Reference no: EM132080844

Chemical Foundations in Biomedical Engineering Project Assignment -

Physiologically based pharmacokinetic (PBPK) models have been shown to be useful in predicting drug distribution throughout the body. In this project, you will complete a PBPK model of a model drug's distribution and clearance in the body.

Tasks:

Begin by reading about PBPK models and their use in pharmaceutical development and evaluation in Zhuang and Lu (2016), which is posted in the Project and Laboratories Module. You may also wish to Google PBPK models to get a better sense. Note that you will not be quizzed on the Zhuang and Lu paper and you do not need to know or understand all of the details. The point of reading this is to gain an introduction to and appreciation for the type of model that you will be creating.

For this project, you will be examining the distribution of a model drug, Elheats. Elheats is broken down in the liver into Cirekram. Cirekram has many detrimental effects in the body, and therefore, it is desirable to track and document both compounds after ingestion of the drug.

DELIVERABLE 1 -

Deliverable 1A: From the information given above, create two schematics that show the distribution paths of Elheats and Cirekram (one schematic each - they should be similar, but not identical). Your schematics may take any form, but you may wish to review Figure 1 of Zhuang and Lu for an example. You may, however, find it easier to simplify their representation and draw a simple flow diagram that shows the path of distribution.

Deliverable 1B: From the information given above, generate a list of ordinary differential equations that you would use to develop a PBPK model of Elheats and Cirekram. Submit the list of equations as well as all of your work to develop those equations. You may use either numerical values (with units) or parameters (e.g. Vc) in these equations. If you choose to use parameters, make sure to define the parameters somewhere easily accessible in your submission.

DELIVERABLE 2 -

Submit graphs that that show the Elheats and Cirekram concentrations in the blood (central compartment) in the 300 minutes following a 0.25g/kg dose of Elheats (two separate graphs, with axis labels (don't forget the units)).

To accomplish this, you will need to use an ordinary differential equation solver, such as MATLAB's ode15s. An explanatory video is posted in the Project and Laboratories Module to help you navigate the proper syntax for ode15s. The solutions to Deliverable 1 will be posted in Week 5, and you will learn how to utilize the reaction terms in Week 6. In addition to the graphs themselves, you must submit your MATLAB code that is used to generate the graphs you submit.

Attachment:- Assignment File.rar