Proba_aw: This function describes the evolution of the single-cell...

In Ghayabh/bacterial-growth: bacterialgrowth Package

Description

This function describes the evolution of the single-cell growth probability with water activity (aw). For this, we used the model proposed by Jean Christophe Augustin and Aurelia Czarnecka-Kwasiborski in 2012, to describe the increase of the probability from 0 to 1 with increasing values of aw.

Usage

Proba_aw(aw, awinf, awsup)

Arguments

aw	water activity value #a number
awinf	The cellular minimal value of aw for growth # a number
awsup	The cellular maximal value of aw for growth # a number

Details

\begin{equation}p≤ft(\mathrm{a}_{\mathrm{w}}\right)=≤ft\{\begin{array}{ll} 0, & \mathrm{a}_{\mathrm{w}} ≤q \mathrm{a}_{\mathrm{w}, \mathrm{inf}} \\ \frac{\mathrm{a}_{\mathrm{w}}-\mathrm{a}_{\mathrm{w}, \mathrm{inf}}}{\mathrm{a}_{\mathrm{w}, \mathrm{sup}}-\mathrm{a}_{\mathrm{w}, \mathrm{inf}}}, & \mathrm{a}_{\mathrm{w}, \text { inf }}<\mathrm{a}_{\mathrm{w}}<\mathrm{a}_{\mathrm{w}, \text { sup }} \\ 1, & \mathrm{a}_{\mathrm{W}} ≥q \mathrm{a}_{\mathrm{w}, \text { sup }} \end{array}\right.\end{equation}

Value

proba_aw_Aug The single-cell growth probability # a number

Ghayabh/bacterial-growth documentation built on Dec. 31, 2020, 12:04 p.m.