2011
Generalized Markov models of infectious disease spread: A novel framework for developing dynamic health policies
Yaesoubi R, Cohen T. Generalized Markov models of infectious disease spread: A novel framework for developing dynamic health policies. European Journal Of Operational Research 2011, 215: 679-687. PMID: 21966083, PMCID: PMC3182455, DOI: 10.1016/j.ejor.2011.07.016.Peer-Reviewed Original ResearchMathematical modelDynamic optimization techniquesGeneralized Markov modelClass of modelsState space sizeMarkov chain modelInfectious disease spreadOptimization techniquesDiscrete-time Markov chain modelComputation timeHost transmission dynamicsChain modelInfectious diseasesSpace sizeHost natural historyMarkov modelHealth policyPrevious modelsPublic health interventionsTransmission dynamicsClassModelReal-time selectionDisease spreadHealth interventions
2010
The Impact of Realistic Age Structure in Simple Models of Tuberculosis Transmission
Brooks-Pollock E, Cohen T, Murray M. The Impact of Realistic Age Structure in Simple Models of Tuberculosis Transmission. PLOS ONE 2010, 5: e8479. PMID: 20062531, PMCID: PMC2797602, DOI: 10.1371/journal.pone.0008479.Peer-Reviewed Original ResearchConceptsSimple modelReproductive ratioRealistic age structureSteady-state dynamicsBasic reproductive ratioMathematical descriptionMathematical modelParameter estimationRepresentative of modelsAnalytic argumentsInterpretation of modelsTuberculosis transmissionModelling assumptionsTB modelControl interventionsTB natural historyChronic infectious diseaseDisease dynamicsPublic health interventionsRealistic distributionExponential lifetimesAsymptomatic latent infectionIndividual-based modelPrevalence of infectionActive disease
2008
Mathematical Modeling of Tuberculosis Transmission Dynamics
Cohen T, Colijn C, Murray M. Mathematical Modeling of Tuberculosis Transmission Dynamics. 2008, 227-243. DOI: 10.1002/9783527611614.ch44.Peer-Reviewed Original ResearchMathematical modelBehavior of epidemicsSimple mathematical modelEpidemic modelMathematical modelingTuberculosis transmission dynamicsTuberculosis dynamicsDynamic modelNatural courseTB epidemicDynamicsNatural historyInfectious diseasesTransmission dynamicsMycobacterium tuberculosisDiseaseModelQuantitative insightsKey parametersInterventionEpidemicImportant toolComplicating factorsPotential effectsModeling
2007
Emergent heterogeneity in declining tuberculosis epidemics
Colijn C, Cohen T, Murray M. Emergent heterogeneity in declining tuberculosis epidemics. Journal Of Theoretical Biology 2007, 247: 765-774. PMID: 17540410, PMCID: PMC2652758, DOI: 10.1016/j.jtbi.2007.04.015.Peer-Reviewed Original Research