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Table 2 Selected mathematical model for characterizing kinetic growth

From: A novel coconut-malt extract medium increases growth rate of morels in pure culture

Mathematical model Mathematical expression
Linear model \(y\left( t \right) = \mu_{max} t + y_{max}\)
Baranyi’s model \(y\left( t \right) = y_{max} + {\text{ln}}\left( {\frac{{ - 1 + e^{{\mu_{max} \lambda }} + e^{{\mu_{max } t}} }}{{\left( { - 1 + e^{{\mu_{max} t}} } \right) + e^{{\left( {\mu_{max} \lambda + y_{max} - y_{0} } \right)}} }}} \right)\)
Logistic modified model \(y\left( {t_{max} } \right) = \frac{A}{{1 + e^{{\left[ {\frac{{4\mu_{max} }}{A}\left( {\lambda - T} \right) + 2} \right]}} }}\)