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Modlisa Modlisation en tion en micr microbiolog obiologie ie Lulla Opatowski Pharmaco-Epidemiology and Infectious Diseases unit UMR1181 Institut Pasteur / Inserm / Universit de Versailles St Quentin RICAI Dcembre 2019 Emergence,


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SLIDE 1

Modélisa Modélisation en tion en micr microbiolog

  • biologie

ie

Lulla Opatowski

Pharmaco-Epidemiology and Infectious Diseases unit UMR1181 Institut Pasteur / Inserm / Université de Versailles St Quentin

RICAI – Décembre 2019

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SLIDE 2

Emergence, selection, spread of bacteria – a complex multi-scale process

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Ecology of pathogens: Colonies Interactions, competition and synergy Genetic evolution : Mutations, genes transfer Microorganism Colonization of ecosystems (gut, skin, naso-, oro-pharynx) Infection Immunity Drug exposure (vaccine, antibiotics) Individuals Between-host transmission (heterogeneous) Public health policies Population

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SLIDE 3

Nosocomial outbreaks: a public health challenge

  • Hospitals: frequent outbreaks of different species

– High density of individuals and contacts – High antibiotic exposure => high frequency of antibiotic resistant bacteria (ARB) – At-risk patients, eg. intensive care or post surgery – Specificities

  • Most cases are asymptomatic carriers (low burden)
  • >1 infected patient => critical

– Efficient control may require the set up of heavy procedure

  • Closure of beds, wards etc.
  • Disorganization and important costs
  • Assessment of benefit is complex

3

Controlling this dissemination in these settings requires understanding bacterial spread

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SLIDE 4

Challenge

  • Knowledge gaps : Acquisition, transmission and persistence of bacteria,

and in particular ARB

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Routes of acquisition? Microbiota, within-host pathogens interactions? Impact of antibiotic exposure? Pathogen’s intrinsic epidemicity? Factors of clearance?

  • Analyze human behaviors and microbiological data in an integrative

manner

=> Set up ad-hoc epidemiological studies => development of biostatistics, mathematical modelling tools

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SLIDE 5

Reference model for bacterial transmission

Natural clearance   Susceptible Colonized with a S bacteria Colonized with a R bacteria Emergence (p) Contacts   0 1 1 1

฀ ds dt = 0 − s(cS + cR) + (cS + cR) − 1s dcS dt = +scS − cS − pcS − 1cS dcR dt = +scR − pcR − cR − 1cR        s + cS + cR =1

1 homogeneous population 1 drug, 1 simple mechanism => Useful but poorly representative => more specificity is required

5

Force of infection

  • n day t :

𝜇 𝑢 = 𝛾(𝐷𝑇 + 𝐷𝑆)

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SLIDE 6

FORMALIZING HETEROGENEITY - USE OF CONTACT

NETWORK IN HOSPITAL MODELS

  • Increasing number of models integrating networks
  • Different levels of contact networks: between-hospitals, between-wards transfer

data from hospital database records, and inter-individual proximities from log sensors

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[Assab, Nekkab et al, Current Op Inf Dis 2017]

Ward 1 Ward 2 Ward 5 Ward 8 Ward 7

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SLIDE 7

2 illustrations of modelling studies

  • Spread of bacteria in a hospital populations
  • Impact of host flora in bacterial acquisition

7

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SLIDE 8

STORY 1 - Between human transmission of bacteria over a contact network

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SLIDE 9

Detection of all Close proximity interactions (CPI) every 30sec with a distance less than 1m50

Berck sur Mer Long term care hospital 329 patients 263 hospital staff 5 months 2 740 728 contacts

I-BIRD study : « Individual-based Investigation of Resistance Dissemination » → Prospective longitudinal study →Principal investigator Didier Guillemot →European project MOSAR →June-October 2009

Daily Contact data Staphylococcus aureus Enterobacteriaceae

  • ropharyngeal

rectal Weekly swab

N~6620 N~3500

Antibiotics

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THE I-BIRD STUDY

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SLIDE 10

Frequency of contacts over a day Duration of contacts

[Duval A, et al. Scientific report 2018]

CLOSE PROXIMITY INTERACTIONS

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SLIDE 11

Frequency of contacts over a day Duration of contacts

[Duval A, et al. Scientific report 2018]

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CLOSE PROXIMITY INTERACTIONS

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SLIDE 12
  • 1. Gather network & swabs data:

Assess the role of contact network

  • n transmission

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New acquisition Potential transmitter

Real data

Newly colonized Candidate Uncolonized

New acquisition Randomly pick up transmitter on contact network

Randomly permuted data (null hyp) Comparaison (Wilcoxon test)

[Obadia et al, Plos Comp Biol 2015] [Duval et al, Plos Comp Biol 2019]

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SLIDE 13
  • 1. Assess the role of

contact network on transmission

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ESBL Escherichia coli

p-value = 0.25 35 acquisitions

ESBL K. pneumoniae

p-value = 0.025 20 acquisitions

  • S. aureus

p-value < 0.001

[Obadia et al, Plos Comp Biol 2015] [Duval et al, Plos Comp Biol 2019]

 S. aureus and K. pneumoniae transmission supported by the proximity network  Not clear for E. coli, probably other important sources

Shorter distance found in observed data compare to permutated data

Distance to the nearest potential transmitter

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SLIDE 14
  • 2. Estimating S. aureus strain’s epidemicity over

the network

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Likelihood-based parameter estimation MCMC Contact data, swabs, antibiotics … Transmission rate per contact.day for the different strains

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SLIDE 15

Step 1: Identify potential transmitters and acquirers

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P0 P0

  • Transmitters P0: colonized individuals having recorded contacts
  • Potential acquirers: individuals at risk of acquisition
  • Recorded contacts with P0 over [t0, tn]
  • A negative swab over the period or before

P0 P0 tn : last positive swab (strain s) t0 : first positive swab (strain s)

Negative swab Positive swab Recorded proximity

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SLIDE 16

Step 2: Transmission model for strain s

For any non-colonized individual i, we define the force of acquisition on day t :

𝜇𝑗 𝑢, 𝑡 = ෍

𝑘≠𝑗, 𝑡𝑘 𝑢,𝑡 =1 𝑗∈𝐷𝑘(𝑢,𝑡)

𝛾(𝑦

𝑘, 𝑦𝑗, 𝑢)

– xi, xj, denote for individuals i and j, the vectors of individual variables eg. status [HCW versus patient] – 𝛾(𝑦𝑘, 𝑦𝑗, 𝑢), the probability of transmission of strain s from individual j to individual i on a given day of contact t – Case transmission network of j

𝐷

𝑘 𝑢, 𝑡 = ቊ 𝑗, 𝑗, 𝑘 ∈ 𝐹 𝑢 , 𝑡𝑗 𝑢, 𝑡 = 0 if 𝑢 ∈ [𝑢1, 𝑢𝑜]

∅ otherwise

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SLIDE 17
  • 2. Estimating S. aureus strain’s epidemicity over

the network

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=> significantly higher epidemicity for MRSA t777 => More generally, higher epidemicity for MRSA

MRSA MSSA

[Opatowski et al, in prep]

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SLIDE 18

BACK TO MICROBIOLOGY

→Some species spread over interindividual networks but lack of evidence for

  • ther (ESBL E. coli)

→In MRSA: different epidemicities according to spatype and resistance to methicillin

  • Strains’ characteristics conferring:

– differences in modes of transmission? – differences de transmissibility between MRSA and MSSA for t777 ?

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SLIDE 19

STORY 2 - Modelling within-host flora and microbial colonisation

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SLIDE 20

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1) AT THE HOST LEVEL - MODELLING BETWEEN-

BACTERIA INTERACTIONS

Dynamics of relative abundance of different species/groups in the microbial community

N: the number of different species 𝑦𝑗(𝑢): the abundance of species i at time t 𝑠𝑗: growth rate of species i (can be negative when receiving antibiotic or under immune response) 𝑏𝑘𝑗: interaction strength between species j and i (positive or negative) K: carrying capacity of the entire community

[Xuefeng Gao et al, Frontiers in Microbiology 2018]

Ι

When longitudinal microbiota data is available …

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SLIDE 21

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1) AT THE HOST LEVEL - MODELLING BETWEEN-

BACTERIA INTERACTIONS

[Xuefeng Gao et al, Frontiers in Microbiology 2018]

When longitudinal microbiota data is available …

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SLIDE 22

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1) AT THE HOST LEVEL - MODELLING BETWEEN-

BACTERIA INTERACTIONS

Dynamics of relative abundance of different groups in the microbial community

[Xuefeng Gao et al, Frontiers in Microbiology 2018]

Ι

Antibiotics Symptoms Feeding Colonization with ESBL

(…)

When longitudinal microbiota data is available…

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SLIDE 23

AT THE POPULATION LEVEL

Natural clearance   Susceptible Colonized with a S bacteria Colonized with a R bacteria Emergence (p) Contacts   0 1 1 1

฀ ds dt = 0 − s(cS + cR) + (cS + cR) − 1s dcS dt = +scS − cS − pcS − 1cS dcR dt = +scR − pcR − cR − 1cR        s + cS + cR =1

1 homogeneous population 1 species 1 drug

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Force of infection

  • n day t :

𝜇 𝑢 = 𝛾(𝐷𝑇 + 𝐷𝑆)

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SLIDE 24

A SIMPLE MODEL

FOR MICROBIOME- PATHOGEN CO- COLONIZATION

  • Compartmental ODE

model

  • Patient population in

healthcare setting

  • Antibiotic use (qa)
  • Proportion of

patients receiving antibiotics

  • Antibiotic resistance

(qr)

  • Proportion of

antibiotics against which pathogen resistant Hospital

High-D flora (H) Low-D flora (L)

Pathogen (P) No pathogen

1 1 2 2 3 4 3 4

1. Flora disruption (𝜏) 2. Flora recovery (𝜀) 3. Pathogen acquisition (𝛾+𝛽) 4. Pathogen clearance (𝛿+𝜏)

[Smith et al, in prep]

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SLIDE 25

Reduced pathogen force of infection (𝜇)

  • Eg. Bifidobacteria

bacteriocins inhibit C. difficile and E. coli colonization

Affected pathogen clearance rate (𝛿)

  • Eg. Bacterioides bacteriocins reduce colonization

duration in E. faecalis, Listeria spp.; Bacterioides metabolites enhance colonization duration in E. coli

Kamada et al. Nat Rev Immunol 2013 Pacheco et al. Nature 2012

Enhanced endogenous acquisition rate (𝛽)

  • Eg. C. scindens bile

acids prevent

  • utgrowth of

subdominant C. difficile colonies

Buffie & Pamer Nat Rev Immunol 2014 Buffie et al. Nature 2014

5.Horizontal gene transfer (HGT)

HGT especially important among Gram-negative pathogens (ESBL- Enterobacteria)

Rarely considered in models

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SLIDE 26

SIMULATIONS OF THE EFFICACY OF ANTIBIOTIC STEWARDSHIP INTERVENTIONS

  • S. aureus
  • C. difficile
  • E. coli

K. pneumoniae

Community prevalence (fP) Medium Low High Medium Transmission rate (𝛾) High Medium Low High Endogenous acquisition rate (𝛽) Low Low High Medium Clearance rate (𝛿) Medium Medium Low Medium Barrier protection (𝜁) Low High Medium Medium Niche competition (𝜃) Medium None High None Ecological release (𝜚) None High Medium Low HGT rate (𝜓) None None Medium High Resistance proportion (qr) Medium Low Medium High

Narrow spectrum Broad spectrum

Proportion of all antibiotics used (qn) High Low Pathogen clearance rate (𝜏P) Medium Medium Flora disruption rate (𝜏F) Low High

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SLIDE 27

INTERVENTION 1: REDUCE PRESCRIPTIONS BY 30%

  • C. difficile
  • S. aureus
  • E. coli
  • K. pneumoniae

−20 −10 10

Change in colonization incidence (%)

  • Highly effective for C. difficile or
  • S. aureus
  • More heterogeneous effect in

Gram-negatives

INTERVENTION 2: RESTRICT BROAD-SPECTRUM ANTIBIOTICS BY 30%

  • C. difficile
  • S. aureus
  • E. coli
  • K. pneumoniae

−20 −10 10

Change in colonization incidence (%)

  • Positive impact when hight

ecological release (C. difficile) and/or HGT (Gram- negatives)

  • In S. aureus, more

(ineffective) narrow spectrum antibiotics leads to more selection for resistant pathogen

Preliminary, requires expert elicitation…

[Smith et al, in prep]

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SLIDE 28

→Model analysis can help understand better the impact of complex mechanisms at stake and assess the global effect of these mechanisms at the population level →Pathogen’s interaction with flora may affect transmission routes and impact of antibiotics on resistance selection at the population level →Antibiotic stewardship interventions may be able to more effectively target specific pathogens when taking flora into account

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CONCLUSIONS

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SLIDE 29

GENERAL CONCLUSIONS

  • By combining original ag hoc data collection and mathematical

models, it is possible to provide novel understanding of the mechanisms at stake

– Analyse data by considering dynamic and mechanistic aspects, estimate parameters – We showed E. coli does not spread over contacts network and that different S. aureus does, but clones have different epidemicities

  • The analysis of theoretical models can also help understand the

processes and optimize control measures => direct applications in terms of public health

  • Phenotypic properties

– biological origin ? => look for associations with genes / biological functions

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SLIDE 30

Modelling can help better understanding microbial ecology and epidemiology

  • Interaction cycle between modellers, epidemiologists and

microbiologists

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Question biologique Design experimentation épidémiologique / microbiologique Analyse par des modèles dynamiques Interprétation biologique

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SLIDE 31

Collaborators

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  • Audrey Duval (UVSQ)
  • David Smith (UVSQ)
  • Didier Guillemot (AP-HP / UVSQ / Inserm/

Institut Pasteur)

  • Laura Témime (Cnam)
  • Philippe Glaser (Institut Pasteur)
  • Thomas Obadia (Institut Pasteur)
  • Pierre-Yves Boëlle (AP-HP / INSERM)
  • Didier Guillemot
  • Jean-Louis Herrmann (AP-HP)
  • Eric Fleury (ENS INRIA)

Thank you!

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SLIDE 32

Antibiotics vary in how they disrupt pathogens and commensal flora

With increasing pathogen clearance:

  • Reduced pathogen prevalence
  • Increased proportion of

pathogens resistant With increasing flora disruption:

  • Increased pathogen prevalence

(hosts more susceptible)

  • Increased resistance

Intermediate antibiotic resistance (qr) Intermediate interaction strength (𝜁 + 𝜃 + 𝜚 + 𝜓)

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SLIDE 33

0.2 0.4 0.6 0.8 2 4

0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 0.0 0.1 0.2 0.0 0.1 0.2

Proportion of patients on antibiotics (qa) Daily colonization incidence of resistant pathogen (PR)

Acquisition route

Endogenous HGT Transmission

Overall similar incidence despite very different interaction strengths But large shift in acquisition routes High interaction strength may help explain patterns observed in ESBL E. coli:

  • High incidence of hospital

acquisition despite low evidence of cross- transmission

  • Relative inefficacy of some

interventions such as hygiene

Low-strength interactions High-strength interactions Pathogen resistant to greater share of antibiotics (qr)

ARB pathogen INCIDENCE AND ACQUISITION ROUTES

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SLIDE 34

INTERVENTION 1: REDUCE PRESCRIPTIONS BY 30%

  • C. difficile
  • S. aureus
  • E. coli
  • K. pneumoniae

−20 −10 10

Change in colonization incidence (%)

Endogenous Transmission HGT Total

−30 −20 −10 10 −30 −20 −10 10 −30 −20 −10 10 −30 −20 −10 10

  • C. difficile
  • S. aureus
  • E. coli
  • K. pneumoniae

Change in colonization incidence (%)

  • Different transmission routes => may observe opposite changes
  • Highly effective for C. difficile or
  • S. aureus
  • More heterogeneous effect in

Gram-negatives

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SLIDE 35
  • C. difficile
  • S. aureus
  • E. coli
  • K. pneumoniae

−20 −10 10

Change in colonization incidence (%)

  • Positive impact when hight

ecological release (C. difficile) and/or HGT (Gram-negatives)

  • In S. aureus, more

(ineffective) narrow spectrum antibiotics leads to more selection for resistant pathogen

Endogenous Transmission HGT Total

−30 −20 −10 10 −30 −20 −10 10 −30 −20 −10 10 −30 −20 −10 10

  • C. difficile
  • S. aureus
  • E. coli
  • K. pneumoniae

Change in colonization incidence (%)

INTERVENTION 2: RESTRICT BROAD-SPECTRUM ANTIBIOTICS BY 30%

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SLIDE 36

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Motivation for modelling

wikipedia

  • Disease transmission is a dynamic and

mechanistic process

  • Collected data is partial

Need to take into account unobserved phenomenon => Consider the problem as whole

  • Experiments: carrying out studies in

populations

  • Expensive
  • Sometimes not feasible (ethics)

=> in silico experiments

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SLIDE 37

Antibiotics impact on flora and pathogens

Antibiotics affect distinct bacteria at different rates – Rate of antibiotic-induced pathogen clearance (𝜏P) – Rate of antibiotic-induced flora disruption (𝜏F) Example: – Narrow-spectrum antibiotics

  • Low impact on flora (low 𝜏F)
  • But pathogens largely resistant (high qr)

– Broad-spectrum antibiotics

  • Large impact on flora (high 𝜏F)
  • Pathogens less resistant (low qr)
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SLIDE 38

Modelling can help

  • Better understand phenomenon at stake

1. Analyze data taking into account the mechanistic and dynamic aspects - using statistical inference – Assess transmission routes, at risk behaviors, natural history of disease, pathogens interactions 2. Analyze model behaviour – Assess role of parameters or mechanisms

  • Anticipate the impact of interventions, optimization

– Eg. Antibiotic stewardship or cohorting in hospitals – Support for decision making in Public health

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