2023
Nearest Neighbors of Multivariate Runs
Kong Y. Nearest Neighbors of Multivariate Runs. 2023, 1-25. DOI: 10.1007/978-1-4614-8414-1_63-1.Peer-Reviewed Original Research
2006
Packing dimers on (2p+1)×(2q+1) lattices
Kong Y. Packing dimers on (2p+1)×(2q+1) lattices. Physical Review E 2006, 73: 016106. PMID: 16486215, DOI: 10.1103/physreve.73.016106.Peer-Reviewed Original ResearchSquare latticeNumber-theoretical propertiesLogarithmic termsMonomer-dimer problemFinite-size correctionsStatistical physics modelsNumber theoryExact solutionLattice stripsN latticePhysics modelsSize correctionsWidth NConfiguration numberLatticeComputational methodsFree energySingle vacancyUnexplored connectionsDistinct behaviorsTheoryTermsProblemSolutionEnergy
1999
General recurrence theory of ligand binding on a three-dimensional lattice
Kong Y. General recurrence theory of ligand binding on a three-dimensional lattice. The Journal Of Chemical Physics 1999, 111: 4790-4799. DOI: 10.1063/1.479242.Peer-Reviewed Original ResearchTransfer matrix MLinear latticeMatrix MCircular latticePartition functionRecurrence relationsThree-dimensional lattice modelThree-dimensional latticeStatistical mechanicsLinear systemsSecular equationRecurrence theoryTransfer matrixLattice modelGeneral theorySimple geometryPeriodical boundary conditionsBoundary conditionsMatrix sizeEigenvaluesLatticeSimple structureUnique binding configurationsTwo-dimensional layersTheory
1996
Theory of multivalent binding in one and two-dimensional lattices
Di Cera E, Kong Y. Theory of multivalent binding in one and two-dimensional lattices. Biophysical Chemistry 1996, 61: 107-124. PMID: 17023370, DOI: 10.1016/s0301-4622(96)02178-3.Peer-Reviewed Original ResearchTwo-dimensional torusPartition functionLinear latticeOne-dimensional linear latticeExact analytical solutionTwo-dimensional latticeCases of interestGeometry of interactionLimit NRecursion relationsAnalytical solutionCombinatorial argumentsDimensional embeddingSpecial caseAnalytical expressionsSimple transformationTorusLatticeLength nExperimental measurementsGeometryTheorySite-specific propertiesGeneral conditionN sites