JURNAL PENDIDIKAN DAN PENGEMBANGAN PROFESI

Abstract

Systems of linear differential equations is the systems that contain equations with many derivative unknown function. This systems usually using mathematical models to get real problems solving in scientific and industry applications, example albumin circulation problems. This problems about how the circulation and the distribution of albumin in the body. To study the albumin circulation process given an injection of radioactive albumin referred to as I131-albumin with certain amount into the animal vascular where it in the normal conditions is assumed to have a constant amount of albumin, so the process of albumin circulation in the part of vascular and the extravascular, albumin is being brokendown, and albumin is being excreted will be seen. Than, made assumtion: since there is only once injection, no new albumin/protein is being synthesized. The gaining (+) and the losing (-) some of albumin that continously the each of those part and the velocity of change with the use derivatives with respect to time (t). From those assumtions, we get mathematical model of I131-radioactive albumin circulation on systems with constant coefficients of homogen linear differential equations. This systems consist n linear differential equations in n unknown value functions, for n ? 2.

Keyword

Mathematical Model, Albumin Circulation, Systems of Linear Differential Equations

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