final content Flashcards
what is an infectious disease
- cases are dependent on exposure to other cases
- starts with exposure to a pathogen, then infection occurs, then disease MAY occur
infection vs disease
infection: established pathogen within the host
disease: the effects of an infection (clinical signs and symptoms)
latent vs incubation period
latent period: when host becomes infected to when they become infectious to others
incubation period: from when host becomes infected to when symptoms/clinical signs of disease show
what period is long for asymptomatic hosts
incubation period
what is a differential equation
- a function measuring the change in one variable with respect to another
- a system of differential equations is a set where each equation may or may not be dependent on other variables
a 3-state system for stages of a disease model
state 1: suceptible
state 2: infected
state 3: recovered
what does disease transmission depend on
the number/proportion of susceptible individuals AND the number/proportion of infectious individuals
generation time vs serial interval
generation time = time between infections in 1st and 2nd case
serial interval = time between symptoms of the 1st and second case
how to calculate serial interval
serial interval = latent period + (infectious period/2)
reproductive number (R) vs basic reproductive number (R0)
R = the average number of secondary infections caused by an initial infectious individual
R0 = the average number of secondary infections caused by an initial infectious individual in a completely susceptible population
basic reproductive number value interpretations
R0 > 1: epidemic
R0 = 1: endemic
R0 < 1: fadeout
how to calculate R0 for a SIR model
R0 = c x p x d
c = rate of contact
p = probability of transmutation given contact
d = duration of infectiousness
how do you calculate the critical proportion to vaccinate (Pc)
Pc = 1- (1/R0)
- as R0 increases more people must become vaccinated
how do you calculate the effective reproductive number
Re = R) x proportion susceptible
steps in building and analyzing a disease model
- define population and pathogen of interest
- construct a system of equations
- code the model and conduct numerical analysis
- assess the effect that interventions have on model outcomes
what interventions can be used to control disease
- vaccination (full immunity)
- reduce contact
- reduce probability of infection given contact
- reduce period of infectiousness
- increase rate of recovery
why might we use mathematical models for disease control in epidemiology
- ethical concerns for experimental studies
- no disease present for observational studies
- expensive and timely
- to test “what if” scenarios
when would we use an experimental study instead of an observational study
- prophylactic/preventative studies
- therapeutic studies
- management strategies
types of experimental studies
- lab based experiment: researchers create a controllable environment
- Randomized control trial: researcher creates groups in a “real-world” setting, no control over environment
pros and cons of lab-based experiments
pros: provides best control of manipulative conditions, reduces confounding, can be repeated
cons: lacks external validity, is unrealistic
pros and cons of randomized control trials
pros: best form of blinding, answers specific questions
cons: issues with ethics and costs
strongest to weakest strength evidence based research
systematic reviews > meta-analyses > blinded RTCs > cohort studies > case-control studies > case series > single case report
how do we conduct RTCs
take study population, divide into 2 treatment groups, determine who is O+ and O- from both groups