I need help creating differential equation/s for this model, I also have trouble with finding the initial conditions, whether or not its linear and with graphing it.

I have chosen to try and medel drug concentration in the My as my milestone topic of choice. In order to proceed we must have a clear and well-dened understanding of the mechanism of how drugs work in the body. This is known as Phumacokinecs, which is the process of a drug as it enters and exits the body through four stages: absorption, distribution, metabolism, and excretion. This can be known as (ADME) I personally nd acronyms helpful in conveying ideas. They 're several ways to model how drugs work in the body and the model I have chosen is the OneComp nrtment Open Model, which models the Phannacokinetic journey of a drug given through IV Bolus. This is based on the work of Erik Widmark1 Under this Model, Drug Concentration in the My is the amount of a drug that is quickly spread throughout the My through IV Bolus and treats the budy as a singular uniform organism. While they're more complex and nuanced models this is very useil in the context of emergency medicine where these rapid decisions must be made to administer optimal outcomes Widmarks One-Compartment Open Model can be calculated with relative ease with an exponential function. A certain amount of a drug (A1) is administered at a constant rate of (km) while the amount of a drug in a body (A1) and the amount of drug eliminated (A2) are also dependent on the elimination rate constant (kn) Here is a visual aid to help in understanding: kl I:> k\