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dition was then detected by a two-depth transcranial Doppler (TCD) systemic venous pressure, establishes the downstream pressure for ultrasound, and the corresponding external pressure was taken as the cerebral perfusion. This is a consequence of the Starling resistor effect, estimate of ICP. resulting from the collapse of the cerebral veins owing to ICP being Some nICP estimation methods feed simultaneous measurements greater than venous pressure (27); it is also the reason that CPP is of peripheral arterial blood pressure (ABP) along with TCD measure- defined as the difference between mean ABP and ICP, rather than bements of CBFV into multiparameter mappings to generate the ICP tween mean ABP and systemic venous pressure. estimate. Examples are mappings involving nested regressions (22), Our model is conveniently specified by its electrical circuit analog neural networks (23), or support-vector machines (24). The recording (Fig. 1C), where pressures are represented by voltages, and flows by of ABP and CBFV waveforms in the clinical setting is quite routine; currents. The instantaneous ABP and CBF at time t are represented by ABP measurement is already necessitated in a wide spectrum of crit- the voltage pa(t) and the current q(t), respectively. The effective ical care patients, and CBFV is the standard of care in patients with resistance of the cerebral vasculature supplied by the middle cerebral certain neurovascular pathologies. However, the large number of artery (MCA) is represented by the resistor R, and the effective comparameters and the lack of an underlying mechanistic model mean pliance of this cerebral vasculature and surrounding brain tissue is that such “black box” mappings can fail to adequately and robustly represented by the capacitor C. Our algorithm for estimation of ICP— capture the relevant physiology. with simultaneous estimation of R and C—resulted from requiring the Almost all the above noninvasive methods require calibration or model constraints to be satisfied as closely as possible by the obtained tuning of parameters that relate the measured quantities to the ICP measurements, over an estimation window comprising the data assoestimates. Such calibration or tuning typically involves the use of ICP ciated with several consecutive beats, and under the assumption that measurements obtained invasively on the patient or from some ref- ICP, R, and C are constant over that window. erence population. Furthermore, training on a reference population For each estimation window, the algorithm generated one nICP causes the accuracy of the ICP estimates to depend on how well a par- estimate, which can be considered an estimate of the mean ICP over ticular patient is represented in the training set. As noted by Popovic the estimation window. The estimation window had to be long and coauthors (10), after surveying nearly 30 nICP methods patented enough (more than five beats) to allow some averaging of the data over the last 25 years, none of the methods is sufficiently accurate to over multiple beats, with a corresponding attenuation of the effects allow for routine clinical use. An additional factor in the way of clin- of measurement noise, respiratory artifacts, and other such perturbaical adoption for some of the proposed approaches is the difficulty or tions. However, the window also needed be short (≤60 beats) comexpense (hardware, computation, human resources) of the involved pared to the time scales of significant transients in the underlying ICP. measurements. None of the previously proposed approaches to nICP The ABP in our model was arterial pressure at the MCA, whereas estimation has transitioned from the research setting to accepted clin- our ABP measurement was made at the radial artery. These two arical practice, although commercial products based on the methods in terial pressure waveforms undoubtedly differ in transit time from the (17), (21), and (22) are available. heart and in pulse morphology; their mean values are close, however, Here, wevulnerable present a model-based approach to obtaining estimates provided measurements taken with respect a common Brain tissue is highly to unbalanced oxygen demand and supply. A few seconds ofareoxygen deficit may to trigger neurological symptoms, and sustained oxygen of ICP on a beat-by-beat time scale from noninvasive waveform reference. Although there is no straightforward way to correct for deprivation over a few minutes may result in severe and often irreversible brain damage. The rapid dynamics coupled to the potential for severe injury necessitate measurements of CBFV and ABP. Our approach does not require morphological differences, our algorithm determines and applies an continuous, patient-specific and ideally noninvasive, monitoring in theappropriate populations greatest risk forradial developing oronexacerbating brain injury. One of the key variables calibration orcerebrovascular training on a reference population. time at shift to the measured artery ABP the estiassociatedwith computational burden is negligible, thereby allowing mation window to obtain waveform on that brain can serve as aand plausible to monitor The in patients brain injury is intracranial pressure (ICP), which determines theapressure tissue also affects cerebral perfusion. Current near–real-time ICP. the penetration of the skull and proxythe for ABP at the MCA. measurement modalitiesestimation for ICP of require placement of a pressure-sensitive probe in the brain parenchyma or cerebral fluid spaces. Computational Physiology and Clinical Inference Group Multi-scale Bioengineering and Biophysics Downloaded from stm.sciencemag.org on October 9, 2012 Principal Investigators: George C. Verghese, Thomas Heldt Graduate Students: Shamim Nemati, Becky Asher, Greg Ciccarelli, Ehi Nosakhare Undergraduate Students: James Noraky, Aditya Kalluri, Yu-chi Kuo, Ben Frank The Computational Physiology and Clinical Inference Group develops and applies computational models of human physiology for clinical monitoring and inference. Our current research focuses on cardiovascular, cerebrovascular, respiratory and neurological applications. Projects Non-invasive ICP Estimation We are developing and validating non-invasive methods to assess ICP continuously and robustly in a patient-specific and calibration-free manner. A B C RESULTS Skull Skull ICP Dynamic model and CSF CSF estimation algorithm ABP Detailed dynamic models of the cerebroArteries Veins ICP CBF vascular space (Fig. 1A) have been develBT oped in the literature (25–27). We obtained Brain ICP a highly simplified model that focuses AN on the major intracranial compartments— brainabstraction tissue, cerebral and CSF Progressive of vasculature, cerebrovascular physiology: (A) Relevant cerebrovascular anatomy. (B) Schematic representation of the main cerebrovascular compartments and associated Fig. 1. Progressive abstraction of cerebrovascular physiology. (A) Relevant cerebrovascular anatomy: space—and the associated variables (Fig. brain tissuevariables. (BT), cerebrospinal fluid (CSF), and cerebralrepresentation arterial network (AN). (B) Schematic representaphysiological (C) Lumped circuit-model of cerebrovascular physiology. 1B). The variables involved in the model tion of the main cerebrovascular compartments and associated physiological variables: cerebral blood Kashif, Faisal M. et al. “Model-Based Noninvasive Estimation of Intracranial Pressure from Cerebral Blood Flow Velocity and Arterial Pressure.” Science Translational Medicine 4, 129 (2012). are ABP at the level of the cerebral vascu- flow (CBF), arterial blood pressure (ABP), and intracranial pressure (ICP); the collapsed venous segment is lature, CBF at the inlet of a major cerebral also shown. (C) Lumped circuit-model representation of cerebrovascular physiology: CBF q(t), cerebral artery, and ICP. Our lumped model rep- arteriovenous flow q1(t), and ABP pa(t). ICP denotes both extraluminal pressure and the effective resents the relevant physiological mecha- downstream pressure for cerebral perfusion. Disease Classification with Capnography Assessment of brain-heart interaction via ECG variability CHF 50 40 30 20 10 0 0 5 10 15 20 25 30 20 25 30 COPD 50 40 PeCO2 (mmHg) Capnography refers to the non-invasive measurement of the concentration of carbon dioxide exhaled in the breath. Carbon dioxide is a byproduct of tissue metabolism, and its concentration, [CO2], can be measured noninvasively as a function of time www.ScienceTranslationalMedicine.org 11 April 2012 Vol 4 Issue 129 129ra44 2 in exhaled breath. This process is called capnography, and the resultant time series is known as a capnogram. Existing methods for extracting diagnostic information from the capnogram are qualitative, through visual inspection, and therefore imprecise. We are working to quantify the capnogram in order to discriminate among various lung disorders, including obstructive lung disease (e.g. chronic obstructive pulmonary disease) and restrictive lung disease (e.g. congestive heart failure). Our initial results demonstrate the diagnostic potential of capnography. Capnogram Template Detected Exhalations Excluded Exhalations 30 20 10 0 0 5 10 15 Normal 50 40 30 20 10 0 0 Heart rate variability is a measure of how the heart rate varies with the autonomic activity. It is a quantitative way of viewing Waveform strips from normal and abnormal the response of the cardiovascular system to the two major components of the autonomic nervous system: the sympathetic capnograms. Detected exhalations (green) are and parasympathetic activity. Hence it is one of the important non-invasive assessments of the modulation of heart frequency. overlaid with the record’s template exhalation Its dynamics serve as an indicator of how heart rate, respiration, blood pressure and temperature are controlled by the ANS (black) and outlier exhalations are displayed in red. through the brain. We are developing methods to use this variability in order to assess brain-heart interaction. 5 10 15 Time (s) People Pictured (l-r) Principal Investigators: George C. Verghese, Thomas Heldt Graduate Students: Shamim Nemati, Becky Asher, Greg Ciccarelli, Ehi Nosakhare 20 25 30