TY - JOUR
T1 - Cooperative binding isotherms for nearest neighbor interacting ligands on platonic solids
T2 - A simple model for viral capture nanotherapy
AU - Siegel, Ronald A
AU - Linstad, Jayne L.
PY - 2010/11/11
Y1 - 2010/11/11
N2 - The binding polynomial formalism is used to calculate binding isotherms for nearest neighbor interacting ligands on the platonic solids, i.e., tetrahedron, cube, octahedron, dodecahedron, and icosahedron. The activity of ligand (concentration multiplied by intrinsic binding constant of ligand to single sites) at half occupancy is precisely determined by the product of the coordination number or valence of the vertices and the free energy of interaction, regardless of other geometrical and topological features. More importantly, the sharpness of binding curves increases with interaction strength, with Hill exponents approaching the number of binding sites per solid particle, i.e., the number of vertices or the number of faces. Potential applications of the model to viral capture nanotherapy are suggested.
AB - The binding polynomial formalism is used to calculate binding isotherms for nearest neighbor interacting ligands on the platonic solids, i.e., tetrahedron, cube, octahedron, dodecahedron, and icosahedron. The activity of ligand (concentration multiplied by intrinsic binding constant of ligand to single sites) at half occupancy is precisely determined by the product of the coordination number or valence of the vertices and the free energy of interaction, regardless of other geometrical and topological features. More importantly, the sharpness of binding curves increases with interaction strength, with Hill exponents approaching the number of binding sites per solid particle, i.e., the number of vertices or the number of faces. Potential applications of the model to viral capture nanotherapy are suggested.
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U2 - 10.1021/jp1066378
DO - 10.1021/jp1066378
M3 - Article
C2 - 20949931
AN - SCOPUS:78149256858
SN - 1520-6106
VL - 114
SP - 14071
EP - 14076
JO - Journal of Physical Chemistry B
JF - Journal of Physical Chemistry B
IS - 44
ER -