Modeling the Release Kinetics of Poorly Water-Soluble Drug Molecules from Liposomal Nanocarriers

Figure 2

Exemplification of our system: 𝑁_𝑑=6 donor liposomes (dark shaded) and 𝑁_𝑎=9 acceptor liposomes (light shaded) reside in an aqueous space of volume 𝑉; each liposome can carry at most 𝑚=3 drug molecules (black bullets). For the displayed hypothetical snapshot (taken at a certain time 𝑡), the distribution function of drug molecules among the donor liposomes is 𝑑₀=1, 𝑑₁=2, 𝑑₂=2, 𝑑₃=1, leading to a total of 𝑀_𝑑=∑^𝑚_𝑗=0𝑗𝑑_𝑗=9 drug molecules residing in donor liposomes. Analogously for the acceptor liposomes, the distribution function is 𝑎₀=5, 𝑎₁=3, 𝑎₂=1, 𝑎₃=0, implying 𝑀_𝑎=∑^𝑚_𝑗=0𝑗𝑎_𝑗=5.