1. Carl Bergstrom discusses the role of proactive COVID-19 testing in mitigating the spread of the virus. He outlines four roles for testing: individual diagnosis, clearance, surveillance, and mitigation.
2. Bergstrom presents analytic models showing that regular testing can significantly reduce exposure days by identifying infectious individuals who would otherwise spread the virus without knowing they are infected. The models factor in testing frequency, false negative rates, and delays in getting results.
3. More complex stochastic models developed by Ryan McGee capture real-world factors like disease dynamics across social networks, individual heterogeneity, and varying test sensitivity over time. Simulations show that even with these complexities, regular testing as part of a test-trace
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Proactive COVID-19 testing to mitigate spread
1. COVID-19
Proactive testing to mitigate spread
Carl T. Bergstrom
Department of Biology
University of Washington
IPAM Workshop on Mathematical Models in Understanding COVID-19
Photo: Carl Bergstrom
2. Analytic approximations
Ted Bergstrom, UCSB
Haoran Li, UCSB
Stochastic network model
Ryan McGee, UW
with Ben Kerr, Omar Cornejo,
Mark Tanaka, Julian Homberger,
Hannah Williams, Alicia Zhou
Photo: Carl Bergstrom
3. Disclosures
I have a paid consulting relationship with
Color Genomics, and I will be talking about
some of that work today. I have no financial
interest in the production or sales of COVID
tests or treatments.
I do have vested interests in going places,
seeing people, working at the office, eating at
restaurants, drinking at the bar, playing sports,
hearing live music, sending my son to school,
sending my daughter to college, visiting
Europe, visiting anywhere else, and
photographing birds that cant be bothered to
visit Seattle.
Photo: Carl Bergstrom
4. A vaccine is coming
But it wont be a panaceaif it comes at all.
Photo: Carl Bergstrom
6. This is a talk about testing.
Photo: Carl Bergstrom
7. Four roles for Covid-19 testing
Individual diagnosis, clearance, surveillance, and mitigation.
1. Individual diagnosis
Symptomatic patients, for
treatment and peace of
mind.
High sensitivity and
specificity desired.
CC-BY-2.0 Lisa Helfert
8. Four roles for Covid-19 testing
Individual diagnosis, clearance, surveillance, and mitigation.
2. Clearance
Verify that patients and
practitioners are uninfected
prior to performing a
procedure.
Travel? Other activities?
High sensitivity needed.
Specificity less essential.
CC 59th Medical Wing
9. Four roles for Covid-19 testing
Individual diagnosis, clearance, surveillance, and mitigation.
3. Surveillance
Public health officials want
to track prevalence and
trajectory of pandemic.
Can correct for lower
sensitivity and (if common)
lower specificity.
Chen and Ngu 2020 ProPublica
10. Four roles for Covid-19 testing
Individual diagnosis, clearance, surveillance, and mitigation.
4. Mitigation
Find non-symptomatic
cases and isolate / trace as
a means of disease control.
Volume is more important
than sensitivity or
specificity.
Larremore et al. 2020 Test sensitivity is secondary to frequency and turnaround time for COVID-19 surveillance
11. Speed is critical in all cases.
1. Individual health.
Patients dont want to
wait.
Treatments may depend
on diagnosis.
Helfert; 59th Med Wing; ProPublica; Larremore
3. Surveillance
Heath officials need the
latest information to make
good decisions.
4. Mitigation
Every days delay is an
extra day an infected
person is walking around
spreading disease.
2. Clearance
Tests should be point-of-
care to minimize chance of
becoming infectious after
sampling.
12. The CDC guidelines state that:
Testing of all students, faculty and staff for
Covid-19 before allowing campus entry (entry
testing) has not been systematically studied. It is
unknown if entry testing in IHEs provides any
additional reduction in person-to-person
transmission of the virus beyond what would be
expected with implementation of other infection
preventive measures (e.g., social distancing,
cloth face covering, hand washing, enhanced
cleaning and disinfection). Therefore, CDC does
not recommend entry testing of all returning
students, faculty, and staff.
13. The aim of proactive (mitigation) testing:
Reducing exposure-days
Latent Infectious
Time
Test
quarantine
Delay d
Infectious period C
Results
14. C # infectious days
n Testing periodicity
q False negative rate
d Delay for results
By what fraction does testing and isolation
reduce exposure days relative to no testing at all?
15. C # infectious days
n Testing periodicity
q False negative rate
d Delay for results
When testing periodicity is longer than
infectious period, individuals will only be
tested once while infectious.
true positive false negativetested not tested
Simplifies to
Expected
exposure days
16. When testing periodicity is shorter than
the infectious period, you get multiple
chances to catch an infection.
Where and
C # infectious days
n Testing periodicity
q False negative rate
d Delay for results
After a bit of algebra, you can still get a nice expression for the expected
exposure days.
17. But some symptomatic individuals can
self-isolate. We need to account for this.
Time
Latent Asymptomatic
Exposure days
u
Latent Pre-sympt. Symptomatic, non-isolating
Exposure days
(1-u)v
Latent Pre-sympt. Sympt. Self-isolating
Exposure days
(1-u)(1-v)
22. The real world is not so simple
Disease dynamics
Social network structure
Heterogeneity of disease trajectory, infectivity, etc.
Varying test sensitivity over time
Non-compliance with testing and isolation
Photo: Carl Bergstrom
23. Ryan McGees SEIRS+ framework
Open source python-based stochastic SEIRS model with multi-level
network structure, network interventions (targeted testing, social
distance, contact tracing, isolation, etc.)
https://github.com/ryansmcgee/seirsplus
29. Use case: workplace testing
https://www.color.com/covid-19-outbreak-model
Setting: workplaces of size 50-1000.
Intervention: self-administered workplace testing via nasal swab.
Network: single-layer FARZ network with 40% global transmission
Outcome measure: size of epidemic resulting from one introduction
35. Speed is of the essence
https://www.color.com/covid-19-outbreak-model
Mean fraction infected
Fraction >5%
Total epidemic size
36. Use case: community test-trace-isolate
Setting: Community of 50,000
Intervention: test-trace-isolate
Network: multilayer FARZ with household, school, workplace structure.
Outcome measure: change in effective R value
44. Take-home messages
Proactive testing can help control the epidemic
but the speed of turnaround is essential.
Simple models give decent approximations and allow
quick exploration of speed / sensitivity / volume / cost tradeoffs.
Network structure and heterogeneity matterespecially for rapid spread.
Photo: Carl Bergstrom