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