![]() My naive self has always thought it was doctors themselves that claimed how many pills one can take and yet, in reality, I am very wrong. ![]() We take for granted the work that goes into supplying citizens with medicine and we fail to recognize the importance of directions such as, how many pills you can take. This is an excellent article and analysis of how calculus impacts the medical industry. Written by ndj8585 Posted in Student posts 7 comments ![]() Without drug specialists in the pharmaceutical industry testing drug concentrations over time and modeling them using calculus, we would not have labels on medication that provide instructions for dosage use.Īlthough the equation for each drug looks unique depending on its properties and the patient’s anatomy, calculus is necessary for medical professionals to have the ability to map the relationship between drug concentration in the body over time. Absorption = $(k_a)(d)(b) \times e^$ Medical professionals need calculus! In order to calculate the rate of absorption, the equation must include the drug dosage, the absorption constant, and the drug’s bioavailability. * bioavailability is the amount of the drug which has already been absorbed divided by the total amount of drug available In addition to the above variables which seem relatively obvious, the equation also requires the use of : $t$ – time in hours since consumption of drug $c$ – the concentration of the drug at any time t In order to create a differential equation that describes the physical quantities of a drug in relation to the rate at which they change, let’s consider the following variables: Therefore, a differential equation describes the relationship between these physical quantities and their rates of change. In applications of differential equations, the functions represent physical quantities, and the derivatives, as we know, represent the rates of change of these qualities. The way that a drug’s concentration over time is calculated is using calculus ! In fact, a drugs course over time can be calculated using a differential equation. In order for doctors to prescribe the correct dosage of a drug and provide a regimen for treatment (ie., “take 2 capsules twice a day”), the drug’s concentration over time must be tracked. The drug no longer provides pain relief and is excreted by the body.During this point, the pain relieving effects begin to wear off slightly.Metabolism – the drug is processed and broken down by the body. ![]() During this point, the pain-relieving gel provides pain relief as it is being spread through the blood stream by the body.Distribution – the drug is dispersed through the body.This would occur when the medicinal components of the gel enter the bloodstream.Absorption – the drug enters the body through blood circulation.For example, this would be the point in which the outer core of a pain-relieving gel capsule (ie., Advil) disintegrates to release the medicinal components inside.Liberation – the drug is released from its pharmaceutical formulation.Pharmacokinetics can be broken down into five general steps in which a drug takes its course: Pharmacokinetics is the study of how drugs (or any other substances that can be consumed) are processed within the body.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |