Gamma_T_pH_aw: This model describe the evolution of the square root of the...

In Ghayabh/predictive-microbiology: bacterialgrowth Package

Description

This model describe the evolution of the square root of the maximum specific growth rate (sqrtmumax) as a function of temperanture, pH & water activty(aw), It is a cardinal model based on the gamma concept, developed by Pinon et al. in 2004 with 9 parameters (Tmin, Topt, Tmax, pHmin, pHopt, pHmax, awmin, awopt, muopt)

Usage

Gamma_T_pH_aw(
  T,
  Tmin,
  Tmax,
  Topt,
  pH,
  pHmin,
  pHmax,
  pHopt,
  aw,
  awmin,
  awmax,
  awopt,
  muopt
)

Arguments

T	Temperature # a number
Tmin	Minimal growth temperature #a number
Tmax	Maximal growth temperature # a number
Topt	Optimal growth temperature #a number
pH	pH #a number
pHmin	Minimal growth pH #a number
pHmax	Maximal growth pH #a number
pHopt	Optimal growth pH #a number
aw	Water activity #number
awmin	Minimal growth water activity # a number
awmax	Maximal growth water activity # a number
awopt	Optimal growth water activity # a number
muopt	Optimal growth rate # a number # a number

Details

\begin{equation}\begin{array}{l} \mathrm{cpm}_{-} \mathrm{T}_{-} \mathrm{pH}_{-} \mathrm{aw}<-\text { as.formula(sqrtmumax }^{\sim} \operatorname{sqrt}(((\mathrm{T}>= \\ \mathrm{Tmin}) \&(\mathrm{T}<=\mathrm{Tmax}) \&(\mathrm{pH}>=\mathrm{pHmin}) \&(\mathrm{pH}<= \\ (\mathrm{pHmax})) \&(\mathrm{aw}>=\mathrm{awmin}))^{*} \text { muopt }^{*}(\mathrm{T}-\mathrm{Tmax})^{*}(\mathrm{T}- \\ \mathrm{Tmin})^{\wedge} 2 /≤ft((\mathrm{Topt}-\mathrm{Tmin})^{*}≤ft((\mathrm{Topt}-\mathrm{Tmin})^{*}(\mathrm{T}-\mathrm{Topt})-\right.\right. \\ ≤ft.≤ft.(\mathrm{Topt}-\mathrm{Tmax})^{*}≤ft(\mathrm{Topt}+\mathrm{Tmin}-2.0^{*} \mathrm{T}\right)\right)\right)^{*}(\mathrm{pH}-\mathrm{pHmin}) \\ *(\mathrm{pH}-\mathrm{pHmax}) /≤ft((\mathrm{pH}-\mathrm{pHmin})^{*}(\mathrm{pH}-\mathrm{pHmax})-(\mathrm{pH}-\right. \\ ≤ft.\mathrm{pHopt})^{\wedge} 2\right)^{*}(\mathrm{aw}-1)^{*}(\mathrm{aw}-\mathrm{awmin})^{\wedge} 2 /( \text { (awopt - } \\ \mathrm{awmin})^{*}≤ft((\text { awopt - awmin })^{*}(\mathrm{aw}-\text { awopt })-(\text { awopt - } 1)\right) \\ ≤ft.≤ft.≤ft.≤ft.*≤ft(\mathrm{awopt}+\mathrm{awmin}-2.0^{*} \mathrm{aw}\right)\right)\right)\right)\right) \end{array}\end{equation}

Value

mumax #maximum growth rate # a number

Examples

Gamma_T_pH_aw(10,4,45,37,5,4,9,7,0.92,0.90,0.98,0.97,0.5)

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