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Table 2 Estimates of parameters providing the best fit of the mathematical model to the shedding data

From: Evaluating contribution of the cellular and humoral immune responses to the control of shedding of Mycobacterium avium spp. paratuberculosis in cattle

cow ID

B0, CFU/g

r, 10−2/day

k C, 10−7/day

k H, 10−3/day

C01

6.3

−0.2

0

0

C02

4.7

0.8

−2.55

−571.49

C03

3.6

−0.4

0

−76.32

C04

4.2

0.1

2.17

−189.83

C05

9.2

−0.3

0

0

C06

5

−0.1

0

0

C07

3.9

0.6

0

0

C08

1

1.2

1.69

0

C09

2.2

0.6

0.64

0

C10

4.2

0

0

−76.71

C11

8.3

0

−6.9

76.24

C12

4.1

−0.2

0

−11.27

C13

4.2

−0.2

0

−16.06

C14

8.7

−1.3

−0.99

0

C15

9.7

0.4

1.03

0

C16

6.6

0.1

0

−9.15

C17

0.6

0

4.69

−165.86

C18

6.7

−0.1

0

0

C19

9.1

−0.9

−0.63

0

C20

6.4

−0.4

0

−64.95

  1. The best fit model (the model is shown in Equation 4) was determined by performing F-tests for nested models and using Akaike weights for non-nested models (see Materials and methods for more detail and Additional file 4). Listed parameters are: B 0 is the predicted initial shedding level, r is the rate of exponential change in shedding in the absence of MAP-specific cellular (as measured by LPT) and humoral (as measured by ELISA) immune responses, k C is the predicted rate of reduction in shedding by the cellular immune response, k H is the predicted rate of reduction in shedding by the humoral immune response. Negative values in shedding rate change r indicate predicted decline in shedding in the absence of measurable cellular and antibody responses. Negative values in k C and k H indicate increase in shedding with the presence of corresponding immune responses.