際際滷

際際滷Share a Scribd company logo
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
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
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
A vaccine is coming
But it wont be a panaceaif it comes at all.
Photo: Carl Bergstrom
We need something else
Something nimble.
Photo: Carl Bergstrom
This is a talk about testing.
Photo: Carl Bergstrom
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
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
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
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
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.
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.
The aim of proactive (mitigation) testing:
Reducing exposure-days
Latent Infectious
Time
Test
quarantine
Delay d
Infectious period C
Results
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?
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
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.
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)
Compare infectious days with testing to
infectious days without.
Compare infectious days with testing to
infectious days without.
Asymptomatic or dont isolate Self-isolate
Compare infectious days with testing to
infectious days without.
Asymptomatic or dont isolate Self-isolate
Results
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
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
Stochastic disease dynamics
https://github.com/ryansmcgee/seirsplus
Testing, tracing, and isolation
https://github.com/ryansmcgee/seirsplus
Multi-level network structure
https://github.com/ryansmcgee/seirsplus
Individual heterogeneity
https://github.com/ryansmcgee/seirsplus
Test sensitivity
Kucirka et al. 2020 Ann. Int. Med.
https://github.com/ryansmcgee/seirsplus
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
Simulation trajectories
https://www.color.com/covid-19-outbreak-model
Most outbreaks fizzle
https://www.color.com/covid-19-outbreak-model
Testing helps
https://www.color.com/covid-19-outbreak-model
Testing helps a lot
https://www.color.com/covid-19-outbreak-model
Total epidemic size
Outbreak sizes
https://www.color.com/covid-19-outbreak-model
Mean fraction infected Fraction of introductions infecting >5%
Speed is of the essence
https://www.color.com/covid-19-outbreak-model
Mean fraction infected
Fraction >5%
Total epidemic size
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
Test and isolate only
Test, trace, and isolate
Households of positive tests are isolated.
Contacts traced in two days, and isolated along with household.
Comparing with the analytic approximation
Comparing with the analytic approximation
Pooled testing stretches capacity.
Pooled testing stretches capacity.
Pooled testing stretches capacity.
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
http://ctbergstrom.com

More Related Content

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
  • 5. We need something else Something nimble. 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)
  • 18. Compare infectious days with testing to infectious days without.
  • 19. Compare infectious days with testing to infectious days without. Asymptomatic or dont isolate Self-isolate
  • 20. Compare infectious days with testing to infectious days without. Asymptomatic or dont isolate Self-isolate
  • 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
  • 25. Testing, tracing, and isolation https://github.com/ryansmcgee/seirsplus
  • 28. Test sensitivity Kucirka et al. 2020 Ann. Int. Med. 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
  • 33. Testing helps a lot https://www.color.com/covid-19-outbreak-model Total epidemic size
  • 34. Outbreak sizes https://www.color.com/covid-19-outbreak-model Mean fraction infected Fraction of introductions infecting >5%
  • 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
  • 38. Test, trace, and isolate Households of positive tests are isolated. Contacts traced in two days, and isolated along with household.
  • 39. Comparing with the analytic approximation
  • 40. Comparing with the analytic approximation
  • 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