title: A stochastic delay differential model of cerebral autoregulation.
abstract: Mathematical models of the cardiovascular system and of cerebral autoregulation (CAR) have been employed for several years in order to describe the time course of pressures and flows changes subsequent to postural changes. The assessment of the degree of efficiency of cerebral auto regulation has indeed importance in the prognosis of such conditions as cerebro-vascular accidents or Alzheimer. In the quest for a simple but realistic mathematical description of cardiovascular control, which may be fitted onto non-invasive experimental observations after postural changes, the present work proposes a first version of an empirical Stochastic Delay Differential Equations (SDDEs) model. The model consists of a total of four SDDEs and two ancillary algebraic equations, incorporates four distinct delayed controls from the brain onto different components of the circulation, and is able to accurately capture the time course of mean arterial pressure and cerebral blood flow velocity signals, reproducing observed auto-correlated error around the expected drift.
authors.affiliation: Consiglio Nazionale delle Ricerche, Istituto di Analisi dei Sistemi ed Informatica "Antonio Ruberti", Rome, Italy.
authors.forename: Simona
authors.initials: S
authors.lastname: Panunzi
authors.affiliation: Consiglio Nazionale delle Ricerche, Istituto di Analisi dei Sistemi ed Informatica "Antonio Ruberti", Rome, Italy.
authors.forename: Laura
authors.initials: L
authors.lastname: D'Orsi
authors.affiliation: Dipartimento di Ingegneria Informatica, Automatica e Gestionale "Antonio Ruberti", Rome, Italy.
authors.forename: Daniela
authors.initials: D
authors.lastname: Iacoviello
authors.affiliation: Consiglio Nazionale delle Ricerche, Istituto di Analisi dei Sistemi ed Informatica "Antonio Ruberti", Rome, Italy.
authors.forename: Andrea
authors.initials: A
authors.lastname: De Gaetano
mesh_terms: D001783:Blood Flow Velocity; D001794:Blood Pressure; D001921:Brain / Q000098:blood supply / Q000378:metabolism*; D006706:Homeostasis; D006801:Humans; D008955:Models, Cardiovascular; D011187:Posture / Q000502:physiology; D013269:Stochastic Processes
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