Energy of Quantum Dots Encapsulated in Biological Membrane

Mathematical model of interaction between quantum dots and lipid bilayer is introduced. The quantum dots is encapsulated in the hydrophobic core of biological membrane and influences its bending and interstitial energy. Proposed numerical solution based on Monte Carlo simulated annealing minimizes the total energy of the system. Numerical model predicts considerably lower free energy of lipid bilayer than previous simplified analytical model. The model can be used to predict a critical size of quantum dots.