BIOL 0380 Epidemiology Study Guide PDF
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This document provides a foundational understanding of epidemiology and the mathematical models used to analyze the spread of infectious diseases. It covers key concepts such as epidemic and endemic diseases, transmission dynamics, and the basic reproductive number (R0).
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#separator:tab #html:true #tags column:3 The study of epidemics using statistics and probability to stuudy disease is known as {{c1::epidemiology}} The father of epidemiology was {{c1::John snow}} due to contact tracing a water pump during a cholera outbreak. Due to cases being clustere...
#separator:tab #html:true #tags column:3 The study of epidemics using statistics and probability to stuudy disease is known as {{c1::epidemiology}} The father of epidemiology was {{c1::John snow}} due to contact tracing a water pump during a cholera outbreak. Due to cases being clustered around a street pump {{c1::Epidemic}} is the sudden, short-term outbreak in humans to a specific location or population over a short time. {{c1::Endemic}} is a longterm, consistent presence at a baseline level wtihin a specific region "{{c1::Crowd diseases}} spreads rapidly and is sustained in large populations, typically in dense communities. Smallpox, measles" {{c1::Critical community size}} is the minimum population size needed for a disease to sustain itself in a community without dying out. Endemic diseases, unlike crowd diseases, often have other mechanisms {{c1::(e.g., environmental factors, animal reservoirs)}} to maintain their presence beyond CCS. 3 clinical forms of the plague: {{c1::Bubonic}}: inflammed lymphnodes transmitted by fleas Mortality 30-90%Death occurs within 10 days {{c1::Pneumonic}}: lung infection Human-human via spread of droplets Mortality of 90-100% {{c1::Septicemic}}: flea-human transmission within blood {{c1::Zoonotic}}: animal to human disease {{c1::Sylvatic cycle}}: the transmission cycle of a pathogen that primarily circulates in wild animal populations without immediate human involvement. {{c1::Enzootic}}: a longterm consistent presence of a disease within an animal population in a specific region. {{c1::Epizootic}}: a disease outbreak that briefly affects animal population in a short period of time. SIR model answers the question: {{c1::will an epidemic occur }}Compartment model via measuring rate of individuals moving across compartments {{c1::ß}}: the transmission rate or rate of an infected person getting someone sick. {{c1::v}}: clearance rate or rate of recovery/death SIR model assumptions Population size is {{c1::constant}}, N = S(t) + I(t) + R(t) No births/deaths Well mixed populations: everyone has an equal chnace of coming into contact with one another {{c2::Mass action}}: rate of change of new infections, ß, is proportional to S x I, well mixing Everyone starts susceptible except for one infected Once removed cannot come backRates are uniform "Susceptible population equation. Susceptible population, S(t) decreases over time as people become infected. \[{{c1::\frac{dS(t)}{dt} = -ß*\frac{I(t)*S(t)}{N}}}\]{{c1::-ß}} transmission rate {{c1::I(t)*S(t)}} --> mass action principle where # new infections proportional with encounters between susceptible and infected people. " Formula for infected population \({{c1::\frac{dI(t)}{dt}=ß *\frac{I(t)*S(t)}{N} *-v*I(t)}}\){{c1::-v*I(t)}} --> rate of infected recovering Recovered population equation: \({{c1::\frac{dR(t)}{dt}=v*I(t)}}\)Mass action not present due to population being seperate - recovery rate Basic reproductive number, R0. {{c1::R0 > 1:}} more infected than recovered (epidemic){{c1::R0 <1:}} more recovered than infected Effective reproductive number, Re accounts for changes in the {{c1::susceptible population over time}} \(Re = R0 *\frac{S(t)}{N}\){{c2::Re > 1}}: each infected person causes more than one new infection, leading to exponential growth in the number of cases and an epidemic spread.{{c2::Re < 1:}} Epidemic decline, where each infected person, on average, transmits the disease to less than one other person Slowing epidemic spread: {{c1::Increasing v:}} reducing duration of infection via antibiotics and vaccine {{c1::Reducing ß}}: public health measures such as masking/quarantine Breaking SIR model assumptions: N = constant. {{c1::Reasonable assumption }}Everyone starts susceptible except for infected {{c1::Herd immunity}} Rates are uniform between individuals {{c1::superspreaders}} Mass action{{c1::social distancing/quarintine decreases freq}} Once removed cannot get sick {{c1::More compartments}} Herd immunity threshold: used to calculate fraction of population that needs to be innoculated\({{c1::\frac{R(t)}{N}>1-\frac{1}{R0}}}\) v can act as the inverse of infection time \({{c1::v= \frac{1}{infect.time}}}\) At the beginning of an epidemic (time t=0), the entire population is typically susceptible to the disease because no one has been infected yet. This means that\({{c1::S(0)=N}}\) "Formual to estimate basic reproductive number post-epidemic: \(R0=\frac{ln(\frac{S(∞)}{N}) }{[\frac{S(∞)}{N}-1]}\)\({{c1::\frac{S(∞)}{N}}}\): explains the fraction of the population that remains susceptible at the end of the epidemic." SIR is a good model for the {{c1::initial}} exponential rise in cases {{c1::Cordon sanitaries}} is the restriction of movement of people into or out of a defined geographic area to control disease spread. {{c1::non-pharmaceutical intervention (NPI)}} can flatten the curve. Effects of social distancing for 1918 fluSt. louis (approp) vs Philly (inapp) Early covid mortality in china decreased due to availability of resources {{c1::Stochastic}} models presents data and predicts outcomes that account for certain levels of unpredictability or randomness. {{c1::Backward}} tracing looks for source of infection by identifying who infected the patientPro: useful for identifying superspreaders Con: harder to keep up with transmission chains {{c1::Forward tracing}} identifies ppl who were in contact with an infected personPro: effective for stopping future transmissions Con: may miss superspreading events Contact tracing decreases {{c1::transmission rates, ß,}} due to decrasing number of infected people Novel strategies for contact tracing:{{c1::Wastewater}}50% of asymptomatic/symptomatic patients shed virus in feces Correlates will with number of cases and helps identify novel variants. {{c1::Genetic epidemiology}}Everyone with the same strain - hot spot two ppl with different strains - didnt infect eachother Supplement contact tracing