Simulation on Drug Molecules Permeability of the Blood-Brain-Barrier

Blood-brain-barrier (BBB) mainly of tightly interconnected endothelial cells, which have specific function that set the brain apart from other cells in the body. It also can prevent the outer harmful substances from penetrating into the brain. So, most drug molecules can not reach the inner brain. In this paper, we establish a mathematical model to simulate the drug permeability of the blood-brain-barriervia considering the drug molecule size and the blood-brain-barrier permeability. The numerical results are computed via numerical parameters and the variation of drug concentration with respect to time is plotted via using MATLAB. The relationship between the concentration of the infiltrated drug varies over time in the brain is analyzed via considering the different permeability and the contact area, which shows that the internal drug concentration in BBB is proportional to the permeability and the contact area. The result is discussed via considering the molecule size and the blood-brain-barrier permeability.

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