Compartmental and Data-Based Modeling of Cerebral Hemodynamics: Linear Analysis

Compartmental and data-based modeling of cerebral hemodynamics are alternative approaches that utilize distinct model forms and have been employed in the quantitative study of cerebral hemodynamics. This paper examines the relation between a compartmental equivalent circuit and a data-based input-output model of dynamic cerebral autoregulation (DCA) and dynamic CO2-vasomotor reactivity (DVR). The compartmental model is constructed as an equivalent circuit utilizing putative first principles and previously proposed hypothesis-based models. The linear input-output dynamics of this compartmental model are compared with the data-based estimates of the DCA-DVR process. This comparative study indicates that there are some qualitative similarities between the two-input compartmental model and experimental results.

[1]  Silvia Daun,et al.  Modelling, analysis and calculation of cerebral hemodynamics , 2007 .

[2]  Dae C. Shin,et al.  Time-Varying Modeling of Cerebral Hemodynamics , 2014, IEEE Transactions on Biomedical Engineering.

[3]  Henry Rusinek,et al.  Cerebrovascular reactivity to carbon dioxide in Alzheimer's disease. , 2013, Journal of Alzheimer's disease : JAD.

[4]  B. Levine,et al.  Transfer function analysis of dynamic cerebral autoregulation in humans. , 1998, American journal of physiology. Heart and circulatory physiology.

[5]  C. Iadecola Neurovascular regulation in the normal brain and in Alzheimer's disease , 2004, Nature Reviews Neuroscience.

[6]  R. Rao,et al.  The role of carotid stenosis in vascular cognitive impairment , 2002, Journal of the Neurological Sciences.

[7]  J. Claassen,et al.  Cerebral Autoregulation: An Overview of Current Concepts and Methodology with Special Focus on the Elderly , 2008, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[8]  L Beydon,et al.  Cerebral hemodynamics during arterial and CO(2) pressure changes: in vivo prediction by a mathematical model. , 2000, American journal of physiology. Heart and circulatory physiology.

[9]  Dae C. Shin,et al.  Model-based Quantification of Cerebral Hemodynamics as a Physiomarker for Alzheimer’s Disease? , 2013, Annals of Biomedical Engineering.

[10]  Greg Atkinson,et al.  Contribution of arterial Windkessel in low-frequency cerebral hemodynamics during transient changes in blood pressure. , 2011, Journal of applied physiology.

[11]  Rong Zhang,et al.  Dynamic pressure–flow relationship of the cerebral circulation during acute increase in arterial pressure , 2009, The Journal of physiology.

[12]  VZ Marmarelis,et al.  Linear and Nonlinear Modeling of Cerebral Flow Autoregulation Using Principal Dynamic Modes , 2012, The open biomedical engineering journal.

[13]  V. Z. Marmarelis,et al.  Closed-Loop Dynamic Modeling of Cerebral Hemodynamics , 2013, Annals of Biomedical Engineering.

[14]  Eri Shijaku,et al.  Dynamic cerebral autoregulation in subjects with Alzheimer's disease, mild cognitive impairment, and controls: evidence for increased peripheral vascular resistance with possible predictive value. , 2012, Journal of Alzheimer's disease : JAD.

[15]  Fathi H. Ghorbel,et al.  Cerebral autoregulation and gas exchange studied using a human cardiopulmonary model , 2004 .

[16]  Joep Lagro,et al.  Impaired cerebral autoregulation and vasomotor reactivity in sporadic Alzheimer's disease. , 2014, Current Alzheimer research.

[17]  L. Tarassenko,et al.  Combined Transfer Function Analysis and Modelling of Cerebral Autoregulation , 2006, Annals of Biomedical Engineering.

[18]  R. Aaslid,et al.  Cerebral autoregulation dynamics in humans. , 1989, Stroke.

[19]  Age and Ageing Vascular compliance is reduced in vascular dementia and not in Alzheimer's disease , 2008 .

[20]  M. Ursino,et al.  Interaction among autoregulation, CO2 reactivity, and intracranial pressure: a mathematical model. , 1998, American journal of physiology. Heart and circulatory physiology.

[21]  Anand Viswanathan,et al.  Cerebral amyloid angiopathy in the elderly , 2011, Annals of neurology.

[22]  Georgios D. Mitsis,et al.  Nonlinear modeling of the dynamic effects of arterial pressure and CO2 variations on cerebral blood flow in healthy humans , 2004, IEEE Trans. Biomed. Eng..

[23]  B. P. Lathi Linear systems and signals , 1992 .

[24]  S. Payne A model of the interaction between autoregulation and neural activation in the brain. , 2006, Mathematical biosciences.

[25]  Vasilis Z. Marmarelis,et al.  Nonlinear Dynamic Modeling of Physiological Systems: Marmarelis/Nonlinear , 2004 .

[26]  Tingying Peng,et al.  Multivariate System Identification for Cerebral Autoregulation , 2008, Annals of Biomedical Engineering.