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Bacteria >> Model

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: Staphylococcus aureus (Broth Culture, Aerobic)

Input Conditions

Range: 10.0 to 42.0 °C
Range: 4.5 to 9.0
Range: 0.5 to 12.5 (% [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: 44.95 (hours)
  • Generation Time: 2.76 (hours)
  • Growth Rate: 0.109 (log(cfu/ml)/h)
  • Max Population Density: 9.57 (log(cfu/ml))
Modeled Growth
Hours log(CFU/ml)
Lag No Lag
0.00 3.00 3.43
0.20 3.00 3.44
0.40 3.00 3.46
0.60 3.00 3.47
0.80 3.00 3.48
1.00 3.00 3.49
1.20 3.00 3.50
1.40 3.00 3.51
1.60 3.00 3.52
1.80 3.00 3.54
2.00 3.00 3.55
2.20 3.00 3.56
2.40 3.00 3.57
2.60 3.00 3.59
2.80 3.00 3.60
3.00 3.00 3.61
3.20 3.00 3.62
3.40 3.00 3.64
3.60 3.00 3.65
3.80 3.00 3.67
4.00 3.00 3.68
4.20 3.00 3.69
4.40 3.00 3.71
4.60 3.00 3.72
4.80 3.00 3.74
5.00 3.00 3.75
5.20 3.00 3.77
5.40 3.00 3.78
5.60 3.00 3.80
5.80 3.00 3.81
6.00 3.00 3.83
6.20 3.00 3.84
6.40 3.00 3.86
6.60 3.00 3.87
6.80 3.00 3.89
7.00 3.00 3.91
7.20 3.00 3.92
7.40 3.00 3.94
7.60 3.00 3.95
7.80 3.00 3.97
8.00 3.00 3.99
8.20 3.00 4.01
8.40 3.00 4.02
8.60 3.00 4.04
8.80 3.00 4.06
9.00 3.00 4.07
9.20 3.00 4.09
9.40 3.00 4.11
9.60 3.00 4.13
9.80 3.00 4.15
10.00 3.00 4.16
10.20 3.00 4.18
10.40 3.00 4.20
10.60 3.00 4.22
10.80 3.00 4.24
11.00 3.00 4.26
11.20 3.00 4.28
11.40 3.00 4.29
11.60 3.00 4.31
11.80 3.00 4.33
12.00 3.00 4.35
12.20 3.00 4.37
12.40 3.00 4.39
12.60 3.00 4.41
12.80 3.00 4.43
13.00 3.00 4.45
13.20 3.00 4.47
13.40 3.00 4.49
13.60 3.00 4.51
13.80 3.00 4.53
14.00 3.00 4.55
14.20 3.00 4.57
14.40 3.00 4.59
14.60 3.00 4.61
14.80 3.00 4.63
15.00 3.00 4.65
15.20 3.00 4.67
15.40 3.00 4.69
15.60 3.00 4.71
15.80 3.00 4.73
16.00 3.00 4.76
16.20 3.00 4.78
16.40 3.00 4.80
16.60 3.00 4.82
16.80 3.00 4.84
17.00 3.00 4.86
17.20 3.00 4.88
17.40 3.00 4.90
17.60 3.00 4.92
17.80 3.00 4.95
18.00 3.00 4.97
18.20 3.00 4.99
18.40 3.00 5.01
18.60 3.00 5.03
18.80 3.00 5.05
19.00 3.00 5.07
19.20 3.00 5.10
19.40 3.00 5.12
19.60 3.00 5.14
19.80 3.00 5.16
20.00 3.00 5.18
20.20 3.00 5.20
20.40 3.00 5.23
20.60 3.00 5.25
20.80 3.00 5.27
21.00 3.00 5.29
21.20 3.00 5.31
21.40 3.00 5.34
21.60 3.00 5.36
21.80 3.00 5.38
22.00 3.00 5.40
22.20 3.00 5.42
22.40 3.00 5.44
22.60 3.00 5.47
22.80 3.00 5.49
23.00 3.00 5.51
23.20 3.00 5.53
23.40 3.00 5.55
23.60 3.01 5.58
23.80 3.01 5.60
24.00 3.01 5.62
24.20 3.01 5.64
24.40 3.01 5.66
24.60 3.01 5.68
24.80 3.01 5.71
25.00 3.01 5.73
25.20 3.01 5.75
25.40 3.01 5.77
25.60 3.01 5.79
25.80 3.01 5.81
26.00 3.01 5.84
26.20 3.01 5.86
26.40 3.01 5.88
26.60 3.01 5.90
26.80 3.01 5.92
27.00 3.01 5.94
27.20 3.02 5.96
27.40 3.02 5.99
27.60 3.02 6.01
27.80 3.02 6.03
28.00 3.02 6.05
28.20 3.02 6.07
28.40 3.02 6.09
28.60 3.02 6.11
28.80 3.02 6.13
29.00 3.02 6.15
29.20 3.03 6.18
29.40 3.03 6.20
29.60 3.03 6.22
29.80 3.03 6.24
30.00 3.03 6.26
30.20 3.03 6.28
30.40 3.03 6.30
30.60 3.04 6.32
30.80 3.04 6.34
31.00 3.04 6.36
31.20 3.04 6.38
31.40 3.04 6.40
31.60 3.05 6.42
31.80 3.05 6.44
32.00 3.05 6.46
32.20 3.05 6.48
32.40 3.05 6.50
32.60 3.06 6.52
32.80 3.06 6.54
33.00 3.06 6.56
33.20 3.06 6.58
33.40 3.07 6.60
33.60 3.07 6.62
33.80 3.07 6.64
34.00 3.08 6.66
34.20 3.08 6.68
34.40 3.08 6.70
34.60 3.09 6.72
34.80 3.09 6.74
35.00 3.09 6.75
35.20 3.10 6.77
35.40 3.10 6.79
35.60 3.10 6.81
35.80 3.11 6.83
36.00 3.11 6.85
36.20 3.12 6.87
36.40 3.12 6.89
36.60 3.12 6.90
36.80 3.13 6.92
37.00 3.13 6.94
37.20 3.14 6.96
37.40 3.14 6.98
37.60 3.15 6.99
37.80 3.15 7.01
38.00 3.16 7.03
38.20 3.16 7.05
38.40 3.17 7.07
38.60 3.18 7.08
38.80 3.18 7.10
39.00 3.19 7.12
39.20 3.19 7.14
39.40 3.20 7.15
39.60 3.21 7.17
39.80 3.21 7.19
40.00 3.22 7.20
40.20 3.23 7.22
40.40 3.23 7.24
40.60 3.24 7.25
40.80 3.25 7.27
41.00 3.25 7.29
41.20 3.26 7.30
41.40 3.27 7.32
41.60 3.28 7.34
41.80 3.29 7.35
42.00 3.29 7.37
42.20 3.30 7.39
42.40 3.31 7.40
42.60 3.32 7.42
42.80 3.33 7.43
43.00 3.34 7.45
43.20 3.35 7.46
43.40 3.36 7.48
43.60 3.37 7.50
43.80 3.38 7.51
44.00 3.38 7.53
44.20 3.39 7.54
44.40 3.40 7.56
44.60 3.42 7.57
44.80 3.43 7.59
45.00 3.44 7.60
45.20 3.45 7.62
45.40 3.46 7.63
45.60 3.47 7.64
45.80 3.48 7.66
46.00 3.49 7.67
46.20 3.50 7.69
46.40 3.52 7.70
46.60 3.53 7.72
46.80 3.54 7.73
47.00 3.55 7.74
47.20 3.56 7.76
47.40 3.58 7.77
47.60 3.59 7.79
47.80 3.60 7.80
48.00 3.62 7.81
48.20 3.63 7.83
48.40 3.64 7.84
48.60 3.66 7.85
48.80 3.67 7.87
49.00 3.68 7.88
49.20 3.70 7.89
49.40 3.71 7.91
49.60 3.73 7.92
49.80 3.74 7.93
50.00 3.75 7.94
50.20 3.77 7.96
50.40 3.78 7.97
50.60 3.80 7.98
50.80 3.81 7.99
51.00 3.83 8.01
51.20 3.85 8.02
51.40 3.86 8.03
51.60 3.88 8.04
51.80 3.89 8.06
52.00 3.91 8.07
52.20 3.93 8.08
52.40 3.94 8.09
52.60 3.96 8.10
52.80 3.98 8.11
53.00 3.99 8.13
53.20 4.01 8.14
53.40 4.03 8.15
53.60 4.04 8.16
53.80 4.06 8.17
54.00 4.08 8.18
54.20 4.10 8.19
54.40 4.11 8.20
54.60 4.13 8.22
54.80 4.15 8.23
55.00 4.17 8.24
55.20 4.19 8.25
55.40 4.21 8.26
55.60 4.22 8.27
55.80 4.24 8.28
56.00 4.26 8.29
56.20 4.28 8.30
56.40 4.30 8.31
56.60 4.32 8.32
56.80 4.34 8.33
57.00 4.36 8.34
57.20 4.38 8.35
57.40 4.40 8.36
57.60 4.42 8.37
57.80 4.43 8.38
58.00 4.45 8.39
58.20 4.47 8.40
58.40 4.49 8.41
58.60 4.51 8.42
58.80 4.53 8.43
59.00 4.55 8.44
59.20 4.57 8.45
59.40 4.60 8.46
59.60 4.62 8.46
59.80 4.64 8.47
60.00 4.66 8.48
60.20 4.68 8.49
60.40 4.70 8.50
60.60 4.72 8.51
60.80 4.74 8.52
61.00 4.76 8.53
61.20 4.78 8.53
61.40 4.80 8.54
61.60 4.82 8.55
61.80 4.84 8.56
62.00 4.87 8.57
62.20 4.89 8.58
62.40 4.91 8.59
62.60 4.93 8.59
62.80 4.95 8.60
63.00 4.97 8.61
63.20 4.99 8.62
63.40 5.02 8.63
63.60 5.04 8.63
63.80 5.06 8.64
64.00 5.08 8.65
64.20 5.10 8.66
64.40 5.12 8.66
64.60 5.15 8.67
64.80 5.17 8.68
65.00 5.19 8.69
65.20 5.21 8.69
65.40 5.23 8.70
65.60 5.25 8.71
65.80 5.28 8.72
66.00 5.30 8.72
66.20 5.32 8.73
66.40 5.34 8.74
66.60 5.36 8.74
66.80 5.38 8.75
67.00 5.41 8.76
67.20 5.43 8.76
67.40 5.45 8.77
67.60 5.47 8.78
67.80 5.49 8.79
68.00 5.52 8.79
68.20 5.54 8.80
68.40 5.56 8.80
68.60 5.58 8.81
68.80 5.60 8.82
69.00 5.62 8.82
69.20 5.65 8.83
69.40 5.67 8.84
69.60 5.69 8.84
69.80 5.71 8.85
70.00 5.73 8.86
70.20 5.75 8.86
70.40 5.78 8.87
70.60 5.80 8.87
70.80 5.82 8.88
71.00 5.84 8.88
71.20 5.86 8.89
71.40 5.88 8.90
71.60 5.91 8.90
71.80 5.93 8.91
72.00 5.95 8.91
72.20 5.97 8.92
72.40 5.99 8.92
72.60 6.01 8.93
72.80 6.03 8.94
73.00 6.05 8.94
73.20 6.08 8.95
73.40 6.10 8.95
73.60 6.12 8.96
73.80 6.14 8.96
74.00 6.16 8.97
74.20 6.18 8.97
74.40 6.20 8.98
74.60 6.22 8.98
74.80 6.24 8.99
75.00 6.26 8.99
75.20 6.28 9.00
75.40 6.30 9.00
75.60 6.32 9.01
75.80 6.35 9.01
76.00 6.37 9.02
76.20 6.39 9.02
76.40 6.41 9.03
76.60 6.43 9.03
76.80 6.45 9.04
77.00 6.47 9.04
77.20 6.49 9.05
77.40 6.51 9.05
77.60 6.53 9.05
77.80 6.55 9.06
78.00 6.57 9.06
78.20 6.59 9.07
78.40 6.61 9.07
78.60 6.62 9.08
78.80 6.64 9.08
79.00 6.66 9.08
79.20 6.68 9.09
79.40 6.70 9.09
79.60 6.72 9.10
79.80 6.74 9.10
80.00 6.76 9.11
80.20 6.78 9.11
80.40 6.80 9.11
80.60 6.82 9.12
80.80 6.83 9.12
81.00 6.85 9.13
81.20 6.87 9.13
81.40 6.89 9.13
81.60 6.91 9.14
81.80 6.93 9.14
82.00 6.94 9.14
82.20 6.96 9.15
82.40 6.98 9.15
82.60 7.00 9.16
82.80 7.02 9.16
83.00 7.03 9.16
83.20 7.05 9.17
83.40 7.07 9.17
83.60 7.09 9.17
83.80 7.10 9.18
84.00 7.12 9.18
84.20 7.14 9.18
84.40 7.16 9.19
84.60 7.17 9.19
84.80 7.19 9.19
85.00 7.21 9.20
85.20 7.22 9.20
85.40 7.24 9.20
85.60 7.26 9.21
85.80 7.28 9.21
86.00 7.29 9.21
86.20 7.31 9.22
86.40 7.32 9.22
86.60 7.34 9.22
86.80 7.36 9.22
87.00 7.37 9.23
87.20 7.39 9.23
87.40 7.41 9.23
87.60 7.42 9.24
87.80 7.44 9.24
88.00 7.45 9.24
88.20 7.47 9.25
88.40 7.48 9.25
88.60 7.50 9.25
88.80 7.51 9.25
89.00 7.53 9.26
89.20 7.54 9.26
89.40 7.56 9.26
89.60 7.57 9.26
89.80 7.59 9.27
90.00 7.60 9.27
90.20 7.62 9.27
90.40 7.63 9.28
90.60 7.65 9.28
90.80 7.66 9.28
91.00 7.68 9.28
91.20 7.69 9.29
91.40 7.71 9.29
91.60 7.72 9.29
91.80 7.73 9.29
92.00 7.75 9.30
92.20 7.76 9.30
92.40 7.78 9.30
92.60 7.79 9.30
92.80 7.80 9.31
93.00 7.82 9.31
93.20 7.83 9.31
93.40 7.84 9.31
93.60 7.86 9.31
93.80 7.87 9.32
94.00 7.88 9.32
94.20 7.90 9.32
94.40 7.91 9.32
94.60 7.92 9.33
94.80 7.93 9.33
95.00 7.95 9.33
95.20 7.96 9.33
95.40 7.97 9.33
95.60 7.99 9.34
95.80 8.00 9.34
96.00 8.01 9.34
96.20 8.02 9.34
96.40 8.03 9.34
96.60 8.05 9.35
96.80 8.06 9.35
97.00 8.07 9.35
97.20 8.08 9.35
97.40 8.09 9.35
97.60 8.11 9.36
97.80 8.12 9.36
98.00 8.13 9.36
98.20 8.14 9.36
98.40 8.15 9.36
98.60 8.16 9.37
98.80 8.17 9.37
99.00 8.18 9.37
99.20 8.20 9.37
99.40 8.21 9.37
99.60 8.22 9.37
99.80 8.23 9.38
100.00 8.24 9.38
100.20 8.25 9.38
100.40 8.26 9.38
100.60 8.27 9.38
100.80 8.28 9.38
101.00 8.29 9.39
101.20 8.30 9.39
101.40 8.31 9.39
101.60 8.32 9.39
101.80 8.33 9.39
102.00 8.34 9.39
102.20 8.35 9.40
102.40 8.36 9.40
102.60 8.37 9.40
102.80 8.38 9.40
103.00 8.39 9.40
103.20 8.40 9.40
103.40 8.41 9.40
103.60 8.42 9.41
103.80 8.43 9.41
104.00 8.44 9.41
104.20 8.45 9.41
104.40 8.46 9.41
104.60 8.47 9.41
104.80 8.48 9.41
105.00 8.48 9.42
105.20 8.49 9.42
105.40 8.50 9.42
105.60 8.51 9.42
105.80 8.52 9.42
106.00 8.53 9.42
106.20 8.54 9.42
106.40 8.55 9.43
106.60 8.55 9.43
106.80 8.56 9.43
107.00 8.57 9.43
107.20 8.58 9.43
107.40 8.59 9.43
107.60 8.60 9.43
107.80 8.60 9.43
108.00 8.61 9.44
108.20 8.62 9.44
108.40 8.63 9.44
108.60 8.64 9.44
108.80 8.64 9.44
109.00 8.65 9.44
109.20 8.66 9.44
109.40 8.67 9.44
109.60 8.67 9.44
109.80 8.68 9.45
110.00 8.69 9.45
110.20 8.70 9.45
110.40 8.70 9.45
110.60 8.71 9.45
110.80 8.72 9.45
111.00 8.72 9.45
111.20 8.73 9.45
111.40 8.74 9.45
111.60 8.75 9.46
111.80 8.75 9.46
112.00 8.76 9.46
112.20 8.77 9.46
112.40 8.77 9.46
112.60 8.78 9.46
112.80 8.79 9.46
113.00 8.79 9.46
113.20 8.80 9.46
113.40 8.81 9.46
113.60 8.81 9.47
113.80 8.82 9.47
114.00 8.83 9.47
114.20 8.83 9.47
114.40 8.84 9.47
114.60 8.84 9.47
114.80 8.85 9.47
115.00 8.86 9.47
115.20 8.86 9.47
115.40 8.87 9.47
115.60 8.87 9.47
115.80 8.88 9.48
116.00 8.89 9.48
116.20 8.89 9.48
116.40 8.90 9.48
116.60 8.90 9.48
116.80 8.91 9.48
117.00 8.91 9.48
117.20 8.92 9.48
117.40 8.93 9.48
117.60 8.93 9.48
117.80 8.94 9.48
118.00 8.94 9.48
118.20 8.95 9.48
118.40 8.95 9.49
118.60 8.96 9.49
118.80 8.96 9.49
119.00 8.97 9.49
119.20 8.97 9.49
119.40 8.98 9.49
119.60 8.98 9.49
119.80 8.99 9.49
120.00 8.99 9.49
120.20 9.00 9.49
120.40 9.00 9.49
120.60 9.01 9.49
120.80 9.01 9.49
121.00 9.02 9.49
121.20 9.02 9.50
121.40 9.03 9.50
121.60 9.03 9.50
121.80 9.04 9.50
122.00 9.04 9.50
122.20 9.05 9.50
122.40 9.05 9.50
122.60 9.06 9.50
122.80 9.06 9.50
123.00 9.06 9.50
123.20 9.07 9.50
123.40 9.07 9.50
123.60 9.08 9.50
123.80 9.08 9.50
124.00 9.09 9.50
124.20 9.09 9.50
124.40 9.09 9.51
124.60 9.10 9.51
124.80 9.10 9.51
125.00 9.11 9.51
125.20 9.11 9.51
125.40 9.11 9.51
125.60 9.12 9.51
125.80 9.12 9.51
126.00 9.13 9.51
126.20 9.13 9.51
126.40 9.13 9.51
126.60 9.14 9.51
126.80 9.14 9.51
127.00 9.15 9.51
127.20 9.15 9.51
127.40 9.15 9.51
127.60 9.16 9.51
127.80 9.16 9.51
128.00 9.16 9.52
128.20 9.17 9.52
128.40 9.17 9.52
128.60 9.17 9.52
128.80 9.18 9.52
129.00 9.18 9.52
129.20 9.18 9.52
129.40 9.19 9.52
129.60 9.19 9.52
129.80 9.19 9.52
130.00 9.20 9.52
130.20 9.20 9.52
130.40 9.20 9.52
130.60 9.21 9.52
130.80 9.21 9.52
131.00 9.21 9.52
131.20 9.22 9.52
131.40 9.22 9.52
131.60 9.22 9.52
131.80 9.23 9.52
132.00 9.23 9.52
132.20 9.23 9.52
132.40 9.23 9.52
132.60 9.24 9.53
132.80 9.24 9.53
133.00 9.24 9.53
133.20 9.25 9.53
133.40 9.25 9.53
133.60 9.25 9.53
133.80 9.25 9.53
134.00 9.26 9.53
134.20 9.26 9.53
134.40 9.26 9.53
134.60 9.27 9.53
134.80 9.27 9.53
135.00 9.27 9.53
135.20 9.27 9.53
135.40 9.28 9.53
135.60 9.28 9.53
135.80 9.28 9.53
136.00 9.28 9.53
136.20 9.29 9.53
136.40 9.29 9.53
136.60 9.29 9.53
136.80 9.29 9.53
137.00 9.30 9.53
137.20 9.30 9.53
137.40 9.30 9.53
137.60 9.30 9.53
137.80 9.31 9.53
138.00 9.31 9.53
138.20 9.31 9.54
138.40 9.31 9.54
138.60 9.31 9.54
138.80 9.32 9.54
139.00 9.32 9.54
139.20 9.32 9.54
139.40 9.32 9.54
139.60 9.33 9.54
139.80 9.33 9.54
140.00 9.33 9.54
140.20 9.33 9.54
140.40 9.33 9.54
140.60 9.34 9.54
140.80 9.34 9.54
141.00 9.34 9.54
141.20 9.34 9.54
141.40 9.34 9.54
141.60 9.35 9.54
141.80 9.35 9.54
142.00 9.35 9.54
142.20 9.35 9.54
142.40 9.35 9.54
142.60 9.36 9.54
142.80 9.36 9.54
143.00 9.36 9.54
143.20 9.36 9.54
143.40 9.36 9.54
143.60 9.37 9.54
143.80 9.37 9.54
144.00 9.37 9.54
144.20 9.37 9.54
144.40 9.37 9.54
144.60 9.37 9.54
144.80 9.38 9.54
145.00 9.38 9.54
145.20 9.38 9.54
145.40 9.38 9.54
145.60 9.38 9.55
145.80 9.38 9.55
146.00 9.39 9.55
146.20 9.39 9.55
146.40 9.39 9.55
146.60 9.39 9.55
146.80 9.39 9.55
147.00 9.39 9.55
147.20 9.40 9.55
147.40 9.40 9.55
147.60 9.40 9.55
147.80 9.40 9.55
148.00 9.40 9.55
148.20 9.40 9.55
148.40 9.40 9.55
148.60 9.41 9.55
148.80 9.41 9.55
149.00 9.41 9.55
149.20 9.41 9.55
149.40 9.41 9.55
149.60 9.41 9.55
149.80 9.41 9.55
150.00 9.42 9.55
150.20 9.42 9.55
150.40 9.42 9.55
150.60 9.42 9.55
150.80 9.42 9.55
151.00 9.42 9.55
151.20 9.42 9.55
151.40 9.43 9.55
151.60 9.43 9.55
151.80 9.43 9.55
152.00 9.43 9.55
152.20 9.43 9.55
152.40 9.43 9.55
152.60 9.43 9.55
152.80 9.43 9.55
153.00 9.44 9.55
153.20 9.44 9.55
153.40 9.44 9.55
153.60 9.44 9.55
153.80 9.44 9.55
154.00 9.44 9.55
154.20 9.44 9.55
154.40 9.44 9.55
154.60 9.44 9.55
154.80 9.45 9.55
155.00 9.45 9.55
155.20 9.45 9.55
155.40 9.45 9.55
155.60 9.45 9.55
155.80 9.45 9.55
156.00 9.45 9.55
156.20 9.45 9.55
156.40 9.45 9.55
156.60 9.46 9.55
156.80 9.46 9.55
157.00 9.46 9.56
157.20 9.46 9.56
157.40 9.46 9.56
157.60 9.46 9.56
157.80 9.46 9.56
158.00 9.46 9.56
158.20 9.46 9.56
158.40 9.46 9.56
158.60 9.47 9.56
158.80 9.47 9.56
159.00 9.47 9.56
159.20 9.47 9.56
159.40 9.47 9.56
159.60 9.47 9.56
159.80 9.47 9.56
160.00 9.47 9.56
Source:

R.L. Buchanan, J.L. Smith, C. McColgan, B.S. Marmer, M.H. Golden and B.J. Dell, Response Surface Models for the Effects of Temperature, pH, Sodium Chloride, and Sodium Nitrite on the Aerobic and Anaerobic Growth of Staphylococcus aureus 196E:  Journal of Food Safety (1993) 13:159-175 - http://wyndmoor.errc.ars.usda.gov/pubs/viewpub.aspx?iden=5865