Simulation using Newton-Raphson Method for a Hypothetical Host : Guest = 1 : 2 Complex with a Vertical Plane of Symmetry

We formulate a derivation of host : guest = 1 : N equilibrium model for the purpose of giving an alternative approach to deal with cooperative problems and carefully take a look at three cases of cooperativity factors given three different concentrations. This would take a minor assumption given a hypothetical host-guest complex with a vertical plane of symmetry. These works would help giving an intuition for the researchers who evaluate binding constant and stoichiometry. We also considered Job plots frequently used in supramolecular host-guest chemistry. All simulations using Newton-Raphson method were conducted in simple Python codes.