Mathematical modeling of time-dependent oxygen transport in rat peripheral nerve

Terrence D. Lagerlund, Phillip A. Low

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We modeled time-dependent transport of oxygen in peripheral nerve. Simulation began with a steady-state oxygen tension field determined by capillary diameter and length, intercapillary distance, blood-flow velocity, oxygen consumption rate, and arterial oxygen tension. One of these parameters was assumed to change rapidly to new constant value, producing time-varying oxygen tensions. A monoexponential or biexponential function characterized the oxygen tension time variation. Rate constants of the slower exponential ranged from 0.017 sec-1 to 0.46 sec-1, implying minimal time lag in response of peripheral nerve oxygen tensions to alterations in blood flow, arterial blood oxygenation, or metabolic demands.

Original languageEnglish (US)
Pages (from-to)29-47
Number of pages19
JournalComputers in Biology and Medicine
Issue number1
StatePublished - Jan 1993


  • Nerve oxygen consumption
  • Nerve resistance to ischemia
  • Nerve tissue oxygenation
  • Time-dependent oxygen transport

ASJC Scopus subject areas

  • Computer Science Applications
  • Health Informatics


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