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van Beek et al. Microbiome Res Rep 2025;4:13  https://dx.doi.org/10.20517/mrr.2024.45  Page 7 of 19

               ab130945) for the standards. The detector antibody was biotinylated using Biotinylation Kit / Biotin
               Conjugation Kit (Fast, Type A) - Lightning-Link® (Abcam, ab201795) according to the manufacturer’s
               instructions. The ELISA was performed according to the general matched antibody pair kit protocol in
               Human IgA Matched Antibody Pair Kit (Abcam, ab219536). A linear standard curve was used for the
               calculation of the results.

               Lysozyme
               Lysozyme was quantified by sandwich ELISA using Human Human LZM (Lysozyme) ELISA Kit
               (Elabscience, E-EL-H1869). A four-parameter logistic curve was used for the calculation of the results.

               Zonulin
               Zonulin was quantified by sandwich ELISA using Human Zonulin ELISA Kit (elabscience, E-EL-H5560)
               according to the manufacturer’s instructions. A four-parameter logistic curve was used for the calculation of

               the results.

               Statistical analysis
               All analyses were performed in R 4.3.1 (2023-06-16) within Rstudio Version 2023.06.2+561 for macOS.


                                          [30]
                                                           [32]
                                                    [31]
               We used R the packages mare , reshape2 , nlme , and gplots . Both microbial absolute abundances
                                                                       [33]
               and biomarker levels were analysed after log transformation to obtain normal distributions. We calculated
               the daily changes in both by subtracting the log-transformed abundance on day t from the log-transformed
               abundance on day t + 1. Bacteria were analysed at the family and genus levels, including only taxa that were
               present at > 0.1% in at least 50% of at least one of the time series (48 genera and 23 families). We used linear
               mixed models (function lme) to identify associations between microbial taxa and biomarkers, with the time
               series ID, combining information on subject ID and age, as a random factor. The model residuals were
               random and normally distributed without temporal patterns. The models were adjusted for total protein
               concentration/change and total bacteria change in the sample.


               When modelling the associations between biomarker concentrations and bacterial changes, the biomarker
               concentrations were normalised by scaling and centring by time series to remove average-level differences
               between individuals. Due to the exploratory nature of the study, we chose to define statistical significance as
               P < 0.05 without multiple testing adjustment, as it was considered important to find all true associations
               (reduce the number of false negatives) even if some false positives may arise. To reduce the number of false
               positives, we did not analyse the data at the species level, as we expect related species to have similar
               biomarker associations.

               RESULTS
               We investigated associations between faecal microbiota and immune-related biomarkers in daily time series
               of 6 infants sampled at the age of 5-6 and/or 11-12 months. The infants were selected from a larger cohort
               for this exploratory study based on diverse microbiota compositions, including Bifidobacterium-dominated,
               Bacteroides-dominated, Enterobacteriaceae-dominated, and Clostridia-dominated communities to
               maximize the generality of the results despite the small sample size. All infants were breastfed at 5-6 months
               and ¾ infants at 11-12 months.

               Biomarker concentrations
               The average immune-related biomarker concentrations fluctuated during each time series, but typically did
               not show strong directional change. They did not differ by birth mode or infant age, apart from Cal, which
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