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The models are based on extensive experimental data of microbial behavior in liquid microbiological media and food.

There can be no guarantee that predicted values will match those that would occur in any specific food system. Before the models could be used in such a manner, the user would have to validate the models for each specific food of interest.

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Growth Model: Shigella flexneri (Broth Culture, Anaerobic)

Input Conditions

Range: 12.0 to 37.0 °C
Range: 5.5 to 7.5
Range: 0.5 to 4.0 (% [g/dL])
Range: 0 to 150 ppm
Range: 3.0 to 5.9 log(CFU/ml)
Line chart of data points for modeled growth. Also available in a table format below.
Modeled Growth Parameters
  • Lag Phase Duration: 14.71 (hours)
  • Generation Time: 3.65 (hours)
  • Growth Rate: 0.083 (log(cfu/ml)/h)
  • Max Population Density: 8.23 (log(cfu/ml))
Modeled Growth
Hours log(CFU/ml)
Lag No Lag
0.00 3.03 3.35
0.20 3.03 3.35
0.40 3.03 3.36
0.60 3.04 3.37
0.80 3.04 3.38
1.00 3.04 3.39
1.20 3.04 3.40
1.40 3.04 3.40
1.60 3.04 3.41
1.80 3.05 3.42
2.00 3.05 3.43
2.20 3.05 3.44
2.40 3.05 3.45
2.60 3.05 3.46
2.80 3.06 3.47
3.00 3.06 3.48
3.20 3.06 3.49
3.40 3.06 3.50
3.60 3.07 3.51
3.80 3.07 3.52
4.00 3.07 3.53
4.20 3.07 3.54
4.40 3.08 3.55
4.60 3.08 3.56
4.80 3.08 3.57
5.00 3.08 3.58
5.20 3.09 3.59
5.40 3.09 3.61
5.60 3.09 3.62
5.80 3.10 3.63
6.00 3.10 3.64
6.20 3.10 3.65
6.40 3.11 3.66
6.60 3.11 3.67
6.80 3.12 3.69
7.00 3.12 3.70
7.20 3.12 3.71
7.40 3.13 3.72
7.60 3.13 3.74
7.80 3.14 3.75
8.00 3.14 3.76
8.20 3.14 3.77
8.40 3.15 3.79
8.60 3.15 3.80
8.80 3.16 3.81
9.00 3.16 3.82
9.20 3.17 3.84
9.40 3.17 3.85
9.60 3.18 3.86
9.80 3.18 3.88
10.00 3.19 3.89
10.20 3.19 3.90
10.40 3.20 3.92
10.60 3.20 3.93
10.80 3.21 3.95
11.00 3.22 3.96
11.20 3.22 3.97
11.40 3.23 3.99
11.60 3.23 4.00
11.80 3.24 4.02
12.00 3.25 4.03
12.20 3.25 4.05
12.40 3.26 4.06
12.60 3.27 4.07
12.80 3.27 4.09
13.00 3.28 4.10
13.20 3.29 4.12
13.40 3.29 4.13
13.60 3.30 4.15
13.80 3.31 4.16
14.00 3.32 4.18
14.20 3.32 4.19
14.40 3.33 4.21
14.60 3.34 4.22
14.80 3.35 4.24
15.00 3.36 4.25
15.20 3.37 4.27
15.40 3.37 4.28
15.60 3.38 4.30
15.80 3.39 4.32
16.00 3.40 4.33
16.20 3.41 4.35
16.40 3.42 4.36
16.60 3.43 4.38
16.80 3.44 4.39
17.00 3.45 4.41
17.20 3.45 4.43
17.40 3.46 4.44
17.60 3.47 4.46
17.80 3.48 4.47
18.00 3.49 4.49
18.20 3.50 4.51
18.40 3.51 4.52
18.60 3.52 4.54
18.80 3.53 4.55
19.00 3.55 4.57
19.20 3.56 4.59
19.40 3.57 4.60
19.60 3.58 4.62
19.80 3.59 4.64
20.00 3.60 4.65
20.20 3.61 4.67
20.40 3.62 4.69
20.60 3.63 4.70
20.80 3.64 4.72
21.00 3.66 4.73
21.20 3.67 4.75
21.40 3.68 4.77
21.60 3.69 4.78
21.80 3.70 4.80
22.00 3.72 4.82
22.20 3.73 4.83
22.40 3.74 4.85
22.60 3.75 4.87
22.80 3.77 4.88
23.00 3.78 4.90
23.20 3.79 4.92
23.40 3.80 4.93
23.60 3.82 4.95
23.80 3.83 4.97
24.00 3.84 4.98
24.20 3.86 5.00
24.40 3.87 5.01
24.60 3.88 5.03
24.80 3.90 5.05
25.00 3.91 5.06
25.20 3.92 5.08
25.40 3.94 5.10
25.60 3.95 5.11
25.80 3.97 5.13
26.00 3.98 5.15
26.20 3.99 5.16
26.40 4.01 5.18
26.60 4.02 5.20
26.80 4.04 5.21
27.00 4.05 5.23
27.20 4.07 5.24
27.40 4.08 5.26
27.60 4.10 5.28
27.80 4.11 5.29
28.00 4.12 5.31
28.20 4.14 5.33
28.40 4.15 5.34
28.60 4.17 5.36
28.80 4.18 5.37
29.00 4.20 5.39
29.20 4.22 5.41
29.40 4.23 5.42
29.60 4.25 5.44
29.80 4.26 5.45
30.00 4.28 5.47
30.20 4.29 5.49
30.40 4.31 5.50
30.60 4.32 5.52
30.80 4.34 5.53
31.00 4.35 5.55
31.20 4.37 5.56
31.40 4.39 5.58
31.60 4.40 5.60
31.80 4.42 5.61
32.00 4.43 5.63
32.20 4.45 5.64
32.40 4.47 5.66
32.60 4.48 5.67
32.80 4.50 5.69
33.00 4.51 5.70
33.20 4.53 5.72
33.40 4.55 5.73
33.60 4.56 5.75
33.80 4.58 5.77
34.00 4.59 5.78
34.20 4.61 5.80
34.40 4.63 5.81
34.60 4.64 5.83
34.80 4.66 5.84
35.00 4.68 5.86
35.20 4.69 5.87
35.40 4.71 5.88
35.60 4.73 5.90
35.80 4.74 5.91
36.00 4.76 5.93
36.20 4.77 5.94
36.40 4.79 5.96
36.60 4.81 5.97
36.80 4.82 5.99
37.00 4.84 6.00
37.20 4.86 6.02
37.40 4.87 6.03
37.60 4.89 6.04
37.80 4.91 6.06
38.00 4.92 6.07
38.20 4.94 6.09
38.40 4.96 6.10
38.60 4.97 6.11
38.80 4.99 6.13
39.00 5.01 6.14
39.20 5.02 6.15
39.40 5.04 6.17
39.60 5.06 6.18
39.80 5.07 6.20
40.00 5.09 6.21
40.20 5.10 6.22
40.40 5.12 6.24
40.60 5.14 6.25
40.80 5.15 6.26
41.00 5.17 6.28
41.20 5.19 6.29
41.40 5.20 6.30
41.60 5.22 6.31
41.80 5.24 6.33
42.00 5.25 6.34
42.20 5.27 6.35
42.40 5.28 6.37
42.60 5.30 6.38
42.80 5.32 6.39
43.00 5.33 6.40
43.20 5.35 6.42
43.40 5.37 6.43
43.60 5.38 6.44
43.80 5.40 6.45
44.00 5.41 6.47
44.20 5.43 6.48
44.40 5.45 6.49
44.60 5.46 6.50
44.80 5.48 6.51
45.00 5.49 6.53
45.20 5.51 6.54
45.40 5.52 6.55
45.60 5.54 6.56
45.80 5.56 6.57
46.00 5.57 6.59
46.20 5.59 6.60
46.40 5.60 6.61
46.60 5.62 6.62
46.80 5.63 6.63
47.00 5.65 6.64
47.20 5.67 6.65
47.40 5.68 6.67
47.60 5.70 6.68
47.80 5.71 6.69
48.00 5.73 6.70
48.20 5.74 6.71
48.40 5.76 6.72
48.60 5.77 6.73
48.80 5.79 6.74
49.00 5.80 6.75
49.20 5.82 6.76
49.40 5.83 6.77
49.60 5.85 6.78
49.80 5.86 6.80
50.00 5.88 6.81
50.20 5.89 6.82
50.40 5.91 6.83
50.60 5.92 6.84
50.80 5.94 6.85
51.00 5.95 6.86
51.20 5.96 6.87
51.40 5.98 6.88
51.60 5.99 6.89
51.80 6.01 6.90
52.00 6.02 6.91
52.20 6.04 6.92
52.40 6.05 6.93
52.60 6.06 6.94
52.80 6.08 6.94
53.00 6.09 6.95
53.20 6.11 6.96
53.40 6.12 6.97
53.60 6.13 6.98
53.80 6.15 6.99
54.00 6.16 7.00
54.20 6.17 7.01
54.40 6.19 7.02
54.60 6.20 7.03
54.80 6.22 7.04
55.00 6.23 7.05
55.20 6.24 7.06
55.40 6.26 7.06
55.60 6.27 7.07
55.80 6.28 7.08
56.00 6.29 7.09
56.20 6.31 7.10
56.40 6.32 7.11
56.60 6.33 7.12
56.80 6.35 7.12
57.00 6.36 7.13
57.20 6.37 7.14
57.40 6.38 7.15
57.60 6.40 7.16
57.80 6.41 7.17
58.00 6.42 7.17
58.20 6.43 7.18
58.40 6.45 7.19
58.60 6.46 7.20
58.80 6.47 7.21
59.00 6.48 7.21
59.20 6.50 7.22
59.40 6.51 7.23
59.60 6.52 7.24
59.80 6.53 7.24
60.00 6.54 7.25
60.20 6.56 7.26
60.40 6.57 7.27
60.60 6.58 7.27
60.80 6.59 7.28
61.00 6.60 7.29
61.20 6.61 7.30
61.40 6.63 7.30
61.60 6.64 7.31
61.80 6.65 7.32
62.00 6.66 7.33
62.20 6.67 7.33
62.40 6.68 7.34
62.60 6.69 7.35
62.80 6.70 7.35
63.00 6.71 7.36
63.20 6.73 7.37
63.40 6.74 7.37
63.60 6.75 7.38
63.80 6.76 7.39
64.00 6.77 7.39
64.20 6.78 7.40
64.40 6.79 7.41
64.60 6.80 7.41
64.80 6.81 7.42
65.00 6.82 7.43
65.20 6.83 7.43
65.40 6.84 7.44
65.60 6.85 7.44
65.80 6.86 7.45
66.00 6.87 7.46
66.20 6.88 7.46
66.40 6.89 7.47
66.60 6.90 7.47
66.80 6.91 7.48
67.00 6.92 7.49
67.20 6.93 7.49
67.40 6.94 7.50
67.60 6.95 7.50
67.80 6.96 7.51
68.00 6.97 7.52
68.20 6.98 7.52
68.40 6.99 7.53
68.60 7.00 7.53
68.80 7.01 7.54
69.00 7.01 7.54
69.20 7.02 7.55
69.40 7.03 7.55
69.60 7.04 7.56
69.80 7.05 7.57
70.00 7.06 7.57
70.20 7.07 7.58
70.40 7.08 7.58
70.60 7.09 7.59
70.80 7.09 7.59
71.00 7.10 7.60
71.20 7.11 7.60
71.40 7.12 7.61
71.60 7.13 7.61
71.80 7.14 7.62
72.00 7.14 7.62
72.20 7.15 7.63
72.40 7.16 7.63
72.60 7.17 7.64
72.80 7.18 7.64
73.00 7.19 7.65
73.20 7.19 7.65
73.40 7.20 7.65
73.60 7.21 7.66
73.80 7.22 7.66
74.00 7.22 7.67
74.20 7.23 7.67
74.40 7.24 7.68
74.60 7.25 7.68
74.80 7.26 7.69
75.00 7.26 7.69
75.20 7.27 7.70
75.40 7.28 7.70
75.60 7.29 7.70
75.80 7.29 7.71
76.00 7.30 7.71
76.20 7.31 7.72
76.40 7.31 7.72
76.60 7.32 7.73
76.80 7.33 7.73
77.00 7.34 7.73
77.20 7.34 7.74
77.40 7.35 7.74
77.60 7.36 7.75
77.80 7.36 7.75
78.00 7.37 7.75
78.20 7.38 7.76
78.40 7.38 7.76
78.60 7.39 7.76
78.80 7.40 7.77
79.00 7.40 7.77
79.20 7.41 7.78
79.40 7.42 7.78
79.60 7.42 7.78
79.80 7.43 7.79
80.00 7.43 7.79
80.20 7.44 7.79
80.40 7.45 7.80
80.60 7.45 7.80
80.80 7.46 7.80
81.00 7.47 7.81
81.20 7.47 7.81
81.40 7.48 7.82
81.60 7.48 7.82
81.80 7.49 7.82
82.00 7.50 7.83
82.20 7.50 7.83
82.40 7.51 7.83
82.60 7.51 7.84
82.80 7.52 7.84
83.00 7.52 7.84
83.20 7.53 7.84
83.40 7.54 7.85
83.60 7.54 7.85
83.80 7.55 7.85
84.00 7.55 7.86
84.20 7.56 7.86
84.40 7.56 7.86
84.60 7.57 7.87
84.80 7.57 7.87
85.00 7.58 7.87
85.20 7.58 7.88
85.40 7.59 7.88
85.60 7.59 7.88
85.80 7.60 7.88
86.00 7.60 7.89
86.20 7.61 7.89
86.40 7.61 7.89
86.60 7.62 7.90
86.80 7.62 7.90
87.00 7.63 7.90
87.20 7.63 7.90
87.40 7.64 7.91
87.60 7.64 7.91
87.80 7.65 7.91
88.00 7.65 7.91
88.20 7.66 7.92
88.40 7.66 7.92
88.60 7.67 7.92
88.80 7.67 7.92
89.00 7.68 7.93
89.20 7.68 7.93
89.40 7.68 7.93
89.60 7.69 7.93
89.80 7.69 7.94
90.00 7.70 7.94
90.20 7.70 7.94
90.40 7.71 7.94
90.60 7.71 7.95
90.80 7.71 7.95
91.00 7.72 7.95
91.20 7.72 7.95
91.40 7.73 7.96
91.60 7.73 7.96
91.80 7.74 7.96
92.00 7.74 7.96
92.20 7.74 7.97
92.40 7.75 7.97
92.60 7.75 7.97
92.80 7.75 7.97
93.00 7.76 7.97
93.20 7.76 7.98
93.40 7.77 7.98
93.60 7.77 7.98
93.80 7.77 7.98
94.00 7.78 7.98
94.20 7.78 7.99
94.40 7.78 7.99
94.60 7.79 7.99
94.80 7.79 7.99
95.00 7.80 7.99
95.20 7.80 8.00
95.40 7.80 8.00
95.60 7.81 8.00
95.80 7.81 8.00
96.00 7.81 8.00
96.20 7.82 8.01
96.40 7.82 8.01
96.60 7.82 8.01
96.80 7.83 8.01
97.00 7.83 8.01
97.20 7.83 8.02
97.40 7.84 8.02
97.60 7.84 8.02
97.80 7.84 8.02
98.00 7.85 8.02
98.20 7.85 8.02
98.40 7.85 8.03
98.60 7.86 8.03
98.80 7.86 8.03
99.00 7.86 8.03
99.20 7.86 8.03
99.40 7.87 8.03
99.60 7.87 8.04
99.80 7.87 8.04
100.00 7.88 8.04
100.20 7.88 8.04
100.40 7.88 8.04
100.60 7.89 8.04
100.80 7.89 8.05
101.00 7.89 8.05
101.20 7.89 8.05
101.40 7.90 8.05
101.60 7.90 8.05
101.80 7.90 8.05
102.00 7.90 8.05
102.20 7.91 8.06
102.40 7.91 8.06
102.60 7.91 8.06
102.80 7.92 8.06
103.00 7.92 8.06
103.20 7.92 8.06
103.40 7.92 8.06
103.60 7.93 8.07
103.80 7.93 8.07
104.00 7.93 8.07
104.20 7.93 8.07
104.40 7.94 8.07
104.60 7.94 8.07
104.80 7.94 8.07
105.00 7.94 8.08
105.20 7.95 8.08
105.40 7.95 8.08
105.60 7.95 8.08
105.80 7.95 8.08
106.00 7.95 8.08
106.20 7.96 8.08
106.40 7.96 8.08
106.60 7.96 8.09
106.80 7.96 8.09
107.00 7.97 8.09
107.20 7.97 8.09
107.40 7.97 8.09
107.60 7.97 8.09
107.80 7.97 8.09
108.00 7.98 8.09
108.20 7.98 8.09
108.40 7.98 8.10
108.60 7.98 8.10
108.80 7.99 8.10
109.00 7.99 8.10
109.20 7.99 8.10
109.40 7.99 8.10
109.60 7.99 8.10
109.80 8.00 8.10
110.00 8.00 8.10
110.20 8.00 8.11
110.40 8.00 8.11
110.60 8.00 8.11
110.80 8.00 8.11
111.00 8.01 8.11
111.20 8.01 8.11
111.40 8.01 8.11
111.60 8.01 8.11
111.80 8.01 8.11
112.00 8.02 8.12
112.20 8.02 8.12
112.40 8.02 8.12
112.60 8.02 8.12
112.80 8.02 8.12
113.00 8.02 8.12
113.20 8.03 8.12
113.40 8.03 8.12
113.60 8.03 8.12
113.80 8.03 8.12
114.00 8.03 8.12
114.20 8.03 8.13
114.40 8.04 8.13
114.60 8.04 8.13
114.80 8.04 8.13
115.00 8.04 8.13
115.20 8.04 8.13
115.40 8.04 8.13
115.60 8.05 8.13
115.80 8.05 8.13
116.00 8.05 8.13
116.20 8.05 8.13
116.40 8.05 8.13
116.60 8.05 8.14
116.80 8.06 8.14
117.00 8.06 8.14
117.20 8.06 8.14
117.40 8.06 8.14
117.60 8.06 8.14
117.80 8.06 8.14
118.00 8.06 8.14
118.20 8.07 8.14
118.40 8.07 8.14
118.60 8.07 8.14
118.80 8.07 8.14
119.00 8.07 8.14
119.20 8.07 8.15
119.40 8.07 8.15
119.60 8.07 8.15
119.80 8.08 8.15
120.00 8.08 8.15
120.20 8.08 8.15
120.40 8.08 8.15
120.60 8.08 8.15
120.80 8.08 8.15
121.00 8.08 8.15
121.20 8.08 8.15
121.40 8.09 8.15
121.60 8.09 8.15
121.80 8.09 8.15
122.00 8.09 8.15
122.20 8.09 8.16
122.40 8.09 8.16
122.60 8.09 8.16
122.80 8.09 8.16
123.00 8.10 8.16
123.20 8.10 8.16
123.40 8.10 8.16
123.60 8.10 8.16
123.80 8.10 8.16
124.00 8.10 8.16
124.20 8.10 8.16
124.40 8.10 8.16
124.60 8.10 8.16
124.80 8.11 8.16
125.00 8.11 8.16
125.20 8.11 8.16
125.40 8.11 8.17
125.60 8.11 8.17
125.80 8.11 8.17
126.00 8.11 8.17
126.20 8.11 8.17
126.40 8.11 8.17
126.60 8.11 8.17
126.80 8.12 8.17
127.00 8.12 8.17
127.20 8.12 8.17
127.40 8.12 8.17
127.60 8.12 8.17
127.80 8.12 8.17
128.00 8.12 8.17
128.20 8.12 8.17
128.40 8.12 8.17
128.60 8.12 8.17
128.80 8.12 8.17
129.00 8.13 8.17
129.20 8.13 8.17
129.40 8.13 8.18
129.60 8.13 8.18
129.80 8.13 8.18
130.00 8.13 8.18
Source:

L.L Zaika, E. Moulden, L. Weimer, J.G. Phillips and R.L. Buchanan, Model for the Combined Effects of Temperature, Initial pH, Sodium Chloride and Sodium Nitrite Concentrations on Anaerobic Growth of Shigella flexneri:  International Journal of Food Microbiology (1994) 23:345-358 - http://wyndmoor.errc.ars.usda.gov/pubs/viewpub.aspx?iden=6054

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