimating the performance of axial turbomachinery at severely off-design conditions. On the assumption of two-dimensional, incompressible flow, the free streamlines that bound the separated region are determined using the hodograph method, in which the methods of complex analysis are used to define a tractable numerical problem. The resulting jet-wake flow profile at cascade exit is then presumed to undergo mixing at constant-area, from which performance parameters for the cascade can be determined. The proposed method is verified by comparison against flat plate cascade solutions and by checks against momentum conservation. Validation of the free streamline approach is carried out by comparison against several cascade configurations for which experimental data and simulation results are available. In general, the predictions based upon the present theoretical model are found to be good, especially for negative incidences such as those that occur in the compressor section of an engine operating at sub-idle conditions. This suggests that the present approach can be used in the estimation of turbomachinery performance maps far from the design point, especially during early design phases.

Trends, Problems, and Solutions from Point Cloud via Non-Uniform Rational Basis Spline to Building Information Modelling: Bibliometric and Systematic Study

Building Information Modelling (BIM) has found applications not only in the planning and designing of new buildings but also in project monitoring, record-keeping, and analyses of existing structures. In addition to its primary application, information modelling spreads to other areas, developing solutions for their specific uses. This study engaged a mixed-method literature review according to the extent of the pool of knowledge for two research steps between three concepts—from point cloud to NURBS and then from NURBS to BIM. In the first step, the keywords point cloud and NURBS were analysed using scientometric methods. In the second step, a systematic analysis of the content of works obtained with the keywords NURBS and BIM is presented, extracting problems and proposed solutions for information transfer technology. The results of a quantitative analysis identified major trends, (1) research is distributed in interdisciplinary and multidisciplinary areas and historical (heritage) modelling is the highlighted one, (2) development of technologies for object surveying, and (3) the application of data in different engineering fields, while a qualitative analysis points at problems in (1) model building, (2) interoperability, and (3) automatization. Solutions such as mixed models, multi-layered models, a mix of formats, or bridging elements (semantics, proto-model) are proposed.

Outcome of Olecranon Fracture Treated with Tension Band Wiring Versus Anatomical Locking Plate Fixation

Aim: Up to 10% of all upper limb fractures involve the olecranon, and this type of fracture is the most common osseous injury of the elbow joint. These show a bimodal distribution occurring in younger patients due to high-energy trauma and in elderly cohorts with low bone quality after low-energy falls. Objective: To compare functional outcome of tension band wiring versus anatomical locking plate fixation for reduction of olecranon fracture Materials and Methods: This randomized controlled trial study was conducted in the Department of Orthopedic, Lady Reading Hospital, Medical Teaching Institute Peshawar from December 2022 to June 2023. Non-probability consecutive sampling technique was used in this study. Sample size was calculated using WHO calculator keeping 95% confidence interval 80 % power of study, 10% absolute precision, mean Mayo elbow score was 84.0±9.3 in the TBW group and 88.3±9.1 in the locking plate fixation group (4). Expected sample size is 32 patients in each group, total 72 patients. Patients of both genders have age range from 20 to 70 year with Mayo type 2A olecranon fractures, more than 2 mm of joint displacement determined on X-ray elbow, and elbow extension loss determined on physical examination presented within 7 days of the injury were included in the study while Patients with open fracture and revision surgery were excluded from the study. Results: In this study age distribution among 72 patients was analyzed as n= 20-30 Years 17(27.4%) 31-40 Years 14(22.6%) 41-50.Years 11(17.7%) 51-70 Years 20(32.3%). Mean age was 47.1 Years with SD ± 2.87. Gender wise Distribution among 72 Patients was analyzed as Male were 31(50.0%) and female were 31(50.0%). Distribution of duration of disease among 72 patients were analysed as n= 1-2 weeks were 47(75.8%) and 3-4 weeks were 15(24.2%) Practical Implication: There are no established guidelines for the treatment of olecranon fracture in our institution. Most olecranon fractures are treated according to surgeon preferences and surgical experience of the surgeon. Previous studies showed variables results with no consensus. We will provide rationale basis for universal use of standard treatment of olecranon fracture. Conclusion: Although there were no statistically significant differences in clinical outcomes between the two groups, the ALP group had a higher proportion of any complication than the RP group. Keywords: Anatomical locking plate; complications; eyelet wire; olecranon fracture; tension band wiring.

PECULIARITIES OF APPLYING INFORMATION AND COMMUNICATIVE TECHNOLOGIES IN THE HIGHER LEGAL EDUCATION

The paper is dedicated to issues on peculiarities of applying information and communicative technologies in the higher legal education. There is stressed, information and communicative technologies, in the context of its` applying in the educative process, would be understood as a tool of knowledge. There is suggested to interpret information and communicative technologies, applying in the educative process as a set of methods and technical equipment for providing an effective process of studding and communication on the basis of computer networks. Roles of information and communicative technologies in the higher legal education are formulated. They are cognitive, researchscientific, professional-practical, formative-personal, competitive-motivational, resistant, creative. Their content is opened. There is showed, the significance of information and communicative technologies in the process of the higher legal education is an establishment, formation and development of a subject of the educational process relevant to today's technological requirements as a complete individual with a high level of professionalism and appropriate personal features. There is outlined, the applying information and communicative technologies in the higher legal education has a raw of peculiarities. The specificity of higher legal education, which is manifested in the practical orientation of legal professions and the orientation of training students for work in state authorities, is their determinant. Advantages and disadvantages of the applying information and communicative technologies for students and tutors are analyzed. After results of analysis, recommendations on applying information and communicative technologies in the educational process in general, and in the higher legal education in particular, are formulated. These recommendations provide usage of information and communicative technologies in the higher legal education on the basis of rationality and temperance, and, however, exclusion of the possibility of replacing the real one with a "virtual" educational process.

Design and Thermodynamics Principles to Program the Cooperativity of Molecular Assemblies

AbstractMost functional nanosystems in living organisms are constructed using multimeric assemblies that provide multiple advantages over their monomeric counterparts such as cooperative or anti‐cooperative responses, integration of multiple signals and self‐regulation. Inspired by these natural nanosystems, chemists have been synthesizing self‐assembled supramolecular systems over the last 50 years with increasing complexity with applications ranging from biosensing, drug delivery, synthetic biology, and system chemistry. Although many advances have been made concerning the design principles of novel molecular architectures and chemistries, little is still known, however, about how to program their dynamic of assembly so that they can assemble at the required concentration and with the right sensitivity. Here, we used synthetic DNA assemblies and double‐mutant cycle analysis to explore the thermodynamic basis to program the cooperativity of molecular assemblies. The results presented here exemplify how programmable molecular assemblies can be efficiently built by fusing interacting domains and optimizing their compaction. They may also provide the rational basis for understanding the thermodynamic and mechanistic principles driving the evolution of multimeric biological complexes.

Design and Thermodynamics Principles to Program the Cooperativity of Molecular Assemblies.

Most functional nanosystems in living organisms are constructed using multimeric assemblies that provide multiple advantages over their monomeric counterparts such as cooperative or anti-cooperative responses, integration of multiple signals and self-regulation. Inspired by these natural nanosystems, chemists have been synthesizing self-assembled supramolecular systems over the last 50 years with increasing complexity with applications ranging from biosensing, drug delivery, synthetic biology, and system chemistry. Although many advances have been made concerning the design principles of novel molecular architectures and chemistries, little is still known, however, about how to program their dynamic of assembly so that they can assemble at the required concentration and with the right sensitivity. Here, we used synthetic DNA assemblies and double-mutant cycle analysis to explore the thermodynamic basis to program the cooperativity of molecular assemblies. The results presented here exemplify how programmable molecular assemblies can be efficiently built by fusing interacting domains and optimizing their compaction. They may also provide the rational basis for understanding the thermodynamic and mechanistic principles driving the evolution of multimeric biological complexes.

The effective combination therapies with irinotecan for colorectal cancer.

Colorectal cancer is the third most common type of cancer worldwide and has become one of the major human disease burdens. In clinical practice, the treatment of colorectal cancer has been closely related to the use of irinotecan. Irinotecan combines with many other anticancer drugs and has a broader range of drug combinations. Combination therapy is one of the most important means of improving anti-tumor efficacy and overcoming drug resistance. Reasonable combination therapy can lead to better patient treatment options, and inappropriate combination therapy will increase patient risk. For the colorectal therapeutic field, the significance of combination therapy is to improve the efficacy, reduce the adverse effects, and improve the ease of treatment. Therefore, we explored the clinical advantages of its combination therapy based on mechanism or metabolism and reviewed the rationale basis and its limitations in conducting exploratory clinical trials on irinotecan combination therapy, including the results of clinical trials on the combination potentiation of cytotoxic drugs, targeted agents, and herbal medicine. We hope that these can evoke more efforts to conduct irinotecan in the laboratory for further studies and evaluations, as well as the possibility of more in-depth development in future clinical trials.

The plasma membrane as an emulsion: A rational basis for “rafts,” and a different look at them

The plasma membrane as an emulsion: A rational basis for “rafts,” and a different look at them

Research on the Public Environment Renewal of Traditional Villages Based on the Social Network Analysis Method

Constructing digital models of public spaces of social networks found in traditional villages helps us explore the logic behind the interactions that occur within various relationships as well as achieve the optimization of spatial layouts and the equalization of the different use needs that social groups have. However, this analytical method has not been fully studied in the field focusing on the rationality of public spaces in traditional villages. This paper takes the traditional village protection demonstration area in Mentougou District, Beijing, China, as the object of research and selects three different forms of traditional villages to be analyzed. It tries to excavate the universal laws and unique differences in the models of the different forms of traditional villages and establish models for quantitative research, such as index calculation, so as to increase the depth and accuracy of research and embody the characteristic laws of the spaces studied in terms of the nature of the structures and relationships that are part of these spaces. The results show that the spatial characteristics of the different forms of traditional villages are obviously different from the relevance, equalization, and connectivity of spatial networks. The cluster form of traditional villages tends to focus on the villagers’ use demands and the assessment of the spatial status quo by increasing the number of spatial nodes and transforming spatial functions in order to achieve higher equalization. The dispersed form of traditional villages tends to focus on optimizing the relevance of spatial network structures. The linear form of traditional villages tends to establish public spaces so as to increase the depth and accuracy of research. Villages ought to establish direct links between public spaces in order to increase the connectivity of traditional villages. This study provides a rational basis for the differentiated planning decisions of traditional villages and lays the foundation for the promotion of the smooth and sustainable development of regional villages.

Discretionary powers of administrative court: some aspects of their understanding and exercise

Having studied Ukrainian general legislative provisions, binding legal opinions of the Supreme Court of Ukraine and the scientific literature concerning the discretionary powers of administrative courts, it is established that, regardless of the use of quasi-dispositive wording expressing the “possibility” or the “right” of the administrative court to make a procedural decision, the existence of grounds for such decisions implies that it has the duty to make this decision or, in exceptional cases, to adequately justify the inconsistency of the decision that could have been made with the tasks and principles of administrative proceedings. It is noted that the discretion of the administrative court cannot be unlimited and is subject to general and sectoral principles, the purpose of administrative proceedings and individual procedural mechanisms and some other factors of a higher order to the provision establishing procedural discretion. For instance, it was determined that deviations from previous decisions made by the same administrative court judge in the same or similar cases are not acceptable. However, not any non-uniform application of law within the freedom of discretion should be justified, but only a difference that has a significant impact on disputed rights and obligations on the participants of the relevant legal relationship.&#x0D; It is argued that the discretion of the administrative court, which is not limited by special restrictive legislative provisions, in order to prevent arbitrary decisions, must be accompanied by the obligation to properly substantiate the existence of grounds for making a particular procedural decision with reference to those real factual circumstances, which as far as possible can be measured by objective indicators and verified within the framework of the court decision appellate. It is emphasized that this when exercising discretionary powers is necessary for the administrative court to fulfill general requirements regarding the existence of a rational basis for the decision taken, confirmation of its legality and reasonableness with the help of facts and evidence, relying on which any other judge of the administrative court acting in good faith and with competence in the relevant matters would have sufficient grounds to make the same decision.

Quantum Uncertainty and the Black-Scholes Formula

The publication of the Black-Scholes formula in 1973 appeared for the first time to put the pricing of financial options onto a rational and objective basis. Its adoption transformed the perception of option pricing from a form of gambling to scientific risk management, and led to a huge increase in options trading. However while the formula revolutionised the world of finance, and remains the industry-standard pricing model today, its proof relies on a number of assumptions about price behaviour which are often contested, such as that log prices follow a random walk with constant volatility, and that one can constantly buy or sell stocks and options without incurring transaction fees. This paper presents an alternative approach to option pricing, based on a quantum oscillator model of stock prices. In the quantum model, the bid/ask spread between buy and sell prices is treated as a fundamental measure of uncertainty, and volatility is not constant but exhibits a smile-like dependence on strike. We show how the Black-Scholes model and its assumptions lead to a systematic mispricing of commonly-traded options, while results can be improved by adopting the quantum model.

Strength-based topology optimisation of anisotropic continua in a CAD-compatible framework

In this paper, a new method to address strength-based topology optimisation (TO) problems is proposed. Specifically, failure criteria for anisotropic materials are integrated into a TO algorithm making use of Non-Uniform Rational Basis Spline (NURBS) hyper-surfaces to represent the pseudo-density field describing the topology of the continuum, thus providing solutions that can be easily exported to any computer-aided design software. The notion of failure load factor is introduced to obtain optimised topologies that do not depend on the magnitude of the applied loads. A unified formulation of the main phenomenological criteria for anisotropic materials, i.e., Tsai–Wu, Hoffman and Tsai–Hill criteria, is used and typical issues related to stress-based TO problems, such as local behaviour and singularity of stresses, are handled thanks to: the properties of NURBS blending functions, a special adaptive χ-norm aggregation function that avoids overflow/underflow issues, and a modified pq relaxation approach. The effectiveness of the proposed approach is demonstrated on 2D and 3D problems. A sensitivity analysis of the optimised topologies to the integer parameters involved in the definition of the NURBS entity is performed. Moreover, the influence of the penalisation scheme used for the elasticity and the stress tensors, the failure criterion, and the orientation of the material on the optimal solution is also investigated.

Proinflammatory chemokine CXCL14 activates MAS-related G protein-coupled receptor MRGPRX2 and its putative mouse ortholog MRGPRB2

Patients with idiopathic pulmonary fibrosis show a strongly upregulated expression of chemokine CXCL14, whose target is still unknown. Screening of CXCL14 in a panel of human G protein-coupled receptors (GPCRs) revealed its potent and selective activation of the orphan MAS-related GPCR X2 (MRGPRX2). This receptor is expressed on mast cells and − like CXCL14 − upregulated in bronchial inflammation. CXCL14 induces robust activation of MRGPRX2 and its putative mouse ortholog MRGPRB2 in G protein-dependent and β-arrestin recruitment assays that is blocked by a selective MRGPRX2/B2 antagonist. Truncation combined with mutagenesis and computational studies identified the pharmacophoric sequence of CXCL14 and its presumed interaction with the receptor. Intriguingly, C-terminal domain sequences of CXCL14 consisting of 4 to 11 amino acids display similar or increased potency and efficacy compared to the full CXCL14 sequence (77 amino acids). These results provide a rational basis for the future development of potential idiopathic pulmonary fibrosis therapies.

The Right to a Public Trial, Conditional Courtroom Entry and Tiers of Constitutional Scrutiny

The constitutional test the SupremeCourt has prescribed to review courtroom closures for compliance with the Sixth Amendment’s right to a public trial is in the nature of strict scrutiny. The Courtrequires an “overriding interest” to justify the closure, and a narrow, minimally restrictive scope to the closure. Many lower courts have imposed a less demanding test for “partial” closures, which admitto the courtroom some, but not all, of the public. These courts require a less demanding justification before closing the courtroom to certain individuals—the justification need be only “substantial,” rather than “overriding.” This standard is in the nature of intermediate scrutiny, as applied in other constitutional contexts. There is a third type of “closure,” however, beyond the complete closures the Supreme Court has reviewed, and the partial closures encountered by other courts. This third type is the imposition of entry conditions on would-be audience members, such as requiring a form of identification. These generally applicable conditions may not actually exclude anyone but could conceivably dissuade some audience members from attending a trial. For instance, an attendee might prefer not to provide identification to court personnel and might be turned away as a result. In keeping with the doctrinal model already followed by the courts—applying “tiered scrutiny” to courtroom closures—conditional courtroom entry should be reviewed according to the most lenient of the tiers, rational basis scrutiny. A sliding scale should apply to public trial scrutiny, “Waller” scrutiny, the most demanding, when all are excluded. “Substantial reason” scrutiny, less demanding, should apply when some are excluded. Andrational basis scrutiny, much less demanding, should apply when no one need be excluded, but for their non-compliance with a general rule. A lesser standard should apply in the case of entry conditions because they differ from other closures and cause minimal prejudice to the purposes of the right to a public trial.