Transcript Document

A Mathematical Model for the Impact of the Conjugate Vaccine on S. pneumoniae
Vaccine and Non-vaccine serotypes
Robertino M Mera MD PhD*, Linda A Miller PhD*, Michael A Pentella PhD***, Thomas R Fritsche MD PhD**, Ronald N Jones MD**
* GlaxoSmithKline, Upper Providence, PA. ** JMI Laboratories, North Liberty, IA. *** University of Iowa Hygienic Laboratory, Iowa City, IA
Introduction
The heptavalent pneumococcal conjugate vaccine (PCV7) has been available
since February 2000 and contains polysaccharide conjugate for serotypes 4, 6B,
9V, 14, 18C, 19F and 23F. These seven serotypes accounted for the majority of
pediatric as well as adult pneumococcal infections in the pre-licensure era, but
represent only a fraction of the 90 known serotypes [1].
Despite initial problems with distribution, the vaccine had reached coverage [2] of
73% for three dosages in children 19-35 months of age by 2004. Several reports
[3] revealed substantial decreases in the incidence of invasive pneumococcal
disease caused by vaccine serotypes. Despite these successes, there have been
conflicting reports as to the impact of the vaccine on antimicrobial resistance.
Although penicillin resistance had diminished among invasive isolates, a recent
report shows that pneumococcal vaccination did not appreciably change the
prevalence of drug-resistant strains of Streptococcus pneumoniae [4].
A compartment transmission mathematical model is introduced in order to
understand the changes over time in the serotype proportion and multiple
resistance (MR) to antibiotics in the United States. A surveillance study is used to
corroborate the insights of the mathematical model.
Pneumococci Transmission Dynamics:






R0 = Colonizing potential of pneumococci

1
1 
b = transmission rate per unit of time
m = removal rate of hosts from population
 R0
f = rate of loss of colonization
v = proportion vaccine serotypes among all isolates
nv = proportion of non-vaccine serotypes
b  b V v  b NV nv
R0 
b
Percent
20%
Timing
m f
R01998  R02003
NV
V
Among PCV7 serotypes, isolates resistant to only one antibiotic drop by a factor
of 5, and they are the ones with the least transmission advantage. Susceptible
isolates decrease by a factor of 3, while multiple resistant isolates drop only by a
factor of 2, and they are the least affected by the drop in prevalence and the
switch process.
Transmission of non-vaccine serotypes are favored by the vaccine, and MR
isolates have the most transmission advantage, and they increase by a factor of
roughly 3.5. Isolates resistant to only one antibiotic increase by a factor of a little
more than 2, while isolates susceptible to all antibiotics increase in the postvaccine period by a little less than 2.
Pre 98 99
Post 03 04
15%
b v1998  b nv1998 b v2003  b nv2003

m f
m f
V
This process is more pronounced in children than in adults, and also more
noticeable in not-invasive isolates when compared to invasive isolates.
NV
The proposed mathematical model, by framing the changes in prevalence of
vaccine and non-vaccine serotypes in terms of transmission advantage (or
disadvantage) allows us to properly understand the impact of S. pneumoniae
conjugate vaccine.
5%
b V .66  b NV .34  b V .34  b NV .66
0%
19 14 23 6b 9v 18 4 19 6 23 9 1 10 11 12 15 16 17 20 22 3 33 35 38 5 7 8
f
f
c
no no no no
f b f v
• Serotype replacement has to occur for colonization to remain stable
•  NV Serotypes =  V Serotypes
b
V
1998
b
b
V
2003
NV
1998
b
PCV7
NV
2003
Vaccine Effect
V
bnv V
Non-vaccine Serotypes
Pre 1998 - 1999
V NV
X
f
nv NV
Colonized
with both
Known Facts used to design the mathematical model:

39%
40%
Status
Susceptible
Any one non-S
Two or more R
30%
NV
bnv X
Vaccine Effect


Post 2003 - 2004
30%
Results


f vV
Not Colonized
VR
Due to serotype switch multiple resistance (MR) was just slightly higher in the
post vaccine era, 47% vs. 46% than in the pre-vaccine era. Nonetheless,
significant changes were observed, mainly with resistance increasing 3.7 times
among non-vaccine serotypes, and declining (as a proportion of all serotypes)
among VS from 39% to 21%. See graph below.
Vaccine Serotypes
bvX
Conclusions

Structure of the mathematical model:
704 isolates were sampled from a large dataset generated by a longitudinal
surveillance program (SENTRY) from before and after PCV7 introduction. Equal
numbers were obtained from the years before (1998-1999) and after (2003-2004)
the introduction of the vaccine.
The strains originated from the nine US census regions. Age, sex, geographic
origin, isolate source, serotype and resistance information were available for the
analysis. Multiple resistance is defined as resistance to two or more antibiotic
classes; penicillins, macrolides, sulfas, tetracyclines and quinolones.

  Carriage rate

10%
Methods
S. pneumoniae transmission dynamics are used to develop a mathematical
model that takes into account changes over time among vaccine and non-vaccine
serotypes. The results from the mathematical model are then applied to the
evaluation of a surveillance study.
The serotype distribution before and after the introduction of the PCV7 vaccine
can be seen below.
26%
21%
20%
20%
17%
15%
Non Vaccine Serotypes
References
1.
bvNV
Bars show percents
2.
10%



Pneumococcal vaccine does not change the Colonization Rate among
vaccinated children or the whole population so: CR1998 = CR2004
Vaccine serotypes are replaced by non-vaccine serotypes in vaccinated
children and their contacts.
The coverage for 3 doses of PCV7 in the US was 73.2 % in 2004; 68.1% in
2003; 40.8% in 2002.
Insights from the mathematical model:


Non-vaccine serotypes will replace vaccine serotypes among vaccinated and
non-vaccinated children for a given vaccine coverage until an equilibrium is
reached.
Among vaccine serotypes, susceptible isolates will have the most
transmission disadvantage, followed by single resistant isolates.
10%
3.
7% 7%
6%
2%
4.
NV
Serotype
PCV7
NV
Serotype
PCV7
In the study population Non Vaccine Serotypes have now the same
prevalence that the Vaccine Serotypes had before the introduction of the
PCV7 vaccine.
A herd immunity effect in adults has contributed to the serotype switch
process.
Non Vaccine Serotypes have acquired multiple resistance at a rate that is
proportional to the replacement process.
Vaccine Serotypes have continued to acquire multiple resistance despite the
fact that they are less prevalent in the post-vaccine era.
Invasive isolates have experienced both the serotype switch and the increase
in multiple resistance, but at a lower rate than middle ear isolates.
Overall multiple resistance will likely continue to increase despite serotype
replacement.
Black S, Shinefield H, Fireman B, et al. Efficacy, safety and
immunogenicity of heptavalent pneumococcal conjugate vaccine in
children. Pediatr Infect Dis J 2000; 19:187–95.
CDC National Immunization survey, accessed on 5/30/2006 at the URL:
http://www.cdc.gov/nip/coverage/NIS/04/toc-04.htm
Whitney CG, Farley MM, Hadler J, et al. Decline in invasive
pneumococcal disease after the introduction of protein-polysaccharide
conjugate vaccine. N Engl J Med 2003; 348:1737–46.
Frazao N, Brito-Avo A, Simas C, Saldahna J et al. Effect of the sevenvalent conjugate pneumococcal vaccine of Streptococcus pneumoniae in
healthy children attending day-care centers in Lisbon. Pediatr Infect Dis J
2005; 24:243-252.
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