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MODULO III
INOCUIDAD Y DISEÑO DE PROCESOS EN LA INDUSTRIA
ALIMENTARIA
MODELAMIENTO MATEMATICO PARA EL DISEÑO DE
MEDIDAS PREVENTIVAS EN SISTEMAS DE GESTION DE
CALIDAD
MSc. JOSE MANUEL PRIETO
jmp743@yahoo.es
Jose.prieto@upeu.edu.pe
Jm.prieto@unaj.edu.pe
https://www.youtube.Jose Manuel Prieto (com/channel/UCEFgEiJq8DhQRSPo4Oi7owg?view_as=subscriber)
1.-INTRODUCCION
1.-INTRODUCCION
1.-INTRODUCCION
TIEMPO
CONCENTRACION
TEMPERATURA
ACCION
MECANICA
MATRIZ DE LIMPIEZA
1.-INTRODUCCION
2.- METODOLOGIA
MARCO
NORMATIVO
FDA
EFSA
DIGESA
HACCP
FSMA
HARCP
PALABRAS
CLAVES
PREVENCION
RIESGO
MONITOREO
VALIDACION
PREVENCION
VALIDACION
VIRTUAL
FISICA
VIRTUAL
FISICA
SENSORES
QUIMIOMETRIA
ATP
3M
ISOPADOS
CULTIVOS
ESPACIO MODELO
VARIABLES DE OPERACIÓN:
DEL PROCESO, RESPUESTA,
DEPENDIENTES,
INDEPENDIENTES,
CONSTANTES FISICAS,
CONSTANTES CINETICAS,
CONSTANTES QUIMICAS
ECUACION DE GOBIERNO
ECUACION DE GOBIERNO
RECURSOS EN LINEA GRATUITOS DE SOLUCIONES DE MODELOS PREDICTIVOS
https://people.umass.edu/~aew2000/WolframDemoLinks.html
https://www.combase.cc/index.php/en/
http://www.rpaulsingh.com/learning/virtual/experiments/pred
_microbiology/index.html
RECURSOS DIGITALES:
APLICACIONES EN HOJAS DE CALCULO
ChemicalDisinfectionData.xls
ChemicalDisinfection.xls
0
5
10
15
20
25
30
35
0 5 10 15 20 25 30 35 40
Concentration(ppm)
Time (min)
Concentration vs Time Profile
-6
-5
-4
-3
-2
-1
0
0 5 10 15 20 25 30 35 40
LogSurvival
Time (min)
Log Survival vs Time
ChemicalDisinfection.xlsTimeInit nPts Time Conc(Time) b(Conc(Time)) LS(Time) EqTime(Time)
Background 0 41 0 32 3.336219259 -0.01 0.000299541
How to run 1 28.9547974 2.899824736 -2.993374659 0.97440845
Modifications dt EqnRoot 2 26.1993841 2.514290092 -4.645745169 1.817661913
References 1 -4.31066E-08 3 23.7061831 2.176350642 -5.82721258 2.506659505
4 21.4502415 1.882633514 -6.719111284 3.067801255
TimeFinal LSCurr 5 19.4089811 1.629530117 -7.410096041 3.524746873
40 -11.17298377 6 17.5619724 1.413175697 -7.954596068 3.897694391
7 15.8907297 1.229528694 -8.389124261 4.203118247
LSInit LSPrev 8 14.3785269 1.074514402 -8.739912455 4.454575217
-0.01 -11.14318842 9 13.0102291 0.94418617 -9.026317812 4.663043548
10 11.7721421 0.834864578 -9.262839335 4.837305641
Chart Settings: n bSum 11 10.6518747 0.743232451 -9.460434826 4.984324613
TimeAxisMin 0.705 0.437894858 12 9.63821478 0.666381368 -9.627437935 5.109588608
0 13 8.72101738 0.601817123 -9.770220848 5.217409762
TimeAxisMax k bCurr 14 7.89110285 0.547436531 -9.893682352 5.311173929
40 0.15 0.218038375 15 7.14016512 0.501487796 -10.00161042 5.39354332
TimeAxisTitle 16 6.46068858 0.4625241 -10.09695261 5.466617498
Time (min) ConcCrit bPrev 17 5.84587277 0.429356852 -10.18201801 5.532059381
ConcAxisMin 10 0.219856484 18 5.28956442 0.401012365 -10.25862843 5.591192914
0 19 4.78619582 0.376693689 -10.32823174 5.645078324
ConcAxisMax ConcInit ConcCurr 20 4.33072906 0.355748114 -10.39198715 5.694569956
35 32 0.586100444 21 3.9186057 0.337640105 -10.45082961 5.7403607
ConcAxisTitle 22 3.54570107 0.321929104 -10.5055187 5.783016174
Concentration (ppm) DisipExpRate ConcPrev 23 3.208283 0.308251494 -10.55667589 5.823001098
ConcMainTitle 0.1 0.647741166 24 2.90297451 0.296306053 -10.60481314 5.860699726
Concentration vs Time Profile 25 2.62671996 0.285842242 -10.65035496 5.896431734
Solve
Clear
Modelamiento matematico - UNAJ

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Modelamiento matematico - UNAJ

  • 1. MODULO III INOCUIDAD Y DISEÑO DE PROCESOS EN LA INDUSTRIA ALIMENTARIA MODELAMIENTO MATEMATICO PARA EL DISEÑO DE MEDIDAS PREVENTIVAS EN SISTEMAS DE GESTION DE CALIDAD MSc. JOSE MANUEL PRIETO jmp743@yahoo.es Jose.prieto@upeu.edu.pe Jm.prieto@unaj.edu.pe https://www.youtube.Jose Manuel Prieto (com/channel/UCEFgEiJq8DhQRSPo4Oi7owg?view_as=subscriber)
  • 7. VIRTUAL FISICA SENSORES QUIMIOMETRIA ATP 3M ISOPADOS CULTIVOS ESPACIO MODELO VARIABLES DE OPERACIÓN: DEL PROCESO, RESPUESTA, DEPENDIENTES, INDEPENDIENTES, CONSTANTES FISICAS, CONSTANTES CINETICAS, CONSTANTES QUIMICAS ECUACION DE GOBIERNO
  • 9. RECURSOS EN LINEA GRATUITOS DE SOLUCIONES DE MODELOS PREDICTIVOS https://people.umass.edu/~aew2000/WolframDemoLinks.html https://www.combase.cc/index.php/en/ http://www.rpaulsingh.com/learning/virtual/experiments/pred _microbiology/index.html
  • 11. APLICACIONES EN HOJAS DE CALCULO ChemicalDisinfectionData.xls ChemicalDisinfection.xls 0 5 10 15 20 25 30 35 0 5 10 15 20 25 30 35 40 Concentration(ppm) Time (min) Concentration vs Time Profile -6 -5 -4 -3 -2 -1 0 0 5 10 15 20 25 30 35 40 LogSurvival Time (min) Log Survival vs Time ChemicalDisinfection.xlsTimeInit nPts Time Conc(Time) b(Conc(Time)) LS(Time) EqTime(Time) Background 0 41 0 32 3.336219259 -0.01 0.000299541 How to run 1 28.9547974 2.899824736 -2.993374659 0.97440845 Modifications dt EqnRoot 2 26.1993841 2.514290092 -4.645745169 1.817661913 References 1 -4.31066E-08 3 23.7061831 2.176350642 -5.82721258 2.506659505 4 21.4502415 1.882633514 -6.719111284 3.067801255 TimeFinal LSCurr 5 19.4089811 1.629530117 -7.410096041 3.524746873 40 -11.17298377 6 17.5619724 1.413175697 -7.954596068 3.897694391 7 15.8907297 1.229528694 -8.389124261 4.203118247 LSInit LSPrev 8 14.3785269 1.074514402 -8.739912455 4.454575217 -0.01 -11.14318842 9 13.0102291 0.94418617 -9.026317812 4.663043548 10 11.7721421 0.834864578 -9.262839335 4.837305641 Chart Settings: n bSum 11 10.6518747 0.743232451 -9.460434826 4.984324613 TimeAxisMin 0.705 0.437894858 12 9.63821478 0.666381368 -9.627437935 5.109588608 0 13 8.72101738 0.601817123 -9.770220848 5.217409762 TimeAxisMax k bCurr 14 7.89110285 0.547436531 -9.893682352 5.311173929 40 0.15 0.218038375 15 7.14016512 0.501487796 -10.00161042 5.39354332 TimeAxisTitle 16 6.46068858 0.4625241 -10.09695261 5.466617498 Time (min) ConcCrit bPrev 17 5.84587277 0.429356852 -10.18201801 5.532059381 ConcAxisMin 10 0.219856484 18 5.28956442 0.401012365 -10.25862843 5.591192914 0 19 4.78619582 0.376693689 -10.32823174 5.645078324 ConcAxisMax ConcInit ConcCurr 20 4.33072906 0.355748114 -10.39198715 5.694569956 35 32 0.586100444 21 3.9186057 0.337640105 -10.45082961 5.7403607 ConcAxisTitle 22 3.54570107 0.321929104 -10.5055187 5.783016174 Concentration (ppm) DisipExpRate ConcPrev 23 3.208283 0.308251494 -10.55667589 5.823001098 ConcMainTitle 0.1 0.647741166 24 2.90297451 0.296306053 -10.60481314 5.860699726 Concentration vs Time Profile 25 2.62671996 0.285842242 -10.65035496 5.896431734 Solve Clear