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1
Risk of rabies introduction by non-commercial movement of pets
The EFSA Journal (2006) 436 1-54, ”Assessment of the risk of rabies introduction into the UK, Ireland, Sweden, Malta, as a consequence of abandoning the serological test measuring protective antibodies to rabies”
P. Have, L. Alban, L.T. Berndtsson, F. Cliquet, P. Hostnik, S.C. Rodeia and M. Sanaa
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Current legislation
• Regulation (EC) No 998/2003– valid anti-rabies vaccination– waiting time of at least 21 days (COM
2005/91/EC)– derogations for UK, Ireland, Sweden and Malta
to maintain serological test– review of derogations at the end of transitory
period of 5 years following receipt of a scientific opinion of EFSA
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EFSA mandate
• Commission requested EFSA to issue a scientific opinion on the risk assessment of rabies introduction into Ireland, the UK, Sweden and Malta, as a consequence of abandoning the serological test for antibody titration for rabies
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Mandate cont’
• To what extent the abandoning of the individual serological test for neutralising rabies-antibodies titration could be envisaged without increasing the risk
• If the need to maintain the serological test is scientifically justified, what is the regime to be considered as giving equivalent assurance
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Approach
• Quantitative risk assessment based on
– prevalence of rabies in the country of origin in pets
– distribution of incubation periods of rabies– efficiency of establishing protective immunity
by vaccination– specificity of the neutralization test for rabies
(RFFIT or FAVN)– length of the waiting period
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Model parameters
Prevalence (P)– estimated from annual incidence data by
assuming a mean incubation time of 38 days– pet population size estimated from 1.0 dog and
1.1 cats per 10 people
P = incidence*38/(population at risk*365)
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Model parameters
• distribution of incubation periods– Dogs: 1 week to several
months– Cats: 9 days to 6
months
• described by a log-normal distribution with mean 38 days
0 50 100 150 200
0.0
00
0.0
05
0.0
10
0.0
15
0.0
20
0.0
25
days
fun
ctio
n(x
) d
lno
rm(x
, me
an
log
= 3
.37
, sd
log
= 0
.75
) (x
)
Incubation period
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Model parameters
Efficiency of vaccination (Ev)– assessed indirectly by measuring the antibody
response– measured after first, single vaccination– absence of antibodies not always associated
with loss of protection – interval between vaccination and testing major
determinant– Ev of 98% used tentatively in this study
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Model parameters
Test specificity (Sp)– determines whether truly antibody-negative
individuals are correctly assigned as such or whether some individuals are classified as false positive
– FAVN test more specific than RFFIT– a tentative value of 99% is used here
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Model parameters
• Length of waiting period (t)– Measured from time of vaccination
– t will determine the residual prevalence Pa of animals incubating rabies due to pre-vaccination exposure
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Risk pathways
Pet at timeof vaccination
Currently Notincubating rabies
Currentlyincubating rabies
1 - P
P
Not Protected
1- EV
Tested falsepositive forprotection
Not Tested
Becomesinfected during
waiting time
Becomesinfected during
waiting time
Doesn’t showClinical signs
during WT
Doesn’t showClinical signs
during WT
RIWT
Not Protected
1Doesn’t showClinical signs
during WT
1- fA
1- SP
TYPE B RISK
TYPE A RISK
1- fB
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Type A risk
Incubation period
VaccinationVaccinationDay ofDay ofinfectioninfection
ClinicalClinicalsignsign
Waiting time
Residual Incubation period
Time
13
Type B risk
Incubation period
VaccinationVaccinationClinicalClinical
signsign
Waiting time
Day ofDay ofinfectioninfection
Time
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Model descriptionPrevalence A and B
• prevalence Pa of animals already incubating rabies will gradually decrease as a result of developing clinical diseasePa = P * f(t)
• prevalence Pb of animals infected after the time of vaccination will gradually replace PaPb = P * (1- f(t))
0 50 100 150 200
0.0
0.2
0.4
0.6
0.8
1.0
Waiting period
f(t)
PaPb
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Model descriptionRisk A and B
• Type A risk
• Type B risk with vaccination
• Type B risk with vaccination and serology
• Ra = P * f(t) = Pa
• Rb = (1 - Ev) * Pb
• Rb = (1 – Sp) * (1 - Ev) * Pb
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Model descriptionTotal risk
• Total risk Rtot that an animal incubates rabies at time t after vaccination and serological testing is given by the sum of Ra and Rb:
Rtot = P * f(t) + (1 – Sp) * (1 - Ev) * Pb orRtot = P * (f(t) + (1 – Sp) * (1 - Ev) * (1- f(t))) or
Rtot = P * (1 – (Ev + Sp - Ev * Sp )*(1- f(t))
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Model descriptionmodelling f(t)
• Sample an incubation period (ip) from the lognormal distribution
• Sample an interval between infection time and vaccination (int) from a uniform distribution between 0 and 365 days prior to vaccination
• F(t) calculated from positive values of ip-int
• 100.000 iterations0 50 100 150 200
0.0
0.2
0.4
0.6
0.8
1.0
Waiting period
f(t)
PaPb
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Model descriptionnon-linear least squares estimate of f(t)
• f(t) = exp(-0.0313*t)
Rtot = P * (1 – (Ev + Sp - Ev * Sp )*(1- exp(-0.0313*t))
0 50 100 150 200
0.0
0.2
0.4
0.6
0.8
1.0
waiting period
f(t)
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Effect of serological testing
0 50 100 150 200
24
68
10
waiting period
ga
in fa
cto
r fo
r se
rolo
gic
al t
est
ing