SlideShare ist ein Scribd-Unternehmen logo
1 von 11
Downloaden Sie, um offline zu lesen
Gabriela Gomes
Instituto Gulbenkian de Ciência, Portugal
Figure 1
A

Colored (intervention) :
dsv (x)
= q(x) µ − xλsv (x),
dt
1
div (x)
= xλsv (x) − µiv (x), λ = β iv (x)dx.
0
dt

1
0.8
0.6
0.4
0.2

∫

0

10

B

Black (no intervention) :
M = 1 − e− pd .
Colored (intervention) :
M =1−

€

1

∫ 0 e−xpd q(x)dx.

2

10
transmission intensity, R

0

1
proportion infected

€

density

λ = βI.

proportion infected

Black (no intervention) :
dS
= µ − λS − µS,
dt
dI
= λS − µI,
dt

0.8
0.6
0.4
0.2
0

5

10
challenge dose, d

10

10

0
0.5
1
susceptibility

Gomes et al 2013 PLOS Pathogens (in review).
data from 90 communities

di(x)
= β [1 − i(x)] − f ( β,r)i(x),
dt
where
β
f ( β,r) = β r
.
e
−1

€

Smith et al 2005 Nature 438: 492.
Gomes et al 2012 Proc R Soc Lond B 279: 2473.
data from 14 communities

Cape
Town
China

Taiwan

Australia
Denmark

Houston
Spain

Lombardy
US & Canada

India
Madras Malawi
Rwanda

Bangladesh
Brazil
Portugal
ILI(t) = p(t)I(t)

€
Gabriela gomes: Mathematical Modeling and Data Needs

Weitere ähnliche Inhalte

Mehr von Flávio Codeço Coelho

Sistema de Alerta de Dengue Utilizando Dados Hbridos de Redes Sociais, Moni...
Sistema de Alerta de Dengue Utilizando Dados Hbridos de Redes Sociais, Moni...Sistema de Alerta de Dengue Utilizando Dados Hbridos de Redes Sociais, Moni...
Sistema de Alerta de Dengue Utilizando Dados Hbridos de Redes Sociais, Moni...Flávio Codeço Coelho
 
Alerta dengue: Sistema de alertas de surtos usando dados híbridos
Alerta dengue: Sistema de alertas de surtos usando dados híbridosAlerta dengue: Sistema de alertas de surtos usando dados híbridos
Alerta dengue: Sistema de alertas de surtos usando dados híbridosFlávio Codeço Coelho
 
Fabricio Silva: Cloud Computing Technologies for Genomic Big Data Analysis
Fabricio  Silva: Cloud Computing Technologies for Genomic Big Data AnalysisFabricio  Silva: Cloud Computing Technologies for Genomic Big Data Analysis
Fabricio Silva: Cloud Computing Technologies for Genomic Big Data AnalysisFlávio Codeço Coelho
 
Gabriel laporta: Biodiversity can help prevent malaria outbreaks in tropical ...
Gabriel laporta: Biodiversity can help prevent malaria outbreaks in tropical ...Gabriel laporta: Biodiversity can help prevent malaria outbreaks in tropical ...
Gabriel laporta: Biodiversity can help prevent malaria outbreaks in tropical ...Flávio Codeço Coelho
 
Mark smolinski big data and public health
Mark smolinski   big data and public healthMark smolinski   big data and public health
Mark smolinski big data and public healthFlávio Codeço Coelho
 
Wim de Grave: Big Data in life sciences
Wim de Grave:  Big Data in life sciencesWim de Grave:  Big Data in life sciences
Wim de Grave: Big Data in life sciencesFlávio Codeço Coelho
 
Marco Andreazzi: IBGE research and data collection on health related issues.
Marco Andreazzi: IBGE research and data collection on health related issues.Marco Andreazzi: IBGE research and data collection on health related issues.
Marco Andreazzi: IBGE research and data collection on health related issues.Flávio Codeço Coelho
 
Access to Information, privacy, and health research in Brazil
Access to Information, privacy, and health research in BrazilAccess to Information, privacy, and health research in Brazil
Access to Information, privacy, and health research in BrazilFlávio Codeço Coelho
 

Mehr von Flávio Codeço Coelho (15)

Big dengue
Big dengueBig dengue
Big dengue
 
dengueARS0
dengueARS0dengueARS0
dengueARS0
 
Alerta dengue expo epi out2014
Alerta dengue expo epi out2014Alerta dengue expo epi out2014
Alerta dengue expo epi out2014
 
Alerta dengue abrasco 2014
Alerta dengue   abrasco 2014Alerta dengue   abrasco 2014
Alerta dengue abrasco 2014
 
Sistema de Alerta de Dengue Utilizando Dados Hbridos de Redes Sociais, Moni...
Sistema de Alerta de Dengue Utilizando Dados Hbridos de Redes Sociais, Moni...Sistema de Alerta de Dengue Utilizando Dados Hbridos de Redes Sociais, Moni...
Sistema de Alerta de Dengue Utilizando Dados Hbridos de Redes Sociais, Moni...
 
Alerta dengue: Sistema de alertas de surtos usando dados híbridos
Alerta dengue: Sistema de alertas de surtos usando dados híbridosAlerta dengue: Sistema de alertas de surtos usando dados híbridos
Alerta dengue: Sistema de alertas de surtos usando dados híbridos
 
Fabricio Silva: Cloud Computing Technologies for Genomic Big Data Analysis
Fabricio  Silva: Cloud Computing Technologies for Genomic Big Data AnalysisFabricio  Silva: Cloud Computing Technologies for Genomic Big Data Analysis
Fabricio Silva: Cloud Computing Technologies for Genomic Big Data Analysis
 
Gabriel laporta: Biodiversity can help prevent malaria outbreaks in tropical ...
Gabriel laporta: Biodiversity can help prevent malaria outbreaks in tropical ...Gabriel laporta: Biodiversity can help prevent malaria outbreaks in tropical ...
Gabriel laporta: Biodiversity can help prevent malaria outbreaks in tropical ...
 
Mark smolinski big data and public health
Mark smolinski   big data and public healthMark smolinski   big data and public health
Mark smolinski big data and public health
 
Wim de Grave: Big Data in life sciences
Wim de Grave:  Big Data in life sciencesWim de Grave:  Big Data in life sciences
Wim de Grave: Big Data in life sciences
 
Marco Andreazzi: IBGE research and data collection on health related issues.
Marco Andreazzi: IBGE research and data collection on health related issues.Marco Andreazzi: IBGE research and data collection on health related issues.
Marco Andreazzi: IBGE research and data collection on health related issues.
 
Access to Information, privacy, and health research in Brazil
Access to Information, privacy, and health research in BrazilAccess to Information, privacy, and health research in Brazil
Access to Information, privacy, and health research in Brazil
 
Mining legal texts with Python
Mining legal texts with PythonMining legal texts with Python
Mining legal texts with Python
 
Causal Bayesian Networks
Causal Bayesian NetworksCausal Bayesian Networks
Causal Bayesian Networks
 
In trodução ao Epigrass
In trodução ao EpigrassIn trodução ao Epigrass
In trodução ao Epigrass
 

Kürzlich hochgeladen

Role Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptxRole Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptxNikitaBankoti2
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhikauryashika82
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxRamakrishna Reddy Bijjam
 
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural ResourcesEnergy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural ResourcesShubhangi Sonawane
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeThiyagu K
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.pptRamjanShidvankar
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfPoh-Sun Goh
 
Seal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptxSeal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptxnegromaestrong
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsMebane Rash
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDThiyagu K
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17Celine George
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibitjbellavia9
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin ClassesCeline George
 
PROCESS RECORDING FORMAT.docx
PROCESS      RECORDING        FORMAT.docxPROCESS      RECORDING        FORMAT.docx
PROCESS RECORDING FORMAT.docxPoojaSen20
 
psychiatric nursing HISTORY COLLECTION .docx
psychiatric  nursing HISTORY  COLLECTION  .docxpsychiatric  nursing HISTORY  COLLECTION  .docx
psychiatric nursing HISTORY COLLECTION .docxPoojaSen20
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...christianmathematics
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxVishalSingh1417
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...Poonam Aher Patil
 

Kürzlich hochgeladen (20)

Role Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptxRole Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptx
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docx
 
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural ResourcesEnergy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and Mode
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdf
 
Seal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptxSeal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptx
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan Fellows
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SD
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
Asian American Pacific Islander Month DDSD 2024.pptx
Asian American Pacific Islander Month DDSD 2024.pptxAsian American Pacific Islander Month DDSD 2024.pptx
Asian American Pacific Islander Month DDSD 2024.pptx
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
 
PROCESS RECORDING FORMAT.docx
PROCESS      RECORDING        FORMAT.docxPROCESS      RECORDING        FORMAT.docx
PROCESS RECORDING FORMAT.docx
 
psychiatric nursing HISTORY COLLECTION .docx
psychiatric  nursing HISTORY  COLLECTION  .docxpsychiatric  nursing HISTORY  COLLECTION  .docx
psychiatric nursing HISTORY COLLECTION .docx
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...
 

Gabriela gomes: Mathematical Modeling and Data Needs

  • 1. Gabriela Gomes Instituto Gulbenkian de Ciência, Portugal
  • 2. Figure 1 A Colored (intervention) : dsv (x) = q(x) µ − xλsv (x), dt 1 div (x) = xλsv (x) − µiv (x), λ = β iv (x)dx. 0 dt 1 0.8 0.6 0.4 0.2 ∫ 0 10 B Black (no intervention) : M = 1 − e− pd . Colored (intervention) : M =1− € 1 ∫ 0 e−xpd q(x)dx. 2 10 transmission intensity, R 0 1 proportion infected € density λ = βI. proportion infected Black (no intervention) : dS = µ − λS − µS, dt dI = λS − µI, dt 0.8 0.6 0.4 0.2 0 5 10 challenge dose, d 10 10 0 0.5 1 susceptibility Gomes et al 2013 PLOS Pathogens (in review).
  • 3. data from 90 communities di(x) = β [1 − i(x)] − f ( β,r)i(x), dt where β f ( β,r) = β r . e −1 € Smith et al 2005 Nature 438: 492.
  • 4.
  • 5. Gomes et al 2012 Proc R Soc Lond B 279: 2473.
  • 6. data from 14 communities Cape Town China Taiwan Australia Denmark Houston Spain Lombardy US & Canada India Madras Malawi Rwanda Bangladesh
  • 8.
  • 9.