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Mathematical Modelling of Cerebral Blood Circulation and Cerebral Autoregulation : Towards Preventing Intracranial Hemorrhages in Preterm Newborns
Joint Authors
Turova, Varvara
Botkin, Nikolai
Alves-Pinto, Ana
Blumenstein, Tobias
Lampe, Renée
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Impaired cerebral autoregulation leads to fluctuations in cerebral blood flow, which can be especially dangerous for immature brain of preterm newborns.
In this paper, two mathematical models of cerebral autoregulation are discussed.
The first one is an enhancement of a vascular model proposed by Piechnik et al.
We extend this model by adding a polynomial dependence of the vascular radius on the arterial blood pressure and adjusting the polynomial coefficients to experimental data to gain the autoregulation behavior.
Moreover, the inclusion of a Preisach hysteresis operator, simulating a hysteretic dependence of the cerebral blood flow on the arterial pressure, is tested.
The second model couples the blood vessel system model by Piechnik et al.
with an ordinary differential equation model of cerebral autoregulation by Ursino and Lodi.
An optimal control setting is proposed for a simplified variant of this coupled model.
The objective of the control is the maintenance of the autoregulatory function for a wider range of the arterial pressure.
The control can be interpreted as the effect of a medicament changing the cerebral blood flow by, for example, dilation of blood vessels.
Advanced numerical methods developed by the authors are applied for the numerical treatment of the control problem.
American Psychological Association (APA)
Lampe, Renée& Botkin, Nikolai& Turova, Varvara& Blumenstein, Tobias& Alves-Pinto, Ana. 2014. Mathematical Modelling of Cerebral Blood Circulation and Cerebral Autoregulation : Towards Preventing Intracranial Hemorrhages in Preterm Newborns. Computational and Mathematical Methods in Medicine،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-512027
Modern Language Association (MLA)
Lampe, Renée…[et al.]. Mathematical Modelling of Cerebral Blood Circulation and Cerebral Autoregulation : Towards Preventing Intracranial Hemorrhages in Preterm Newborns. Computational and Mathematical Methods in Medicine No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-512027
American Medical Association (AMA)
Lampe, Renée& Botkin, Nikolai& Turova, Varvara& Blumenstein, Tobias& Alves-Pinto, Ana. Mathematical Modelling of Cerebral Blood Circulation and Cerebral Autoregulation : Towards Preventing Intracranial Hemorrhages in Preterm Newborns. Computational and Mathematical Methods in Medicine. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-512027
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512027