Gamma_aw_3p: this function of secondary growth model describe the...

In Ghayabh/predictive-microbiology: bacterialgrowth Package

Description

this function of secondary growth model describe the evolution of the square root of the maximum specific growth rate (sqrtmumax) as a function of water activity (aw), This is a symetric cardinal pH model developped by Rosso & Robinson in 2001 with three parameters (awmin, awopt, muopt)

Usage

Gamma_aw_3p(aw, awmin, awopt, muopt)

Arguments

aw	water activity #a number
awmin	minimal growth water activity # a number
awopt	optimal growth water activity # a number
muopt	Optimal growth rate # a number # a number

Details

\begin{equation}\begin{aligned} &\begin{array}{l} \mathrm{cpm}_{-} \mathrm{aw}_{-} 3 \mathrm{p}<-\text { as.formula }≤ft(\mathrm{sqrtmumax}^{\sim} \underline{\mathrm{sqrt}}(\mathrm{aw}>=\mathrm{awmin})^{*} \text { muopt }^{*}(\mathrm{aw}-1)^{*}≤ft(\mathrm{aw}^{-}\right.\right. \\ \text {awmin } )^{\wedge} 2 /≤ft((\text { awopt }-\mathrm{awmin})^{*}≤ft((\text { awopt }-\mathrm{awmin})^{*}(\mathrm{aw}-\mathrm{awopt})-(\mathrm{awopt}-1)^{*}(\text { awopt }+\right.\right. \end{array}\\ &\text { awmin }-2.0 * \mathrm{aw} \text { ) }))) \end{aligned}\end{equation}

Value

mumax #maximum growth rate # a number

Examples

Gamma_aw_3p(0.95,0.90, 0.98, 0.5)

Ghayabh/predictive-microbiology documentation built on Nov. 14, 2020, 7:54 p.m.