A theoretical model of a wave: an efflux bounce of a solution-particle

Abstract A description of a wave as a bounce is developed. A wave that carries a mass is characterised by a bounce and the mass-spring-damper system. Furthermore, an analogy of a wave/bounce to the mass-spring-damper system is suggested. The efflux bounce considered is responsible for dispersion and is part of the drug transportation wave network in the patient’s blood plasma. A four-dimensional length of tugs (wave) describing the efflux bounce is modelled by a system of differential equations. A single equivalent fourth-order differential equation system is suggested to model the same wave. The two systems are inferred to share a unique characteristic equation. The theoretical models developed are used to infer on the characterisation of the wave comprising of media and boundary components. The media is found to be rigid ( ω I = 0 h − 1 ) and the boundary as deformable ( ω E = 0.1166154 h − 1 ) . A loaded structure-wave-particle analogy is proposed.