Mathematical Modelling of Brain Haemodynamics and Pressure-Volume Compensation

Dynamical properties of cerebral blood flow (CBF) and cerebrospinal fluid circulation (CSF) can be modelled by a structure of nonlinear differential equations (1). Models describe such phenomena as autoregulation of blood flow, brain venous blood outflow, compensatory role of CSF circulation, etc (2). They are relevant to understanding of pathophysiological mechanisms after traumatic brain injury, subarachnoid haemorrhage, stroke, in hydrocephalus and in idiopathic intracranial hypertension. Database of recorded clinical signals is available for verification or identification of successful modelling structures. Project will be focused on further refinement of the existing models, including their application for non-invasive assessment of intracranial pressure (3), asymmetry of CBF and phenomenon related to collapse of cerebral venous sinuses. Project suits neuroscientists with strong computer skills (including writing own codes, advanced Matlab, etc).