Table 2. The simulation model and formulas in a Microsoft Excel® spreadsheet used to calculate the risk of Escherichia coli in processed cheese by means of the @RISK software

Input Model Unit Code Formula References
PRODUCT
Product
Pathogen Contamination
level
Non-EHEC E. coli PR =RiskBeta(1,309) Vose (1998)
prevalence
Concentration CFU/g C =RiskUniform(0,2.8) Vose (1998)
Initial contamination level CFU/g IC =PR×C Vose (1998)
Log CFU/g log(IC) =log(PR×C)
TRANSPORTATION
Transportation time h timetrans =RiskPert(1,3,6) Personal communicationa
Food temperature °C Temptrans =RiskPert(0,4,10) Personal communicationa
during transportation
Growth
h0 Log CFU/g h0 =average(growth rate×lag time), Fixed 0.65 MFDS (2013),
Baranyi and Roberts (1994)
Y0 Log CFU/g Y0 =average(Y0i), Fixed 3.11 MFDS (2013),
Baranyi and Roberts (1994)
Yend Log CFU/g Yend =average(Yendi), Fixed 7.32 MFDS (2013),
Baranyi and Roberts (1994)
ln(q) ln(q) =LN{1/[EXP(h0)−1]} MFDS (2013),
Baranyi and Roberts (1994)
Lag time h TransLt =IF{Temptrans>4, MFDS (2013)
  [1/(−0.0826+0.0275×Tempcar)]2, 1320}
Growth rate Log CFU/g/h TransGr =IF(Temptrans>8.6,0.0036−0.0030×Temptrans+ MFDS (2013)
  0.0004×Temptrans2, 0) Ratkowsky et al. (1982)
Non-EHEC Log CFU/g C1 =IC+1/{1+EXP[−ln(q)]}×[1−10−|Y0−Yend|/ MFDS (2013)
E. coli growth   LN(10)]×TransGr×timetrans Baranyi and Roberts (1994)
MARKET
Market storage
Storage time h Market-timest =RiskPert(0,2,48) Personal communicationb
Food temperature °C Mark-Tempst =RiskUniform(2,4) Personal communicationb
during storage
Growth
h0 Log CFU/g h0 =average(growth rate×lag time), Fixed 0.65 MFDS (2013),
Baranyi and Roberts (1994)
Y0 Log CFU/g Y0 =average(Y0i), Fixed 3.11 MFDS (2013),
Baranyi and Roberts (1994)
Yend Log CFU/g Yend =average(Yendi), Fixed 7.32 MFDS (2013),
Baranyi and Roberts (1994)
ln(q) ln(q) =LN{1/[EXP(h0)−1]} MFDS (2013),
Baranyi and Roberts (1994)
Lag time h Markst−TimeLt =IF{Mark−Tempst>4, MFDS (2013)
  [1/(−0.0826+0.0275×Mark−Tempst)]2, 1320}
Growth rate Log CFU/g/h Markst−RGr =IF(Mark−Tempst>8.6,0.0036−0.0030× MFDS (2013)
  Mark−Tempst+0.0004×Mark−Tempst2, 0) Ratkowsky et al. (1982)
Non-EHEC Log CFU/g C2−1 =C1+1/{1+EXP[−ln(q)]}×[1−10−|Y0−Yend|/ MFDS (2013)
E. coli growth   LN(10)]×Mark−RGr×Mark−timest Baranyi and Roberts (1994)
Market display
Storage time h Mark−timedis =RiskPert(0,48,168) Personal communicationb
Food temperature °C Mark−Tempdis =RiskTriang(0.60703,4.1000,15.18) Lee et al. (2015)
during storage
Growth
h0 Log CFU/g h0 =average(growth rate×lag time), Fixed 0.65 MFDS (2013),
Baranyi and Roberts (1994)