Preprint
Article

A Novel Bioanalytical HPLC-MS/MS Method for Deucravacitinib Determination in Human Plasma

Altmetrics

Downloads

522

Views

210

Comments

0

Submitted:

17 April 2023

Posted:

18 April 2023

You are already at the latest version

Alerts
Abstract
Plaque psoriasis is a common, long-lasting illness that affects the immune system and causes significant negative impacts on a patient's physical health, well-being, and ability to work effectively. Deucravacitinib (DEU) is the first oral medication used in the treatment of plaque psoriasis, a chronic skin condition that causes red, scaly patches on the skin. DEU is a type of medication called an oral Janus kinase (JAK) inhibitor, which works by blocking specific enzymes that play a role in the inflammation and immune response associated with psoriasis. Therefore, a quick, easy, novel, reliable, sensitive, and straightforward Liquid Chromatography-Tandem Mass Spectrometry (LC-MS/MS) approach was used to analyse DEU in plasma samples. The LC-MS/MS method for the determination of DEU in human plasma was based on using trimethoprim as an internal standard (IS). The separation of DEU and IS was carried out via liquid-liquid extraction (LLE). The isolated substances were then subjected to the chromatographic system using the ACE-C18 column (4.6x100 mm, 5 µm). The mobile phase employed consisted of methanol and a solution of 2 mM ammonium formate (80:20 v/v, respectively). The flow rate used was set at 0.9 mL min-1. The creative strategy was performed by running an ABSCIEX API 4000 mass spectrometer with an electron spray ionization source in Multiple Reaction Monitoring (MRM) modes. The ion transitions m/z 426.3  358.2 was used for DEU quantitation, while the ion transitions m/z 291.1  261.1 was used for trimethoprim quantitation. The accuracy, precision, linearity, recovery, and selectivity of DEU were deemed acceptable when validated for a concentration range between 0.500 to 601.050 ng/mL, utilizing a weighting factor of 1/x2.
Keywords: 
Subject: Chemistry and Materials Science  -   Analytical Chemistry

1. Introduction

The second-leading cause of mortality worldwide, behind cardiovascular disorders, is cancer. Often, this disease results from malfunctions in the regulatory systems that control cell division and proliferation [1]. Every year, 1.7 million new instances of cancer are discovered, and 600,000 individuals pass away from it in the United States alone [2]. The cornerstones to effective cancer treatment are decreasing mortality, improving survival, enhancing patients, rapid diagnosis, and then prompt and targeted treatments. Early cancer detection is crucial since it shortens the treatment process and lowers the overall cost of care. Psoriasis plaques show up as raised, aroused, and textured patches of skin that will too be bothersome and difficult. On Caucasian skin, plaques ordinarily show up as raised, ruddy patches secured with a shimmering white buildup of dead skin cells or scale [3]. The infection features a solid but complex hereditary foundation with a concordance of around 60% in monozygotic twins [2]. Psoriasis vulgaris is hereditarily not a homogenous malady, and unmistakable clinical sub-phenotypes of the malady appear to be subordinate to distinctive hereditary components [3,4]. Therefore, FDA in 2022 approved DEU (Figure 1) as a first-line oral and selective tyrosine kinase inhibitor [5,6]. DEU is a novel lingual small molecule that selectively impedes TYK2 by binding exclusively to the TYK2-regulated pseudo-kinase (JH2) domain (allosteric inhibition). DEU, like other JAK inhibitors, does not bind to the kept active domain (competitive inhibitor) and is therefore significantly selective for TYK2 over other JAKs [7,8]. Therefore, DEU was used to treat adults with moderate-to-severe plaque psoriasis who did not respond to systemic medication or phototherapy [5,8].
As seen in Figure 1, DEU is a free base with basic functional groups available for extraction and ionization of DEU. The polar nature makes it prone to problems with matrix effects, but trimethoprim (TMP), as an internal standard, (Figure 1) was used to correct for matrix effects and ensure that the IS-normalized matrix coefficients are within acceptable limits.
To date, no chromatographic approaches were reported for the quantification of DEU in biological fluids. The selective LC-MS/MS strategy was applied to develop a selective, ultra-sensitive, and accurate approach with high repeatability and reliability. The main research activity was aimed at developing and justify a sensitive and highly selective bioanalytical design suitable for the quantification of DEU in human plasma, for the first time, covering a wide range of linearity.

2. Materials and Methods

2.1. Instrumentation

A mass spectrometer SCIEX API 4000 (from AB Sciex LLC, MA, USA) with Shimadzu prominence LC (software Version-Analyst 1.6.3) interfaced via Turbo ion spray was used for the study. The chromatographic method was optimized using the ACE C18 column (100 x 4.6 mm, 5 μm).

2.2. Materials

DEU and TMP (Internal Standard) were obtained as a gift sample from Dr. Reddy's Laboratories (Telangana, India). Methanol (HPLC grade), ammonium formate (AR grade), methyl tertiary butyl ether (MTBE) (AR grade), and HPLC Water were purchased from Merck (Darmstadt, Germany). Human (K2 EDTA as an anticoagulant) plasma was obtained from Om blood bank (Pune, Maharashtra, India). The study protocol was reviewed and approved by Aavishkar Ethics Committee (Goa, India).

2.3. Chromatographic conditions

The mobile phase was composed of methanol and 2 mM ammonium formate (80:20, v/v, respectively) which was used for separation of analyte from internal standard as well as extracted samples at a flow rate of 0.9 mL min-1. Quantitation of isolated components was done in a mass spectrometer in positive ion mode. A highly sensitive and selective, rapid, MRM (Multiple Reaction Monitoring) strategy has been created and validated for the quantification of DEU in human plasma utilizing an isocratic elution with 5 µL injection on tandem mass spectrometry. The innovative approach is based on liquid-liquid phase extraction with selective and rapid TMP as an IS. Sample 100 ng mL-1 (in 90% methanol in water) was prepared and used for tuning of mass parameters.

2.4. Preparation of standard solutions

5.0 mg of each DEU and TMP standards were weighed and dissolved in 5.0 mL methanol to get 1 mg mL-1 primary stock solutions which were stored in a refrigerator (2-8°C). The linear graph and the quality control samples were prepared using those primary stock solutions. A working solution of IS (500 ng mL-1) was obtained by dilution using mixture of methanol: water (80:20, v/v).

2.5. Linear graph and control samples

The samples were spiked with 0.980 mL of control plasma with the standard dilution of 0.02 mL dilution of the analyte. A set of eight non-zero standard ranging from 0.500 - 601.050 ng mL-1 of DEU were prepared for the linear graph. To determine the precision and accuracy, sample solutions (0.2 mL each) were prepared by spiking of control human plasma (9.8 mL each). The final concentrations for QC samples for DEU were 0.5 ng mL-1 (LLOQ), 1.444 ng mL-1 (LQC), 240.733 ng mL-1 (MQC) and 456.798 (HQC) ng mL-1.

2.6. Sample processing

Liquid-liquid extraction method [9,10] was used to isolate DEU and TMP as IS from human plasma. 0.100 mL sample (K2 EDTA plasma) was aliquoted into Ria (polypropylene) vials. Another 0.050 mL IS working solution was added to all samples except blank and vortexed. 0.100 mL of 2 mM ammonium format was added to all samples and vortexed. 1.000 mL of methyl tertiary butyl ether (MTBE) was added to all samples. All samples were vortexed at 2500 rpm for 10 minutes. The supernatant was separated into a fresh Ria vial. Samples were evaporated at 40°C under nitrogen gas till dryness. The samples were then reconstituted with 0.500 mL mobile phase and vortexed for 3 min. Samples were transferred to an autosampler vial for analysis and 5 μL of the sample was injected into a chromatographic system with MS-MS detection.

2.7. The validation process of innovated strategy

The method has been validated under FDA guidance [11].

2.7.1. Selectivity

At least six individual donor lots of human plasma were used for analyses of blank samples for selectivity. One blank and one lower limit of quantitation (LLOQ) were processed from each plasma lot and analyzed for interference and selectivity.

2.7.2. Precision and accuracy of the creative strategy

According to FDA guidance [11,12], a minimum of three concentrations in the range of expected concentrations under a calibration curve should be used for accurate results. To estimate the assay accuracy, six replicates containing analyte at a minimum of three different quality control (QC) levels were analyzed. This analysis ensures that the mean value falls within 15% of the actual concentration, providing reliable data for further decision-making. By adhering to these guidelines, both precision and accuracy can be ensured in the calibration process while maintaining compliance with regulations.
To achieve the required precision, it is essential to perform a minimum of five determinations per concentration at no less than three varying concentration levels. The coefficient of variation (CV) for each concentration level must not surpass 15%, except for lower limit of quantification (LLOQ) measurements, where a maximum of 20% CV is acceptable. Following these standardized procedures will foster the production of reliable data and reinforce the robustness of the calibration process. Moreover, it will guarantee our adherence to regulatory requirements and promote confidence in the analytical results generated.
Recuperation of the analyte requires not to be 100%, but the degree of recuperation of an analyte and the inner standard ought to be reliable, exact, and reproducible. Recuperation tests ought to be performed by comparing the expository comes about for extricated tests at three concentrations (low, medium, and maximum concentrations) with un-extracted/aliquot guidelines that speak to 100% recuperation.

2.7.3. Standardization and calibration graph

The curve for calibration was measured using samples that were produced in the same biological medium by spiking the matrix with specified analyte concentrations. The range of expected analytical results and the type of the analyte/response connection determines how many standards are required when building a calibration curve. Standard levels ought to be determined by the concentration range anticipated in a specific investigation. A calibration curve included a blank sample, a zero sample, and six to eight non-zero specimens that span the predicted range, including LLOQ. A blank sample is a matrix specimen treated without internal standard, whereas a zero sample is a matrix sample generated with internal standard.

2.7.4. Stability study of DEU

To evaluate the stability of the DEU in samples of plasma under different circumstances that could exist during sampling, stability studies were carried out. Six different samples from each level were used to perform the LQC and HQC levels of the stock solution stability, autosampler (processed sample) stability, and extracting stability tests. By contrasting the recoveries of the quality control samples under the various stability settings with those of freshly created samples, the stability of the QC samples was examined. If the average concentration at each QC level was less than 15% and the RSD% did not go over 15%, the samples were considered stable.

3. Results

3.1. Mass spectrophotometry

Figure 2 shows how the mass characteristics for the compounds with good performance were optimized in positive ionization mode. Data from the MRM mode were evaluated to improve selectivity [9,10,13]. The m/z values of the protonated form analyte and IS, [M+H]+ were 426.8 and 291.1 (Q1 mass), respectively. The daughter masses were determined to be 358.6 and 261.1 (Q3 mass) respectively (Figure 2).

3.2. The development of the creative approach

To obtain the requisite separations, a series of studies were carried out utilizing formate and acetate buffers of varying pH. Based on the findings, ammonium formate was chosen as the buffer and methanol was used as the organic solvent. Various buffer and methanol ratios were explored, and finally the methanol: buffer (80:20, v/v) was chosen as the optimized mobile phase because it eluted an elevated peak with favorable features for DEU and TMP as IS. The devised approach (Table 1 and Table 2) produced a symmetric peak with a retention period of 1.56 min for DEU and 1.34 min for TMP and met all peak attributes as specified by USP guidelines [14].

3.3. Chromatography

The measuring of the DEU in human plasma was observed using the LLOQ of DEU compared with free plasma samples (Supplementary material Figure S1) and LLOQ of TMP (IS) (Supplementary material Figure S2). The signal-to-noise ratio from extracted blank plasma is shown (Figure 3). The final optimized chromatographic parameters for estimation of DEU in plasma samples were observed in Table 2.

3.3. Method Validation

3.3.1. Specificity

Selectivity of the creative strategy was performed by checking blank plasma (without spiking with DEU) from six individual blood donor lots. Each blank plasma was processed against each LLOQ and analyzed. Interference in blank at analyte retention time (RT) was less than 20% area of the respective LLOQ. Interference in the blank at IS retention time was less than 5% of the respective internal standard IS area (Supplementary material Table S3).

3.3.2. Linearity

To define the range of DEU concentrations that can be tested with the creative approach, we collected and analyzed eight different sets containing DEU concentrations ranging from 0.5 to 601.05 ng mL-1 (Table 3). Plot the area ratios obtained for each concentration against the amount of DEU. Linearly fit the points by least-squares regression analysis and observe constant proportions with minimal data variance. 75% calibration standards must be within 85-115% of nominal concentration except CC1 where it can be within 80-120 % of nominal concentration (i.e. LLOQ). The mean correlation coefficient (r2 value) was obtained greater than 0.9941 (Table 3). Hence, the DEU can be easily estimated with the present system within this concentration.
The lower limit of quantification (LLOQ) for DEU is 0.500 ng mL-1. The run precision and precision of DEU at 0.500 ng mL-1 were 96.07 and 9.5%, respectively (Table 4). Analyte responses at LLOQ were more than 5-fold larger than the blank and IS calibration curves.

3.3.3. Accuracy and precision

Assay accuracy was defined as the ratio of the mean assay value to the actual value collected and expressed as a percentage. From Table 5 we can see that the accuracy ranges from 95.98% to 108.59%.
Precision was consistent against a single linear curve using three concentrations of LQC, MQC, and HQC (1,444, 240,733,456,798 ng/mL) and precision was determined for six sets of QC specimens. The impact captured is shown in Table 5. Based on the results obtained, the accuracy ranged from 3.03 to 5.34%.

3.3.4. Recovery

The extraction recoveries for DEU at low (1.444 ng/mL), medium (240.733 ng/mL), and high (456.798 ng/mL) plasma concentrations with six replicate injections each showed 83.73%, 50.42%, 50.64%. The overall recovery of DEU was found to be 61.60%. The recovery of DEU was found appropriate, precise, and reproducible (Supplementary material Table S4).

3.3.5. Matrix effects

Six individual lots of human plasma were utilized and prepared extracted blank and post-extracted blank from each plasma and analyzed LQC and HQC levels. No significant matrix ions were observed. At LQC and HQC concentrations, the internal standard matrix factor was found 0.96 to 1.08 (Table 6).

3.3.6. Stability

The stability of the analytes in human plasma was assessed under stock solution stability (storing the spiked plasma for 12 hrs at room temperature), under auto-sampler stability (for 24 hrs) and under wet extraction stability (at 2-8°C for 25 hrs). QC samples at two concentration levels (LQC and HQC) were subjected to different storage conditions and processed. The concentrations calculated for the stability samples and stability ranged between 85-115%.

4. Conclusions

Considering the information in this study, it can be said that a novel method is approved for the liquid-liquid extraction-based detection of deucravacitinib in human plasma at concentrations between 0.500 to 601.050 ng mL-1. In this concentration range, the precision and accuracy are within the appropriate limits. Estimated recoveries are deemed appropriate for the current LQC, MQC, and HQC processing techniques. It turned out that recoveries are due to matrix effects of ~60% but is consistent and reproducible. The drug was also discovered to be stable when subjected to the effects of wet extraction, auto-sampler, and stock solution stability. The proposed method showed excellent accuracy, precision, recovery, and sensitivity within the shortened run period. To date, no analytical approaches were reported for the quantification of DEU in biological fluids. The selective LC-MS/MS strategy was considering the first analytical method to develop a selective, ultra-sensitive, and accurate approach with high repeatability and reliability.

Supplementary Materials

The following supporting information can be downloaded at the website of this paper posted on Preprints.org. Figure S1: a) Deucravacitinib, extracted blank plasma chromatogram, and b) Deucravacitinib, extracted LLOQ chromatogram Not applicable; Figure S2: a) Trimethoprim (IS), extracted blank plasma chromatogram, b) Trimethoprim (IS), extracted LLOQ chromatogram; Table S3: Calculation of % interference in blank; Table S4: Recovery results of Deucravacitinib.

Funding

This research received no external funding.

Data Availability Statement

Not applicable.

Acknowledgments

The authors thank IndiGlobal Labs Pvt. Ltd. for their gift samples. The project was supported by IndiGlobal Labs Pvt. Ltd., we thank IndiGlobal management for such support. We also thank Dr. Sambasiva Rao Puram for his valuable guidance during the project.

Conflicts of Interest

The authors declare no conflict of interest.

References

  1. Khaledian, S.; Abdoli, M.; Fatahian, R.; Zahabi, S. S., Quantum Dots in Cancer Cell Imaging. In Quantum Dots-Recent Advances, New Perspectives and Contemporary Applications, IntechOpen: 2023.
  2. McHugh, K. J.; Jing, L.; Behrens, A. M.; Jayawardena, S.; Tang, W.; Gao, M.; Langer, R.; Jaklenec, A. Biocompatible semiconductor quantum dots as cancer imaging agents. Adv. Mater. 2018, 30, 1706356. [Google Scholar] [CrossRef] [PubMed]
  3. Gudjonsson, J.; Johnston, A.; Sigmundsdottir, H.; Valdimarsson, H. Immunopathogenic mechanisms in psoriasis. Clin. Exp. Immunol. 2004, 135, 1–8. [Google Scholar] [CrossRef] [PubMed]
  4. Brandrup, F.; Holm, N.; Grunnet, N.; Henningsen, K.; Hansen, H. , Psoriasis in monozygotic twins: variations in expression in individuals with identical genetic constitution. Acta Derm. Venereol. 1982, 62, 229–236. [Google Scholar] [CrossRef] [PubMed]
  5. Chimalakonda, A.; Burke, J.; Cheng, L.; Catlett, I.; Tagen, M.; Zhao, Q.; Patel, A.; Shen, J.; Girgis, I. G.; Banerjee, S. , Selectivity profile of the tyrosine kinase 2 inhibitor deucravacitinib compared with Janus kinase 1/2/3 inhibitors. Dermatology and Therapy 2021, 11, 1763–1776. [Google Scholar] [CrossRef] [PubMed]
  6. Catlett, I. M.; Aras, U.; Hansen, L.; Liu, Y.; Bei, D.; Girgis, I. G.; Murthy, B. , First-in-human study of deucravacitinib: A selective, potent, allosteric small-molecule inhibitor of tyrosine kinase 2. Clin. Transl. Sci. 2023, 16, 151–164. [Google Scholar] [CrossRef] [PubMed]
  7. Catlett, I. M.; Hu, Y.; Gao, L.; Banerjee, S.; Gordon, K.; Krueger, J. G. , Molecular and clinical effects of selective tyrosine kinase 2 inhibition with deucravacitinib in psoriasis. J. Allergy Clin. Immunol. 2022, 149, 2010–2020. [Google Scholar] [CrossRef] [PubMed]
  8. Lé, A. M.; Puig, L.; Torres, T. , Deucravacitinib for the treatment of psoriatic disease. Am. J. Clin. Dermatol. 2022, 23, 813–822. [Google Scholar] [CrossRef] [PubMed]
  9. Putnam, W. C.; Kallem, R. R.; Subramaniyan, I.; Beg, M. S.; Edpuganti, V. , Bioanalytical method development and validation of a liquid chromatography-tandem mass spectrometry method for determination of β-lapachone in human plasma. Journal of Pharmaceutical and Biomedical Analysis 2020, 188, 113466. [Google Scholar] [CrossRef]
  10. El-Zaher, A. A.; Hashem, H. A.; Elkady, E. F.; Allam, M. A. , A validated LC-MS/MS bioanalytical method for the simultaneous determination of dapagliflozin or saxagliptin with metformin in human plasma. Microchem. J. 2019, 149, 104017. [Google Scholar] [CrossRef]
  11. Zimmer, D. , New US FDA draft guidance on bioanalytical method validation versus current FDA and EMA guidelines: chromatographic methods and ISR. Bioanalysis 2014, 6, 13–19. [Google Scholar] [CrossRef] [PubMed]
  12. Salman, B. I. , A Novel Design Eco-friendly Microwave-assisted Cu–N@ CQDs Sensor for the Quantification of Eravacycline via Spectrofluorimetric Method; Application to Greenness Assessments, Dosage Form and Biological Samples. Journal of Fluorescence 2023, 1–10. [Google Scholar] [CrossRef] [PubMed]
  13. Chae, Y.-J.; Song, Y.-K.; Chae, S.-H.; Kim, M. J.; Kang, J. S.; Lee, J.-Y.; Koo, T.-S.; Lee, K.-R. , Development and validation of an LC-MS/MS method for monitoring larotrectinib, a tropomyosin-related kinase inhibitor, in mouse and human plasma and application to pharmacokinetic studies. Journal of Analytical Science and Technology 2020, 11, 1–9. [Google Scholar] [CrossRef]
  14. United States pharmacopoeia USP 43- NF 38. United States Pharmacopeia: 2021.
Figure 1. Chemical structure of DEU (A) and TMP (B)
Figure 1. Chemical structure of DEU (A) and TMP (B)
Preprints 71177 g001
Figure 2. Product ion (A) and daughter ion (B) spectra of [M+H]+ of DEU.
Figure 2. Product ion (A) and daughter ion (B) spectra of [M+H]+ of DEU.
Preprints 71177 g002aPreprints 71177 g002b
Figure 3. S/N ratio from extracted blank plasma.
Figure 3. S/N ratio from extracted blank plasma.
Preprints 71177 g003
Table 1. Optimization data for DEU and TMP using the devised approach
Table 1. Optimization data for DEU and TMP using the devised approach
Name Q1 Mass
(amu)
Q3 Mass
(amu)
Dwell
(ms)
DP
(V)
EP
(V)
CE
(V)
CXP
(V)
Deucravacitinib 426.8 358.6 200 110 10 32 10.30
Trimethoprim 291.1 261.1 200 110 10 32 10.30
CUR (psi) CAD (psi) Ion Spray Voltage (V) TEM (oC) GAS 1 (psi) GAS 2(psi) Scan Type Polarity
20 10 5500 500 40 40 MRM Positive
Table 2. Optimized method development parameters for DEU determination
Table 2. Optimized method development parameters for DEU determination
Parameter
Column: ACE C18 (100 x 4.6 mm, 5µ)
Pump mode: Isocratic
Column temperature: Ambient
Flow rate: 0.9 mL min-1
Injection volume: 5.0 µL
Run time: 3.0 min.
Detector: Tandem mass spectrometry (MRM mode)
Mobile phase: Methanol: 2mM ammonium formate (80:20, v/v)
Table 3. Back-calculated concentrations of calibrant samples for DEU in human plasma
Table 3. Back-calculated concentrations of calibrant samples for DEU in human plasma
CC STD ID Nominal conc. (ng mL-1) Calculated conc. (ng mL-1)
STD1 0.500 0.488
STD2 1.001 1.082
STD3 2.502 2.271
STD4 10.007 10.447
STD5 50.037 43.694
STD6 200.150 264.329
STD7 540.945 468.146
STD8 601.050 687.353
Slope 0.0362
Intercept 0.000404
Correlation Coefficient (r2) 0.9941
Table 4. Sensitivity results for DEU determination under the proposed conditions
Table 4. Sensitivity results for DEU determination under the proposed conditions
QC ID LLOQ QC Observed Conc. (ng/mL) LLOQ QC area (A) Analyte Area of STD 0 (B) Sensitivity (A/B)
1 0.522 5253 280 18.8
2 0.459 4918 17.6
3 0.491 5145 18.4
4 0.541 5436 19.4
5 0.445 4891 17.5
6 0.424 4406 15.7
Mean 0.4803
SD ± 0.04562
%CV 9.5
% Nominal 96.07
Table 5. Accuracy and precision results for DEU determination
Table 5. Accuracy and precision results for DEU determination
QC sample LQC MQC HQC
Nominal Concentration (ng mL-1) 1.444 240.733 456.798
Calculated Concentration (ng mL-1) 1.680 269.553 422.149
1.432 258.085 438.661
1.617 265.263 430.371
1.558 266.167 440.982
1.540 262.085 468.070
1.542 247.302 430.456
Mean 1.5615 261.4092 438.4482
SD (±) 0.08336 7.92881 15.99185
C.V.(%) 5.34 3.03 3.65
% Nominal 108.14 108.59 95.98
n 6 6 6
Table 6. Matrix factor of internal standard
Table 6. Matrix factor of internal standard
At LQC Level
QC ID Area of Analyte Area of Internal Standard Matrix Factor IS Normalization Matrix Factor (X/Y)
AQ (A) POST EX (B) AQ (C) POST EX (D) Analyte (X)= (B/Mean of A) IS (Y) = (D/Mean of C)
LQC1 40913 37598 4264110 3971469 0.94 0.94 1.00
LQC2 40534 36650 4270446 3721287 0.92 0.88 1.04
LQC3 37649 37803 4085748 3944473 0.94 0.93 1.01
LQC4 39934 36824 4257636 4072739 0.92 0.96 0.96
LQC5 40730 37854 4282973 4132175 0.95 0.98 0.97
LQC6 40474 39209 4254969 4192628 0.98 0.99 0.99
Mean 40039.0 4235980.3
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
Prerpints.org logo

Preprints.org is a free preprint server supported by MDPI in Basel, Switzerland.

Subscribe

© 2024 MDPI (Basel, Switzerland) unless otherwise stated