2011
Biomedical Model Fitting and Error Analysis
Costa KD, Kleinstein SH, Hershberg U. Biomedical Model Fitting and Error Analysis. Science Signaling 2011, 4: tr9. PMID: 21954296, PMCID: PMC3272496, DOI: 10.1126/scisignal.2001983.Peer-Reviewed Original ResearchConceptsMathematical modelAppropriate mathematical modelModel parametersError analysisFit parameter valuesLinearization schemeNonlinear modelGoodness of fitNonlinear dataModel fittingBest fitParameter valuesInverse modelingComputational methodsParticular applicationSuch constantsExperimental dataFittingBiomedical systemsProblemFitModelParametersConstantsSeries of measurements
2003
Why are there so few key mutant clones? The influence of stochastic selection and blocking on affinity maturation in the germinal center
Kleinstein SH, Singh JP. Why are there so few key mutant clones? The influence of stochastic selection and blocking on affinity maturation in the germinal center. International Immunology 2003, 15: 871-884. PMID: 12807826, DOI: 10.1093/intimm/dxg085.sgm.Peer-Reviewed Original Research
2001
Toward Quantitative Simulation of Germinal Center Dynamics: Biological and Modeling Insights from Experimental Validation
KLEINSTEIN S, SINGH J. Toward Quantitative Simulation of Germinal Center Dynamics: Biological and Modeling Insights from Experimental Validation. Journal Of Theoretical Biology 2001, 211: 253-275. PMID: 11444956, DOI: 10.1006/jtbi.2001.2344.Peer-Reviewed Original ResearchConceptsCenter dynamicsParticular mathematical modelOrdinary differential equationsGerminal center dynamicsImmune system dynamicsDifferential equationsExperimental dataMathematical modelStochastic frameworkAverage dynamicsSpecific experimental dataDeterministic modelSystem dynamicsModel parametersPossible extensionsGeneral methodologyQuantitative simulationOpreaNew implementationDynamicsModeling insightsPerelsonCenter behaviorEquationsExperimental validation