A New Fuzzy Technique for Drug Concentration in Blood

Abstract

The use of integral transforms to obtain a form of solution to differential equations is a very general technique. This powerful methods allows one to turn a complicated problem into a simpler one.

In this paper, we introduce a new integral transform which is called ‘SHA-transform’ that is used to solve ordinary differential equations. Some important definitions, properties and theorems are discussed as well. The concepts of fuzzy sets are widely used in differential equations field, so in this work, a fuzzy SHA-transform, definitions and established theorems are represented. An equation related with the drug concentration in the plasmas is solved using fuzzy SHA- transform, due to integral transforms accuracy. Drug concentration drives by collecting a blood sample after taking the drug at any time, then measuring the drug’s amount in a given volume of the plasma in the sample.