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Proceedings of the 10th International Colloquium on Paratuberculosis

Proceedings of the 10th International Colloquium on Paratuberculosis

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Table 1. Posterior median (CrIs) <str<strong>on</strong>g>of</str<strong>on</strong>g> model parameters from (I) a standard Weibull model that<br />

ignored <str<strong>on</strong>g>the</str<strong>on</strong>g> latent infecti<strong>on</strong> period (ui) <str<strong>on</strong>g>of</str<strong>on</strong>g> Mycobacterium avium subsp. paratuberculosis<br />

(MAP) infecti<strong>on</strong> and (II) <str<strong>on</strong>g>the</str<strong>on</strong>g> proposed Weibull model that adjusted for ui. Estimati<strong>on</strong>s were<br />

based <strong>on</strong> 1912 cows from 8 Danish dairy herds naturally infected with MAP.<br />

Variable Level<br />

Model (I)<br />

Median (CrIs)<br />

Model (II)<br />

Intercept -21.42 (-22.67; -20.28) - 4.53 (-4.89; -4.19)<br />

MAP FCLow 0.91 ( 0.70; 1.11) 0.88 ( 0.67; 1.09)<br />

shedding FCHigh 1.14 ( 0.90; 1.36) 1.13 ( 0.89; 1.37)<br />

level FCNeg Ref. Ref.<br />

Shape<br />

parameter<br />

� 2.67 ( 2.52; 2.83) 0.56 (0.51; 0.61)<br />

000<br />

1a � 1a 1<br />

1b<br />

HR<br />

4.0E -03<br />

3.5E -03<br />

3.0E -03<br />

2.5E -03<br />

2 0E 03<br />

HR<br />

1.8E -03<br />

1.6E -03<br />

1.4E -03<br />

1.2E -03<br />

1.0E -03<br />

8.0E -04<br />

6.0E -04<br />

4.0E -04<br />

2.0E -04<br />

0.0E+00<br />

0<br />

N<strong>on</strong>-shedders<br />

Low shedders<br />

Heavy shedders<br />

N<strong>on</strong>-shedders<br />

Low shedders<br />

Heavy shedders<br />

Figure 1. Posterior median (CrIs) <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> hazard functi<strong>on</strong> (HF) – <str<strong>on</strong>g>the</str<strong>on</strong>g> age-specific<br />

seroc<strong>on</strong>versi<strong>on</strong> rate (1a) and infecti<strong>on</strong> rate (1b) – for heavy-, low- and n<strong>on</strong>-shedders <str<strong>on</strong>g>of</str<strong>on</strong>g> MAP.<br />

DISCUSSION<br />

The proposed model allowed us to assess associati<strong>on</strong> between time to infecti<strong>on</strong> and<br />

shedding level by <str<strong>on</strong>g>the</str<strong>on</strong>g> analysis <str<strong>on</strong>g>of</str<strong>on</strong>g> available time-to-seropositivity data. Estimated median<br />

infecti<strong>on</strong> times dem<strong>on</strong>strated that animals getting infected earlier in <str<strong>on</strong>g>the</str<strong>on</strong>g>ir lives were more<br />

likely to become shedders in <str<strong>on</strong>g>the</str<strong>on</strong>g> future, fur<str<strong>on</strong>g>the</str<strong>on</strong>g>r c<strong>on</strong>tributing to <str<strong>on</strong>g>the</str<strong>on</strong>g> vicious cycle <str<strong>on</strong>g>of</str<strong>on</strong>g> MAP<br />

153<br />

3

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