BioMed Research International / 2015 / Article / Tab 5 / Research Article
Comparison of Primary Models to Predict Microbial Growth by the Plate Count and Absorbance Methods Table 5 Growth rate values and their 95% confidence limits and coefficients of determination (
) and RMSE of fit obtained with three-phase linear, Gompertz, and Baranyi growth models for the growth curves of
Escherichia coli CECT 515 at 37°C in pH 5 TSB+YE inoculating 10
2 , 10
4 , and 10
6 CFU mL
−1 .
Initial concentration (CFU mL−1 ) Three-phase linear model Gompertz model Baranyi model Growth rate RMSE Growth rate RMSE Growth rate RMSE (OD units h−1 ) (OD units h−1 ) (OD units h−1 ) 102 0.076 (0.073–0.078) 0.988 0.0425 0.094 (0.092–0.097) 0.997 0.0346 0.091 0.993 0.0516 0.086 (0.084–0.088) 0.994 0.0295 0.100 (0.097–0.102) 0.998 0.0296 0.112 0.995 0.0469 0.091 (0.089–0.093) 0.995 0.0284 0.106 (0.103–0.108) 0.998 0.0283 0.112 0.995 0.0478 0.100 (0.096–0.105) 0.982 0.0516 0.118 (0.115–0.121) 0.998 0.0317 0.112 0.995 0.0456 0.082 (0.078–0.085) 0.990 0.0414 0.100 (0.097–0.102) 0.998 0.0319 0.116 0.996 0.0412 0.091 (0.088–0.094) 0.988 0.0478 0.114 (0.112–0.116) 0.999 0.0203 0.115 0.995 0.0453 0.095 (0.093–0.097) 0.994 0.0348 0.113 (0.112–0.115) 0.999 0.0179 0.113 0.995 0.0482 0.097 (0.095–0.099) 0.996 0.0230 0.111 (0.109–0.113) 0.999 0.0239 0.113 0.995 0.0465 0.102 (0.100–0.104) 0.998 0.0173 0.116 (0.114–0.118) 0.999 0.0204 0.111 0.995 0.0489 0.087 (0.085–0.089) 0.994 0.0300 0.100 (0.098–0.103) 0.998 0.0297 0.114 0.995 0.0475 0.109 (0.107–0.111) 0.997 0.0215 0.125 (0.122–0.127) 0.999 0.0217 0.109 0.995 0.0458 0.111 (0.108–0.114) 0.995 0.0285 0.126 (0.124–0.129) 0.999 0.0234 0.111 0.995 0.0444 0.114 (0.111–0.117) 0.994 0.0319 0.132 (0.129–0.136) 0.999 0.0269 0.113 0.994 0.0499 0.110 (0.106–0.114) 0.986 0.0516 0.132 (0.129–0.136) 0.999 0.0286 0.109 0.993 0.0543 0.116 (0.113–0.119) 0.994 0.0330 0.136 (0.133–0.139) 0.999 0.0224 0.104 0.994 0.0516 0.104 (0.101–0.106) 0.995 0.0318 0.120 (0.117–0.123) 0.998 0.0292 0.003 0.156 0.9944 0.107 (0.105–0.109) 0.997 0.0223 0.122 (0.120–0.124) 0.999 0.0215 0.110 0.995 0.0465 0.106 (0.104–0.109) 0.994 0.0332 0.122 (0.120–0.125) 0.999 0.0297 0.115 0.996 0.0443 0.106 (0.103–0.108) 0.993 0.0378 0.123 (0.120–0.126) 0.999 0.0264 0.109 0.995 0.0456 0.112 (0.106–0.118) 0.977 0.0629 0.136 (0.132–0.139) 0.999 0.0282 0.091 0.993 0.0501 0.085 (0.083–0.087) 0.990 0.0415 0.106 (0.104–0.108) 0.999 0.0240 0.083 0.991 0.0576 0.108 (0.106–0.110) 0.997 0.0223 0.121 (0.119–0.123) 0.999 0.0217 0.103 0.994 0.0499 0.084 (0.081–0.088) 0.984 0.0507 0.098 (0.095–0.102) 0.996 0.0440 0.098 0.994 0.0500 0.108 (0.106–0.110) 0.996 0.0260 0.125 (0.122–0.128) 0.999 0.0261 0.109 0.995 0.0458 0.108 (0.106–0.111) 0.996 0.0277 0.125 (0.123–0.128) 0.999 0.0262 0.098 0.993 0.0525 0.110 (0.106–0.114) 0.988 0.0484 0.132 (0.129–0.135) 0.999 0.0257 0.101 0.994 0.0498 0.109 (0.106–0.111) 0.994 0.0338 0.128 (0.125–0.131) 0.999 0.0259 0.102 0.993 0.0517 0.102 (0.100–0.104) 0.995 0.0264 0.116 (0.114–0.119) 0.999 0.0252 0.102 0.993 0.0536 0.104 (0.101–0.108) 0.991 0.0394 0.121 (0.118–0.124) 0.998 0.0329 0.104 0.994 0.0499 0.118 (0.115–0.121) 0.996 0.0275 0.137 (0.135–0.140) 0.999 0.0216 0.095 0.993 0.0510 104 0.090 (0.088–0.093) 0.993 0.0331 0.105 (0.102–0.107) 0.998 0.0319 0.090 0.996 0.0432 0.099 (0.096–0.102) 0.991 0.0429 0.120 (0.117–0.1229) 0.998 0.0292 0.106 0.996 0.0437 0.102 (0.099–0.104) 0.995 0.0283 0.117 (0.115–0.119) 0.999 0.0283 0.101 0.996 0.0477 0.101 (0.099–0.103) 0.995 0.0304 0.117 (0.115–0.120) 0.998 0.0290 0.104 0.996 0.0418 0.101 (0.099–0.104) 0.995 0.0283 0.115 (0.112–0.118) 0.998 0.0304 0.102 0.996 0.0452 0.102 (0.100–0.104) 0.996 0.0295 0.118 (0.115–0.121) 0.998 0.0302 0.105 0.996 0.0433 0.095 (0.093–0.098) 0.989 0.0464 0.116 (0.113–0.119) 0.998 0.0308 0.101 0.996 0.0476 0.101 (0.098–0.103) 0.995 0.0279 0.115 (0.112–0.117) 0.998 0.0283 0.100 0.996 0.0450 0.102 (0.100–0.104) 0.996 0.0257 0.116 (0.114–0.118) 0.999 0.0216 0.100 0.995 0.0477 0.074 (0.070–0.079) 0.950 0.1039 0.116 (0.113–0.118) 0.999 0.0249 0.100 0.995 0.0479 0.094 (0.091–0.096) 0.993 0.0315 0.110 (0.108–0.113) 0.998 0.0264 0.096 0.995 0.0465 0.098 (0.095–0.100) 0.992 0.0431 0.118 (0.115–0.120) 0.999 0.0258 0.103 0.996 0.0431 0.113 (0.111–0.116) 0.996 0.0264 0.131 (0.128–0.134) 0.999 0.0267 0.116 0.997 0.0427 0.111 (0.109–0.114) 0.995 0.0278 0.126 (0.123–0.130) 0.998 0.0286 0.111 0.996 0.0453 0.108 (0.106–0.110) 0.997 0.0231 0.123 (0.121–0.126) 0.999 0.0244 0.108 0.996 0.0444 0.112 (0.109–0.115) 0.992 0.0362 0.128 (0.124–0.131) 0.998 0.0338 0.113 0.996 0.0452 0.110 (0.107–0.112) 0.996 0.0256 0.125 (0.122–0.128) 0.999 0.0280 0.111 0.996 0.0429 0.105 (0.102–0.107) 0.995 0.0302 0.123 (0.121–0.126) 0.999 0.0239 0.107 0.996 0.0460 0.111 (0.107–0.116) 0.982 0.0638 0.140 (0.137–0.143) 0.999 0.0275 0.124 0.996 0.0443 0.119 (0.117–0.121) 0.997 0.0225 0.137 (0.134–0.140) 0.999 0.0265 0.122 0.997 0.0400 0.117 (0.113–0.120) 0.992 0.0399 0.140 (0.137–0.143) 0.999 0.0236 0.123 0.996 0.0454 0.120 (0.118–0.122) 0.998 0.0218 0.138 (0.135–0.142) 0.999 0.0260 0.123 0.997 0.0401 0.120 (0.117–0.122) 0.996 0.0274 0.137 (0.134–0.140) 0.999 0.0271 0.120 0.996 0.0471 0.116 (0.113–0.119) 0.995 0.0304 0.132 (0.129–0.135) 0.999 0.0249 0.117 0.997 0.0397 0.120 (0.117–0.123) 0.994 0.0329 0.137 (0.133–0.141) 0.998 0.0326 0.123 0.997 0.0424 0.117 (0.114–0.119) 0.997 0.0247 0.135 (0.132–0.138) 0.999 0.0239 0.121 0.997 0.0374 0.105 (0.101–0.109) 0.980 0.0715 0.137 (0.133–0.141) 0.998 0.0292 0.123 0.997 0.0371 0.112 (0.110–0.114) 0.997 0.0216 0.128 (0.125–0.130) 0.999 0.0218 0.112 0.996 0.0458 0.120 (0.117–0.122) 0.996 0.0278 0.137 (0.134–0.140) 0.999 0.0249 0.120 0.996 0.0449 0.109 (0.106–0.112) 0.993 0.0318 0.124 (0.121–0.126) 0.999 0.0246 0.105 0.994 0.0531 106 0.092 (0.089–0.096) 0.989 0.0400 0.112 (0.109–0.114) 0.998 0.0269 0.091 0.993 0.0516 0.114 (0.111–0.117) 0.994 0.0302 0.130 (0.126–0.134) 0.998 0.0325 0.112 0.995 0.0469 0.101 (0.096–0.105) 0.979 0.0667 0.130 (0.127–0.134) 0.998 0.0278 0.112 0.995 0.0478 0.115 (0.112–0.117) 0.996 0.0248 0.129 (0.126–0.132) 0.998 0.0267 0.112 0.995 0.0456 0.112 (0.109–0.115) 0.995 0.0310 0.131 (0.128–0.135) 0.998 0.0303 0.116 0.996 0.0412 0.115 (0.113–0.117) 0.996 0.0245 0.132 (0.129–0.135) 0.999 0.0259 0.115 0.995 0.0453 0.117 (0.114–0.119) 0.997 0.0243 0.131 (0.128–0.135) 0.998 0.0280 0.113 0.995 0.0482 0.113 (0.110–0.115) 0.995 0.0319 0.130 (0.126–0.134) 0.998 0.0321 0.113 0.995 0.0465 0.114 (0.112–0.117) 0.995 0.0294 0.130 (0.126–0.133) 0.998 0.0298 0.111 0.995 0.0489 0.114 (0.111–0.117) 0.995 0.0282 0.132 (0.129–0.134) 0.998 0.0284 0.114 0.995 0.0475 0.111 (0.108–0.113) 0.997 0.0223 0.127 (0.124–0.130) 0.998 0.0269 0.109 0.995 0.0458 0.112 (0.109–0.115) 0.995 0.0292 0.128 (0.125–0.132) 0.998 0.0309 0.111 0.995 0.0444 0.116 (0.114–0.118) 0.997 0.0227 0.131 (0.128–0.135) 0.998 0.0261 0.113 0.994 0.0499 0.069 (0.063–0.074) 0.903 0.1575 0.129 (0.127–0.132) 0.999 0.0248 0.109 0.993 0.0543 0.108 (0.106–0.111) 0.996 0.0250 0.123 (0.120–0.126) 0.999 0.0243 0.104 0.994 0.0516 0.120 (0.117–0.122) 0.995 0.0289 0.137 (0.133–0.140) 0.998 0.0291 0.003 0.156 0.9944 0.112 (0.110–0.115) 0.996 0.0250 0.127 (0.124–0.131) 0.998 0.0289 0.110 0.995 0.0465 0.113 (0.111–0.116) 0.996 0.0279 0.132 (0.129–0.136) 0.998 0.0284 0.115 0.996 0.0443 0.102 (0.098–0.106) 0.987 0.0494 0.126 (0.123–0.129) 0.998 0.0261 0.109 0.995 0.0456 0.086 (0.082–0.089) 0.982 0.0543 0.109 (0.106–0.112) 0.998 0.0278 0.091 0.993 0.0501 0.079 (0.076–0.083) 0.975 0.0603 0.101 (0.098–0.105) 0.997 0.0353 0.083 0.991 0.0576 0.106 (0.104–0.109) 0.995 0.0286 0.122 (0.119–0.125) 0.998 0.0281 0.103 0.994 0.0499 0.102 (0.099–0.105) 0.993 0.0306 0.117 (0.114–0.119) 0.998 0.0261 0.098 0.994 0.0500 0.111 (0.108–0.113) 0.996 0.0234 0.127 (0.124–0.130) 0.999 0.0251 0.109 0.995 0.0458 0.102 (0.099–0.105) 0.992 0.0345 0.119 (0.116–0.121) 0.999 0.0240 0.098 0.993 0.0525 0.104 (0.101–0.107) 0.993 0.0293 0.119 (0.116–0.122) 0.998 0.0258 0.101 0.994 0.0498 0.071 (0.066–0.076) 0.931 0.1209 0.121 (0.118–0.124) 0.998 0.0250 0.102 0.993 0.0517 0.105 (0.102–0.108) 0.994 0.0312 0.122 (0.119–0.125) 0.998 0.0266 0.102 0.993 0.0536 0.106 (0.103–0.109) 0.993 0.0341 0.123 (0.120–0.126) 0.998 0.0270 0.104 0.994 0.0499 0.094 (0.091–0.098) 0.989 0.0399 0.114 (0.111–0.117) 0.998 0.0292 0.095 0.993 0.0510
