Experimental and modeling of potassium diclofenac uptake on activated carbon.

The presence of pharmaceuticals in wastewater resulting from human activities has driven researchers to explore effective treatment methods such as adsorption using activated carbon (AC). While AC shows promise as an adsorbent, further studies are essential to comprehend its entire interaction with pharmaceuticals. This article investigates the adsorption of potassium diclofenac (PD) onto AC using experimental and modeling approaches. Batch adsorption studies coupled with Fourier transform infrared spectroscopy (FTIR) were employed to clarify the adsorption mechanism of PD on AC. Various kinetic and isotherm adsorption models were applied to analyze the adsorbent-adsorbate interaction. The kinetics were best described by Avrami's fractional order (AFO) nonlinear model. Also, the intraparticle diffusion (IP) model reveals a three-stage adsorption process. The experimental equilibrium data fitted well with the three-parameter nonlinear Liu model, indicating a maximum adsorption capacity (Qmax) of 88.45 mg g-1 and suggesting monolayer or multilayer adsorption. Thermodynamic analysis showed favorable adsorption (ΔG° < 0), with an enthalpy change (ΔH° = -30.85 kJ mol-1) characteristic of physisorption involving hydrogen bonds and π-π interactions. The adsorption mechanism was attributed to forming a double layer (adsorbate-adsorbent and adsorbate-adsorbate).

A Metric Based on the Efficient Determination Criterion.

This paper extends the concept of metrics based on the Bayesian information criterion (BIC), to achieve strongly consistent estimation of partition Markov models (PMMs). We introduce a set of metrics drawn from the family of model selection criteria known as efficient determination criteria (EDC). This generalization extends the range of options available in BIC for penalizing the number of model parameters. We formally specify the relationship that determines how EDC works when selecting a model based on a threshold associated with the metric. Furthermore, we improve the penalty options within EDC, identifying the penalty ln(ln(n)) as a viable choice that maintains the strongly consistent estimation of a PMM. To demonstrate the utility of these new metrics, we apply them to the modeling of three DNA sequences of dengue virus type 3, endemic in Brazil in 2023.

An Efficient Coding Technique for Stochastic Processes.

In the framework of coding theory, under the assumption of a Markov process (Xt) on a finite alphabet A, the compressed representation of the data will be composed of a description of the model used to code the data and the encoded data. Given the model, the Huffman's algorithm is optimal for the number of bits needed to encode the data. On the other hand, modeling (Xt) through a Partition Markov Model (PMM) promotes a reduction in the number of transition probabilities needed to define the model. This paper shows how the use of Huffman code with a PMM reduces the number of bits needed in this process. We prove the estimation of a PMM allows for estimating the entropy of (Xt), providing an estimator of the minimum expected codeword length per symbol. We show the efficiency of the new methodology on a simulation study and, through a real problem of compression of DNA sequences of SARS-CoV-2, obtaining in the real data at least a reduction of 10.4%.

Modelización de la captura y fases de desarrollo de la pesquería de la jaiba azul (Callinectes sapidus) en la Laguna Madre, Tamaulipas, México / Modelling the catch and development phases of the blue crab fishery (Callinectes sapidus) in the Laguna Madre, Tamaulipas, México

RESUMEN La captura promedio anual de la pesquería de la jaiba azul (Callinectes sapidus) (JA) en Tamaulipas, México se estima en 2 733 T, de la cual, el 82 % se pesca en la Laguna Madre, sitio que se considera aprovechado al máximo de su capacidad. El objetivo de la presente investigación fue modelar la captura anual de la JA en la Laguna Madre, Tamaulipas, mediante el ajuste de funciones matemáticas de tipo lineal y no lineal (o curvilínea), a la serie de tiempo de 1998 a 2012, además de identificar las fases de desarrollo de la pesquería, de acuerdo a varios modelos generalizados. Se utilizó el enfoque de la teoría de la información y el procedimiento de la inferencia multimodelo (IMM). Se ajustaron 11 modelos de regresión lineal y no lineal. Para la selección de modelos se utilizaron los criterios de información Akaike corregido (CIAc) y bayesiano (CIB). Para el IMM se consideró el nivel ∆i <2de plausibilidad de CIAc y CIB. Los modelos elegidos para el IMM fueron compuesto, crecimiento, exponencial, logístico, potencial y el sigmoideo, considerándose como más adecuados los primeros cuatro modelos citados. Los modelos promedio del IMM presentaron valores de β 0 y β 1 de 0.939 y 0.377 respectivamente, según CIAc; y de 0.952 y 0.344 respectivamente, de acuerdo al CIB. Solo los modelos compuesto y logístico mostraron significancia estadística en sus dos parámetros de regresión (β 0 y β 1). El índice de sustentabilidad pesquera reveló seis periodos de la captura y una disminución en magnitud de los cambios de la captura. La serie de datos analizada incluye dos ciclos de vida de acuerdo a los modelos de Csirke y Caddy. Los resultados mostraron que al final del periodo estudiado la pesquería se encontraba en colapso y decadencia.

ABSTRACT The average annual catch of the blue crab (Callinectes sapidus) (BC) fishery in Tamaulipas, Mexico is estimated at 2 733 T, of which the 82 % is caught in the Laguna Madre, which is considered to be exploited to the maximum of its capacity. The objective of the present investigation was to model the annual catch of the BC in the Laguna Madre, Tamaulipas, by adjusting mathematical functions of the linear and nonlinear (or curvilinear) type, to the time series from 1998 to 2012. In addition, the phases of development of the fishery, according to several generalized models, were identified. We used the information theory approach and multimodel inference procedure (MMI). Eleven linear and nonlinear regression models were fitted. For the selection of models, the corrected Akaike corrected (AICc) and Ba-yesian (BIC) information criteria were used. For the MMI, the level ∆i < 2 of plausibility of AICc and BIC was considered. The models chosen for the MMI were compound, growth, exponential, logistic, potential and the sigmoid, with the first four models being considered the most suitable of all those cited. The average models of the MMI presented values of β 0 and β 1: 0.939 and 0.377 respectively, according to CIAc; and 0.952 and 0.344 respectively, according to the CIB. Only the composite and logistic models showed statistical significance in their two regression parameters (β 0 and β 1). The fishery sustainability index revealed six catch periods and a decrease in magnitude of catch changes. The data series analyzed includes two life cycles according to the Csirke and Caddy models. The results showed that at the end of the studied period the fishery was in collapse and decay.

Crossing the Divide: Admixture Across the Antarctic Polar Front Revealed by the Brittle Star Astrotoma agassizii.

The Antarctic Polar Front (APF) is one of the most well-defined and persistent oceanographic features on the planet and serves as a barrier to dispersal between the Southern Ocean and lower latitudes. High levels of endemism in the Southern Ocean have been attributed to this barrier, whereas the accompanying Antarctic Circumpolar Current (ACC) likely promotes west-to-east dispersal. Previous phylogeographic work on the brittle star Astrotoma agassizii Lyman, 1875 based on mitochondrial genes suggested isolation across the APF, even though populations in both South American waters and the Southern Ocean are morphologically indistinguishable. Here, we revisit this finding using a high-resolution 2b-RAD (restriction-site-associated DNA) single-nucleotide polymorphism (SNP)-based approach, in addition to enlarged mitochondrial DNA data sets (16S rDNA, COI, and COII), for comparison to previous work. In total, 955 biallelic SNP loci confirmed the existence of strongly divergent populations on either side of the Drake Passage. Interestingly, genetic admixture was detected between South America and the Southern Ocean in five individuals on both sides of the APF, revealing evidence of recent or ongoing genetic contact. We also identified two differentiated populations on the Patagonian Shelf with six admixed individuals from these two populations. These findings suggest that the APF is a strong but imperfect barrier. Fluctuations in location and strength of the APF and ACC due to climate shifts may have profound consequences for levels of admixture or endemism in this region of the world.