| Literature DB >> 24740286 |
Pere-Joan Cardona1, Cristina Vilaplana1.
Abstract
Although contacts between tuberculosis patients may result in multiple consecutive infections (MCI), no experimental animal models consider this fact when used in basic studies. Moreover, the current TB vaccine (BCG) has demonstrated a limited protection in humans. In this study we evaluate the effect of tuberculosis MCI by way of a simple mathematical analysis using data from the low dose aerosol murine experimental model. The results show that a higher number of, or shorter intervals between, multiple consecutive infections reduce the protective effect of BCG. This is due to both the increase in bacillary load at the stationary level of the infection, and the protective immune response induced by the infection itself. This factor must therefore be taken into account when designing new prophylactic strategies as candidate vaccines for the replacement of BCG.Entities:
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Year: 2014 PMID: 24740286 PMCID: PMC3989258 DOI: 10.1371/journal.pone.0094736
Source DB: PubMed Journal: PLoS One ISSN: 1932-6203 Impact factor: 3.240
Figure 1Evolution of the bacillary load in the model of single or multiple consecutive infections (MCI).
Progression of the bacillary concentration in both naïve (A to C) and BCG-vaccinated mice (D to F) after single infection (A and B) or MCI with 10 (x10) or 40 (x40) infections. The red line represents the sum of the bacillary load at all individual infection sites.
Figure 2Influence of the number of multiple consecutive infections (MCI) to the stationary level.
Picture A shows the evolution of the total bacillary load in the lung (sum) after different number of MCI in naïve mice. The data have been adjusted to a polynomic formula: (R2 = 0.9865). In Picture B which shows differences between naïve and vaccinated mice, the formula has been adjusted to an exponential one: (R2 = 0.9883).
Example of the analysis considering five MCI with intervals of 24
| CFUs Naïve (non-vaccinated mice) | CFUs BCG-vaccinated mice | |||||||||||
| Infection Sites | Infection Sites | |||||||||||
| Day | 1 | 2 | 3 | 4 | 5 | Sum | 1 | 2 | 3 | 4 | 5 | Sum |
|
| 100 | 100 | 100 | 100 | ||||||||
|
| 309 | 100 | 409 | 309 | 100 | 409 | ||||||
|
| 477 | 309 | 100 | 886 | 477 | 309 | 100 | 886 | ||||
|
| 737 | 477 | 309 | 100 | 1623 | 737 | 477 | 309 | 100 | 1623 | ||
|
| 1138 | 737 | 477 | 309 | 100 | 2762 | 1138 | 737 | 477 | 309 | 100 | 2762 |
|
| 1759 | 1138 | 737 | 477 | 309 | 4420 | 1759 | 1138 | 737 | 477 | 309 | 4420 |
|
| 2716 | 1759 | 1138 | 737 | 477 | 6827 | 2716 | 1759 | 1138 | 737 | 477 | 6827 |
|
| 4196 | 2716 | 1759 | 1138 | 737 | 10546 | 4196 | 2716 | 1759 | 1138 | 737 | 10546 |
|
| 6481 | 4196 | 2716 | 1759 | 1138 | 16290 | 6481 | 4196 | 2716 | 1759 | 1138 | 16290 |
|
| 10010 | 6481 | 4196 | 2716 | 1759 | 25161 | 10010 | 6481 | 4196 | 2716 | 1759 | 25161 |
|
| 15462 | 10010 | 6481 | 4196 | 2716 | 38865 | 15462 | 10010 | 6481 | 4196 | 2716 | 38865 |
|
| 23883 | 15462 | 10010 | 6481 | 4196 | 60032 | 23883 | 15462 | 10010 | 6481 | 4196 | 60032 |
|
| 36890 | 23883 | 15462 | 10010 | 6481 | 92726 | 36890 | 23883 | 15462 | 10010 | 6481 | 92726 |
|
| 56982 | 36890 | 23883 | 15462 | 10010 | 143228 | 56982 | 36890 | 23883 | 15462 | 10010 |
|
|
| 88016 | 56982 | 36890 | 23883 | 15462 | 221234 | 88016 | 56982 | 36890 | 23883 | 15462 | 221234 |
|
| 135952 | 88016 | 56982 | 36890 | 23883 | 341724 |
| 88016 | 56982 | 36890 | 23883 | 341724 |
|
| 209995 | 135952 | 88016 | 56982 | 36890 | 527835 | 135952 |
| 88016 | 56982 | 36890 | 453792 |
|
| 324364 | 209995 | 135952 | 88016 | 56982 | 815309 | 135952 | 135952 |
| 88016 | 56982 | 552854 |
|
|
|
|
|
| 88016 |
| 135952 | 135952 | 135952 |
| 88016 | 631824 |
|
| 501022 | 324364 | 209995 | 135952 |
| 1307284 | 135952 | 135952 | 135952 | 135952 |
| 679760 |
|
| 501022 | 324364 | 209995 | 135952 | 135952 | 1307284 | 135952 | 135952 | 135952 | 135952 | 135952 | 679760 |
Evolution of the infection at each site is followed over time using a spreadsheet (all data can be found as Table S1). We consider the formula where No is the initial dose (100 CFUs), and t is the time in days. We highlight in bold italics the total bacillary load in the lung (sum) at the time when the immune response induced the stationary level in the model of single infection (1,195,374 and 135,952 CFUs for naïve and vaccinated mice, respectively). At this time the stationary level is reached at each infection site where there is a minimal bacillary concentration (135,952 CFUs, in bold). This is why, in contrast to what happens in a single infection model, the first infection stops before reaching 1,195,374 CFUs (i.e. on day 18 at 501,022 CFUs). The stationary level is therefore reached at all sites except site 5, which has not reached the minimal bacillary concentration.
In the case of BCG-vaccinated mice, the stationary level at each site could be reached earlier as the sum on day 13 is 143,228. This exceeds the level of 135,952 bacilli, and thus the immune response is ready. However, there is insufficient bacillary load locally, which is why the stationary level is not immediately reached at each infection site. This illustrates how important it is for the local bacillary load to have the benefit of the immune response.
Figure 3Influence of the interval between multiple consecutive infections (MCI) on the stationary level.
Picture A shows the evolution of the total bacillary load in the lung (sum) considering 10 consecutive infections only. The data have been adjusted to a polynomic formula: (R2 = 0.9988). In Picture B, which show differences between naïve and vaccinated mice, the formula is: (R2 = 0,9774).