COMPUTER SIMULATION OF EXCITON JUMPING STATISTICS AND ENERGY FLOW IN C-PHYCOCYANIN OF ALGAE Agmenellum quadruplicatum IN THE PRESENCE OF TRAPS

Abstract—Energy migration has been studied in C-phycocyanin (C-PC) rods with traps located in the terminal trimer disc, using the Monte Carlo method and the system of differential equations. It has been found that jump time statistics can be described by the function F = C(t/0>)exp(-t/ < t_o>), where C is the constant, t and < t₀ > are, respectively, the exciton jump time and its averaged value for chromophores of the corresponding spectral types (α 84 , β84 or β155). The values < t₀ > were calculated for the cases of C-PC monomers, trimers and higher associates.
The C-PC model, which consists of three hexamers with traps located in the β84 chromophores of the peripheral trimer, was examined. It was found that the total efficiency of excitation capturing, ø_tr, exceeds 90%, provided "local" quantum yield of energy trapping ø₀ > 10%. The ø₀ value influences both the excitation lifetime (τ) and the mean number of excitation jumps (N_iump) before its conversion. For the ø₀ = 100% and 10%, the corresponding lifetimes and numbers of jumps were calculated to be τ= 75 and 155 ps and N_jump= 105 and 222 jumps, respectively.
The dynamics of excitation redistribution along the C-PC rods and the fluorescence kinetics for various ø₀ values were calculated for C-PC chromophores excited by a +, and the correlation between these processes and ø ₀ , was disclosed. The transient processes of excitation redistribution were shown to proceed within a time period t < 30 ps.