Skip to content

Commit

Permalink
math rendering typo
Browse files Browse the repository at this point in the history
  • Loading branch information
famulare committed Jan 17, 2024
1 parent 10762ab commit f0fa70c
Showing 1 changed file with 1 addition and 1 deletion.
Original file line number Diff line number Diff line change
Expand Up @@ -16,7 +16,7 @@ Dose response models capture the probability of infection as a function of dose.

The simplest dose response model is exponential, based on the Poisson distribution, where the probability of infection is the probability that at least one viral infectious unit sucessfully initiates infection, $1-\exp(-rD)$, where $r\in(0,1)$ is the average probability of causing an infection per infectious unit and $D$ is the number of infectious units---aka the dose. A better model which accounts for heterogeneities in response across people to a measured dose is the beta-Poisson model, which assumes that the rate $r$ is itself beta-distributed. For a detailed discussion of the meaning of the beta-Poisson model in the context of parameter inference, see [Schmidt *et al* 2013](https://pubmed.ncbi.nlm.nih.gov/23311599/).

I kept saying "infectious unit" above because there are different definitions. One intuitively might thing we count the number of viral particles and talk about infectiousness per virion, but that is rarely measured because it's hard and [not often clear that it's the right thing biologically anyway](https://www.nature.com/articles/d41586-019-01880-6). More common is to use a reference standard, like the cell culture infectious dose that causes 50\% of cell culture plates using a standarized assay get infected when exposed to virus. This measure, abbreviated CCID50, is much more commonly measured in the lab and used.
I kept saying "infectious unit" above because there are different definitions. One intuitively might thing we count the number of viral particles and talk about infectiousness per virion, but that is rarely measured because it's hard and [not often clear that it's the right thing biologically anyway](https://www.nature.com/articles/d41586-019-01880-6). More common is to use a reference standard, like the cell culture infectious dose that causes $50\%$ of cell culture plates using a standarized assay get infected when exposed to virus. This measure, abbreviated CCID50, is much more commonly measured in the lab and used.

## Back to polio

Expand Down

0 comments on commit f0fa70c

Please sign in to comment.