The
infectious unit for microorganisms is the single cell.
Although the risk of becoming infected by a single cell
is very small, it is not zero.
The
key to predicting risk for the individual consumer is
predicting exposure. A caveat must be added here;
this discussion is directed at infectious foodborne pathogens
and not toxigenic pathogens. The toxigenic pathogens like
Staphylococcus aureus may be subjected to minimum
dose considerations because there must be sufficient microbial
growth to produce enough enteric toxin to achieve a response.
So, the rest of this example will be concerned with infectious
foodborne pathogens.
Exposure
is predicted using a mathematical model because it is
assumed that once a dose-response relationship between
pathogen and host has been quantified, the key to determining
risk is to determine the amount of infectious units ingested.
To do this, the growth of the pathogen under the conditions
present for a specific food and food process - whether
there is a lethality step and its effectiveness - is calculated
using a mathematical formula as a model.
The
most commonly used model is the beta Poisson distribution
Pi = 1 - (1 + N/B-a )
where
Pi is the probability of infection, N is the
exposure (or pathogen level expressed as colony-forming
units [CFU]), and alpha and beta are coefficients
peculiar to the pathogen being examined.
Using
this equation, the probability of infection (Pi)
of Rotavirus is 3 X 10-1, and that for Shigella
spp. is 1 X 10-3, making Rotavirus more
infectious than Shigella spp..
This
methodology has been used extensively in the canning industry
since this industry began; it is especially useful in
low-acid canning processes because pH is not an inhibiting
factor for Clostridium botulinum as it is in the
normal canning processes. In the canning industry,
there are Process Authorities that determine time and
temperature requirements for retorting (cooking the product
in its container in, typically, a water bath), taking
into account product viscosity, product composition, fill
times, head space, et cetera. All use mathematical
models.