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A new mathematical model of dynamic cerebral autoregulation based on a flow dependent feedback mechanism

A new mathematical model of dynamic cerebral autoregulation based on a flow dependent feedback mechanism
A new mathematical model of dynamic cerebral autoregulation based on a flow dependent feedback mechanism

A new mathematical model representing dynamic cerebral autoregulation as a flow dependent feedback mechanism is presented. Two modelling parameters are introduced, lambda, the rate of restoration, and tau, a time delay. Velocity profiles are found for a general arterial blood pressure, allowing the model to be applied to any experiment that uses changes in arterial blood pressure to assess dynamic cerebral autoregulation. Two such techniques, thigh cuffs and a lower body negative pressure box, which produce step changes and oscillatory variations in arterial blood pressure respectively, are investigated. Results derived using the mathematical model are compared with data from the two experiments. The comparisons yield similar estimates for lambda and tau, suggesting these parameters are independent of the pressure change stimulus and depend only on the main features of the dynamic cerebral autoregulation process. The modelling also indicates that for imposed oscillatory variations in arterial blood pressure a small phase difference between pressure and velocity waveforms does not necessarily imply impaired autoregulation. It is shown that the ratio between the variation in maximum velocity and pressure variation can be used, along with the phase difference, to indicate the nature of the autoregulatory response.

Blood Flow Velocity, Blood Pressure, Cerebrovascular Circulation, Feedback, Homeostasis, Humans, Hypercapnia, Hypocapnia, Models, Cardiovascular, Journal Article, Research Support, Non-U.S. Gov't
0967-3334
461-473
Kirkham, S.K.
1832ca8c-6bbb-4845-9e4e-44269dac76d7
Craine, R.E.
49507f9c-0cd9-4e81-930c-f897d53ac9b6
Birch, A.A.
755f2236-4c0c-49b5-9884-de4021acd42d
Kirkham, S.K.
1832ca8c-6bbb-4845-9e4e-44269dac76d7
Craine, R.E.
49507f9c-0cd9-4e81-930c-f897d53ac9b6
Birch, A.A.
755f2236-4c0c-49b5-9884-de4021acd42d

Kirkham, S.K., Craine, R.E. and Birch, A.A. (2001) A new mathematical model of dynamic cerebral autoregulation based on a flow dependent feedback mechanism. Physiological Measurement, 22 (3), 461-473. (doi:10.1088/0967-3334/22/3/305).

Record type: Article

Abstract

A new mathematical model representing dynamic cerebral autoregulation as a flow dependent feedback mechanism is presented. Two modelling parameters are introduced, lambda, the rate of restoration, and tau, a time delay. Velocity profiles are found for a general arterial blood pressure, allowing the model to be applied to any experiment that uses changes in arterial blood pressure to assess dynamic cerebral autoregulation. Two such techniques, thigh cuffs and a lower body negative pressure box, which produce step changes and oscillatory variations in arterial blood pressure respectively, are investigated. Results derived using the mathematical model are compared with data from the two experiments. The comparisons yield similar estimates for lambda and tau, suggesting these parameters are independent of the pressure change stimulus and depend only on the main features of the dynamic cerebral autoregulation process. The modelling also indicates that for imposed oscillatory variations in arterial blood pressure a small phase difference between pressure and velocity waveforms does not necessarily imply impaired autoregulation. It is shown that the ratio between the variation in maximum velocity and pressure variation can be used, along with the phase difference, to indicate the nature of the autoregulatory response.

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More information

Published date: August 2001
Keywords: Blood Flow Velocity, Blood Pressure, Cerebrovascular Circulation, Feedback, Homeostasis, Humans, Hypercapnia, Hypocapnia, Models, Cardiovascular, Journal Article, Research Support, Non-U.S. Gov't

Identifiers

Local EPrints ID: 427683
URI: http://eprints.soton.ac.uk/id/eprint/427683
ISSN: 0967-3334
PURE UUID: 4ab4308d-3766-43bf-b010-27fa06d23a12
ORCID for A.A. Birch: ORCID iD orcid.org/0000-0002-2328-702X

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Date deposited: 25 Jan 2019 17:30
Last modified: 26 Nov 2019 01:23

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Contributors

Author: S.K. Kirkham
Author: R.E. Craine
Author: A.A. Birch ORCID iD

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