Number Of Fractions Research Articles

Conditional Fractional Matching Preclusion Number of Graphs

The conditional fractional matching preclusion number (CFMP number for short) [Formula: see text] of a graph [Formula: see text] is the minimum number of edges whose deletion results in a graph without isolated vertices and without fractional perfect matchings. In this paper, we study the CFMP number of complete graphs, complete bipartite graphs and twisted cubes. Also, we give Nordhaus–Gaddum-type results for the CFMP numbers of general graphs.

Fermion-monopole scattering in the Standard Model

We study the scattering of fermions off ’t Hooft lines in the Standard Model. A long-standing paradox suggests that the outgoing fermions necessarily carry fractional quantum numbers. In a previous paper, we resolved this paradox in the context of a number of toy models where we showed that the outgoing radiation is created by operators that are attached to a co-dimension 1 topological surface. This shifts the quantum numbers of the outgoing states associated to non-anomalous symmetries to be integer valued as required, while the quantum numbers associated to anomalous symmetries are fractional. Here we apply these ideas to the Standard Model.

Hypofractionated stereotactic radiotherapy for brain metastases in lung cancer patients: dose‒response effect and toxicity

BackgroundLung cancer is a common cause of brain metastases, approximately 40% of patients with lung cancer will develop brain metastases at some point during their disease. Hypofractionated stereotactic radiotherapy (HSRT) has been demonstrated to be effective in controlling limited brain metastases. However, there is still no conclusive on the optimal segmentation of HSRT. The aim of our study was to explore the correlation between the HSRT dosage and its treatment effect and toxicity.MethodsA retrospective analysis was conducted on patients with non-small cell lung cancer (NSCLC) brain metastasis at Hangzhou Cancer Hospital from 1 January 2019 to 1 January 2021. The number of brain metastases did not exceed 10 in all patients and the number of fractions of HSRT was 5. The prescription dose ranges from 25 to 40 Gy. The Kaplan–Meier method was used for estimation of the localised intracranial control rate (iLC). Adverse radiation effects (AREs) were evaluated according to CTCAE 5.0. This study was approved by the Institutional Ethics Review Board of the Hangzhou Cancer Hospital (#73/HZCH-2022).ResultsForty eligible patients with a total of 70 brain metastases were included in this study. The 1-year iLC was 76% and 89% in the prescribed dose ≤ 30 Gy and > 30 Gy group, respectively (P < 0.05). For patients treated with HSRT combined with targeted therapy, immunotherapy and chemotherapy, the 1-year iLC was 89%, 100%, and 45%, respectively. No significant associations were observed between the number, maximum diameter, location, and type of pathology of brain metastases. The rate of all-grade AREs was 33%. Two patients who received a total dose of 40 Gy developed grade 3 headache, the rest of the AREs were grade 1–2.ConclusionsIncreasing the prescription dose of HSRT improves treatment effect but may also exacerbate the side effects. Systemic therapy might impact the iLC rate, and individualized treatment regimens need to be developed.

Selective complex fractionated atrial electrogram ablation based on the number-of-fractionation for persistent atrial fibrillation refractory to pulmonary vein isolation.

Previous studies have suggested that the prolonged or highly fractionated electrograms during atrial fibrillation (AF) are closely related to the reentrant driver regions. We hypothesized that exploration and ablation of these critical complex atrial fractionated electrograms (CFAE) may improve the outcome of persistent AF (PeAF) refractory to conventional PVI. A total of 73 PeAF patients with residual inducibility or failed cardioversions of AF after PVI were enrolled and underwent number-of-fractionation mapping (NFM) by counting the number of fractionations in 2.5s at each of the points using the CARTO3 (ICL mode) and EnSite (fractionation map) systems. After NFM, selective CFAE ablation (NFM-CA) targeting the sites of the upper 40% of the counted fraction number (NF40) was performed as an additional procedure for refractory PeAF. We investigated the prognosis of these patients within 24months after the index ablation procedure and the relationship between changes in activation patterns during the ablation procedure and their prognosis. We also performed a propensity score-matched analysis comparing these patients with historical controls (HC) to identify the optimal indications for NFM-CA. The AF/AT free survival rate was 79.1% at 12months and 56.7% at 24months. Patients with AF termination or AF cycle length prolongation > 21ms during the procedure had significantly better AF/AT-free survival rates than those without notable activation changes (87.7% vs. 69.0%, logrank p = 0.028). After propensity-matched analysis, AF/AT-free survival showed comparable results between the two groups (1year; NFM 72.1% vs. HC 77.1%, logrank p = 0.649). NFM-CA is a versatile and less invasive adjunctive procedure for patients with PVI-refractory PeAF who showed a comparable prognosis to patients with PVI-compliant PeAF. In particular, remarkable activation changes during the procedure (AFCL prolongation > 21ms or acute termination) suggest a favorable prognosis.

Association of increasing gross tumor volume dose with tumor volume reduction and local control in fractionated stereotactic radiosurgery for unresected brain metastases

BackgroundFractionated stereotactic radiosurgery (fSRS) is an important treatment strategy for unresected brain metastases. We previously reported that a good volumetric response 6 months after fSRS can be the first step for local control. Few studies have reported the association between gross tumor volume (GTV) dose, volumetric response, and local control in patients treated with the same number of fractions. Therefore, in this study, we aimed to investigate the GTV dose and volumetric response 6 months after fSRS in five daily fractions and identify the predictive GTV dose for local failure (LF) for unresected brain metastasis.MethodsThis retrospective study included 115 patients with 241 unresected brain metastases treated using fSRS in five daily fractions at our hospital between January 2013 and April 2022. The median prescription dose was 35 Gy (range, 30–35 Gy) in five fractions. The median follow-up time after fSRS was 16 months (range, 7–66 months).ResultsGTV D80 > 42 Gy and GTV D98 > 39 Gy were prognostic factors for over 65% volume reduction (odds ratio, 3.68, p < 0.01; odds ratio, 4.68, p < 0.01, respectively). GTV D80 > 42 Gy was also a prognostic factor for LF (hazard ratio, 0.37; p = 0.01).ConclusionsGTV D80 > 42 Gy in five fractions led to better volume reduction and local control. The goal of planning an inhomogeneous dose distribution for fSRS in brain metastases may be to increase the GTV D80 and GTV D98. Further studies on inhomogeneous dose distributions are required.

Proton therapy reduces the effective dose to immune cells in breast cancer patients.

The effective dose to circulating immune cells (EDIC) is associated with survival in lung and esophageal cancer patients. This study aimed to evaluate the benefit of intensity-modulated proton therapy (IMPT) for EDIC reduction as compared to volumetric modulated arc therapy (VMAT) in patients with locally advanced breast cancer (BC). Ten BC patients treated with locoregional VMAT after breast-conserving surgery were included. Mean dose to the heart (MHD), lungs (MLD), and liver (MlD), as well as the integral dose to the body (ITD), were retrieved, and we calculated EDIC as 0.12 × MLD + 0.08 × MHD + 0.15 × 0.85 × √(n/45) × MlD + (0.45 + 0.35 × 0.85 × √(n/45)) × ITD/(62 × 103), where n is the number of fractions. EDIC was compared between VMAT and IMPT plans. Median EDIC was reduced from 3.37 Gy (range: 2.53-5.99) with VMAT to 2.13 Gy (1.31-3.77) with IMPT (p < 0.01). For left-sided BC patients, EDIC was reduced from 3.15 Gy (2.53-3.78) with VMAT to 1.65 Gy (1.31-3.77) with IMPT (p < 0.01). For right-sided BC patients, EDIC was reduced from 5.60 Gy (5.06-5.99) with VMAT to 3.38 Gy (3.10-3.77) with IMPT (p < 0.01). Right-sided BC patients had ahigher EDIC irrespective of the technique. Integral dose reduction was the main driver of EDIC reduction with IMPT and was associated with lung sparing for left-sided BC patients or liver sparing for right-sided BC patients. IMPT significantly reduced EDIC in BC patients undergoing locoregional adjuvant radiotherapy. Integral total dose reduction, associated with improved lung sparing in left-sided BC patients or liver sparing in right-sided BC patients, mainly drove EDIC reduction with IMPT. The emergence of dynamic models taking into account the circulatory kinetics of immune cells may improve the accuracy of the estimate of the dose received by the immune system compared to calculation of the EDIC, which is based solely on static dosimetric data.

Micro-Computed Tomography Analysis and Histological Observation of the Screw-Bone Interface of Novel Porous Scaffold Core Pedicle Screws and Hollow Lateral Hole Pedicle Screws: A Comparative Study in Bama Pigs

Screw loosening is a common complication of pedicle screw internal fixation surgery. This study aimed to investigate whether the application of a porous scaffold structure can increase the contact area between screws and bone tissue by comparing the bone ingrowth and screw-bone interface of porous scaffold core pedicle screws (PSCPSs) and hollow lateral hole pedicle screws (HLHPSs) in the lumbar spine of Bama pigs. Sixteen pedicle screws of both types were implanted into the bilateral pedicles of the L1-4 vertebrae of 2 Bama pigs. All Bama pigs were sacrificed and the lumbar spine was freed into individual vertebrae at 16weeks postoperatively. After the vertebrae were made into screw-centered specimens, micro-computed tomography analysis and histological observation were performed to assess the screw-bone interface and bone growth around and within the screws. We found that the bone condition around PSCPSs and HLHPSs did not show significant differences on micro-computed tomography three-dimensional reconstruction images. CT transverse views showed different bone growth inside the 2 screws. In PSCPSs, bone tissue was seen to fill the internal pores and was evenly distributed around each strut. Inside HLHPSs, bone growth was confined to 1 side of the screw and did not fill the entire cavity. Osteometric analysis showed that bone volume fraction and trabecular number, the parameters representing bone mass, were higher in PSCPSs than in HLHPSs. These differences were not statistically significant (P > 0.05). Histological observations visualized that the osseointegration within PSCPSs was superior to that of HLHPSs, and the tight integration of bone tissue with the porous scaffold resulted in a larger screw-bone integration area in PSCPSs than in HLHPSs. Compared with HLHPSs, PSCPSs possessing a porous scaffold core could promote bone ingrowth and osseointegration, resulting in an effective enhancement of the combined area of the screw-bone interface.

DiffuseRT: predicting likely anatomical deformations of patients undergoing radiotherapy

Objective. Predicting potential deformations of patients can improve radiotherapy treatment planning. Here, we introduce new deep-learning models that predict likely anatomical changes during radiotherapy for head and neck cancer patients. Approach. Denoising diffusion probabilistic models (DDPMs) were developed to generate fraction-specific anatomical changes based on a reference cone-beam CT (CBCT), the fraction number and the dose distribution delivered. Three distinct DDPMs were developed: (1) the image model was trained to directly generate likely future CBCTs, (2) the deformable vector field (DVF) model was trained to generate DVFs that deform a reference CBCT and (3) the hybrid model was trained similarly to the DVF model, but without relying on an external deformable registration algorithm. The models were trained on 9 patients with longitudinal CBCT images (224 CBCTs) and evaluated on 5 patients (152 CBCTs). Results. The generated images mainly exhibited random positioning shifts and small anatomical changes for early fractions. For later fractions, all models predicted weight losses in accordance with the training data. The distributions of volume and position changes of the body, esophagus, and parotids generated with the image and hybrid models were more similar to the ground truth distribution than the DVF model, evident from the lower Wasserstein distance achieved with the image (0.33) and hybrid model (0.30) compared to the DVF model (0.36). Generating several images for the same fraction did not yield the expected variability since the ground truth anatomical changes were only in 76% of the fractions within the 95% bounds predicted with the best model. Using the generated images for robust optimization of simplified proton therapy plans improved the worst-case clinical target volume V95 with 7% compared to optimizing with 3 mm set-up robustness while maintaining a similar integral dose. Significance. The newly developed DDPMs generate distributions similar to the real anatomical changes and have the potential to be used for robust anatomical optimization.

Exploring predictive molecules of acute adverse events in response to volumetric‑modulated arc therapy for prostate cancer using urinary metabolites.

Volumetric-modulated arc therapy (VMAT) is a radiotherapy technique used to treat patients with localized prostate cancer, which is frequently associated with acute adverse events (AEs) that can affect subsequent treatment. Notably, the radiation dose of VMAT can be tailored to each patient. In the present study, a retrospective analysis was performed to predict acute AEs in response to a therapeutic high radiation dose rate based on urinary metabolomic molecules, which are easily collected as noninvasive biosamples. Urine samples from 11 patients with prostate cancer who were treated with VMAT (76 Gy/38 fractions) were collected. The study found that seven patients (~64%) exhibited genitourinary toxicity (Grade 1) and four patients had no AEs. A total of 630 urinary metabolites were then analyzed using a mass spectrometer (QTRAP6500+; AB SCIEX), and 234 relevant molecules for biological and clinical applications were extracted from the absolute quantified metabolite values using the MetaboINDICATOR tool. In the Grade 1 acute AE group, there was a significant negative correlation (rs=-0.297, P<0.05) between the number of VMAT fractions and total phospholipase A2 activity in the urine. Additionally, patients with Grade 1 AEs exhibited a decrease in PC aa C40:1, a phospholipid. These findings suggested that specific lipids found in urinary metabolites may serve as predictive biomarkers for acute AEs in response to external radiotherapy.

Heat transfer across an array of cylinders arranged in inline and staggered formation in a heat exchanger: effect of nanoparticle volume fraction, nanoparticle diameter, and Richardson number

Heat transfer across an array of cylinders arranged in inline and staggered formation in a heat exchanger: effect of nanoparticle volume fraction, nanoparticle diameter, and Richardson number

Evidence-based clinical recommendations for hypofractionated radiotherapy: exploring efficacy and safety - Part 3. Genitourinary and gynecological cancers.

Hypofractionated radiotherapy (RT) has become a trend in the modern era, as advances in RT techniques, including intensity-modulated RT and image-guided RT, enable the precise and safe delivery of high-dose radiation. Hypofractionated RT offers convenience and can reduce the financial burden on patients by decreasing the number of fractions. Furthermore, hypofractionated RT is potentially more beneficial for tumors with a low α/β ratio compared with conventional fractionation RT. Therefore, hypofractionated RT has been investigated for various primary cancers and has gained status as a standard treatment recommended in the guidelines. In genitourinary (GU) cancer, especially prostate cancer, the efficacy, and safety of various hypofractionated dose schemes have been evaluated in numerous prospective clinical studies, establishing the standard hypofractionated RT regimen. Hypofractionated RT has also been explored for gynecological (GY) cancer, yielding relevant evidence in recent years. In this review, we aimed to summarize the representative evidence and current trends in clinical studies on hypofractionated RT for GU and GY cancers addressing several key questions. In addition, the objective is to offer suggestions for the available dose regimens for hypofractionated RT by reviewing protocols from previous clinical studies.

Impact of inclined magnetic field on natural convection in ferrofluid within a semi-circular enclosure with a heated wavy surface

Ferrofluids are liquids that exhibit distinctive magnetic properties when subjected to a magnetic field. Due to their magnetic susceptibility, ferrofluids have recently gained considerable scientific attention. They find tools in different fields, such as electronics, mechanical engineering, and materials science. The inclusion of the semi-circular enclosure inscribed around a heated wavy cylinder provides innovative perspectives essential for engineering applications involving induction furnaces and cancer therapy devices. This paper aims to conduct a computational investigation into the influence of an inclined magnetic field on the free convection within a semi-circular cage stuffed with a ferrofluid featuring an internally undulating surface. It is considered that the interior wavy cylinder was warmed ( T h ) , and the outer semi-circular enclosure is cold ( T c ) . The analyzed system’s governing equations are computed using the Galerkin finite element method (GFEM). The ferrofluid’s flow pattern and thermal transport rate are investigated about relevant non-dimensional values, such as the wave numbers, the number of Hartmann ( 0 ≤ Ha ≤ 20 ) , the number of Rayleigh ( 10 3 ≤ Ra ≤ 10 6 ) , and the volume fraction ( 0.00 ≤ ϕ ≤ 0.09 ) . Evaluating the results involves examining isotherms, analyzing the distribution of flow velocities, and calculating the Nu avg , all while considering variations in fundamental physical parameters. As the Hartmann number ( Ha ) decreases and both the number of Rayleigh ( Ra ) and volume fraction ( ϕ ) rises, the Nu avg of the ferrofluid exhibits an increased. As a result of incorporating ferroparticles, the simulation identifies a maximum value of 35.86 for the Nu avg . It is worth noting that an enhance in Hartmann numbers is associated with an 80% decrease in the velocity stream function. On the other hand, an escalation in ferroparticle values leads to a 9.7% reduction, while elevated Rayleigh numbers result in a 60.8% surge in the stream function. Moreover, the irreversibility stemming from fluid friction, transfer of heat, and the magnetic field can be minimized for ferrofluid fluids ( n = 1 ), by employing the optimal parametric combination.

Stereotactic Body Radiation Therapy Versus Conventional Radiation Therapy for Painful Spinal Metastases: A Comparative Analysis of Randomized Trials and Practical Considerations

IntroductionRecent randomized trials have compared the efficacy and safety of stereotactic body radiation therapy (SBRT) with standard conventional external beam radiotherapy (cEBRT) for the treatment of painful spinal metastases. We conducted a composite analysis of these trials in order to inform current practice using pooled outcomes. MethodsData from each randomized trial were abstracted from the final publications with biologically effective doses (BEDs) recalculated for SBRT and cEBRT. Primary outcome measures were overall (OR) and complete pain response (CR) rates at 1, 3, and 6-months, and rates of vertebral compression fracture (VCF). Random effects models were used to estimate primary outcome measures and meta-regression assessed the effect of BED. ResultsFour prospective randomized clinical trials published between 2018 and 2024 were included, with a total of 686 patients (383 and 303 in the SBRT and cEBRT groups, respectively). Dose and fraction (fx) number for the SBRT group ranged from 24 Gy/ 1 fx to 48.5 Gy/ 10 fx (median BED10 50 Gy), and for the cEBRT group from 8 Gy/ 1 fx to 30 Gy/ 10 fx (median BED10 28 Gy). The 1, 3, and 6-month OR rates for SBRT and cEBRT were similar: 53.6%, 52.4%, 58.8% vs. 48.4%, 47.9%, 43.8%, respectively (p>0.05). The 3-month CR rate was significantly higher for SBRT compared to cEBRT (31.9% vs. 14.8%, RR 2.26; 95% CI, 1.48-3.45, p<0.001), but not the 6-month rate (34.4% vs. 16.3% RR 1.83; 95% CI, 0.74-4.53, p=0.194). VCF rates were similar at 17.3% and 18.4% for SBRT and cEBRT, respectively. No significant dose-dependent effect was observed with increasing BED for any efficacy or safety outcomes. ConclusionsOR pain response rates are similar, but CR pain response rates appear higher with SBRT compared to cEBRT, yet no dose-dependent effects were identified despite approximately 1.8x BED dose with SBRT.

The global burden of disease attributable to high body mass index in 204 countries and territories: Findings from 1990 to 2019 and predictions to 2035.

Our study aims to provide an updated estimate of age- and sex-specific deaths and disability-adjusted life years (DALYs) associated with high body mass index (BMI) from 1990 to 2019 at the global, regional and national levels, and to forecast the global burden of disease attributed to high BMI from 2020 to 2035. We used the data for the number of deaths, DALYs, age-standardized rate (per 100 000 population), percentage change and population attributable fraction from the Global Burden of Disease Study 2019 (GBD 2019) to examine the disease burden attributable to high BMI. We further applied an autoregressive integrated moving average (ARIMA) model to predict the disease burden for the period 2020-2035. From 1990 to 2019, the deaths and DALYs attributable to high BMI increased by 148% and 155.86% for men, and by 111.67% and 121.78% for women, respectively. In 2019, high BMI directly accounted for 8.52% [95% uncertainty intervals (UI) 0.05, 0.12] of all-cause deaths and 5.89% (95% UI 0.04, 0.08) of global DALYs. The highest death rates were observed in men aged 65-69 and women aged 75-79. The highest DALY rates were observed in the age group of 60-64 for both sexes. In 2019, the highest age-standardized deaths and DALY rates were observed in the Central Asia region [163.15 (95% UI 107.72, 223.58) per 100 000 people] and the Oceania region [4643.33 (95% UI 2835.66, 6902.6) per 100 000 people], respectively. Fiji [319.08 (95% UI 213.77, 444.96) per 100 000 people] and Kiribati [10 000.58 (95% UI 6266.55, 14159.2) per 100 000 people] had the highest age-standardized deaths and DALY rates, respectively. In 2019, the highest age-standardized rates of high BMI-related deaths and DALYs were observed in the middle-high socio-demographic index quintile and in the middle socio-demographic index quintile. The age-standardized deaths and DALY rates attributable to high BMI are projected to increase in both sexes from 2020 to 2035. The death rates are projected to rise from 62.79 to 64.31 per 100 000 people, while the DALY rates are projected to rise from 1946 to 2099.54 per 100 000 people. High BMIs significantly contribute to the global disease burden. The projected rise in deaths and DALY rates attributable to high BMI by 2035 highlights the critical need to address the impact of obesity on public health. Our study provides policymakers with up-to-date and comprehensive information.

Experimental and numerical investigations on the intermittent heat transfer performance of phase change material (PCM)-based heat sink with triply periodic minimal surfaces (TPMS)

The excessive heat generated during the operation of electronic components leads to significant temperature increases, posing a significant risk to their service life. For the problem of efficient thermal management of electronic devices in confined spaces experiencing high heat flow, a scheme using triply periodic minimal surfaces and a phase change material-based active–passive cooling heat sink is proposed to control the temperature of electronic equipment. The apparent heat capacity method is employed to simulate the intermittent process of the phase change material-based heat sink. The optimization based on Box-Behnken Design and Nondominated Sorting Genetic Algorithm II is analyzed to obtain an improved triply periodic minimal surface structure. The effect of thermal performance (including base temperature, liquid fraction, and Grashof number) of an intermittent heat sink based on an improved structure is discussed. Visualization and temperature testing platforms are established. Through visualization experiments, the internal temperature and liquid fraction distribution of the heat sink are obtained, and the simulation results are in good agreement with the test results. The results show that the base temperature, liquid fraction, and Grashof number achieve a steady periodic variation during the intermittent process. Specifically, the base temperature remains stable in the range of 314 K to 340 K, the liquid fraction stabilizes between 0.8 and 1.0, and the Grashof number stabilizes between 100 and 1000. At the heating power of 30 W or below, the base temperature of the heat sink exhibits a steady periodic variation. At the heating power of 40 W, the maximum base temperature of the heat sink exceeds 370 K.

Irrigation-Initiated Changes in Physicochemical Properties of the Calcisols of the Northern Part of Fergana Valley

Agriculture in Central Asia and in the Fergana Valley in general strongly depends on irrigation and drainage of agricultural lands. The Fergana Valley includes about 45% of the irrigated area in the Syr Darya River basin. Active use of irrigation in agriculture can lead to changes in the soil’s natural composition, as well as pollution and changes in the soil’s physical and chemical properties. Soil degradation in the process of irrigation can lead to a decrease in crop yields and, as a consequence, to a decrease in food security in the region. In this study, a comparative analysis of three main types of Calcisols (Dark, Light, and Typical) before (uncultivated soil) and after agricultural use (surface-irrigated agricultural soil) was carried out. Irrigation leads to increment of SOC stocks in Typical (from 113.8 to 126.3 t/ha) and Light (from 62.8 to 100.1 t/ha) Calcisols and to decreasing of SOC stocks in Dark Calcisols (from 160.1 to 175.3 t/ha). In general, the content of biophilic elements (SOC and TN) is lower in irrigated soils, and their distribution in the soil profile is close to the functional relationship (r2 0.98 to 0.99). In uncultivated Calcisols, the profile distribution of SOC and TN is more heterogeneous (r2 0.67 to 0.97). Changes in the humification processes of soil organic matter are also identified; in soils after irrigation the carbon ratio of humic/fulvic acids (CHA/CFA) is lower (&lt;1) compared to their uncultivated counterparts (~1). The alteration of the soil water regime also resulted in transformation of the individual compositions of amino acids. All studied types of Calcisols are characterized by changes in particle-size distribution of soils especially in the number of the silt fraction (0.01–0.05 mm) and the difference between uncultivated and irrigated soils, 10–20%, which is associated with the processes of colmatage by accumulation of a fine fraction and replacement of sub-fractions in the fraction of sand. The highest concentrations of nutrients are characteristic of the upper soil horizons (P up to 231, K up to 2350 mg/kg), which indicate their pedogenic and agrogenic origins rather than inheritance from the parent material. Soil P and K availability is rather high, with non-labile forms prevailing, although of near reserve. The surface irrigation results in apparent accumulation of water-soluble Mg2+ (1.6–2.1 meq/100 g) and K+ (0.6–0.9 meq/100 g), but the cation of Ca2+ predominates in the base cations’ composition, which is the most favorable in terms of soil agrogenic property formation. Data obtained will be useful for development of strategies for effective land use in arid, subtropical, overpopulated regions of Central Asia that have deficient water sources and intensive soil degradation.

The Local Wisdom of Mathematical Language of Malay Community of Pangkalpinang: An Ethnographic Study

Pangkalpinang is the capital of Bangka Belitung Province by occupied most Melayu people with a rich culture. There are a number of cultures Pangkalpinang public relates to context learning mathematics. However, not many of the teachers in Pangkalpinang apply culture in learning mathematics. Whereas culture can be a starting point in learning mathematics. So the aim of the research for explore local wisdom quantity mathematics language public melayu Pangkalpinang which can used starting point in learning mathematics. The research used an exploration method with an approach of ethnography sourced from a literature review, field observation, and interviews with elders or the public who live in the area research place. Analysis of data through reduction data, presentation data, and concluding. The stages of research with a beginning observation about the context of public culture who made starting point learning. The next is the research theme which explores the language culture melayu Pangkalpinang public with related ethnomathematics, the next determine data source, data collection, analysis data, and drafting report and reflection. The result of the research shows that there is a quantity of language mathematics used by the Pangkalpinag public, and that matter can become a starting point in learning mathematics. Quantity language covers units, tens, twenties, hundreds, thousands, tens of thousands, hundreds of thousands, and millions, and also produces fractional numbers and indefinite numbers.

The impact of advancing the standard of care in radiotherapy on operational treatment resources.

To demonstrate the impact of implementing hypofractionated prescription regimens and advanced treatment techniques on institutional operational hours and radiotherapy personnel resources in a multi-institutional setting. The study may be used to describe the impact of advancing the standard of care with modern radiotherapy techniques on patient and staff resources. This study uses radiation therapy data extracted from the radiotherapy information system from two tertiary care, university-affiliated cancer centers from 2012 to 2021. Across all patients in the analysis, the average fraction number for curative and palliative patients was reported each year in the decade. Also, the institutional operational treatment hours are reported for both centers. A sub-analysis for curative intent breast and lung radiotherapy patients was performed to contextualize the impact of changes to imaging, motion management, and treatment technique. From 2012 to 2021, Center 1 had 42214 patient plans and Center 2 had 43252 patient plans included in the analysis. Averaged over both centers across the decade, the average fraction number per patient decreased from 6.9 to 5.2 (25%) and 21.8 to 17.2 (21%) for palliative and curative patients, respectively. The operational treatment hours for both institutions increased from 8h 15 min to 9h 45 min (18%), despite a patient population increase of 45%. The clinical implementation of hypofractionated treatment regimens has successfully reduced the radiotherapy workload and operational treatment hours required to treat patients. This analysis describes the impact of changes to the standard of care on institutional resources.

Mathematical concepts in calculating Zakat Maal based on the Al-Qur'an perspective

This research aims to reveal mathematical concepts in calculating Zakat Maal as explained in the Al-Qur'an. This research is qualitative descriptive research with a literature review type. The sources used as references in writing are the Al-Qur'an, books, and national and international journals relevant to the research study. The data collection methods used are observation and documentation, while the data analysis technique used in this research is content analysis. The results of the research show that mathematical concepts are found in Zakat Maal, namely in gold and silver Zakat, trade Zakat and professional Zakat (the concept of relations and functions, the idea of sets), agricultural Zakat and Rikaz ZAKAT (the concept of fractional rational numbers). The recommendation for further research is to expand the literature in the hope that later, we can obtain better results and discussions and develop an exploration of other mathematical concepts in calculating Zakat Maal.

A single-center experience of the upright proton therapy for skull-base chordomas and chondrosarcomas: Updated results

AimTo access efficacy and safety of the upright proton therapy for the skull-base chordomas and chondrosarcomas. Materials and methodsThe study encompasses single-center experience of proton therapy in chordomas (CA) and chondrosarcomas (CSA) of skull-base localization. We evaluate overall survival, local control and toxicity. Tumor response was assessed in accordance with RANO criteria. Treatment-related toxicity was evaluated with the help of CTCAE v 5.0 scale. ResultsProton therapy in the upright position was utilized for 51pts (patients) with CA-CSA (40 pts with chordoma and 11pts with chondrosarcoma) at the A. Tsyb Medical Radiological Research Center in 2016–2023. Median tumor volume constituted 30 cm3 (IQR (interquartile range) 15–41 cm3). Median total dose was 70 GyRBE. Median number of fractions was 35. Overall survival (OS) at 1-, 2- and 3-year rates reached 98.0 %, 88.6 % and 82.7 %, respectively. Median follow-up time was 36 months. The 1-, 2- and 3-year local control (LC) rates constituted, respectively, 98 %, 78.6 % and 66.3 %. Prior surgery showed statistically significant association with better prognosis (p = 0.023). Brainstem-to-tumor dose coverage compromise became the major pattern of LC failure (p = 0.03). The late radiation toxicity reactions included temporal lobe necrosis grade 2 in 2 pts, xerostomia grade 1 in 1pt, radiation cataract grade 2 in 1pt and persistent headache grade 2 in 4 pts. Severe late toxicity reactions were observed in 2 cases (4 %): 1 myelitis grade 3 and brainstem damage grade 5 in 1pt. ConclusionLocal control was achieved in the majority of patients receiving the scanning-beam upright proton therapy for skull-base CA-CSA. The LC rates after a surgery-radiotherapy combination treatment were higher compared with irradiation alone. Pattern of failure is mostly brainstem-tumor dose compromise. The high OS and LC rates were accompanied by low toxicity incidence. Even in complex case of the skull base CA-CSA upright proton therapy shows promising clinical outcomes.