Transformada fraccional de Fourier en el caso de un plano imagen inclinado

The well-known Fresnel integral relates a known complex wave defined in the object plane (the input wave field) to the observable complex wave (the output wave field) defined in the image plane after free-space propagation; this means that if the object and image plane are parallel to each other, corresponding imaging system is said to be linear-shift-invariant (LSI). This advantageous property was essential for the development of phase sensitive imaging techniques; however, if the image plane is inclined with respect to the incident beam, the effective propagation distance will vary over the image plane, consequently, the imaging system is not shiftinvariant. In this paper an extension of the theoretical formalism of Fresnel diffraction to the case of an inclined image plane is proposed using the fractional Fourier transform.MSC: 33D15, 33D90, 33D60, 34M03,  62E15La conocida fórmula de difracción de Fresnel relaciona la distribución de amplitud compleja de una onda en el plano objeto (campo ondulatorio de entrada) con la distribución de amplitud compleja de la onda en el plano imagen(campo ondulatorio de salida) cuando se trata de propagación en el espaciolibre; esto significa que si los planos objeto e imagen son paralelos entre sí, el sistema imagen correspondiente se dice que es un sistema lineal invariantea desplazamiento (LSI). Esta propiedad ventajosa es esencial para el desarrollo de técnicas de imagen sensitivas a fase; sin embargo, si el plano imagen está inclinado con respecto al haz incidente, la distancia efectiva de propagación cambiará sobre el plano imagen, consecuentemente el sistema imagen será no invariante a desplazamiento. En este artículo es propuesta una extensión del formalismo de la difracción de Fresnel al caso de un plano imageninclinado utilizando la transformada de Fourier de orden fraccional.MSC: 33D15, 33D90, 33D60, 34M03,  62E1

Transformada fraccional de Fourier en el caso de un plano imagen inclinado

The well-known Fresnel diffraction formula relates the distribution of complex amplitude of a wave in the object plane (input wave field) with the distribution of complex wave amplitude in the image plane (output wave field) when it comes to propagation in space free; This means that if the object and image planes are parallel to each other, the corresponding image system is said to be a linear invariant displacement system (LSI). This advantageous property is essential for the development of phase sensitive imaging techniques; however, if the image plane is inclined with respect to the incident beam, the effective propagation distance will change over the image plane, consequently the image system will not be invariant to displacement. In this article, an extension of the Fresnel diffraction formalism to the case of an inclined image plane using the Fourier transform of fractional order is proposed.La conocida fórmula de difracción de Fresnel relaciona la distribución de amplitud compleja de una onda en el plano objeto (campo ondulatorio de entrada) con la distribución de amplitud compleja de la onda en el plano imagen(campo ondulatorio de salida) cuando se trata de propagación en el espaciolibre; esto significa que si los planos objeto e imagen son paralelos entre sí, el sistema imagen correspondiente se dice que es un sistema lineal invariantea desplazamiento (LSI). Esta propiedad ventajosa es esencial para el desarrollo de técnicas de imagen sensitivas a fase; sin embargo, si el plano imagen está inclinado con respecto al haz incidente, la distancia efectiva de propagación cambiará sobre el plano imagen, consecuentemente el sistema imagen será no invariante a desplazamiento. En este artículo es propuesta una extensión del formalismo de la difracción de Fresnel al caso de un plano imageninclinado utilizando la transformada de Fourier de orden fraccional

Mixed-Species allometric equations to quantify stem volume and tree biomass in Dry Afromontane Forest of Ethiopia.

ABSTRACT. Volume and biomass equations are essential tools to determine forest productivity and enable forest managers to make informed ecisions. However, volume and biomass estimation equations are scarce for Afromontane forests in Africa in general and Ethiopia in particular. This limits our knowledge of the standing volume of wood, biomass, and carbon stock of the forests there in. In this study, we developed a new mixed-species volume and biomass equations for Afromontane forests and compared them with generic pantropical and local models. A total of 193 sampled trees from seven dominant tree species were used to develop the equations. Various volume and biomass equations were fitted using robust linear and nonlinear regression. Model comparison indicated that the best model to estimate stem volume was ln (v) = -9.909 + 0.954 * ln (d2h), whereas the best model to estimate biomass was ln (b) = -2.983 + 0.949 *ln (pd2h). These equations explained over 85% of the variations in the stem volume and biomass measurements. The mean density and basal area of trees in the forest with d >/= 2 cm was 631.5 stems-ha -1 and 24.4 m 2 ha -1. Based on the newly developed equations, the forest has on average 303.0 m3 ha -1 standing volume of wood and 283.8 Mg.ha -1 biomass stock. The newly developed allometric equations derived from this study can be used to accurately determine the stem volume, biomass, and carbon storage in the Afromontane forests in Ethiopia and elsewhere with similar stand characteristics and ecological conditions. By contrast, the generic pan-tropical and other local models appear to provide biased estimates and are not suitable for dry Afromontane forests in Ethiopia. The estimated stem biomass and carbon stock in the Chilimo forest are comparable with the estimates from various tropical forests and woodlands elsewhere in Africa, indicating the importance of dry Afromontane forest for climate change mitigation

First-Line Ipatasertib, Atezolizumab, and Taxane Triplet for Metastatic Triple-Negative Breast Cancer: Clinical and Biomarker Results.

PURPOSE: To evaluate a triplet regimen combining immune checkpoint blockade, AKT pathway inhibition, and (nab-) paclitaxel as first-line therapy for locally advanced/metastatic triple-negative breast cancer (mTNBC). PATIENTS AND METHODS: The single-arm CO40151 phase Ib study (NCT03800836), the single-arm signal-seeking cohort of IPATunity130 (NCT03337724), and the randomized phase III IPATunity170 trial (NCT04177108) enrolled patients with previously untreated mTNBC. Triplet therapy comprised intravenous atezolizumab 840 mg (days 1 and 15), oral ipatasertib 400 mg/day (days 1-21), and intravenous paclitaxel 80 mg/m2 (or nab-paclitaxel 100 mg/m2; days 1, 8, and 15) every 28 days. Exploratory translational research aimed to elucidate mechanisms and molecular markers of sensitivity and resistance. RESULTS: Among 317 patients treated with the triplet, efficacy ranged across studies as follows: median progression-free survival (PFS) 5.4 to 7.4 months, objective response rate 44% to 63%, median duration of response 5.6 to 11.1 months, and median overall survival 15.7 to 28.3 months. The safety profile was consistent with the known toxicities of each agent. Grade ≥3 adverse events were more frequent with the triplet than with doublets or single-agent paclitaxel. Patients with PFS >10 months were characterized by NF1, CCND3, and PIK3CA alterations and increased immune pathway activity. PFS <5 months was associated with CDKN2A/CDKN2B/MTAP alterations and lower predicted phosphorylated AKT-S473 levels. CONCLUSIONS: In patients with mTNBC receiving an ipatasertib/atezolizumab/taxane triplet regimen, molecular characteristics may identify those with particularly favorable or unfavorable outcomes, potentially guiding future research efforts

Bioaccumulation and Toxicity of Organic Chemicals in Terrestrial Invertebrates

Terrestrial invertebrates are key components in ecosystems, with crucial roles in soil structure, functioning, and ecosystem services. The present chapter covers how terrestrial invertebrates are impacted by organic chemicals, focusing on up-to-date information regarding bioavailability, exposure routes and general concepts on bioaccumulation, toxicity, and existing models. Terrestrial invertebrates are exposed to organic chemicals through different routes, which are dependent on both the organismal traits and nature of exposure, including chemical properties and media characteristics. Bioaccumulation and toxicity data for several groups of organic chemicals are presented and discussed, attempting to cover plant protection products (herbicides, insecticides, fungicides, and molluscicides), veterinary and human pharmaceuticals, polycyclic aromatic compounds, polychlorinated biphenyls, flame retardants, and personal care products. Chemical mixtures are also discussed bearing in mind that chemicals appear simultaneously in the environment. The biomagnification of organic chemicals is considered in light of the consumption of terrestrial invertebrates as novel feed and food sources. This chapter highlights how science has contributed with data from the last 5 years, providing evidence on bioavailability, bioaccumulation, and toxicity derived from exposure to organic chemicals, including insights into the main challenges and shortcomings to extrapolate results to real exposure scenarios