Carbon mapping in pine-oak stands under timber management in southern Mexico.

The destructive and empirical methods commonly used to estimate carbon pools in forests managed timber are time-consuming, expensive and unfeasible at a large scale; satellite images allow evaluations at different scales, reducing time and costs. The objective of this study was to evaluate the tree biomass (TB) and carbon content (CC) through satellite images derived from Sentinel 2 in underutilized stands in southern Mexico. In 2022, 12 circular sites of 400 m2 with four silvicultural treatments (STs) were established in a targeted manner: 1st thinning (T1), free thinning (FT), regeneration cut (RC) and unmanaged area (UA). A tree inventory was carried out, and samples were obtained to determine their TB based on specific gravity and CC through the Walkey and Black method. The satellite image of the study area was downloaded from Sentinel 2 to fit a simple linear model as a function of the Normalized Difference Vegetation Index (10 m pixel-1) showing significance (p ≤ 0.01) and a adjusted R2 = 0.92. Subsequently, the TB and CC (t ha-1) were estimated for each ST and managed area. The total managed area (3,201 ha-1) had 126 t TB ha-1 and 57 t C ha-1. Of the areas with STs, the area with FT showed the highest accumulation of TB (140 t ha-1) and C (63 t ha-1) without showing differences (p > 0.05) with respect to those of the UA, which presented 129 t TB ha-1 and 58 t C ha-1. The satellite images from Sentinel 2 provide reliable estimates of the amounts of TB and CC in the managed stands. Therefore, it can be concluded that an adequate application of STs maintains a balance in the accumulation of tree C.

Contribution of viral and bacterial infections to senescence and immunosenescence.

Cellular senescence is a key biological process characterized by irreversible cell cycle arrest. The accumulation of senescent cells creates a pro-inflammatory environment that can negatively affect tissue functions and may promote the development of aging-related diseases. Typical biomarkers related to senescence include senescence-associated ß-galactosidase activity, histone H2A.X phosphorylation at serine139 (γH2A.X), and senescence-associated heterochromatin foci (SAHF) with heterochromatin protein 1γ (HP-1γ protein) Moreover, immune cells undergoing senescence, which is known as immunosenescence, can affect innate and adaptative immune functions and may elicit detrimental effects over the host's susceptibility to infectious diseases. Although associations between senescence and pathogens have been reported, clear links between both, and the related molecular mechanisms involved remain to be determined. Furthermore, it remains to be determined whether infections effectively induce senescence, the impact of senescence and immunosenescence over infections, or if both events coincidently share common molecular markers, such as γH2A.X and p53. Here, we review and discuss the most recent reports that describe cellular hallmarks and biomarkers related to senescence in immune and non-immune cells in the context of infections, seeking to better understand their relationships. Related literature was searched in Pubmed and Google Scholar databases with search terms related to the sections and subsections of this review.

Quasicriticality explains variability of human neural dynamics across life span.

Aging impacts the brain's structural and functional organization and over time leads to various disorders, such as Alzheimer's disease and cognitive impairment. The process also impacts sensory function, bringing about a general slowing in various perceptual and cognitive functions. Here, we analyze the Cambridge Centre for Ageing and Neuroscience (Cam-CAN) resting-state magnetoencephalography (MEG) dataset-the largest aging cohort available-in light of the quasicriticality framework, a novel organizing principle for brain functionality which relates information processing and scaling properties of brain activity to brain connectivity and stimulus. Examination of the data using this framework reveals interesting correlations with age and gender of test subjects. Using simulated data as verification, our results suggest a link between changes to brain connectivity due to aging and increased dynamical fluctuations of neuronal firing rates. Our findings suggest a platform to develop biomarkers of neurological health.

Role of Epitranscriptomic and Epigenetic Modifications during the Lytic and Latent Phases of Herpesvirus Infections.

Herpesviruses are double-stranded DNA viruses occurring at a high prevalence in the human population and are responsible for a wide array of clinical manifestations and diseases, from mild to severe. These viruses are classified in three subfamilies (Alpha-, Beta- and Gammaherpesvirinae), with eight members currently known to infect humans. Importantly, all herpesviruses can establish lifelong latent infections with symptomatic or asymptomatic lytic reactivations. Accumulating evidence suggest that chemical modifications of viral RNA and DNA during the lytic and latent phases of the infections caused by these viruses, are likely to play relevant roles in key aspects of the life cycle of these viruses by modulating and regulating their replication, establishment of latency and evasion of the host antiviral response. Here, we review and discuss current evidence regarding epitranscriptomic and epigenetic modifications of herpesviruses and how these can influence their life cycles. While epitranscriptomic modifications such as m6A are the most studied to date and relate to positive effects over the replication of herpesviruses, epigenetic modifications of the viral genome are generally associated with defense mechanisms of the host cells to suppress viral gene transcription. However, herpesviruses can modulate these modifications to their own benefit to persist in the host, undergo latency and sporadically reactivate.

Interacciones potenciales parásito-hospedero entre el escarabajo Dendroctonus (Coleoptera: Scolytidae) y Pinus (Pinaceae) en México / Potential parasite-host interactions between Dendroctonus (Coleoptera: Scolytidae) beetle and Pinus (Pinaceae) in Mexico

Resumen Introducción: La relación parásito-hospedero entre Dendroctonus y Pinus es reconocida como una amenaza importante para los bosques de coníferas, debido a que puede causar una alta mortalidad de árboles y consecuentemente una pérdida de cobertura forestal. Objetivo: Identificar potenciales interacciones parásito-huésped entre descortezadores y pinos, así como la contribución de las condiciones ambientales para el establecimiento de estas interacciones ecológicas. Métodos: Se realizaron modelos de nicho ecológico y análisis de redes ecológicas con la plataforma web de minería de datos espaciales SPECIES (http://species.conabio.gob.mx/). Se incluyeron siete especies de descortezadores, 52 de pinos y 19 variables bioclimáticas del portal WorldClim. Resultados: Se identificaron 140 interacciones potenciales, de las cuales el 42 % no han sido registradas previamente. El análisis de redes ecológicas nos permitió caracterizar las relaciones parásito-hospedero en generalistas y especialistas. En cuanto al análisis de nicho ecológico, se determinó la distribución potencial de los descortezadores combinando las distribuciones de Pinus y variables climáticas como predictores. Se observó que las variables climáticas contribuyen de forma negativa para la mayoría de las especies de Dendroctonus, es decir, estas variables son restrictivas en casi toda su distribución, por el contrario, las variables bióticas (Pinus) fueron positivas e informativas sobre la mayoría de las distribuciones. Conclusiones: Los patrones de coexistencia de descortezadores y pinos nos proporcionan información sobre las interacciones que se pueden establecer entre estas especies y que hasta hoy pueden ser desconocidas. Además, la integración de factores bióticos (hospederos) y abióticos (clima), permite obtener modelos de distribución geográfica que caracteriza las regiones con condiciones favorables para la presencia de las especies, así como las especies de hospederos con los que podrían estar interactuando en dichas regiones. Considerando el riesgo fitosanitario por descortezadores, nuestros resultados brindan escenarios geográficos y ecológicos de riesgo donde infestaciones por descortezadores podrían darse, así como la posible emergencia de nuevas interacciones parásito-hospedero desconocidas hasta hoy. Estos modelos son una herramienta que en el futuro pueden dirigir esfuerzos de trabajo de campo para validar y complementar nuestros resultados.

Abstract Introduction: The parasite-host relationship between bark beetles of the genus Dendroctonus and species of the genus Pinus has been recognized as important threat to coniferous forests because it can cause high tree mortality and therefore a loss of forests. Objectives: We aimed to identify the potential unknown parasite-host relationships among bark beetles and pine trees species, as well as the contribution of environmental conditions as driver of these ecological interactions. Methods: We carried out ecological niche models and ecological network analysis using the spatial datamining platform SPECIES (http://species.conabio.gob.mx/). Our study included seven species of bark beetles, 52 species of the genus Pinus, and 19 bioclimatic variables from Worldclim dataset. Results: We identified 140 potential interactions between Dendroctonus and Pinus species, of which 42 % have not been previously registered. Complex inference network analysis allowed us to characterize ecological parasite-host interactions in generalists and specialists. Regarding the ecological niche analysis, we determined potential bark beetle distributions by combining Pinus species ranges and climatic variables as predictors. We noted that climatic variables contributed negatively to Dendroctonus distribution for the most species, i.e. these abiotic variables are restrictive in almost the entire distribution of the beetles; conversely, biotic variables (i.e. Pinus species) were positive and informative on the most of species ranges. Conclusions: Coexistence patterns of bark beetles and Pinus provide us information on the interactions that are able to establish among these species and that until now can be unknown. In addition, integrating biotic (hosts) and abiotic (climate) factors, allows us to obtain geographic distribution models that characterize the regions with favorable conditions for the presence of bark beetles, as well as the host species with which they could be interacting in those regions. Considering the phytosanitary risk due to bark beetles, our results provide geographic and ecological scenarios where bark beetles infestations may occur, as well as the possible emergence of new parasite-host interactions. These models can be a tool to address future fieldwork efforts to validate and complement our results.

Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology.

We introduce the concept of a Floquet gauge pump whereby a dynamically engineered Floquet Hamiltonian is employed to reveal the inherent degeneracy of the ground state in interacting systems. We demonstrate this concept in a one-dimensional XY model with periodically driven couplings and transverse field. In the high-frequency limit, we obtain the Floquet Hamiltonian consisting of the static XY and dynamically generated Dzyaloshinsky-Moriya interaction (DMI) terms. The dynamically generated magnetization current depends on the phases of complex coupling terms, with the XY interaction as the real and DMI as the imaginary part. As these phases are cycled, the current reveals the ground-state degeneracies that distinguish the ordered and disordered phases. We discuss experimental requirements needed to realize the Floquet gauge pump in a synthetic quantum spin system of interacting trapped ions.

Evidence for Quasicritical Brain Dynamics.

Much evidence seems to suggest the cortex operates near a critical point, yet a single set of exponents defining its universality class has not been found. In fact, when critical exponents are estimated from data, they widely differ across species, individuals of the same species, and even over time, or depending on stimulus. Interestingly, these exponents still approximately hold to a dynamical scaling relation. Here we show that the theory of quasicriticality, an organizing principle for brain dynamics, can account for this paradoxical situation. As external stimuli drive the cortex, quasicriticality predicts a departure from criticality along a Widom line with exponents that decrease in absolute value, while still holding approximately to a dynamical scaling relation. We use simulations and experimental data to confirm these predictions and describe new ones that could be tested soon.

Certified Quantum Measurement of Majorana Fermions.

We present a quantum self-testing protocol to certify measurements of fermion parity involving Majorana fermion modes. We show that observing a set of ideal measurement statistics implies anti-commutativity of the implemented Majorana fermion parity operators, a necessary prerequisite for Majorana detection. Our protocol is robust to experimental errors. We obtain lower bounds on the fidelities of the state and measurement operators that are linear in the errors. We propose to analyze experimental outcomes in terms of a contextuality witness W, which satisfies 〈W〉 ≤ 3 for any classical probabilistic model of the data. A violation of the inequality witnesses quantum contextuality, and the closeness to the maximum ideal value 〈W〉 = 5 indicates the degree of confidence in the detection of Majorana fermions.

Local Two-Body Parent Hamiltonians for the Entire Jain Sequence.

Using an algebra of second-quantized operators, we develop local two-body parent Hamiltonians for all unprojected Jain states at filling factor n/(2np+1), with integer n and (half-)integer p. We rigorously establish that these states are uniquely stabilized and that zero mode counting reproduces mode counting in the associated edge conformal field theory. We further establish the organizing "entangled Pauli principle" behind the resulting zero mode paradigm and unveil an emergent SU(n) symmetry characteristic of the fixed point physics of the Jain quantum Hall fluid.

Universality Classes of Stabilizer Code Hamiltonians.

Stabilizer code quantum Hamiltonians have been introduced with the intention of physically realizing a quantum memory because of their resilience to decoherence. In order to analyze their finite temperature thermodynamics, we show how to generically solve their partition function using duality techniques. By unveiling each model's universality class and effective dimension, insights may be gained on their finite temperature dynamics and robustness. Our technique is demonstrated in particular on the 4D toric code and Haah's code; we find that the former falls into the 4D Ising universality class, whereas Haah's code exhibits dimensional reduction and falls into the 1D Ising universality class.

Tipo de entrenamiento y momento de elaboración de descripciones poscontacto contingencial en tareas de igualación de la muestra / Tipo de treinamento e momento de elaboração de descrições pós-contato contingencial em tarefas de igualação da amostra / Training type and moment of elaboration of post-contact descriptions in a matching-to-sample task

Resumen En el presente trabajo se evaluó el efecto de distintos tipos de entrenamiento sobre (a) la ejecución en pruebas de aprendizaje y transferencia, y (b) la elaboración de descripciones poscontacto en una tarea de discriminación condicional de segundo orden. Con este fin, se asignaron 16 participantes a cuatro grupos; la fase de entrenamiento para los grupos 1 y 3 consistió en la observación de una tarea de discriminación condicional de segundo orden en la que las respuestas de igualación fueron resaltadas con un marco rojo y se indicó, para cada ensayo, si eran acertadas o erróneas (entrenamiento observacional), mientras que para los participantes de los grupos 2 y 4 la tarea consistió en emitir una respuesta explícita de igualación ensayo por ensayo (entrenamiento instrumental). Adicionalmente, se le pidió a los participantes de los grupos 3 y 4 que realizaran una descripción de las contingencias enfrentadas cada doce ensayos, y al finalizar la tarea completa se le pidió a todos los participantes que elaboraran una descripción similar. Como resultado, los participantes de los grupos que estuvieron bajo entrenamiento observacional presentaron el mayor porcentaje de aciertos en las pruebas de aprendizaje y transferencia, además de que elaboraron descripciones poscontacto más específicas y pertinentes que los individuos de los grupos restantes. Estos resultados sugieren que el aprendizaje mediante la observación puede darse incluso si el observador no es expuesto directamente a la ejecución de la respuesta de otro individuo, es decir, aun cuando las respuestas reforzadas se presenten solo de manera gráfica.

Resumo Neste trabalho, foi avaliado o efeito de diferentes tipos de treinamento sobre a execução em testes de aprendizagem e transferência e a elaboração de descrições pós-contato numa tarefa de discriminação condicional de segunda ordem. Com esse objetivo, foram designados 16 participantes a quatro grupos. A fase de treinamento para os participantes dos grupos 1 e 3 consistiu na observação de uma tarefa de discriminação condicional de segunda ordem na qual as respostas de igualação foram ressaltadas com um sinal vermelho e foi indicado, para cada ensaio, se eram acertadas ou errôneas (treinamento observacional). Nessa mesma fase, para os participantes dos grupos 2 e 4, a tarefa consistiu em emitir uma resposta explícita de igualação ensaio por ensaio (treinamento instrumental). Além disso, foi pedido aos participantes dos grupos 3 e 4 que realizassem uma descrição das contingências enfrentadas a cada doze ensaios. Ao finalizar a tarefa, foi solicitado a todos os participantes que elaborassem uma descrição semelhante. Como resultado, os participantes dos grupos que estiveram sob o treinamento observacional apresentaram maior porcentagem de acertos nos testes de aprendizagem e transferência, e elaboraram descrições pós-contato mais específicas e pertinentes do que os indivíduos dos demais grupos. Esses resultados sugerem que a aprendizagem mediante a observação pode acontecer inclusive se o observador não for exposto diretamente à execução da resposta de outro indivíduo, isto é, ainda quando as respostas reforçadas forem apresentadas somente de maneira gráfica.

Abstract The effects of different types of training over a) performance on learning and transfer tasks, and b) generation of post-contact descriptions in a second order matching-to-sample task were assessed. 16 participants were randomly assigned to one of four experimental groups. During the training phase, the requirement for participants in groups 1 and 3 consisted of the observation of a conditional discrimination task in which matching responses were highlighted with a red frame and indicated, for each trial, whether they were right or wrong (observational training). During this same phase, the task for participants in groups 2 and 4 was to produce, trial by trial, an explicit matching response (instrumental training). Additionally, participants in groups 3 and 4 were required to write a description of the contingencies every twelve trials. After the task, all participants were requested to develop a similar description. Participants of groups that were under observational training had the highest percentage of correct answers on learning and transfer tests. Similarly, they produced more specific rules than individuals from other groups. These results suggest that learning by observation can occur even if the viewer is not directly exposed to responses of another individual, that is, even when reinforced responses are simply presented graphically.

Binomial Spin Glass.

To establish a unified framework for studying both discrete and continuous coupling distributions, we introduce the binomial spin glass, a class of models where the couplings are sums of m identically distributed Bernoulli random variables. In the continuum limit m→∞, the class reduces to one with Gaussian couplings, while m=1 corresponds to the ±J spin glass. We demonstrate that for short-range Ising models on d-dimensional hypercubic lattices the ground-state entropy density for N spins is bounded from above by (sqrt[d/2m]+1/N)ln2, and further show that the actual entropies follow the scaling behavior implied by this bound. We thus uncover a fundamental noncommutativity of the thermodynamic and continuous coupling limits that leads to the presence or absence of degeneracies depending on the precise way the limits are taken. Exact calculations of defect energies reveal a crossover length scale L^{*}(m)∼L^{κ} below which the binomial spin glass is indistinguishable from the Gaussian system. Since κ=-1/(2θ), where θ is the spin-stiffness exponent, discrete couplings become irrelevant at large scales for systems with a finite-temperature spin-glass phase.

Factors predicting success after microsurgical vasovasostomy.

PURPOSE: To identify factors predicting success and analyze critically the status of microsurgical double-layer vasovasostomy using predictive models. METHODS: A cohort of 263 patients treated at our institution for vasectomy reversal between 1986 and 2010 was included in our study, and the literature was reviewed. Inclusion criteria were previous bilateral vasectomy and presence of at least two postoperative semen analyses; patients reporting pregnancy without a postoperative semen analysis were excluded. A double-layer, microscope-assisted, tension-free anastomosis vasovasostomy was performed approximating mucosa to mucosa and muscle to muscle with a 10-0 non-absorbable suture. A multivariate logistic regression backward stepwise model was used to predict combined success, and a predictive model was calculated with remaining variables. RESULTS: Mean age was of 41.6 years (SD 7.1); mean duration of obstruction 7.2 years (SD 6.7). On multivariate analysis, uni- or bilateral granuloma and Silber grade of I-III were variable identified predicting higher probability to success (OR 3.105; 95% CI 1.108-8.702; p = 0.031 and OR 4.795; 95% CI 2.117-10.860; p < 0.001, respectively). CONCLUSIONS: Based on our results, some factors predicting success after vasovasostomy surgery are known but others remain unknown; our predictive model may easily predict patency and success after this surgery and offers a concrete assistance in counseling patients.

The Toll pathway underlies host sexual dimorphism in resistance to both Gram-negative and Gram-positive bacteria in mated Drosophila.

BACKGROUND: Host sexual dimorphism is being increasingly recognized to generate strong differences in the outcome of infectious disease, but the mechanisms underlying immunological differences between males and females remain poorly characterized. Here, we used Drosophila melanogaster to assess and dissect sexual dimorphism in the innate response to systemic bacterial infection. RESULTS: We demonstrated sexual dimorphism in susceptibility to infection by a broad spectrum of Gram-positive and Gram-negative bacteria. We found that both virgin and mated females are more susceptible than mated males to most, but not all, infections. We investigated in more detail the lower resistance of females to infection with Providencia rettgeri, a Gram-negative bacterium that naturally infects D. melanogaster. We found that females have a higher number of phagocytes than males and that ablation of hemocytes does not eliminate the dimorphism in resistance to P. rettgeri, so the observed dimorphism does not stem from differences in the cellular response. The Imd pathway is critical for the production of antimicrobial peptides in response to Gram-negative bacteria, but mutants for Imd signaling continued to exhibit dimorphism even though both sexes showed strongly reduced resistance. Instead, we found that the Toll pathway is responsible for the dimorphism in resistance. The Toll pathway is dimorphic in genome-wide constitutive gene expression and in induced response to infection. Toll signaling is dimorphic in both constitutive signaling and in induced activation in response to P. rettgeri infection. The dimorphism in pathway activation can be specifically attributed to Persephone-mediated immune stimulation, by which the Toll pathway is triggered in response to pathogen-derived virulence factors. We additionally found that, in absence of Toll signaling, males become more susceptible than females to the Gram-positive Enterococcus faecalis. This reversal in susceptibility between male and female Toll pathway mutants compared to wildtype hosts highlights the key role of the Toll pathway in D. melanogaster sexual dimorphism in resistance to infection. CONCLUSION: Altogether, our data demonstrate that Toll pathway activity differs between male and female D. melanogaster in response to bacterial infection, thus identifying innate immune signaling as a determinant of sexual immune dimorphism.

Stochastic variation in the initial phase of bacterial infection predicts the probability of survival in D. melanogaster.

A central problem in infection biology is understanding why two individuals exposed to identical infections have different outcomes. We have developed an experimental model where genetically identical, co-housed Drosophila given identical systemic infections experience different outcomes, with some individuals succumbing to acute infection while others control the pathogen as an asymptomatic persistent infection. We found that differences in bacterial burden at the time of death did not explain the two outcomes of infection. Inter-individual variation in survival stems from variation in within-host bacterial growth, which is determined by the immune response. We developed a model that captures bacterial growth dynamics and identifies key factors that predict the infection outcome: the rate of bacterial proliferation and the time required for the host to establish an effective immunological control. Our results provide a framework for studying the individual host-pathogen parameters governing the progression of infection and lead ultimately to life or death.

Diazirines as Potential Molecular Imaging Tags: Probing the Requirements for Efficient and Long-Lived SABRE-Induced Hyperpolarization.

Diazirines are an attractive class of potential molecular tags for magnetic resonance imaging owing to their biocompatibility and ease of incorporation into a large variety of molecules. As recently reported, 15 N2 -diazirine can be hyperpolarized by the SABRE-SHEATH method, sustaining both singlet and magnetization states, thus offering a path to long-lived polarization storage. Herein, we show the generality of this approach by illustrating that the diazirine tag alone is sufficient for achieving excellent signal enhancements with long-lasting polarization. Our investigations reveal the critical role of Lewis basic additives, including water, on achieving SABRE-promoted hyperpolarization. The application of this strategy to a 15 N2 -diazirine-containing choline derivative demonstrates the potential of 15 N2 -diazirines as molecular imaging tags for biomedical applications.

Direct Hyperpolarization of Nitrogen-15 in Aqueous Media with Parahydrogen in Reversible Exchange.

Signal amplification by reversible exchange (SABRE) is an inexpensive, fast, and even continuous hyperpolarization technique that uses para-hydrogen as hyperpolarization source. However, current SABRE faces a number of stumbling blocks for translation to biochemical and clinical settings. Difficulties include inefficient polarization in water, relatively short-lived 1H-polarization, and relatively limited substrate scope. Here we use a water-soluble polarization transfer catalyst to hyperpolarize nitrogen-15 in a variety of molecules with SABRE-SHEATH (SABRE in shield enables alignment transfer to heteronuclei). This strategy works in pure H2O or D2O solutions, on substrates that could not be hyperpolarized in traditional 1H-SABRE experiments, and we record 15N T1 relaxation times of up to 2 min.

Generalizing, Extending, and Maximizing Nitrogen-15 Hyperpolarization Induced by Parahydrogen in Reversible Exchange.

Signal Amplification by Reversible Exchange (SABRE) is a fast and convenient NMR hyperpolarization method that uses cheap and readily available para-hydrogen as a hyperpolarization source. SABRE can hyperpolarize protons and heteronuclei. Here we focus on the heteronuclear variant introduced as SABRE-SHEATH (SABRE in SHield Enables Alignment Transfer to Heteronuclei) and nitrogen-15 targets in particular. We show that 15N-SABRE works more efficiently and on a wider range of substrates than 1H-SABRE, greatly generalizing the SABRE approach. In addition, we show that nitrogen-15 offers significantly extended T1 times of up to 12 minutes. Long T1 times enable higher hyperpolarization levels but also hold the promise of hyperpolarized molecular imaging for several tens of minutes. Detailed characterization and optimization are presented, leading to nitrogen-15 polarization levels in excess of 10% on several compounds.

Direct and Selective 3-Amidation of Indoles Using Electrophilic N-[(Benzenesulfonyl)oxy]amides.

Selective C-H amidation of 1H-indoles at the C3 position is reported as a direct entry to biologically important 3-aminoindoles. This transformation is achieved using novel N-[(benzenesulfonyl)oxy]amides as electrophilic nitrogen agents in the presence of ZnCl2. Interestingly, analogous reactions in the absence of ZnCl2 resulted in the formation of indole aminal products.

Exact Solution of Quadratic Fermionic Hamiltonians for Arbitrary Boundary Conditions.

We present a procedure for exactly diagonalizing finite-range quadratic fermionic Hamiltonians with arbitrary boundary conditions in one of D dimensions, and periodic in the remaining D-1. The key is a Hamiltonian-dependent separation of the bulk from the boundary. By combining information from the two, we identify a matrix function that fully characterizes the solutions, and may be used to construct an efficiently computable indicator of bulk-boundary correspondence. As an illustration, we show how our approach correctly describes the zero-energy Majorana modes of a time-reversal-invariant s-wave two-band superconductor in a Josephson ring configuration, and predicts that a fractional 4π-periodic Josephson effect can only be observed in phases hosting an odd number of Majorana pairs per boundary.