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A mathematical model can be used to estimate the sensitivity required of point of care tests for N. gonorrhoeae and C. trachomatis that will enable them to perform as well as gold standard tests in different populations.

Sensitivity requirements for the point of care diagnosis of Chlamydia trachomatis and Neisseria gonorrhoeae in women.
Vickerman P, Watts C, Alary M, Mabey D, Peeling RW.
Sexually Transmitted Infections 2003;79:363-68.

 

Summary:

Question
How can the minimum required sensitivities of point of care STI tests, which result in as many STIs being averted as if the gold standard test had been used, be estimated?

Design
This study describes a mathematical model that estimates the minimum required sensitivities of point of care tests (POC) that lead to more gonococcal and chlamydial infections being averted than the gold standard test by taking into consideration the delay between diagnosis using the gold standard and treatment and the associated loss to follow-up and transmission of infection.

Participants
The model was tested using behavioral, epidemiological, and clinical data from six clinical settings that reflect differences in transmission during a delay in treatment due to different levels of sexual activity and STI prevalence. The settings included no transmission during delay in treatment, transmission by female sex workers in Virginia, South Africa, in Cotonou, Benin, and in London, UK, by women with long-term partners in the Mwanza region of Tanzania, and by sexually active women attending a GUM clinic in London.

Description of Tests and Diagnostic Standard
Gift et al. showed that, for the number of infected people treated as a result of a POC test to be greater than the number treated as a result of the current gold standard test, the sensitivity of the POC test must satisfy the equation: [S
r>μSg], where Sr is the sensitivity of the POC test, Sg is the sensitivity of the gold standard test, and μ is the proportion of patients who return for treatment. However, STI transmission may occur during the delay between gold standard testing and treatment, and must also be taken into consideration when comparing the use of the POC test to the gold standard test. Therefore, the equation becomes: [Sr>μSg/1+Y], where Y is the average number of sexual partners each infected person infects. Y is estimated using an established mathematical equation that describes the probability of STI transmission over a fixed period of time and is dependent on the average number of sexual partners per unit time, the proportion of sexual partners who are already infected with the STI, the average number of sex acts per partnership per unit time, the STI transmission probability per unprotected sex act, the condom efficacy per sex act, the average consistency of condom use, and the delay in treatment.

Values for the variables in the equation for Sr were obtained from data collected in the six STI clinic settings. The per sex act probability of N. gonorrhoeae and C. trachomatis transmission from females to males was assumed to be 0.3 and 0.11, respectively. Condom use was assumed to reduce the per sex act probability of transmission by 90%. It was also assumed that there was a 10 day delay in treatment when using the gold standard test, an 80% return for treatment rate, and that the gold standard tests for C. trachomatis and N. gonorrhoeae were both 90% sensitive.

Main Outcome Measures
The minimal sensitivities required for POC tests to avert more STIs than the gold standard tests, given the assumptions and data from the clinics, were estimated for each clinical setting.

Main Results
From the equation, the required sensitivity of a POC test (S
r) is low if the return rate (μ) is low and /or there is STI transmission during the delay in treatment (Y). The required sensitivity decreases for groups with a greater rate of sexual partner change, higher frequency of sexual acts, and lower condom use, all factors affecting Y. In settings where there is a substantial potential for further STI transmission, such as among sex workers, even a low sensitivity method of detecting STIs could have greater impact than current gold standard tests if the return rate was 80%. In settings where there is little potential for further STI transmission, the required sensitivity of the POC test is high and dependent on the sensitivity of the gold standard test and the return rate. The estimates of the required sensitivities of POC tests for C. trachomatis and N. gonorrhoeae that will avert more STIs than the gold standard tests are shown in the table for each of six clinical settings.

Authors' Conclusions
The required sensitivity of a POC test is highly dependent upon the proportion of women that return for the result of a gold standard test, and the potential for further STI transmission during the delay in treatment. In general, the required sensitivity of a POC test increases proportionally to the sensitivity of the gold standard test and the return rate and decreases proportionally to the inverse of the delay in treatment. These results support the use of POC tests in scenarios where it would be difficult to ensure a high return rate, and in populations where there is potential for further STI transmission during the delay in treatment from using laboratory STI tests.

Source of funding: UNDP/World Bank/WHO Special Programme for Research and Training in Tropical Diseases (TDR), and partly by the Wellcome Trust

For correspondence: Peter Vickerman, London School of Hygeine and Tropical Medicine, Keppel Street, London WC1E7HT, UK. E-mail address: peter.vickerman@lshtm.ac.uk.

   

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