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Advanced Neurology                                               Neurological adverse events post-vaccination



            can be lost against background frequencies of AEs as   2.2. Adverse events following immunization
            the number of days considered increases. The observed   Adverse events following immunization can be represented
            highest reports of neurological AEs on day 0 may   by  the  following  equation  for  a  population  subset
            simply reflect reporting bias. The observed frequencies   immunized (P), AE (X), (n) days, reporting bias ( r ) for
                                                                                                        X
                                                                                                        i
            of AEs for each vaccine should represent background   the i  day post-immunization, vaccine-associated AEs
                                                                   th
            frequencies with expected random variations. Higher   reported on the i  day post-immunization (v ), and daily
                                                                                                   X
                                                                            th
            associated frequencies of AEs likely represent potential               X               i
            safety signals worthy of further investigations such   background rate of AE (b ) (Equation I).
            as proportional reporting ratio, Bayesian, or causality                  n days
                                                                                              X
                                                                             ( )= P*
                                                                                         r
            assessments. Performing surveillance on VAERS can     Adverse event  X   [   Σ i X  ( * v + b X ) ]  (I)
                                                                                              i
            help discover safety signals not detected in pre-market                   i=0
            testing that warrant further investigations. Therefore,   Day 0 (the first 24 h) following immunization can be
            in this study, neurological AEs within VAERS were   examined to solve for the term   X (Equation II):
            examined retrospectively. Neurological AEs reported                         v 0
                                                                                            X
                                                                                                       X
            following immunization were compared across multiple   Adverse event  ( withinX    24  h )= AE  = P* r *  (v +b X )
                                                                                                   X
                                                                                           0
                                                                                                  0
                                                                                                      0
            vaccines. Normalized neurological AE frequencies,
            both by the age group and also by onset within 24 h of                                         (II)
            immunization, were examined. Findings from this study   Immunization-associated AEs (X) are detectable when
            can help formulate strategies to reduce reporting bias   v X  > 0 (when the number of AEs exceeds the background
                                                                0
            and background events.                             rate within 24 h of immunization).
            2. Materials and methods                             When there is no immunization-associated AE (X), the
                                                               number of AEs is the background AEs (Equation III).
            2.1. Materials
                                                                  Background adverse events
            The  VAERS  database   was  retrospectively  examined  for            X      X  X
                             19
            the neurological AEs designated by the following Medical   ( within 24X      h )= AE  = P* r * b  (III)
                                                                                        0
                                                                                  0
            Dictionary for Regulatory Activities (MedDRA)  codes:   The VAERS reports represent only a subset of the
                                                   43
            Abnormal behavior, antisocial behavior, aphasia, autism or   population vaccinated with one or more symptoms
            ASD (combined), cognitive disorder, convulsion or seizure   a
            (combined), coordination abnormal, delirium, depression,   ( P 1+ symptoms  ) with the true population size for a vaccine
            encephalopathy, encephalitis, febrile convulsion, meningitis,   represented in Equation IV.
            mental disorder, mental impairment, mental status changes,   Population size (P) for vaccine (a):
            metabolic encephalopathy, nervous system disorder,
                                                                        a
                                                                                  a
                                                                    a
            neurodevelopmental  disorder,  psychomotor  hyperactivity,     P = P 1+ symptoms + P No symptoms  (IV)
            speech disorder, staring, and tinnitus. Within the VAERS   Comparisons between different vaccines (a and b) for
            data records, usage of “convulsion” was transitioned to   the same AE are represented by Equation V.
            “seizure,” and “autism” to “ASD.” Syncope was also included
            for comparisons with seizure. The downloaded VAERS data   Adverse events comparison between vaccines
            includes all AEs reported from 1990 to November 3, 2023.               P * r X  ( * v a:X  +b X )
                                                                                     a
            The Ruby program named vaers_slice4.rb  was used to tally   (a,b : X  within 24  h )=   1+  0  0  (V)

                                            44
                                                                                     b
            selected reported vaccine AEs by vaccine, day of onset, year,          P * r 0 X  ( * v b:X  +b X )
                                                                                    1+
                                                                                            0
            and age. The vaers_slice4.rb program takes a list of one or more
                                                                              a
                                                                                   b
            AE names as input, and characterizing them with the VAERS   Note that when P>>P , the ratios between multiple AEs (X,
                                                                             1
                                                                                   1
                                                                                    +
                                                                              +
            data files. The output from vaers_slice4.rb consists of multiple
                                                                                                     a
                                                                                                         b
            reports: summaries by vaccine, summary by year, summaries   Y, Z,  etc.) will appear similar reflecting the  ratio  P / P . In
                                                                                                     1+
                                                                                                         1+
            by vaccine age, summaries by day of onset of symptoms by   general, when   a:X  b:X  a:X  b:X
            (i) dose and sex and (ii) vaccine type, and two summaries of   AE 0  >> AE 0  , then v 0   >> v 0 .
            additional symptoms reported (selected symptoms and all   3. Results
            other symptoms). The output from vaers_matrix.rb consists
            of multiple reports: summary by vaccine and dose, summary   3.1. Day 0 onset safety signals
            by vaccine and year, summary by vaccine and AEs, summary   The VAERS database was data mined with vaers_slice4.
                                                                 44
            by vaccine and day of onset, and summary by vaccine and age.  rb  for selected neurological AEs and vaers_matrix.
            Volume 3 Issue 1 (2024)                         3                         https://doi.org/10.36922/an.2258
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