Epidemiological patterns
Our data were obtained from an observational study of a birth cohort of East African shorthorn zebu calves. Of the 454 eligible calves that survived for 1 year, serological tests indicated that 392 were exposed to T. parva. Of the 88 eligible calves that died, 31 were determined to have died of ECF, 1 died of turning sickness (caused by T. parva infection of the nervous system), and 24 others were exposed to T. parva before death from other or undetermined causes. Together, this gives a best estimate of 448 calves exposed to T. parva during their first year, of which 93% survived the infection.
Twenty-four ECF deaths (77%) were classified as acute, that is, occurred within 35 days of first infection with
T. parva. Of the remainder, five were attributed to secondary reinfection with
T. parva, and two had uncertain infection dates, so these could not be categorized. Of calves surviving infection, 75 (18%) experienced clinical illness consistent with acute ECF but, for the majority, no clinical signs were detected. As previously reported (
14), surviving first infection with
T. parva (using seroconversion as a marker of previous exposure) strongly protects against subsequent ECF mortality [hazard ratio, 0.12; 95% confidence interval (CI), 0.07 to 0.22] through the development of T cell–mediated adaptive immunity (
17). The rate of exposure to
T. parva estimated from serology data (
18) was near constant over the first year of life (
Fig. 2A). In contrast, both the case fatality rate (proportion dying of acute ECF among those infected) and the net clinical ECF rate (proportion dying and/or experiencing clinical illness) declined with age (
Fig. 2A). These patterns are consistent with mathematical model predictions described below (see
Fig. 2B).
When calves were infected with the less pathogenic Theileria (LPT) species (T. mutans and T. velifera) before infection with T. parva, there were just 2 instances out of 25 (both with T. mutans alone) where we observed ECF-like clinical signs (compared with 29 of 53 when infected with T. parva alone, a significant difference: Fisher’s exact test, P < 0.001). T. velifera was never found in the absence of both T. parva and T. mutans. These data confirm that LPT do indeed have low pathogenicity in this population.
Natural challenge experiment
To test for evidence of heterologous protection by LPT, we exploited the longitudinal nature of our cohort study to design a large “natural challenge” experiment involving all 310 calves that did not seroconvert to
T. parva (or die from acute ECF) until >16 weeks old. Of these calves, 169 had seroconverted to
T. mutans by 16 weeks old, and 141 had not. We asked whether the outcome of subsequent
T. parva infection, that is, acute ECF death or survival, was associated with serological evidence of exposure to
T. mutans at 16 weeks. The natural challenge experiment has the advantage that it is considerably larger than would be feasible in a true experiment. However, because
T. mutans status is not assigned randomly, the approach requires that there is no bias between
T. mutans seropositive and seronegative calves with respect to factors potentially influencing the ECF case fatality rate. The requirement was met for all key indicators. There was minimal difference in the mean age of subsequent seroconversion to
T. parva among survivors (32 and 31 weeks for seropositive and seronegative calves, respectively). The two groups had similar levels of infections with strongyle worms at week 16 [median, 325 and 250 eggs per gram (epg), respectively]; this is a possible confounder of the effect of
T. mutans on clinical outcome of
T. parva infection (
14). Finally, there were seven deaths in each group (median age = 41 weeks for both) due to causes other than acute ECF.
Two calves in the
T. mutans seropositive group died of acute ECF before 1 year of age, compared with nine calves in the
T. mutans seronegative group (
Fig. 3A). The difference in acute ECF mortality rate (
Fig. 3A) was statistically significant [log-rank test: χ
2(1) = 6.2,
P = 0.013], and the size of the protective effect and the trend to decrease over time (
Fig. 3A) were both consistent with the predictions of a mathematical model (see below). This result is consistent with heterologous protection, but serology does not indicate whether the
T. mutans infection is still active or has been cleared.
Case-control study
We proceeded to study the infection histories of a subset of the calf cohort using a polymerase chain reaction (PCR)–based test, the reverse line blot (RLB) hybridization assay, which detects active infections (see Materials and Methods) and is better suited than serology to determine infection histories in the youngest calves because of the presence of maternal antibodies. We conducted a nested case-control study using 105 calves: all 24 calves that died of acute ECF (cases) and an age-matched subsample of 81 of the 392 calves that survived exposure to
T. parva (controls). Cases and controls had mean ages of 113 and 107 days, respectively. These calves were screened for the presence of other species of
Theileria parasites at every time point between birth and seroconversion to
T. parva (or death) using RLB. For statistical analysis, we defined four age classes (
Fig. 3B and
Table 1), noting that the earliest detection of
T. parva was at 16 days old. Exact conditional logistic regression indicated that concurrent infection with LPT at first infection with
T. parva was associated with an 89% reduction (95% CI, 47 to 99%;
P = 0.002) in the odds of dying of ECF (
Fig. 3B and
Table 2A). The analysis controlled for the increase in LPT prevalence with age, noting that LPT prevalence in calves when they were first infected with
T. parva was very similar to LPT prevalence in calves of the same age but not infected with
T. parva (
Fig. 3C).
We did not find any association of outcome with other co-infections, for example, strongyle nematodes or the tick-borne rickettsia
Ehrlichia spp. and
Anaplasma spp., and the association between outcome and LPT was robust to the inclusion of these as covariates in the analysis (
Table 2A). The association was also robust to the inclusion of any of >40 other covariates relating to the calf, its dam, or its environment (see the Supplementary Materials).
Incorporation of previous LPT status in the predictor variable did not improve model fit (
Table 2B), indicating that protection was most strongly associated with concurrent LPT infection. Nonetheless, because LPT causes chronic infections, the protective effect may be long-lived. However, if calves do clear LPT infection, then they revert to a level of risk that is statistically indistinguishable from calves that were never infected (odds ratio = 1.21; 95% CI, 0.26 to 5.52;
Table 2B).
If ECF mortality were associated with only specific, rare
T. parva strains, this could explain the low and age-related case fatality rate (although not the association with LPT). However, every individual infection of a subset that was genotyped exhibited a low number of alleles per locus (means of 1.09 to 1.18) together with a low expected heterozygosity (0.029 to 0.178). In contrast, a much higher level of heterozygosity (0.5 to 0.843) was observed in the overall population, calculated on the basis of the predominant multilocus genotypes. We interpret these data as indicating that each calf is infected with a low number of
T. parva genotypes, and that a single, highly abundant genotype predominates in each calf, but the predominant genotype varies from calf to calf with no obvious clustering of genotypes. So, there is evidence of a high level of diversity present in the
T. parva population, consistent with previous studies (
19), but no indication that there is a single pathogenic genotype circulating in the cattle population.
To investigate the physiological effects of concurrent LPT infection, we characterized the initial (pre-seroconversion) response to T. parva infection for a subset of 68 calves in the case-control study using a combination of hematological and immunological variables combined in a single index of clinical “severity” (see the Supplementary Materials). Severity, thus defined, was closely associated with whether calves remained healthy or died (table S1). However, calves that became clinically ill had similar severity scores to those that died (fig. S1). Given this observation, we looked for an association between LPT and clinical ECF in all surviving calves. Calves that were clinically ill had an LPT prevalence intermediate between those that remained healthy and those that died (fig. S2). We interpret these results as calves that died being at the extreme end of a clinical spectrum that is strongly influenced by the presence or absence of LPT.
Mathematical modeling
We used a mathematical model to explore the epidemiological consequences of heterologous protection against infectious disease in an endemic setting. The model (see Materials and Methods) considers the cumulative fraction of hosts of age
a exposed to a high pathogenicity parasite [
C(
a)] and the fraction currently infected with a low pathogenicity parasite [
L(
a)] and is potentially applicable to any combination of parasite or pathogen species in any host. Model parameters are defined in
Table 3 and were estimated using data from the calf cohort. The key model output is
U(
a), the age-specific rate at which hosts are first exposed to high pathogenicity infection in the absence of concurrent low pathogenicity infection, where
U(
a) = Λ
H(1 −
C(
a))(1 −
L(
a)). These hosts do not benefit from heterologous protection and so have elevated case fatality and net clinical ECF rates. Hosts that were never infected and hosts that have cleared low pathogenicity infections are both included in
U(
a). The use of a single force of infection, Λ
L, for LPT is supported by the highly correlated distributions of LPT species (association test for detection of
T. mutans and
T. velifera by RLB at 1 year old: odds ratio = 6.8, χ
2 = 78.9,
P < 0.001). The model does not specify the mechanism underlying heterologous protection; this could, in principle, comprise direct competition between parasite species, nonspecific innate immune responses, or cross-reactive adaptive immune responses.
For
Theileria infections in these calves, best-fit parameter estimates (
Table 3) indicate that Λ
L is almost 2× greater than Λ
H (so that young calves are likely to be infected with LPT before
T. parva) and that σ
H is more than 10× greater than σ
L [so that LPT infections have a much longer average duration (1/σ
L = 43 weeks) than
T. parva infections (1/σ
H = 3 weeks)]. These results imply that, once infected with LPT, most of the calves will remain infected for most or all their first year, whereas
T. parva infections are cleared rapidly to below detectable levels, consistent with previous observations (
16). Our estimates of the scaling parameters μ and η correspond to 12% of high-risk calves (
U) dying and a further 37% becoming clinically ill, in good agreement with estimated case fatality (CF) and net clinical (CL) rates in the youngest calves (12 and 42%, respectively;
Fig. 3A).
The model makes a number of predictions that constitute internal validation tests. First, the model predicts LPT prevalence by age in surviving calves in the case-control study, showing good agreement between prediction and observation (
Fig. 3C). Second, the model predicts LPT prevalence at T0 (the period when
T. parva was first detected), given observed prevalence at T-1 (35 days earlier) as the starting condition (
Fig. 3C): the central prediction was 0.45, and the model was an acceptable fit to observed data (prevalence = 0.51; 95% CIs, 0.39 to 0.62; χ
2 test,
P = 0.32). Third, the model predicts the age distribution of deaths (
Table 1) and provides an acceptable fit to the data [χ
2(3) = 2.82,
P = 0.42], although numbers are too low to differentiate reliably from a model without heterologous protection [same comparison: χ
2(3) = 4.71,
P = 0.19].
Consistent with the field data (
Fig. 2A), the model predicts a constant value for the rate of infection with
T. parva, but marked age-related decreases in both CF and CL (
Fig. 2B), more so if the force of infection with LPT (Λ
L) is high and/or if the rate of clearance of LPT infections (σ
L) is low (
Fig. 4). In the absence of heterologous protection, the model predicts constant CF and CL with age (
Fig. 4).
As sensitivity analyses, we compared model-predicted changes in CF with age for different parameter combinations. The results (
Fig. 4) illustrate the comparative influence of Λ
L and σ
L on CF as a function of age: increasing Λ
L lowers CF overall, but especially in younger calves; decreasing σ
L also lowers CF overall, but especially in older calves. High Λ
L and low σ
L together result in very low CF in all but the very youngest calves.
Model-predicted, overall fractions of exposed and high-risk calves during the first year of life (
C1 and
U1, respectively) and overall case fatality rate (CF
1) were compared for three scenarios: (A) varying Λ
L alone; (B) varying Λ
H alone; (C) varying both Λ
H and Λ
L by the same factor. All of these could represent natural variation in forces of infection, for example, due to variation in tick densities (
20), but scenario B also corresponds to
T. parva–specific interventions (for example, vaccination—see below) and scenario C to nonspecific interventions (for example, tick control using acaricides).
In scenario A, decreasing Λ
L does not change exposure to
T. parva but substantially increases both CF
1 (
Fig. 5A) and net ECF mortality. When Λ
L = 0, 82% of calves are exposed to high-risk
T. parva infections during their first year of life, and the overall case fatality rate is 12%. In terms of the ECF burden in our study population, if LPT were absent, the model predicts a 75% increase in deaths due to acute ECF (allowing for nonzero mortality in co-infected calves;
Fig. 3B), which equates to a 24% increase in total deaths. These results illustrate that we expect variation in ECF burden to reflect the value of Λ
L as well as Λ
H.
In scenario B, a 75% reduction in Λ
H only (from 2× to 0.5× baseline) results in a >50% fall in the fraction of calves at high risk,
U1 (
Fig. 5B). In contrast, in scenario C, the same reduction in Λ
H but coupled to an equivalent reduction in Λ
L results in a much smaller (~10%) fall in
U1, but correspondingly higher CF
1 (given that net exposure to
T. parva is unchanged;
Fig. 5C). For other plausible sets of parameter values, scenario C can result in increases in both
U1 and CF
1. The model thus provides a novel explanation for the puzzling phenomenon of endemic stability, where substantial variation in the prevalence of
T. parva infection over a certain level results in little variation in net mortality and morbidity due to ECF (
14). The model predicts that, as a consequence of heterologous reactivity, endemic stability will result whenever Λ
H and Λ
L covary (
Fig. 5C).
Finally, we considered the effects of changing the prevalence of LPT at different ages,
L(
a). A key result (table S2) is that the protective effect observed in the natural challenge experiment (odds ratio = 0.18; 95% CI, 0.02 to 0.87) is consistent with that predicted by the model (odds ratio = 0.29). The model also predicts that the size of the protective effect should diminish over time as some positive calves clear their LPT infections and some negative calves acquire LPT infection (cf.
Fig. 3A).