Trevor Bedford and Sidney Bell
6 Nov 2018
SMBE Satellite Workshop on Genome Evolution in Pathogen Transmission and Disease
Kyoto, Japan
Project to provide a real-time view of the evolving influenza population
in collaboration with Richard Neher
with John Huddleston and Richard Neher
"The future is here, it's just not evenly distributed yet"
— William Gibson
Clade frequencies $X$ derive from the fitnesses $f$ and frequencies $x$ of constituent viruses, such that
$$\hat{X}_v(t+\Delta t) = \sum_{i:v} x_i(t) \, \mathrm{exp}(f_i \, \Delta t)$$
This captures clonal interference between competing lineages
The fitness $f$ of virus $i$ is estimated as
$$\hat{f}_i = \beta^\mathrm{A} \, f_i^\mathrm{A} + \beta^\mathrm{B} \, f_i^\mathrm{B} + \ldots$$
where A, B, etc... are different standardized viral attributes
We learn $\beta$ coefficients from most recent 12 years of H3N2 evolution
Optimal $\beta$ coefficients minimize sum of squared errors between observed clade frequencies and frequency estimated in a 1-year look ahead
Fit to a subset of non-nested clades
Model | $\beta$ coefficient | Growth correlation | Growth accuracy |
---|---|---|---|
Antigenic drift based on HI model (cTiterSub) | 0.33 | 0.29 | 69% |
Cross-immunity based on epitope mutations (ep_x) | 0.50 | 0.18 | 60% |
Protein function based on deep mutational scanning (dms) | 0.20 | 0.01 | 57% |
Clade growth based on local branching index (lbi) | 0.39 | 0.30 | 61% |
Dengue (serotype 2)
Flu (H3N2)
DENV4-I associated with adverse events
Serotypes are genetically distinct
Serotypes are antigenically distinct
Clades are genetically distinct
Are clades antigenically distinct?
Interserotype hypothesis
Full tree hypothesis
PRNT50 titers from monovalent vaccine trials + nonhuman primates
Interserotype model
Full tree model
Dengue
Flu (H3N2)
Clade frequencies $X$ derive from the clade fitness $f_i$, such that
$$\hat{X}_i(t+\Delta t) = X_i(t) \, \mathrm{exp}(f_i \, \Delta t)$$
Estimate fitness as frequency-weighted antigenic distance*
from recently circulating clades
* estimated from the interserotype or full tree antigenic model.
Circulating clades:
Population immunity:
Population susceptibility:
Clade growth:
Interserotype model
Full tree model
Dengue serotype flux
62% of variation explained
5 year windows
Flu clade turnover
53% of variation explained
1 year windows
Similar models of antigenic evolution are effective
for pathogens with very different evolutionary dynamics
Prospective modeling can reveal relative contributions to viral fitness
Bedford Lab:
Alli Black,
Sidney Bell,
John Huddleston,
Barney Potter,
James Hadfield,
Louise Moncla,
Tom Sibley,
Maya Lewinsohn
Influenza: WHO Global Influenza Surveillance Network, GISAID, Richard Neher, John Huddleston, Barney Potter, James Hadfield, Rod Daniels, Boris Shraiman, Colin Russell, Andrew Rambaut, Dave Wentworth, Becky Garten, Jackie Katz, Marta Łuksza, Michael Lässig, Richard Reeve
Dengue: Leah Katzelnick, Molly O'hainle, Richard Neher, Paul Edlefsen, Michal Juraska