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Predicting Human Papilloma Virus Prevalence and Vaccine Policy Effectiveness

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Title: Predicting Human Papilloma Virus Prevalence and Vaccine Policy Effectiveness


1
Predicting Human Papilloma Virus Prevalence and
Vaccine Policy Effectiveness
Courtney Corley Department of Computer
Science University of North Texas
2
Human Papilloma Virus
  • Sexually Transmitted Virus which can lead to
    cervical dysplasia (cancer).

Found in 99.7 of all cervical cancers
Types 16,18,31,45 account for 75 of cervical
cancer
3
Human Papilloma Virus
  • 80 of the sexually active adult population will
    contract HPV

U.S. spent over 1.6 billion in treating symptoms
of HPV
U.S. estimates 13,000 cases of cervical cancer
2004
2005
5-6 billion spent on screening tests such as pap
smears.
More than 5,000 will die from cervical cancer
4
HPV Vaccine
  • Exciting news!
  • Several candidate vaccines are in phase III
    testing with the FDA

Drug companies are currently in licensing
arbitration
5
Sexually Transmitted Disease Modeling
  • Sexual activity and sexually active populations
  • Transmission Dynamics
  • Contact rates and activity groups
  • Risk of Transmission
  • Sexual mixing
  • Demographic Stratification

6
Who do we model?
  • We model the individuals who are
  • currently sexually active

and able to contract the disease
7
Sexually Active
We define the sexually active population age
range as
  • The range in years in which an individual changes
    sexual partners more than once per year on average

8
Sexually Active Ages
  • Given this concept of sexual activity the age
    ranges for each model are

HPV 15-30
0
20
40
Age (years)
9
Transmission Dynamics
Contact Rates
  • Modeling sexually transmitted diseases is similar
    to modeling other infectious diseases, they
    depend on

Population Mixing
10
Contact Rates
  • The contact-rate is the number of partner
    changes per year

High
We define three sexual activity groups by
contact-rates
Moderate
Low
11
Sexual Activity Groups
partner changes/year
12
Risk of Transmission
  • The risk of transmission is based on two factors

The risk of transmission in one sexual encounter
The average number of sexual encounters with one
partner
13
Relative Risk of Transmission
  • The average is taken to determine the relative
    risk for HPV infection
  • HPV
  • Male-to-Female 80
  • Female-to-Male 70

14
Demographic Stratification
  • To accurately model geographic regions, we
    categorize the population further

Demographics
15
Demographic Stratification
Low
  • We have our three activity groups

Moderate
High
And we have our demographic parameters
  • Now we combine
  • a demographic trait
  • the sexual activity classes
  • to represent the

demographically stratified population
16
Example Stratification
  • HPV
  • Age range 15-30 years
  • Stratify at 5 year intervals
  • Different contact rates can be assigned to each
    group

17
Population Interaction
  • A contact can take place between an individual in
    a subgroup demographic, sexual activity class
    and an individual
  • In the same subgroup
  • or
  • In a different subgroup
  • Consider our HPV population example

18
Population Interaction Example
  • A 23 year old male in the moderate activity class
    will make 3 contacts per year

This is an example of where the contacts could
occur
19
  • So far . . .
  • Sexual Activity Classes
  • Demographic Stratification
  • Transmission Dynamics
  • Contact Rates
  • Population Interaction

20
Population States
  • Now, we need to keep track of
  • Who is susceptible to the disease
  • Who has the disease and is infectious
  • Who has recovered from the disease

Also for HPV
  • Who has been Vaccinated
  • Who has the disease and been vaccinated,
    Vaccinated Infectious

21
HPV
  • Note A constant population is maintained. Every
    year/update in the model a proportion of the
    population
  • Enters or ages-in as susceptibles
  • Leaves or ages-out

22
Application
  • Our goal is to bridge the gap between the
    mathematical epidemiologists and professionals in
    industry and public health officials

We have developed a computer application
interface to this model, which simulates endemic
prevalence of a disease
23
Application Interface
  • Input parameters
  • Disease
  • Population
  • Vaccine

Output Populations in each state over length
of simulation
24
HPV Application Demo
  • The following parameters are used in this demo
  • Age range 15-30, 5 year group interval
  • Sexual activity classes of low, moderate and high
  • Denton County, TX population data from the 2000
    U.S. Census
  • 75 vaccine efficacy
  • 90 vaccine coverage
  • Vaccine is effective for 10 years

25
Application Start Page
26
Input Parameters
27
Population Parameters
Denton County, 2000 U.S. Census Data
15-19 20-24 25-29 Total
Males 15,923 17,106 19,237 52,266
Females 15,579 18,478 19,193 53,250
28
Vaccine Parameters
29
Application Output
30
Population Graph Output
31
Population Ratio Graph Output
32
HPV Experiments
Vaccination Policy Male (M) Female (F)
Hughes, Garnett and Anderson Model Hughes, Garnett and Anderson Model Hughes, Garnett and Anderson Model
None M F F High-risk M F High-risk F Spread targeting M F Spread targeting F 0.038 0.020 0.030 0.035 0.037 0.033 0.036 0.039 0.020 0.027 0.037 0.038 0.035 0.036
Temporal Model Temporal Model Temporal Model
None M F F Ages 15-19 M F Ages 15-19 F Ages 20-24 M F Ages 20-24 F Ages 25-29 M F Ages 25-29 F 0.047 0.014 0.033 0.025 0.038 0.029 0.040 0.038 0.044 0.050 0.015 0.025 0.026 0.033 0.031 0.036 0.040 0.043
Proportion of population with sustained
infection
33
Results
  • Qualitative assessment
  • Denton County would have a larger benefit in
    starting vaccination at age (15-19) than
    vaccinating high-risk minorities

34
Related Material
  • Our paper currently in review with the model
    description in the appendix
  • http//cerl.unt.edu/corley/pub/corley.ieee.bibe.
    2005.pdf
  • link to the web-application demo
  • http//cerl.unt.edu/corley/hpv

35
Conclusion
  • Modeling these diseases with this application
    will maximize resource allocation and utilization
    in the community or population where it is most
    needed

36
References
Thank You!
  • J. Hughes and G. Garnett and L. Koutsky. The
    Theoretical Population-Level Impact of a
    Prophylactic Human Papilloma Virus Vaccine.
    Epidemiology, 13(6)631639, November
  • 2002.
  • N. Bailey. The Mathematical Theory of Epidemics.
    Hafner Publishing Company, NY, USA, 1957.
  • R. Anderson and G. Garnett. Mathematical Models
    of the Transmission and Control of Sexually
    Transmitted Diseases. Sexually Transmitted
    Diseases, 27(10)636643, November 2000.
  • S. Goldie and M. Kohli and D. Grima. Projected
    Clinical Benefits and Cost-effectiveness of a
    Human Papillomavirus 16/18 Vaccine. National
    Cancer Institute, 96(8)604615, April 2004.
  • The Youth Risk Behaviour Website, Centers for
    Disease Control and Prevention, 2005.
    http//www.cdc.gov/HealthyYouth/yrbs
  • M. Katz and J. Gerberding. Postexposure Treatment
    of People Exposed to the Human Immunodeficiency
    Virus through Sexual Contact or Injection-Drug
    Use. New England Journal of Medicine,
    3361097-1100, April 1997.
  • Youth Risk Behaviour Surveillance National
    College Health Risk Behaviour Survey, Centers for
    Disease Control and Prevention, 1995.
  • D. Heymann and G. Rodier. Global Surveillance,
    National Surveillance, and SARS. Emerging
    Infectious Diseases, 10(2), February 2004.
  • E. Allman and J. Rhodes. Mathematical Models in
    Biology An Introduction. Cambridge University
    Press, 2004.
  • G. Garnett and R. Anderson. Contact Tracing and
    the Estimation of Sexual Mixing Patterns The
    Epidemiology of Gonococcal Infections. Sexually
    Transmitted Diseases, 20(4)181191, July-August
    1993.
  • G. Sanders and A. Taira. Cost Effectiveness of a
    Potential Vaccine for Human Papillomavirus.
    Emerging Infectious Diseases, 9(1)3748, January
    2003.
  • J. Aron. Mathematical Modelling The Dynamics of
    Infection, chapter 6. Aspen Publishers,
    Gaithersburg, MD, 2000.
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