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Half-life is the time required for a quantity to reduce to half of its initial value. Learn how to calculate half-life for different types of exponential decay, such as radioactive decay, chemical reactions and population growth, with formulas and examples.
Biological half-life is the time for a substance to decrease from its maximum concentration to half in the blood plasma. It depends on factors such as metabolism, excretion, protein binding, and receptor interactions. See examples of drugs, metals, and water.
An effective half-life of the drug will involve a decay constant that represents the sum of the biological and physical decay constants, as in the formula: = + With the decay constant it is possible to calculate the effective half-life using the formula:
Exponential decay is a process where a quantity decreases at a rate proportional to its current value. Learn the differential equation, the decay constant, the mean lifetime, the half-life, and the applications of exponential decay in physics, chemistry, biology, and more.
Radiocarbon dating is a method for determining the age of an object containing organic material by using the properties of radiocarbon, a radioactive isotope of carbon. Learn how radiocarbon is created, how it decays, and how it is used to date archaeological sites and events.
Learn how context-sensitive half-life or half-time is defined and influenced by the duration of infusion and the pharmacokinetics of drugs. See examples of drugs with different context-sensitive changes and their implications for anesthesia.
the half-life is related to the decay constant as follows: set N = N 0 /2 and t = T 1/2 to obtain t 1 / 2 = ln 2 λ = τ ln 2. {\displaystyle t_{1/2}={\frac {\ln 2}{\lambda }}=\tau \ln 2.} This relationship between the half-life and the decay constant shows that highly radioactive substances are quickly spent, while those that radiate ...
AUC stands for area under the curve, a pharmacokinetic metric that measures the drug exposure and clearance. Learn how AUC is calculated, interpreted, and applied in different contexts, such as bioavailability, glycemic index, and PK/PD models.