Proba_pH: 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 pH. 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 pH.

Usage

Proba_pH(pH, pHinf, pHsup)

Arguments

pH	pH value # a number
pHinf	The cellular minimal pH for growth # a number
pHsup	The cellular maximal pH for growth # a number

Details

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

Value

proba_pH_Aug The single-cell growth probability # a number

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