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. 2010 Mar 15;54(6):2330–2337. doi: 10.1128/AAC.00331-09

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
a

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).

b

(…) 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.