Introduction

Endometritis is a serious disease that affects reproductive performance, leads to low milk production and a low fertilization rate, increases risk of pregnancy loss, and severely reduces the production and economic benefits of dairy cow farming1,2,3. At calving the cervix is open, therefore environmental and reproductive tract microorganisms have the opportunity to ascend to and contaminate the uterus4,5,6. It is common for postpartum cows to have an inflammatory response in the uterus. Most cows can eliminate pathogen infections and resolve the inflammation through endometrial epithelial barrier and congenital immune defense functions within 4Ā weeks after delivery. However, this process will lead to pathological uterine inflammation due to poor management, physical damage, retention of fetal membranes, hormone disorders, denutrition, low immunity, and damage to the defense system7,8,9.

Studies have shown that pathogenic bacteria, including Staphylococcus, Streptococcus, Escherichia, Corynebacterium, Pseudomonas, Proteus, Necrobacillus, Pseudomonas aeruginosa, Campylobacter genitalia, Haemophilus, Bacillus pyogenes, Bacterium burgeri, Trueperella, Fusobacterium, and Prevotella, cause endometritis10. They are usually inhibited by antibiotics, hormones, and other drugs in clinical practice11,12,13.

Oxytetracycline (OTC) has good efficacy as an antibiotic for the treatment of endometritis14,15,16. OTC is an inexpensive, broad-spectrum antibiotic that is active against a wide variety of bacteria. OTC binds to the 30S ribosomal subunit and prevents the formation of an aminoacyl-tRNA-ribosome complex and further interferes with the ability of bacteria to produce proteins that are essential for bacteria to grow and multiply. However, some strains of bacteria have developed resistance to OTC, which has reduced its effectiveness for treating some types of infections17,18,19. Therefore, to effectively utilize the efficacy of OTC and treat endometritis, it is important to explore the bacterial communities that cause infection and are sensitive to OTC.

With the development of biotechnology, high-throughput sequencing has been widely used in clinical veterinary fields due to its high throughput, short sequencing time and low cost. When faced with certain clinical statuses, such as increased types of diseases, accelerated pathogen mutations, secondary infections, mixed infections, and latent infections, high-throughput sequencing has shown advantages in the areas of disease surveillance, rapid and accurate diagnosis, pathological research, and drug screening20,21,22.

This study used high-throughput sequencing to analyze changes in the bacterial community composition of bovine uterus contents in healthy Holstein cows, cows with endometritis, and cows with endometritis treated by OTC. Bacteria at the genus level that are easy or difficult to inhibit with OTC and the pathways that OTC affects were evaluated. These findings provide a theoretical basis for analyzing the pathogenesis of endometritis and the rational use of OTC.

Results

Pathogen identification in cultured bacteria

The detection rate of corresponding bacteria with common culture techniques in all four groups is shown in Table 1. Briefly, the bacteria detection rates (the number of positive samples to the number of all samples) between the NT and NC groups were similar. The detection rates of Escherichia coli, Staphylococcus aureus, Staphylococcus haemolyticus, and Streptococcus uberis were greater than 83%, while the detection rates of other bacteria were no less than 33%. The severity of endometritis can be quickly distinguished through visual observation and ultrasound methods (Fig.Ā 1Aā€“J). Microscopic examination results also showed that the cultures in this study had mixed infections of Escherichia coli, Staphylococcus sp., and Streptococcus sp. (Fig.Ā 1K, L). In individuals with severe endometritis (BT group), the detection rate of all mentioned bacteria in Table 1 is relatively higher. After treatment with oxytetracycline (AT group), the detection rate of mentioned bacteria was reduced. However, the related bacteria could still be detected in all samples.

Table 1 Pathogen identification in uterus.
Figure 1
figure 1

Observation, ultrasound, and microscopic imaging of endometritis and bacterial mixed infection of representative examples. Mildly diseased cows had red and swollen vulvae (A), and the vaginal discharge was slightly turbid and could not be drawn into filamentous mucus (B). A large amount of white (C) or yellow (D) purulent secretion with severe malodorous smell could be observed in the vaginal opening of severely diseased cows (Eā€“H). The uterus of diseased cows showed abnormal ultrasound imaging with hyperechoic areas (I), while healthy or cured cows had clear black background (J). (K) Mixed infection with Escherichia and Streptococcus (magnificationā€‰=ā€‰100Ɨ). (L) Mixed infection with Escherichia and Staphylococcus (magnificationā€‰=ā€‰100Ɨ).

Alpha-diversity of bovine uterine bacterial communities

The sequencing reads of the bacterial 16S rRNA gene resulted in 1,488,649 clean tags from 22 samples. The evaluation results of each sampleā€™s sequencing data are shown in Supplementary Table 1. These high-quality sequences clustered into an average of 1,117 bacterial OTUs. Numbers of identified phyla, classes, orders, families, genera, and species from these OTUs in all samples are shown in Supplementary Table 2.

The number of unique/shared genera and species of the bacterial communities across different groups are shown in Fig.Ā 2A,B. The genera Histophilus (20.16%), Bacterium (8.94%), Ruminococcaceae_UCG-005 (8.61%), Ureaplasma (7.52%), and Bacteroides (4.04%) were the 5 most dominantly abundant bacteria in the NC group. Bacterium (13.56%), Ruminococcaceae_UCG-005 (11.77%), Histophilus (6.65%), Ureaplasma (6.47%), and Ruminococcaceae_UCG-010 (6.40%) were the 5 most dominantly abundant bacteria in the NT group. Bacteroides (34.46%), Fusobacterium (30.51%), Porphyromonas (8.65%), Helcococcus (5.85%), and Parvimonas (2.72%) were the 5 most dominantly abundant bacteria in the BT group. Bacterium (11.68%), Ureaplasma (11.50%), Ruminococcaceae_UCG-005 (10.87%), Histophilus (8.43%), and Ruminococcaceae_UCG-010 (5.00%) were the 5 most dominantly abundant bacteria in the AT group (Fig.Ā 2C). The Chao1 and Shannon indexes were calculated for all samples. Alpha-diversity analysis showed significant differences among the four groups (Fig.Ā 3A, B).

Figure 2
figure 2

Venn diagram and abundances of the top 30 genera in the four groups. Venn diagrams showing the unique and shared genera of the bacterial communities across different groups at the genus (A) and species (B) levels. (C) Relative abundances of the top 30 bacterial genera in the four groups. Each color represents a genus, and the length of the patch represents the relative abundance ratio of all the bacterial communities in each sample. The other genera are merged in an ā€œothersā€ category. The category ā€œunknownā€ represents a species that was not annotated with taxonomy.

Figure 3
figure 3

Variations in alpha-diversity and NMDS analysis among the four groups. (A) Comparisons of the bacterial community Chao1 indexes within the different groups. (B) Comparisons of the bacterial community Shannon indexes within the different groups. *, Pā€‰<ā€‰0.05; **, Pā€‰<ā€‰0.01 (with Student's t-test). (C) The dots in the figure represent the samples, and the different colors represent the different groups to which they belong. The distance between points indicates the degree of difference. Closer samples on the graph have greater similarity of diversity.

Bacterial beta-diversity

A Brayā€“Curtis-based NMDS plot of all samples revealed a separation among the four groups (Fig.Ā 3C). The Brayā€“Curtis-based distance and abundance metrics showed that samples belonging to the BT group had an obviously different distribution compared with that of the other three groups. A UPGMA-based hierarchical clustering analysis confirmed the alphaā€diversity analysis results, which showed that each group had unique communities compared with those of the other groups among the four groups (Fig.Ā 4).

Figure 4
figure 4

Bacterial beta diversity based on UPGMA clustering and abundances of the top 10 genera. To optimize the view, the histogram shows only the top 10 most abundant genera; the other genera are merged in an ā€œothersā€ category. ā€œunknownā€ represents a species that are not annotated with taxonomy. Closer samples with shorter branch lengths have more similar genus-level compositions. Each color represents a genus, and the length of the patch represents the relative abundance ratio of all the bacterial communities in each sample.

Changes in the bacterial community in the uterus before and after treatment with OTC

The results of LEfSe analysis indicated that the bacterial communities with significant abundance changes in the four groups included 6 phyla, 10 classes, 15 orders, 24 families, 28 genera, and 1 species (Fig.Ā 5 and Supplementary Table 3). Metagenomic analysis showed that the bacterial composition varied in uteruses with endometritis after OTC treatment.

Figure 5
figure 5

Significant changes of bacterial communities in the four groups as determined by LEfSe analysis. Taxonomic representation of statistically consistent differences within the four groups. The taxa with significantly different abundances among groups are represented by colored dots. Colored areas (NC, NT, BT, and AT) mark the most prominent bacteria found in this study. The cladogram was generated by LEfSe and indicates differences at the phylum, class, family, order, genus, and species levels in the four groups. Each successive circle represents a phylogenetic level. Only taxa meeting a linear discriminant analysis (LDA) significance threshold ofā€‰>ā€‰3.5 are shown.

We first clarified the changes in the bacterial communities at the phylum level (Fig.Ā 6Aā€“C). The relative abundance of Fusobacteria, Firmicutes, Bacteroidetes, Spirochaetae, Proteobacteria, Saccharibacteria, Chloroflexi, Verrucomicrobia, and Lentisphaerae varied significantly between the NT and BT groups (Pā€‰<ā€‰0.05). The relative abundance of Fusobacteria, Firmicutes, Spirochaetae, Saccharibacteria, Bacteroidetes, and Tenericutes varied significantly between the BT and AT groups (Pā€‰<ā€‰0.05). The relative abundance of Chloroflexi, Cyanobacteria, and Spirochaetae varied significantly between the NT and NC groups (Pā€‰<ā€‰0.05). No significant bacterial community abundance changes occurred between the NC and AT groups at the phylum level.

Figure 6
figure 6

Abundances of bacterial communities changes at phylum level and related metabolic pathways with OTC treatment. (Aā€“C) Relative abundances of bacterial phyla in four groups. Each color represents a phylum. No significantly changed phyla are merged in an ā€œOthers with N.S.ā€ category. (D) KEGG pathways associated with significantly different abundances in the bacterial metagenomics profiles of BT and AT groups. The bars represent the proportion of each category in the data. Category differences with a Pā€‰<ā€‰0.05 were considered to be significant.

The top 5 increased/decreased and unique genera in the four groups are shown in Table 2, Supplementary Table 4, and Supplementary Table 5. The relative abundances of Clostridium_sensu_stricto_6 and Tissierella were much higher (25.839 and 10.665 times, respectively) in the NC group than in the NT group, while those of Tepidimonas, Ornithinicoccus, Paludibacter, Serratia, and Rhizobium were much lower (0.016, 0.018, 0.023, 0.042, and 0.043 times, respectively). Sulfuricurvum, Caproiciproducens, and Lactobacillus could not be detected in the NC group, while Paraliobacillus and Amphibacillus were undetectable in the NT group. The abundances of Marinospirillum, Erysipelothrix, Enteractinococcus, Erysipelotrichaceae_UCG-009, and Papillibacter were much lower in the BT group than in the AT group (0.002, 0.005, 0.008, 0.010, and 0.012 times, respectively), while those of Fusobacterium, Porphyromonas, Parvimonas, Peptoniphilus, and Trueperella were much higher (1,548.265, 1,022.113, 415.864, 233.766, and 92.739 times, respectively). Faecalibacterium, hoa5-07d05_gut_group, Salinicoccus, Methylophilus, Proteiniclasticum, Cellulomonas, Amphibacillus, and Phenylobacterium were undetectable in the BT group.

Table 2 Variations of dominant bacteria composition.

Changes in functional pathways of bacterial communities among the different groups

As shown in Fig.Ā 6D, there were 11 biological pathways (including excretory system, signal transduction, cell motility, digestive system, metabolism of terpenoids and polyketides, endocrine system, glycan biosynthesis and metabolism, lipid metabolism, metabolism of cofactors and vitamins, cancers: overview, and transport and catabolism) involved in bacterial communities with significant abundance changes between the BT and AT groups.

Discussion

OTC has a good therapeutic effect on endometritis, but some bacteria are resistant to OTC. However, most research on the use of oxytetracycline (OTC) in the treatment of endometritis focus on specific flora, especially the culturable bacteria23,24. The inhibition effects of OTC on the metagenomic-based analysis, especially non-culturable bacteria, and its effects on the biological functions of the corresponding bacteria are not well known.

In this study, we isolated and identified several common bacteria that cause endometritis. Overall, our analysis showed that the microbial communities in cows with endometritis are similarly dynamic within either animal groups (Figs.Ā 3, 4, Supplementary Table 4 and 5) as reported by other research25. It is noteworthy that although OTC stimulated the elimination of Bacteroidetes, Fusobacteria, etc., it did not eliminate all bacterial species. On the contrary, some bacteria species increased after OTC administration. The detection rates of bacteria such as Chryseobacterium indologenes, Bacillus cereus, and Corynebacterium were even higher in the NC group than in the BT group. Although some bacteria (e.g. Escherichia coli, Staphylococcus aureus, Staphylococcus haemolyticus, and Streptococcus), which was considered as pathogenic bacteria, has high detection rate or proportion, the individuals have not shown disease characteristics or have been cured. This indicates that identification by traditional bacterial culture methods has limitations for endometritis infection-associated strain identification. In addition, simply analyzing the etiology or treatment of endometritis based on a specific pathogenic bacterial population may also be inaccurate.

At the phylum level, changes in the bacterial communities between the NT group and the BT group indicated that abundances of Fusobacteria, Firmicutes, Bacteroidetes, Spirochaetae, Proteobacteria, Saccharibacteria, Chloroflexi, Verrucomicrobia, and Lentisphaerae changed the most from mild symptoms to severe illness. The changes in bacterial communities between the BT and AT groups indicated that OTC could significantly inhibit Bacteroidetes and Fusobacteria. The changes in bacterial communities between the NC and NT groups indicated that endometritis begins with changes in the abundance of Spirochaetae, Chloroflexi, and Cyanobacteria. These results seem to be contradictory. For example, Streptococcus and Staphylococcus belong to the Firmicutes phylum; Escherichia coli belongs to the Proteobacteria phylum. The abundance of Firmicutes was increased, while Proteobacteria did not change significantly after OTC treatment. This result suggests that exploring the bacteria that might lead to endometritis at the phylum level as a guideline to prevent or cure endometritis is ambiguous. However, since the database is not sufficiently comprehensive, we selected the genus level to further annotate the differences between different groups of bacteria and analyze their biological effects.

At the genus level, Sulfuricurvum, Caproiciproducens, and Lactobacillus were not detected in the uterus of healthy cattle but were in cows in the onset stage of endometritis. The abundances of bacteria such as Tepidimonas, Ornithinicoccus, and Paludibacter increased significantly during the deterioration of endometritis. Interestingly, Amphibacillus and Paraliobacillus could not be detected in the uteruses with endometritis. Amphibacillus was detectable in cows with endometritis until they were cured. Faecalibacterium, hoa5-07d05_gut_group, Salinicoccus, Methylophilus, Proteiniclasticum, Cellulomonas, and Phenylobacterium were undetectable when cows were severely ill, indicating that these bacteria could not survive in a severe endometritis environment.

In addition, we also found that no flora disappeared after OTC treatment, indicating that OTC could not completely remove existing bacteria. However, after treatment with OTC, the relative abundances of Bacteroides, Trueperella, Peptoniphilus, Parvimonas, Porphyromonas, and Fusobacterium decreased to 15.5824%, 1.0783%, 0.4276%, 0.0979%, and 0.0646%, respectively, indicating that OTC has an active inhibitory effect against these bacteria. In contrast, the relative abundance of Marinospirillum, Erysipelothrix, and Enteractinococcus increased tens of thousands of times after OTC treatment, indicating that OTC had no significant inhibitory effect on these bacteria.

Finally, we analyzed the possible biological pathways that OTC affected and its potential effects on the physiological role of uterine bacterial communities. Postpartum insufficient uterine involution, inflammatory secretions in the uterine cavity and poor drainage are important hidden dangers of endometritis. Bacteria lead to endometritis through biological pathways such as the excretory system, endocrine system, signal transduction, and cell motility26,27,28. The use of OTC can affect the utilization of glycan and lipids in bacterial communities and affect the content of metabolites (including terpenoids and polyketides), thereby affecting the adaptability and reproductive capacity of the communities29,30,31. In addition, OTC also affects the ability of bacteria to adapt to diverse conditions, which is mediated by regulation of encoded signal transducers (or their fraction in the total protein set)32. These results explain why OTC effectively reduced the production of cytokines, which actively participate in the inflammatory process in the uterus27,33, and had a potential role in responses initiated by recognition proteins, which, in the presence of foreign organisms including bacteria, trigger distinct signal transduction and modulation pathways34. More importantly, we also found that the treatment with OTC had a significant impact on the metabolism of cofactors and vitamins pathway. This result can also explain why the long-term use of OTC causes changes in intestinal communities and causes a vitamin imbalance. Therefore, vitamin supplementation is often used when treating animals with OTC35,36.

In conclusion, this study identified changes in bacteria at the genus level in uteri of cows with endometritis before and after OTC treatment. During OTC treatment, the excretory system, signal transduction, cell motility, digestive system, metabolism of terpenoids and polyketides, endocrine system, glycan biosynthesis and metabolism, lipid metabolism, metabolism of cofactors and vitamins, and transport and catabolism pathways were involved. OTC had a significant inhibitory effect on the genera Bacteroides, Trueperella, Peptoniphilus, Parvimonas, Porphyromonas, and Fusobacterium but had no significant inhibitory effect on bacteria such as Marinospirillum, Erysipelothrix, and Enteractinococcus.

Methods

All methods (including all animal experiments) in this study were performed in accordance with the relevant guidelines and approved by the Institutional Animal Care and Use Committee of Jilin University (IACUC-ID-SY201801026). This study is reported in accordance with ARRIVE guidelines.

Experimental animals

On a dairy farm with 442 cows, a total of 16 Holstein cows with same months of age and parity order were detected. According to the degree of illness, among all the samples, 5 cows were healthy cows (NC group), and 5 cows had mild disease (NT group). Six cows were severely ill (BT group) and became healthy after oxytetracycline hydrochloride (OTC; Aladdin, Shanghai, China) treatment (AT group).

Uterine contents collection

Before sample collection, the anus and vulva area were wiped and disinfected with a 5% potassium permanganate solution, and then the vulvae were disinfected with cotton swabs moistened with 70% alcohol. Endometrial swabs were used to collect the uterine contents as described with some modification25,37. In general, an improved ethylene oxide-sterilized human uterine sampling brush was placed into an infusion cannula, and advanced into the uterus and gently rotated38. After removal, the uterine sampling swabs was rinsed with sterile saline, and the solution samples were collected in two sterile tubes. Bacteria in one tube were stored immediately atā€‰āˆ’ā€‰80Ā Ā°C until DNA extraction. Bacteria in another tube were prepared for pathogen identification.

Diagnosis of endometritis

Holstein cows with endometritis were identified based the visual observation and ultrasound testing as described with some modification. In general, cows with a foul-smelling and slightly turbid discharged vaginal mucus were diagnosed with mild disease. Cows with fetid and white/yellow vaginal purulent secretions were diagnosed as seriously diseased. Through rectal palpation, the volume of seriously diseased cow's uterine horn was increased and often accompanied by a certain degree of edema, the elasticity of the cervix and uterus deteriorated. Through ultrasound examination, cows with thickened uterine wall and irregular inner edge as well as an obvious fluid sonolucent area in the uterus were identified as diseased cow while healthy or cured cows had clear black background without significant hyperechoic areas (Fig.Ā 1).

Isolation and biochemical identification of endometritis pathogens

Broth medium, MacConkey agar medium, blood agar base medium, and related media were obtained from Qingdao Hope Bio-Technology (Qingdao, China). Bacteria in uterine contents were cultured with the corresponding media at 37Ā Ā°C incubator for 24Ā h for Gram staining and microscopic examination. The morphology, staining characteristics and growth characteristics of the colonies were observed and classified. Each sample was subjected to 5 biological replicate tests, and any positive results indicated that the corresponding bacteria existed in the uterine contents. The isolated bacteria obtained were identified based on morphology, Gram staining reactions and different biochemical tests using Bergeyā€™s manual for determinative bacteriology39.

OTC treatment and efficacy evaluation

Briefly, uterine perfusion was performed on a diseased cow with a 20% concentration of OTC (200Ā g of OTC in 1 L of sterile saline). The vulva was cleaned and disinfected, and then 20Ā mL of OTC was pushed into the uterus every 2Ā days by a syringe through an infusion cannula. Four episodes of perfusion was considered a treatment course. One week after stopping the treatment, a rectal examination and an ultrasound examination were performed to verifyĀ the curative effect. When a white/yellow stench of vaginal purulent secretions was still found from the orificium vaginae and an inflammatory area was detected by ultrasound examination, the treatment was ineffectual (Fig. 1I). When there was no congestion in the vaginal mucosa, the uterine mucus was clear, and there were abnormal findings on ultrasound, the cows were considered cured (Fig.Ā 1J).

DNA extraction and sequencing

Total bacterial and fungal DNA were extracted from samples using a PowerSoil DNA Isolation Kit (MoBio Laboratories, CA, USA) according to the manufacturer's protocol. Then, DNA was stored atā€‰āˆ’ā€‰80Ā Ā°C until further processing.

Common primer pairs combined with adapter sequences and barcode sequences were used to amplify the bacterial 16S rRNA gene (forward primer, 5'-ACTCCTACGGGAGGCAGCA-3'; reverse primer, 5'-GGACTACHVGGGTWTCTAAT-3'). PCR amplification was performed in a total volume of 50 Ī¼L, which contained 0.2 Ī¼L of Q5 High-Fidelity DNA Polymerase (New England Biolabs Inc., MA, USA), 10 Ī¼L of buffer, 10 Ī¼L of High GC Enhancer, 1 Ī¼L of dNTPs, 10Ā Ī¼M each primer and 60Ā ng of genomic DNA. Thermal cycling conditions were as follows: an initial denaturation at 95Ā Ā°C for 5Ā min, followed by 15 cycles at 95Ā Ā°C for 1Ā min, 50Ā Ā°C for 1Ā min and 72Ā Ā°C for 1Ā min, with a final extension at 72Ā Ā°C for 10Ā min. PCR products from the first step PCR were purified through VAHTSTM DNA Clean Beads (Vazyme, Nanjing, China). A second round of PCR was then performed in a 40 Ī¼L reaction that contained 20 Ī¼L of 2ā€‰Ć—ā€‰Phusion HF Mix (Thermo Fisher Scientific, CA, USA), 8 Ī¼L of ddH2O, 10Ā Ī¼M each primer and 10 Ī¼L of PCR products from the first step. Thermal cycling conditions were as follows: an initial denaturation at 98Ā Ā°C for 30Ā s, followed by 10 cycles at 98Ā Ā°C for 10Ā s, 65Ā Ā°C for 30Ā sĀ min and 72Ā Ā°C for 30Ā s, with a final extension at 72Ā Ā°C for 5Ā min. Finally, all PCR products were quantified by a Quant-iTā„¢ dsDNA HS Assay KitĀ (Thermo Fisher Scientific) and pooled together.

High-throughput sequencing analysis of bacterial and fungal genes was performed on the purified, pooled samples using the Illumina HiSeq 2500 platform (2ā€‰Ć—ā€‰250 paired-end sequencing; Biomarker Technologies Corporation, Beijing, China).

Bioinformatics analyses

Raw sequences were generated from the Illumina HiSeq sequencing platform.Quality control and taxon classification were performed with FLASH v1.2.7 (http://ccb.jhu.edu/software/FLASH/), Trimmomatic (http://www.usadellab.org/cms/?page=trimmomatic), and UCHIME v4.2 (http://drive5.com/usearch/manual/uchime_algo.html). The sequences were further analyzed with the QIIME software package (http://qiime.org/). Operational taxonomic units (OTUs) were selected using a de novo OTU-picking protocol with a 97% identity threshold, and then, a representative sequence was picked for each OTU using Mothur software (https://www.mothur.org/) and the Silva database (https://www.arb-silva.de/) to annotate taxonomic information for each representative sequence.

Alpha-diversity, including Chao1 and Shannon indexes, was first calculated by Mothur software. Then, we compared overall samples between intragroup compositions using the unweighted pair-group method with arithmetic mean (UPGMA, http://genomes.urv.cat/UPGMA/), Venn40, and nonmetric multidimensional scaling (NMDS)41. Species with significant differences in microbial community composition abundance between groups were then analyzed with line discriminant analysis effect size (LEfSe, http://huttenhower.sph.harvard.edu/galaxy)42 and Metastats (http://metastats.cbcb.umd.edu/)43 methods. PICRUSt (http://picrust.github.com/picrust/)44 and Kyoto Encyclopedia of Genes and Genomes (KEGG, https://www.kegg.jp/)45,46,47 were used to predict function changes caused by bacterial microbial communities between the BT and AT groups based on the R language platform (R Core Team, https://www.r-project.org/).