- Part 1: Introduction
- Part 2: Past work
- Part 3: Norovirus
- Part 4: Influenza
- Part 5: More stuff
2022-04-19 14:19:44
Adenovirus type 5 (ADV) infections of cotton rats.
˙U=−bUV˙I=bUV−dI˙V=pI−cV
Human parainfluenza virus (HPIV) in cotton rats
Uninfected cells˙U=−bUVInfected cells˙I=bUV−dIIDead cells˙D=dIIVirus˙V=pI1+sFF−(dVV+k′AA+b′U)VInnate response˙F=pF−dFF+gF(Fmax−F)VV+hVB cells˙B=FVFV+hFgBBAntibodies˙A=rAB−dAA−kAAV
Model fit to HPIV data
Conceptual model suggests that protection (and morbidity) could be peaked.
Likelihood: yi∼Normal(μi,σ)Linear model: μi=αi+βxiPriors: σ∼Half-Cauchy(0,2)β∼Normal(0,1)αi∼Normal(δ,γ)δ∼Normal(25,5)γ∼Half-Cauchy(0,2)
Additional details for time-series data fitting
Likelihood: yi,t∼Normal(μi,t,σ)Time-series model: μi,t=log(miexp(−dit)1+exp(−gi(t−si)))Parameter equations: pi=p0,i+p1xigi=g0,i+g1xiTi=T0,i+s1xidi=d0,i+d1xi
Population-level priors for dose parameters. Multi-level, adaptive priors for intercept parameters.
Question: What is the impact of standard dose (SD) versus high dose (HD) vaccine on antibodies?
We investigate 4 antibody titer outcomes for each strain:
All HAI titer dilution values are converted to a scale from 0 - N with limit of detection = 0, lowest dilution (1:10) = 1, etc. up to highest dilution (1:20480) = 12.
Median and 89% equal-tailed credible interval
For teaching (mature):
For research (WIP):