(A) Hemagglutination inhibition (HI) titers against A(H3N2) strains at baseline. Each row shows an antibody profile for a participant. Participants are sorted by age (y-axis). Strains (x-axis) are …
Variance (%) explained by low frequencies and peak frequencies for Fourier spectra of individual residuals.
(A) Hemagglutination inhibition (HI) titers against A(H3N2) strains at follow-up. Each row shows an antibody profile for a participant. Participants are sorted by age (y-axis). Strains (x-axis) are …
(A-I) Random selected individuals from 777 participants with their ages shown shown in each panel. Light gray circles and dark gray triangles are antibody measures for baseline and follow-up visit, …
(A) Antigenic maps and locations of strains that were tested in our study. The antigenic map was generated using estimates by Fonville et al., 2014. We labeled our tested strains that were also …
(A) Simulated annual antibody profiles of a representative individual born in 1977 and who had four infections (1977, 1994, 2003, and 2006) (same as in D). Each row represents the antibody profile …
(A-I) Random selected individuals from 777 participants with their ages shown shown in each panel. Profiles are from the same individuals shown in Figure 1—figure supplement 2. Residuals were …
(A) Observed hemagglutination inhibition (HI) titers, estimated HI titers, and residuals. Estimations were derived from the generalized additive model (GAM) of log HI titers on age at sampling …
777 time series were simulated, and the lengths and resolutions of the time series were the same as the data. Colored lines are distributions of peak frequencies for yearly interpolation of the …
A sine curve with predefined periodicity and white noise was simulated on a yearly basis, and values for the time points when tested A(H3N2) strains were isolated were extracted. 777 time series …
(A) Distribution of weighted frequencies of individual Fourier spectra at baseline. We performed Fourier spectral analysis on the interpolated time series of residuals for each person and calculated …
Left columns represent time series of residuals before (green) and after (blue) detrending using EMD. The orange line indicates the nonlinear trend identified using EMD. Right columns represent the …
Light green lines indicate the distribution of peak frequencies in the data. Median (thick gray ticks), interquartile (gray bars), and 95% intervals (think gray ticks) of Fourier spectra from 1000 …
Dark green lines indicate the distribution of peak frequencies in the data. Median (thick gray ticks), interquartile (gray bars), and 95% intervals (think gray ticks) of Fourier spectra from 1000 …
(A) Serums collected at baseline. (B) Serums collected during the follow-up visit. We performed Fourier spectral analysis on the time series of residuals and extracted peak frequencies for a subset …
(A–F) show distributions of frequencies that explain the most variance across 69 individuals, whose serums were annually collected from 2007 to 2012. The Vietnam data was taken from Bedford et al., …
Colored lines are the distribution of peak frequencies detected in the simulated antibody profiles across individuals. Gray lines are the distributions of peak frequencies of the 1000 permutations …
Parameters used in the simulations.
Mechanisms examined in the simulations.
The black line in the top-left panel denotes pre-season (e.g., 2003) antibody profile, from which the titer of the circulating strain (filled point) was used to determine the probability of …
Green and purple lines indicate the distribution of peak frequencies detected in the observed simulated antibody profiles across individuals. Gray lines are the distributions of peak frequencies of …
(A) Concept plot for phases. Four phases were classified based on the phase angles between 0 and 360°. (B) Illustration of predicting phase in 2012 using individual residuals from baseline …
Predictions of phases in 2012 were derived using hemagglutination inhibition (HI) titers against strains isolated between 1968 and 2002, assuming individual antibody responses with periodicity of 35 …