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What is Science? Clinic on Dynamical Approaches to Infec8ous Disease Data December 15, 2014 Steve Bellan, MPH, PhD Postdoctoral Fellow, University of Texas at Aus8n Data Models and

What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

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Page 1: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

What%is%Science?%

%Clinic%on%Dynamical%Approaches%to%Infec8ous%Disease%Data%

December%15,%2014%

Steve%Bellan,%MPH,%PhD%

Postdoctoral%Fellow,%University%of%Texas%at%Aus8n%

Data%Models% and%

Page 2: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Telling%Science%as%a%

Story%

•  Are%stories%objec8ve? %%% % %%

•  The%importance%of%a%narra8ve%

•  %Communica8on%

•  But%what%is%Science?%%

…and%that’s%how%we%

discovered%DNA%was%

a%double%helix,%

Jimmy.% Tell%me%

another%one%

Mom!%

Page 3: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

What%is%Science?%

•  The%Process%

%

•  The%Body%of%Knowledge%%

Page 4: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Science%as%a%Process%

1.  the%systema8c%observa8on%of%natural%events%and%

condi8ons%in%order%to%discover%facts%about%them%and%

to%formulate%laws%and%principles%based%on%these%facts.%

–%Academic(Press(Dic-onary(of(Science(&(Technology(

!2.  Science%alone%of%all%the%subjects%contains%within%itself%

the%lesson%of%the%danger%of%belief%in%the%infallibility%of%

the%greatest%teachers%in%the%preceeding%genera8on…%I%

can%also%define%science%another%way:%Science%is%the%

belief%in%the%ignorance%of%experts.%–%Feynman!

Page 5: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Philosophy%of%Science%

•  Karl%Popper%% %Empirical%Falsifica8on%

•  Thomas%Kuhn%

% %Subjec8vity%

% %Normal%Science%

% %Scien8fic%Crises%

% %Paradigm%ShiYs%%

Page 6: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Theory%and%Observa8on%

•  Theory%%Explana8ons%

%Guesses%

%Ideas%

•  Observa8on%%Anecdotes%

%Expert%opinion%

%Systema8c%qualita8ve%data%

%Systema8c%quan8ta8ve%data%

Data%

Models%

Page 7: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Theory%vs%Models%

•  Theory%=%set%of%statements%that%provides%an%

explana8on%of%phenomena%

– Logically%complete%&%falsifiable%

•  Model%=%abstract%representa8on%of%

phenomena%%

•  Hypothesis%=%testable%statement%derived%from%

a%theory%%

(%

Slide%Credit:%Susan%Simm,%University%of%California%at%Irvine%

Page 8: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Types%of%Models%

•  Physical%

%

%

%%

•  Conceptual%

•  Mathema8cal%%

S% I% R%βI% γ%

Page 9: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Models%

•  When%you%create%a%model%you%are%

%

% %proposing%what%you%think%could%be%

%

% %the%most%important%things%

%

% %to%explain%an%observed%phenomenon%

Page 10: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

U8lity%of%Models%

•  All%models%are%wrong%but%some%are%useful.%%

% % % % % % % % % %George%Box%

%

•  Goal%of%models%is%to%predict%and%to%explain%

(

Page 11: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Science%as%a%Story%

•  Are%stories%objec8ve? %%% % %%

•  The%importance%of%a%narra8ve%

•  %Communica8on%

•  Story%of%the%process%or%the%%% % % % %%body%of%knowledge?%

%

…and%that’s%how%we%

discovered%DNA%was%

a%double%helix,%

Jimmy.% Tell%me%

another%one%

Mom!%

Page 12: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Homo(sapiens%

Theory%of%MosquitodBorne%Transmission%

Aedes(aegyp-(

Anopheles(gambiae(

Plasmodium(falciparum(

Page 13: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Germ%Theory%

•  Louis%Pasteur%

•  Robert%Koch%

%Koch’s%postulates%in%

The(Genesis(of(Germs(Gilken%(2007)((

Page 14: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Miasma8c%Theory%of%Disease%

The%Black%Death%as%Miasma%

Florence%Nigh8ngale%

Advocates%

William%Farr%

1851%London%%

cholera%outbreak%

model%Disease%=%poisoning%by%foul%emana8ons%from%soil,%air,%water%

Page 15: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Ronald%Ross%&%Malaria%

Ross’%1897%drawings%of%Plasmodium(oocysts%%

AYer%2%years%of%feeding%various%

insects%on%malarious%pa8ents%

Ross%tried%an%Anopheles%sp.%and%found%the%infec8ous%life%state%

microscopically.%

models%and%data%

Page 16: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Letter from Walter Reed to George Miller Sternberg July 24, 1900

“Personally, I feel that only can experimentation on human beings serve to clear the field for further effective work -- with one or two points cleared up, we could then work to so much better advantage.”

%

Credit%Am%Trop%Med%Hyg%

Walter%Reed%&%Yellow%Fever%

models%and%data%

yellow%fever%virus%

experimental%infec8ons%

Page 17: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

•  %So%mosquitoes%transmit%disease…%

•  But%what%aspects%of%mosquito%biology%are%

most%important%in%determining%disease%

burden?%

% % %Popula8on%density?%

% % %Mosquito%lifespan?%

% % %Bite%rate?%

% % %Mosquito%movement?%

% % %Reproduc8on?%

%Can%these%inform%effec8ve%interven8ons?%

Theory%of%MosquitodBorne%Transmission%

Page 18: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Ross’%A(Priori(Pathometry%

“what%percentage%of%diminu8on%in%mosquitod

borne%disease%may%be%expected%to%follow%a%given%

percentage%reduc8on%in%the%number%of%

mosquitoes?”%

Ross%R%(1902)%Mosquito%brigades%and%how%to%organize%them.%London:%Longmans,%Green.%

Anopheles(quadrimaculatus%larvae(

Page 19: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

S8mula8on%of%Empirical%Research:%

Quan8fying%transmission%

•  %Parasite%Rate%%

%

•  %“Happenings”%and%the%force%of%infec8on%

0 10 20 30 40 50

020

6010

0

mosquito to human ratio

para

site

rate

Page 20: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Ross%Model%of%Malaria%Transmission%

•  causal%rela8onship%between%the%ra8o%of%mosquitoes%to%humans%&%#%infected%humans%

%

•  %unnecessary%to%kill%every%mosquito%to%end%

transmission%

%

Page 21: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

•  George%MacDonald,%DDT%&%%

Global%Malaria%Eradica8on%Program%(1955d1969)%

•  Mosquito%Survival%

%

Transmission%depends%

on%their%ability%to%survive%

extrinsic%incuba8on%period%

&%life%expectancy%thereaYer%

Mosquito%Longevity%

0.80 0.90 1.00

040

80

daily survival prob

# in

f. bi

ting

days pEIP%/%dln(p)%

Page 22: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

•  George%MacDonald,%DDT%&%%

Global%Malaria%Eradica8on%Program%(1955d1969)%

•  Mosquito%Survival%

%

Transmission%depends%

on%their%ability%to%survive%

extrinsic%incuba8on%period%

&%life%expectancy%thereaYer%

Mosquito%Longevity%

Page 23: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

What%was%the%point%of%this%story?%

•  Successive%discoveries%by%tes8ng%ideas%(models)%against%observa8ons%(data)%

%

•  Models%drive%empirical%developments%and%vice%

versa%

•  Complicated%rela8onships%required%

mathema8za8on%of%models%

Page 24: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

•  Account%for%bias%and%random%error%to%find%

correla8ons%that%may%imply%

causality.%

•  OYen%the%first%step%to%assessing%rela8onships.%

•  Systems%Approach:%

Explicitly%model%mul8ple%

mechanisms%to%understand%

their%interac8ons.%

•  Explicitly%focuses%on%dependence%of%individuals%

•  Assume%independence%of%

individuals%(at%some%

scale).%

•  Links%observed%rela8onships%at%different%

scales.%

Sta8s8cal%Models %% Dynamical%Models%

Page 25: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Statistical Models Dynamic Models

•  Is%HIV%status%posi8vely%associated%with%the%risk%of%

TB%infec8on?%

Ques8ons%in%Epidemiology%

•  Based%on%increased%TB%risk%due%to%HIV,%how%

much%should%we%expect%

TB%no8fica8on%rate%to%

increase%for%a%given%HIV%

prevalence?%

Page 26: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

Statistical Models Dynamic Models

•  Are%Insec8cide%Treated%Bednets%(ITNs)%or%Indoor%

Residual%Spraying%(IRS)%

more%effec8ve%for%

controlling%malaria?%

Ques8ons%in%Epidemiology%

•  How%do%we%expect%the%ageddistribu8on%of%

malaria%incidence%to%

change%aYer%

implemen8ng%ITNs%or%

IRS?%

Page 27: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

What%is%Science?%Data%and%Models%

•  Science%is%a%systema8c%process%by%which%we%

construct%narra8ves%(theories)%about%the%world%

•  Models%are%abstract%representa8ons%of%the%

world,%created%within%this%narra8ve%framework%

•  Data%and%observa8ons%allow%us%to%falsify%or%assign%probabili8es%to%par8cular%models%and%narrow%

down%our%understanding.%

%

Page 28: What%is%Science?%daidd2014.ici3d.org/Lectures/Bellan_ModelsAndData.pdf · Letter from Walter Reed to George Miller Sternberg July 24, 1900 “Personally, I feel that only can experimentation

The%End%