The Correlated Beta Dose Optimisation Approach: Optimal Vaccine Dosing Using Mathematical Modelling and Adaptive Trial Design

. 2022 Oct 30;10(11):1838. doi: 10.3390/vaccines10111838

Algorithm 1. Update rule for uncorrelated Beta distributions

This rule is for updating the beta distribution for the probability of observing response

r

for some dose

d_{i}

based on the

(n + 1) t h

data point. Let this

(n + 1) t h

data point had dose

d_{j}

BEGIN ALGORITHM

d_{i} = d_{j}

If response

r

was observed for individual

n + 1

Set

α_{i, r}^{n + 1} = α_{i, r}^{n} + 1

Set

β_{i, r}^{n + 1} = β_{i, r}^{n}

Else (response

r

was not observed for individual

n + 1

)

Set

α_{i, r}^{n + 1} = α_{i, r}^{n}

Set

β_{i, r}^{n + 1} = β_{i, r}^{n} + 1

Else (

d_{i} \neq d_{j})

Set

α_{i, r}^{n + 1} = α_{i, r}^{n}

Set

β_{i, r}^{n + 1} = β_{i, r}^{n}

END ALGORITHM