The smallest phase (P3) is then merged with the neighboring growth phase (P2) because the maximum growth rate ( r) for the smallest phase around 16 h is closer to the growth rate at its left bound around 13 h ( t 0) than it is to its final growth rate at its right bound at 21.7 h ( t n) (B, step 5). The smallest growth phase (P3) does not meet the arbitrary threshold of producing 20% or higher growth relative to the primary growth phase (P1) (step 4). In this example, the growth phases are ranked in ascending order as P3, P2, P1. Potential growth phases are then ranked based on carrying capacity ( K) or change in OD during their time intervals (A, step 3). Each potential growth phase is bounded by two positive inflection points that correspond to valleys in the first-order derivative (B, step 2). AMiGA determined all potential growth phases based on inflection points, which are defined as the time points at which the second-order derivative equals zero (red points in C). difficile isolate, on sorbitol in Biolog PM1 plates. Here, we analyze the growth of CD2015, a ribotype 027 C. Illustration of diauxic shift detection algorithm using first- and second-order derivatives of growth.
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