On the reducibility of compartmental matrices

  • Authors:

  • Jin-Zhi Lei;Chang-Yi Wang

  • Affiliations:

  • Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China,;Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China, and Department of Mathematics, Michigan State University, East Lansing, MI 48823, USA and Department of Ph ...

  • Venue:
  • Computers in Biology and Medicine
  • Year:
  • 2008

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Abstract

Compartmental analysis is the most important modeling tool in biology and medicine. The perturbation due to a tracer in a biomedical system usually leads to a linear system that can be described by a compartmental matrix. The reducibility of the compartmental matrix has important implications on the system, both analytically and computationally. This note provides an efficient algorithm to determine the reducibility of a compartmental system. Furthermore, if reducible, the algorithm provides a means to delineate the sub-systems to be successively solved.