Linear Compartmental Systems-The Basics
نویسنده
چکیده
0.1 The Model Consider material flowing among n compartments labeled 1, 2, · · · , n. Assume to begin that no material flows into any compartment from the external environment but that material can flow out of a compartment to the external environment and be lost. Material may flow between compartments. In Pharmacokinetics, the material is a drug, administered to the body, say orally, and the compartments might include stomach, intestines, blood, kidney, liver,etc. Wherever the drug might be. We want to model
منابع مشابه
Structural identifiability of linear mamillary compartmental systems
In biology and mathematics compartmental systems are frequently used. System identiica-tion of systems based on physical laws often involves parameter estimation. Before parameter estimation can take place, we have to examine whether the parameters are structurally iden-tiiable. In this paper we propose a test for the structural identiiability of linear mamillary compartmental systems. The meth...
متن کاملExistence and uniqueness of positive solutions of a system of nonlinear algebraic equations
Nonlinear or linear algebraic systems appear as steady-state equations in continuous and discrete dynamical models (e.g., reaction-diffusion equations [14,19], neural networks [5,6,15,22] compartmental systems [2,4,11,12,16,17], population models [13,21]). Next we mention some typical models. Compartmental systems are used to model many processes in pharmacokinetics, metabolism, epidemiology an...
متن کاملA Model of Time-dependent Biodistribution of 153Sm-Maltolate Complex and Free 153Sm Cation Using Compartmental Analysis
Introduction Compartmental analysis allows the mathematical separation of tissues and organs to determine activity concentration in each point of interest. Biodistribution studies on humans are costly and complicated, whereas such assessments can be easily performed on rodents. In this study, we aimed to develop a pharmacokinetic model of 153Sm-maltolate complex as a novel therapeutic agent and...
متن کاملStructural Identi ability from Input - Output
In biology and mathematics compartmental systems are frequently used. System identiication of systems based on physical laws often involves parameter estimation. Before parameter estimation can take place, we have to examine whether the parameters are structurally identiiable. In this paper tests for the structural identiiability of linear compartmental systems are proposed. The method is based...
متن کاملPositive and compartmental systems
When dealing with compartmental systems, an important question is: given an experiment, i.e., an input–output sequence, and supposing there is no error in the data, is the sequence compatible with the compartmental assumption? If the process under analysis is linear, then the previous question is obviously equivalent to asking whether a given transfer function is that of a compartmental system....
متن کامل