#TITLE_ALTERNATIVE#

• Main Author: SESYA SRI PURWANTI (NIM : 10209019)
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/19449
• Institution: Institut Teknologi Bandung

Lead is a heavy metal which has great opportunities to contaminate human body. Based on the metabolism process, lead enters human body within 2 ways, inhalation (respiratory tract) and ingestion (gastrointestinal tract), and after that it will be accumulated in few parts of human body. Compartmental model is used to describe this process to determine the lead concentration rate. However, metabolism process is considered complicated enough therefore in this final project the simple compartmental model (2-compartmental model) is used in the beginning.The 2-compartmental model has reversible interaction between blood compartment and the other part of human body compartment. A 3-compartmental model has blood as a central compartment, meanwhile bone and tissue as the other 2 compartments. Finally, we can develop our model to 4-compartmental model, which has 4 compartments; i.e. blood, soft tissue, cortical bone, and trabecular bone. Finite Different Method (FDM) is used to determine lead concentration rate in each compartment. In the 2-compartmental model, we compared the result of FDM with optimum time step 3x10-4 days from analytic calculation. The difference between the two methods is 1,24x10-5 %. In the 3-compartmental model, we compared the result of FDM from the result of Rabinowitz (1976). The concentration rate for blood compartment from FDM is a bit higher compared to the reference, but in general the patterns are similar. Finally, in the 4-compartmental model, we compared the result of FDM from analytical calculation from the study by Coetzee. The concentration rate from FDM mimics the reference quite well, with percent error 2,75x10-3 %..