Batzel JJ, Kappel F. Time delay in physiological systems: analyzing and modeling its impact.
Math Biosci 2011;
234:61-74. [PMID:
21945380 DOI:
10.1016/j.mbs.2011.08.006]
[Citation(s) in RCA: 28] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/10/2011] [Revised: 08/22/2011] [Accepted: 08/25/2011] [Indexed: 10/17/2022]
Abstract
This article examines the functional and clinical impact of time delays that arise in human physiological systems, especially control systems. An overview of the mathematical and physiological contexts for considering time delays will be illustrated, from the system level to cell level, by examining models that incorporate time delays. This examination will highlight how such delays in combination with other system structures and parameters influence system dynamics. Model analysis that reveals the influence of delays can also reveal related physiological effects which may have medical consequences and clinical applications.
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