![]() For example, have you ever had a headache and noticed that there is a delay between the time you swallow some ibuprofen tablets and the time when you start feeling better? This is due partly to an absorption delay arising from the time it takes for the drug to be transported from the depot site to the central compartment after drug administration. Why is modeling delays important?ĭelays commonly occur in pharmacology. In this blog post, I will introduce DDEs and demonstrate their relationship with traditional models such as transit compartment models, typical absorption models, and models for describing atypical absorption profiles. In addition, it may require many differential equations to fit the data and may not adequately describe some complex features.ĭelay differential equations (DDEs) provide an alternative way to model delayed outcomes that does not suffer these disadvantages. ![]() The obvious disadvantage for this type of model is it requires manually finding proper values for the number of compartments. Transit compartment models, described by systems of ordinary differential equations, have been widely used to describe delayed outcomes in PK and PD studies. Delays are ubiquitous in pharmacokinetics (PK) and pharmacodynamics (PD) studies.
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