2006
Distribution of Runs and Longest Runs
Kong Y. Distribution of Runs and Longest Runs. Journal Of The American Statistical Association 2006, 101: 1253-1263. DOI: 10.1198/016214505000001401.Peer-Reviewed Original ResearchRun statisticsExplicit formulaParticular generating functionsGeneral explicit formulaSimple explicit formulaStatistical mechanicsGeneral methodDistribution of runsExample of applicationGenerating functionNew distributionPartition functionBiological sequence analysisExact distributionLattice modelUnified wayCombinatorial methodsComputational biologySimple formulaBinomial identitiesUse formulasStatisticsFormulaSystematic methodObject systems
1999
Ligand binding on ladder lattices
Kong Y. Ligand binding on ladder lattices. Biophysical Chemistry 1999, 81: 7-21. PMID: 17030328, DOI: 10.1016/s0301-4622(99)00078-2.Peer-Reviewed Original ResearchPartition functionLinear ladderTwo-dimensional laddersCases explicit formulasClosed-form formulaClosed-form expressionsTransfer matrix methodLadder latticeOne-dimensional modelExplicit formulaAnalytical solutionTwo-dimensional modelRecurrence relationsMatrix methodNumerical resultsGeneral situationGeneral relationGeneral methodEnd slopeTest casesExperimental dataFormulaModelLongitudinal direction
1997
Calculation of the reaction field due to off-center point multipoles
Kong Y, Ponder J. Calculation of the reaction field due to off-center point multipoles. The Journal Of Chemical Physics 1997, 107: 481-492. DOI: 10.1063/1.474409.Peer-Reviewed Original ResearchPoint multipolesOriginal theoryArbitrary charge distributionHigher derivativesMultipole methodExplicit formulaCartesian derivativesStraightforward extensionReaction field energiesCalculation timeField energyField effectsGeneral methodComputationEnergy functionPotential energy functionInduced dipole momentReaction field effectsSpherical cavityMultipolesEnergy termsReaction fieldMultipole interactionsHeterogeneous systemsCalculations