2024
Recurrence solution of monomer-polymer models on two-dimensional rectangular lattices
Kong Y. Recurrence solution of monomer-polymer models on two-dimensional rectangular lattices. Physical Review E 2024, 110: 054135. DOI: 10.1103/physreve.110.054135.Peer-Reviewed Original ResearchTwo-dimensional rectangular latticeRecurrence relationsRectangular latticeMonomer-dimer problemPlanar latticesRecurrent solutionsLong standing problemLattice sitesAdjacent lattice sitesLatticeProblemComputational complexitySolutionRelationsEnumerationPolymer coverUnoccupied lattice sitesRigid polymersMonomer-polymerSolution of long-standing problemsPolymerPolymer length
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 layersTheoryLigand 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