Development Of Analytical Methods Research Articles

From the Ashes of the Bronze Age

This paper surveys the published evidence for thermally altered human remains on Cyprus from mortuary contexts dating to the Iron Age (Cypro-Geometric and Cypro-Archaic periods), while outlining new theoretical perspectives and scientific approaches resulting from the development of analytical methods that have expanded the potential for specialists to study such remains on the island through the lens of funerary taphonomy. Most of our current knowledge of ancient fire-related bodily transformations such as cremation comes from regions where thermally altered human remains are frequently found in archaeological contexts. For some geographical regions, however, the use of fire in mortuary contexts remains underexplored, and this is the case with Cyprus, where thermally altered human remains are rarely recovered. I survey previous research on the subject, although the true extent of fire-related mortuary practices on the island is currently unknown. I address current challenges and suggest potential directions for future research.

Advances in environmental analysis of high molecular weight disinfection byproducts.

The disinfection of drinking water, while critical for public health, leads to the formation of disinfection byproducts (DBPs). Toxicological and epidemiological studies have demonstrated that exposure to disinfected water samples may pose adverse effects on human health. Recent research highlights the potential greater toxicity contribution of DBP fractions with high molecular weight (MW) (with more than two carbon atoms) compared to regulated low MW DBPs, emphasizing the need for advanced analytical techniques to identify and characterize these fractions. In this review, we summarize different analytical techniques for indirectly assessing DBP precursors and directly analyzing DBPs, discussing their advantages and limitations. Additionally, since identifying DBP toxicity agents in complex water mixtures is crucial for further optimizing water disinfection and controlling DBP formation, key DBP identification methods based on both chemical and bioassay metrics are also included and discussed. Finally, we highlight three important aspects for the future development of analytical methods to enhance the understanding of high MW DBP formation.

Analytical Method Development and Validation of an RP-HPLC Method for Stability-Indicating Determination of Idelalisib

Analytical Method Development and Validation of an RP-HPLC Method for Stability-Indicating Determination of Idelalisib

Metabolomics Study by Amino and Organic Acid Profiling Analyses in Pre- and Post-Milling Barley Using Gas Chromatography-Tandem Mass Spectrometry

Barley (Hordeum vulgare) is a major cereal grain grown in temperate climates globally and provides various nutrients in a peeled form after milling. However, milling causes changes in nutritional composition, including metabolites. Thus, a metabolomics study was conducted to monitor the changes in nutritional composition before and after the milling of Hordeum vulgare seeds (Saechalssal, Hinchalssal, and Yeongbaekchal) focusing on the development and application of new analytical methods for organic acids (OA) and amino acids (AA). Profiling analyses of OAs and AAs were performed using GC-MS/MS. This analytical method showed good linearity (r ≥ 0.995) with limit of detection (0.1 ng, 21.2 ng) and limit of quantitation (0.3 ng, 63.6 ng), respectively. Repeatability varied from 0.1 to 12.4 (% RSD) and accuracy varied from –12.3 to 14.8 (% RE), respectively. Altered levels of 36 metabolites (16 OAs, 20 AAs) were monitored post-milling and compared with pre-milling in the three Hordeum vulgare cultivars. Radar plots of OAs and AAs to corresponding mean levels of each pre-milling group in the three Hordeum vulgare cultivars were easily distinguished from those in each post-milling group. The pre-and post-milling groups of the three Hordeum vulgare cultivars were completely separated by partial least square discriminant analysis, and the lysine, cysteine, glutamic acid, asparagine, 4-hydroxyphenylacetic acid, and citric acid were significantly different. Therefore, this study will be useful for monitoring altered metabolites following milling and discrimination of varieties.

QuEChERS-Based Method for the Determination of Fipronil in Protein Baits and Vespa velutina Larvae by HPLC-DAD and GC-MS

Protein baits containing fipronil as a biocide have shown their effectivity as a control method for Vespa velutina nigrithorax (Lepeletier, 1836) in apiaries. This biocide is not selective for Vespa velutina, so it is important to use the minimum dose to inactivate a nest. Therefore, the aim of this work was the development of analytical methods for the determination of fipronil in protein baits for quality control purposes and in larvae of Vespa velutina to determine the biocide content after protein bait ingestion and to acquire knowledge on fipronil metabolism in larvae. For this purpose, a Quechers-based HPLC-PDA method was developed and validated for the determination of fipronil in both matrixes. Furthermore, a GC-MS method was developed for the analysis of fipronil and its metabolites in dead Vespa velutina larvae fed with a mash containing 0.01% fipronil. Quechers-based HPLC-DAD allowed for the determination of the fipronil content in baits. Fipronil and the metabolites fipronil sulfone and fipronil sulfide were identified by GC-MS in extracts of larvae fed with a protein mash containing 0.01% fipronil. The transformation of fipronil into fipronil sulfone inside the larvae and the high toxicity of this metabolite open the possibility to produce protein baits with lower biocide concentrations.

Implantation of impressive chromatographic and built-in UV spectrophotometry approaches for sustainable Estimation of olopatadine and mometasone in pharmaceuticals; eco-scale and BAGI applications

The development of analytical methods that adhere to the principles of sustainable green chemistry is essential in the modern scientific arena. This research presents two novel methods for the concurrent quantification of olopatadine (OLO) and mometasone (MOM), targeting sustainable green chemistry principles in their raw materials, dosage forms and combined nasal spray formulations. The first method is a rapid isocratic high-performance liquid chromatography (HPLC) that achieves excellent resolution within 4 min, with retention times of 2.37 ± 0.1 min for OLO and 4.05 ± 0.1 min for MOM. It features optimal sensitivity, with detection limits of 0.13 µg/mL for OLO and 0.03 µg/mL for MOM. It utilizes a cyano column with an isocratic mobile phase of acetonitrile and 0.1 M OPA (50: 50, v/v), making it accessible to standard laboratory equipment. The second method is UV–visible spectrophotometry, which includes first-order derivative measurement (D1) and ratio derivative spectra (RDS) methods. These spectroscopic approaches provide linear response range of 0.2–20.0 µg/mL for OLO and 4.0–40.0 µg/mL for MOM, respectively serving as cost-effective alternatives for labs with limited resources. Validation results show high accuracy (98–102 %) and precision (RSD < 2 %). Green assessments using Eco-Scale indicate scores of 86 for HPLC and 100 for spectrophotometry, while the “blueness” concept via BAGI demonstrates strong sustainability with scores of 87.5 and 90. These methods effectively quantify OLO and MOM in their raw materials, different formulations and combined nasal spray, providing a sustainable and reliable approach for pharmaceutical analysis. This work is the first green assessment for the determination of OLO and MOM in pure drug and in the pharmaceutical formulations using less hazard solvent and simple technique.

Multi-residue analytical method development and dietary exposure risk assessment of 345 pesticides in mango by LC-Q-TOF/MS

Mango is attracting increasing global attention for its superior flavor and nutritional benefits. However, the use of pesticides has resulted in a threat to its quality, safety, and human health due to their inevitable residue. There is an urgent need for advanced technologies that can efficiently and sensitively analyze a wide range of pesticides. In this study, a high-throughput screening and quantification method for 345 pesticides in mango was established by applying a modified QuEChERS method combined with liquid chromatography-quadrupole-time-of-flight mass spectrometry (LC-Q-TOF/MS). A response surface methodology (RSM) optimized the critical parameters for extracting various pesticides in 1% acetic acid-acetonitrile (v/v) using MgSO4, PSA, C18, and GCB as the adsorbents. The proposed method was successfully validated and applied to the quantitative detection of pesticide residues in 73 mango samples from Hainan. The study found pesticide residues in 95.9% of mango samples, of which 3 samples had residue concentrations in excess of the Chinese maximum residue limit. A total of 24 pesticides were detected, with detection percentages ranging from 1.4% (Thiabendazole) to 41.1% (Pyraclostrobin). Considering the possible health risks related to pesticide residues, risk assessment of human exposure to pesticides via intake of mango was evaluated. The acute and chronic dietary exposure risks related to pesticide residues in mango were accepted. In conclusion, this study provides a powerful platform for monitoring multiple pesticides in mango. First, it can promote the rational use of pesticides, and second, it can help consumers to assess the risk of dietary exposure to pesticide residues.

Direction for Physical Arrangement of Slums in Coastal Areas (Case Study: Liem Hie Djung Area, North Nunukan Village, Nunukan Regency)

The process of urban development is always faced with various kinds of problems. One of the most important problems is the limited ability of cities to provide housing for residents who continue to grow and grow rapidly. The objectives of this study are: (1) To find out the extent of the level of slums in the Coastal Area around Liem Hie Djun, (2) To find out the correlation between the factors causing slums to the level of slums, and (3) To formulate directions for the arrangement of physical buildings of houses and the arrangement of basic infrastructure of the residential environment in the research area so that a residential environment with healthy and good environmental quality is realized. This research method uses the Spearman correlation method, and (3) The results of these two analyses are used as inputs in efforts to organize the slum environment, using the development analysis method. Based on the results of the analysis that has been carried out, it was found that the level of slums in RT 9 and RT 10 is heavy slums with weighting values of 374.8 and 328.5, respectively. Meanwhile, RT 11 is included in the category of medium slum level with a weighting value of 297. The results of the correlation analysis showed that the indicators of the level of health and comfort of buildings and environmental sanitation conditions had a perfect relationship that affected the level of slums. In RT 9, the level of health and comfort of buildings has a strong relationship affecting the level of slums.

Enhancing Analytical Potential for Ultratrace Analysis of Inorganic Oxyanions Using Extraction Procedures with Layered Double Hydroxides

This article provides an overview of the use of layered double hydroxides (LDHs) as effective sorbents in various extraction methods, including column-based solid-phase extraction (SPE), dispersive solid-phase extraction (DSPE), and magnetic solid-phase extraction (MSPE), for the separation and preconcentration of inorganic oxyanions of chromium, arsenic, and selenium. The primary focus is on enhancing the analytical performance of spectrometric detection techniques, particularly in terms of sensitivity and selectivity when analyzing low concentrations of target analytes in complex matrices. LDHs, which can be readily prepared and structurally modified with various substances, offer promising potential for the development of novel analytical methods. When used in analytical extraction procedures and following careful optimization of experimental conditions, the developed methods have yielded satisfactory results, as documented by studies reviewed in this paper. This review is intended to assist analytical chemists in scientific laboratories involved in developing new extraction procedures.

Scientifc Validation and Chromatographic Method Development for the Estimation of Piperine in Herbal Formulation Babbularishta: A Quality Control Strategy for Critical Quality Attributes

Background: Babbularishta is an Ayurvedic medicine in liquid form used for the treatment of phthisis, skin diseases, urinary disorders,, and breathing problems. It is also beneficial in cases of blood disorders, acne, dermatitis, hemoptysis, lung injury, asthma, persistent cough, whooping cough, etc. Objective: The functional role of this study is to develop a simple, novel, precise, accurate, reliable, and selective RP-HPLC method for the estimation of piperine content in herbal drug formulations (Babbularista). Methods: A traditional approach to method development could fail to meet the desired separation. Consideration of the current regulatory requirement for analytical method development and RP-HPLC method for routine analysis of piperine in the herbal formulation has been optimized using an analytical Quality by Design (QbD) approach. Three laboratory formulations and three marketed preparations of Babularishta were investigated for organoleptic parameters, physicochemical parameters, and validation. The mobile phase composition (methanol and water % as A), pH (B), and flow rate (mL/min as C) were selected as independent variable,. In contrast, retention time (min. as Y2), area (AU as Y1) is selected as dependent variables. Results: The fingerprinting method was developed and optimized by using the AQbD approach. Piperine content was found to be in Piper nigrum (Marica) 3.01±0.01527 % w/w and in Piper longum (Pipali) 2.74±0.01154% w/w in Babbularista. Conclusion: An attempt has been made to develop quality control parameters of Babbularista by developing a suitable and sensitive HPLC methods for the quantitation of piperine in herbal drug formulations (Babbularista). The developed method was found to be simple, accurate, precise,, and economical for the estimation of piperine in herbal formulations.

Analytical Method Development and Validation for Simultaneous Determination of Cabotegravir and Rilpivirine Using RP-HPLC

Analytical Method Development and Validation for Simultaneous Determination of Cabotegravir and Rilpivirine Using RP-HPLC

Spectral and optic-metric methods of monitoring parameters of plasma channels caused by discharge currents between metals granules in working liquids

Introduction. Spark-erosion processing of metals and alloys granules in working liquids is the basis of a several technological processes. Efficiency of energy use in them and parameters of the resulting product largely depend on the accuracy of stabilization and regulation of pulse power in each plasma channel between the granules. To achieve this, until now only the voltage and current of the discharge pulses in the entire layer of granules have been controlled. Problem. The measurement methods, which are used, are not effective enough for monitoring the parameters of individual plasma channels and predicting the size distribution of eroded metals particles at the stage of their formation. The aim of the work is to develop a method for determining the volumes of components of plasma channels in layers of metals granules during their spark-erosion treatment to predict the size distribution of eroded metal particles at the stage of their formation, as well as to simplify the method of spectrometric analysis of the elemental composition of substances surrounding plasma channels for the operational prediction of the chemical composition of resulting products. Methodology. A series of experiments were carried out on spark-erosion processing of Al and Ag granules layers in distilled water. Using a digital camera, images of the plasma channels in them were obtained. Based on the theory of pulsed electrical breakdown of liquid dielectrics, an analysis of the components of plasma channels was carried out. Using the specialized ToupView program, the volumes of equivalent ellipsoids of rotation were determined, approximating the halos of colored radiation likely arising from streamers, as well as the spark cores of plasma channels emitting white light. The shades of the resulting radiation were studied for several metals and working liquids. The obtained data were compared with the known results of spectrometric studies for the same elements excited by similar mechanisms. Results. The theory of discharge-pulse systems for spark-erosion processing of granular conductive media has been developed in the direction of new methods for monitoring the parameters of discharge pulses and predicting the chemical composition and size distribution parameters of eroded metal particles at the stage of their production. An optic-metric method has been developed for determining the volumes of halos and cores of plasma channels. A simplified spectral method for determining the chemical composition of erosion particles based on the shade of the resulting radiation was proposed. Originality. The developed new optic-metric method makes it possible to obtain information about almost every plasma channel, which refines predictions of the size distribution of erosion particles. To implement the method, general-purpose hardware and specialized software that is freely available are used. The developed method of simplified spectral analysis of excited atoms makes it possible to make preliminary predictions of the chemical composition of the obtained erosion particles already at the stage of their formation without the use of expensive specialized equipment. Practical significance. The ratio of the volumes of halos and cores of plasma channels between Al and Ag granules in distilled water was measured. An analysis of the emission spectra of plasma channel halos between Al, Ag and Cu granules in distilled water, Fe in ethyl alcohol, Ni-Mn-Ga and Ti-Zr-Ni alloys in liquid nitrogen, and Ti-Zr-Ni in liquid argon was carried out. Based on spectrometry data, the resulting shades of these radiations were substantiated and their description in the RGB system is given. References 56, table 1, figures 4.

Voltammetric Determination of Diazepam – A Comprehensive Review

The review deals with the fundamental characteristics of an important biologically active substance – diazepam, summarizing voltammetric methods for its determination in various samples. This 1,4-benzodiazepine derivative is used as an adjunct to treat anxiety associated with psychiatric illnesses (e.g. schizophrenia). Due to the increasing number of forensic cases related to overdose of diazepam (often in combination with alcohol), the development of rapid and reliable analytical methods for its detection and determination in pharmaceutical samples and alcoholic drinks is an important goal of analysts. In this review, an overview of the voltammetric methods to determine diazepam in various samples is briefly summarized.

In-tube extraction dynamic headspace coupled to gas chromatography-mass spectrometry for the sensitive analysis of volatile compounds in aqueous samples

Aim: Volatile organic compounds (VOCs) are often human-made contaminants used and generated in the manufacturing of numerous products, presenting notable environmental and health hazards. Therefore, the development of sensitive and reliable analytical methods is crucial for their detection with accuracy, timeliness, and automation capabilities. The objective of this study is to demonstrate the suitability of the in-tube extraction dynamic headspace (ITEX-DHS) sampling method for the gas chromatographic/mass spectrometric (GC/MS) analysis of BTEX (benzene, toluene, ethylbenzene, and xylenes) compounds in aqueous matrices. It emphasizes the method’s metrological reliability and innovative approach to precisely determining VOCs in aqueous environments providing a tool to prevent contamination of the agrifood sector. Methods: Following the optimization of various experimental parameters, including salt incorporation and adjustments of both dry purging and desorption conditions. The method’s performance was evaluated for repeatability, reproducibility, and robustness. Results: Limit of detection (LOD) and limit of quantification (LOQ) were for all substances determined lower than 50 and 100 ng/L, respectively. Average relative standard deviations below 5% were achieved for all analytes, with recovery rates ranging between 93% and 101%. Subsequently, the method was applied for the determination of BTEX in one hundred groundwater samples. The findings revealed that the BTEX levels were below the LOD in 84.2% of samples. However, in the remaining samples, more than one compound was detected at concentrations higher than the LOQ. Conclusions: The ITEX method emerges as a highly favorable alternative to both solid phase microextraction (SPME) and purge and trap (P &amp; T) methods for determining BTEX in aqueous samples, providing significant advantages. Its strengths lie in its increased robustness, extended trap lifespan, and enhanced sensitivity, underscoring its superior performance in VOC analysis. The total analytical method allows the sensitive and robust determination of VOC.

Development, Validation, and Greenness Assessment of Eco-Friendly Analytical Methods for the Determination of Abiraterone Acetate in Pure Form and Pharmaceutical Formulations

This study presents the development and validation of environmentally friendly analytical methods for quantifying Abiraterone Acetate (AA) in both its pure form and commercial pharmaceutical formulations. An optimized High-Performance Liquid Chromatography (HPLC) method was developed using an Agilent Extend C18 column (250 mm × 4.6 mm, 5 μm) at 25 °C. The mobile phase consisted of formic acid and ethanol in isocratic mode, with a flow rate of 1.0 mL min−1, and detection was performed at 253 nm. The spectrophotometric method involved a comprehensive evaluation of AA’s spectral properties in various solvents, with ultrapure water providing the most suitable spectra for analysis at 253 nm. Both methods were validated according to ICH guidelines, demonstrating selectivity, linearity, accuracy, precision, detection and quantification limits, and robustness, with correlation coefficients exceeding 0.999 across the 5–30 μg mL−1 concentration range. Comparative statistical analysis using Student’s t-test and Fisher’s F-test showed no significant differences between the two methods. The environmental impact of both methods was assessed using AGREE and GAPI software, confirming their sustainability. These validated methods offer reliable and eco-friendly approaches for the quantitative analysis of AA in tablet formulations, promoting safer and greener laboratory practices in pharmaceutical analysis.

Drug Repurposing for Effective Alzheimer's Disease Medicines: Existing Methods and Novel Pharmacoepidemiological Approaches.

Drug repurposing is a methodology used to identify new clinical indications for existing drugs developed for other indications and has been successfully applied in the treatment of numerous conditions. Alzheimer's disease (AD) may be particularly well-suited to the application of drug repurposing methods given the absence of effective therapies and abundance of multi-omic data that has been generated in AD patients recently that may facilitate discovery of candidate AD drugs. A recent focus of drug repurposing has been in the application of pharmacoepidemiologic approaches to drug evaluation. Here, real-world clinical datasets with large numbers of patients are leveraged to establish observational efficacy of candidate drugs for further evaluation in disease models and clinical trials. In this review, we provide a selected overview of methods for drug repurposing, including signature matching, network analysis, molecular docking, phenotypic screening, semantic network, and pharmacoepidemiological analyses. Numerous methods have also been applied specifically to AD with the aim of nominating novel drug candidates for evaluation. These approaches, however, are prone to numerous limitations and potential biases that we have sought to address in the Drug Repurposing for Effective Alzheimer's Medicines (DREAM) study, a multi-step framework for selection and validation of potential drug candidates that has demonstrated the promise of STAT3 inhibitors and re-evaluated evidence for other drug candidates, such as phosphodiesterase inhibitors. Taken together, drug repurposing holds significant promise for development of novel AD therapeutics, particularly as the pace of data generation and development of analytical methods continue to accelerate.

A Review on Advancement in Analytical Quality by Design (AQbD)

Analytical Quality by Design (AQbD) represents a transformative methodology in pharmaceutical development, anchored in a systematic, risk-based, and data-driven framework. This approach optimizes analytical methods, fostering heightened product quality, efficient regulatory compliance, and informed decision-making. The industry's increasing acceptance of AQbD principles signifies a paradigm shift towards enhanced efficiency, sustainability, and global harmonization. This review comprehensively explores AQbD principles, regulatory perspectives, and its applications, particularly in analytical method development, including high-performance liquid chromatography (HPLC) and high-performance thin-layer chromatography (HPTLC). Emphasis is placed on the symbiotic relationship between AQbD and analytical method validation (AMV), elucidating their collective role in ensuring reliable and accurate analytical results. Integrating AQbD in method transfer, automation, and control strategies underscores its pivotal role in achieving robust, efficient, and compliant analytical processes. The review delves into lifecycle management and continuous improvement, coupled with AQbD principles, ensuring sustained method reliability throughout the pharmaceutical product lifecycle. AQbD's significant contribution to pharmaceutical lifecycle management, optimization, and change control is explored, emphasizing its systematic, data-driven, and risk-based approach to method development, validation, and ongoing enhancement. This review illuminates AQbD's transformative impact on pharmaceutical analysis, aligning with industry trends toward quality, efficiency, and regulatory compliance.

Large scale screening and quantification of micropollutants in fish from the coastal waters of Cochin, India: Analytical method development and health risk assessment

Urban estuarine and coastal water receive several micropollutants through industrial and agricultural influxes. The bioaccumulation of these micropollutants in fish and their entry into the coastal population's food chain raises significant food safety concerns. Hence, a comprehensive analytical method was developed for ultra-trace level quantification of 345 micropollutants in fish. The optimized sample preparation method could extract compounds suitable for both GC–MS/MS and LC-MS/MS analysis simultaneously. The target list of contaminants included 278 agricultural pesticides and also 102 endocrine disruptors covering polyaromatic hydrocarbons, polychlorinated biphenyls, organochlorines, and endocrine-disrupting pesticides. The GC–MS/MS with large volume injection (LVI) technique, and LC-MS/MS operating in MRM mode, achieved an LOQ of <2.00 ng/g for most of the analytes. The extraction strategy involved tri-phase partitioning between water, acidified acetonitrile, and hexane, followed by salting out. Dispersive solid phase cleanup (dSPE) with C18, Z-Sep+, CaCl2, and MgSO4 was able to reduce the matrix influence, and the method achieved satisfactory recovery in the range of 70.0–120.0 % for all the target analytes. The repeatability and reproducibility relative standard deviation values of the measured analytes were <20.0 %, and the Horwitz ratio values were well below 2. The method was used to accurately measure the target micropollutants in fish from the Cochin estuary, the highly urbanized portion of the Vembanad Lake, and an important Ramsar site. At least one or more of the 41 different micropollutants were identified and quantified in about 90.7 % of the 108 samples analyzed. The importance of large-scale screening and trace-level quantification methods in environmental monitoring and risk assessment is underscored by the results. The risk assessment showed a moderate risk of exposure to the nearby coastal population through the food chain.

An overview on analytical methods and the occurrence of organic pollutants in cigarette litter

Cigarette litter, such as cigarette ash, cigarette butts, and cigarette butt leachates, can contain organic pollutants similar to those in cigarette smoke, but studies on these waste types are still relatively limited. This review article compiles information from studies published over the past four decades on organic pollutants in cigarette ash, cigarette butts, and leachates from cigarette butts, to provide insights into quantitatively analytical methods and the presence of these toxicants in cigarette litter. The main organic pollutants found in cigarette litter include: volatile organic compounds (VOCs), semi-volatile organic compounds (SVOCs), polycyclic aromatic hydrocarbons (PAHs), nicotine, and aromatic amines. Gas chromatography or liquid chromatography coupled with mass spectrometry detection have been the most frequently used methods to characterize organic pollutants in cigarette litter. Toxic substances in improperly disposed cigarette waste can pollute the environment through evaporation into the air or leakage through leachates into the water environment, seepage into soil, accumulate in sediment, and cause negative effects on organisms. Further studies on analytical method development, pollution monitoring, and risk assessment related to organic pollutants in cigarette waste are needed.

ANALYTICAL CALCULATION OF A BEAM BASED ON AN ELASTIC WINKLER FOUNDATION WITH RANGE INHOMOGENITY

The aim of the study is the further development of analytical methods for calculating the bending of beams resting on a non-homogeneous continuous Winkler elastic foundation. This paper considers the case when the beam is under the influence of a uniformly distributed constant transverse load, and the inhomogeneity of the elastic foundation is given by a power function with an arbitrary non-negative power exponent . Fundamental functions and a partial solution of the corresponding differential equation of beam bending are found in an explicit closed form. These functions are dimensionless and are represented by absolutely and uniformly convergent power series. In turn, the formulas for the parameters of the stress-strain state of the beam – deflection, angle of rotation, bending moment and transverse force – are expressed through the indicated functions. The unknown constants of integration in these formulas are expressed in terms of the initial parameters, which are after the implementation of the specified boundary conditions. Thus, the calculation of the beam for bending is reduced to the procedure of numerical implementation of explicit analytical formulas for the parameters of the stress-strain state. An example demonstrates the practical application of the obtained solutions. A prismatic concrete beam based on a cubic variable elastic foundation is considered. This case corresponds to the power value . The results of the calculation by the author's method are presented in numerical and graphical formats for the case when the left end of the beam is hinged and the right end is clamped. The numerical values obtained by the author's method are accurate, since the applied calculation method is based on the exact solution of the corresponding differential equation. The availability of such solutions makes it possible to evaluate the accuracy of solutions obtained using various approximate methods by comparison. For the purpose of such a comparison, the paper presents the calculation results obtained by the finite element method (FEM). The absolute error of the FEM method when calculating this design was determined.