TABLE 2.
Probability that the MIC will increase every week in exposed individuals
Initial MIC (mg/liter) | Probability of a final MIC (mg/liter) of: |
|||||||||
---|---|---|---|---|---|---|---|---|---|---|
0.0625 | 0.125 | 0.25 | 0.5 | 1 | 2 | 4 | 8 | 16 | 32 | |
0.0625 | 1 − (…)b | pa | p/4 | p/16 | p/64 | p/256 | 0 | 0 | 0 | 0 |
0.125 | 1 − (…) | p/2 | p/8 | p/32 | p/128 | 0 | 0 | 0 | 0 | |
0.25 | 1 − (…) | p/4 | p/16 | p/64 | p/256 | 0 | 0 | 0 | ||
0.5 | 1 − (…) | p/8 | p/32 | p/128 | 0 | 0 | 0 | |||
1 | 1 − (…) | p/16 | p/64 | p/256 | 0 | 0 | ||||
2 | 1 − (…) | p/32 | p/128 | 0 | 0 | |||||
4 | 1 − (…) | p/64 | p/256 | 0 | ||||||
8 | 1 − p/128 | p/128 | 0 | |||||||
16 | 1 − p/256 | p/256 | ||||||||
32 | 1 |
p is the probability that strains colonizing an individual will mutate from a susceptible level to the lowest nonsusceptible level: p = P(0.063 → 0.125). Because the MIC is measured on a logarithmic scale, we supposed that P(0.125 → 0.25) = p/2, P(0.25 → 0.5) = p/4, and so on. p was fixed to fit historical data on the emergence of S. pneumoniae resistance between the introduction of penicillin in the 1950s and 1993 (p = 2 × 10−5).
(…) defines, for each row, the sum of all increasing MIC probabilities. Thus, the sum of all probabilities on a given line of the table is equal to 1.