title: Comparison of chaotic and sinusoidal vasomotion in the regulation of microvascular flow.
abstract: OBJECTIVE
  In order to elucidate the physiological consequences of irregular vasomotion on microvascular flow we have compared the theoretical hydrodynamic consequences of sinusoidal and chaotic fluctuations in the diameter of a single resistance vessel.
  
  
  METHODS
  In initial experimental studies vasomotion was induced by histamine in isolated rabbit ear resistance arteries (approximately 150 microns diameter) perfused with physiological buffer under both controlled-flow and controlled-pressure conditions. The phase relationships between the observed oscillations in flow and pressure were used to validate a theoretical electrical circuit in which vasomotion was simulated as sinusoidal or as chaotic fluctuations in distal resistance, with compliance incorporated as a parallel capacitance.
  
  
  RESULTS
  In both the experimental and theoretical situation, oscillations in flow led those in pressure by approximately 90 degrees in controlled-flow mode, whereas they were approximately 180 degrees out of phase in controlled-pressure mode. In the theoretical model an increase in the amplitude of sinusoidal or chaotic diameter fluctuations enhanced flow, but "paradoxically" increased both time-averaged resistance and conductance. The model showed that with sinusoidal fluctuations the "efficiency" of perfusion (i.e., flow/viscous work expended in perfusing the vessel undergoing vasomotion) exhibited a peak whose magnitude was a function of vasomotion amplitude and the proximal capacitance in the circuit, and was attributable to transient release of charge from this capacitance. This phenomenon was not observed in simulations with chaotic vasomotion. Hydrodynamic effects specific to the presence of chaotic dynamics (e.g., abrupt increases or decreases in flow under the variation of a single parameter) were also evident when the intrinsic complexity of the vasomotion, rather than its amplitude, was varied.
  
  
  CONCLUSIONS
  The model suggests (i) that vasomotion may serve to increase flow, (ii) that conductance provides a more accurate physiological measure of the functional consequences of active vasomotion than resistance, (iii) that chaotic vasomotion dissipates transients more readily than sinusoidal vasomotion, thereby conferring greater stability to microcirculatory perfusion and (iv) that specific modes of chaotic vasomotion may influence flow independently of their amplitude.
authors.affiliation: Department of Diagnostic Radiology, University of Wales College of Medicine, Cardiff, UK.
authors.forename: D
authors.initials: D
authors.lastname: Parthimos
authors.forename: D H
authors.initials: DH
authors.lastname: Edwards
authors.forename: T M
authors.initials: TM
authors.lastname: Griffith
mesh_terms: D000818:Animals; D004423:Ear / Q000098:blood supply; D008433:Mathematics; D008833:Microcirculation / Q000502:physiology*; D008954:Models, Biological; D017711:Nonlinear Dynamics; D011817:Rabbits; D012039:Regional Blood Flow; D014666:Vasomotor System / Q000502:physiology*