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Predictive Modeling for Listeria monocytogenes as a ... - jifsan

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Buchanan three-linear ph<strong>as</strong>e<br />

• Buchanan et al. (1997) described bacterial growth in a very<br />

simple three-linear ph<strong>as</strong>e model. Lag ph<strong>as</strong>e:<br />

• For N t = N o<br />

• Exponential growth ph<strong>as</strong>e:<br />

• For N t = N o + µ(t-t LAG )<br />

• Stationary ph<strong>as</strong>e:<br />

• For N t = N MAX<br />

• Where N t is the log of the population density at time t ; N o<br />

the log of the initial population density; N MAX the log of the<br />

maximum population density; t the elapsed time; t LAG the<br />

time when the lag ph<strong>as</strong>e ends; t MAX the time when the<br />

maximum population density is reached; and µ is the specific<br />

growth rate (log cfu ml -1 h -1 ).

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