System Science Ph.D. Program Oregon Health & Science Univ. Complex Systems Laboratory 1 Estimation of Subject Specific ICP Dynamic Models Using Prospective Clinical Data Biomedicine 2005, Bologna, Italy W. Wakeland 1,2, J. Fusion 1, B. Goldstein 3 1 Systems Science Ph.D. Program, Portland State University, Portland, Oregon, USA 2 Biomedical Signal Processing Laboratory, Department of Electrical and Computer Engineering, Portland State University, Portland, Oregon, USA 3 Complex Systems Laboratory, Doernbecher Children’s Hospital, Division of Pediatric Critical Care, Oregon Health & Science University, Portland, Oregon, USA This work was supported in part by the Thrasher Research Fund

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 2 Aim To develop tools for improving care of children with severe traumatic brain injury (TBI)  Help improve diagnosis and treatment of elevated intracranial pressure (ICP)  Improve long-term outcome following severe TBI One potential approach:  Create subject-specific computer models of ICP dynamics  Use models to evaluate therapeutic options

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 3 Motivation TBI is the leading cause of death and disability in children  150,000 pediatric brain injuries  7,000 deaths annually (50% of all childhood deaths)  29,000 children with new, permanent disabilities Death rate for severe TBI (defined as a Glasgow Coma Scale score < 8) remains between 30%- 45% at major children's hospitals A recently published evidence-based medicine review reports that elevated ICP is a primary determinant of outcome following TBI

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 4 Background: Intracranial Pressure (ICP) TBI often causes ICP to increase  Frequently due, at least initially, to internal bleeding (hematoma)  Elevated ICP is defined as > 20 mmHg Persistent elevated ICP  reduced blood flow  insufficient tissue perfusion (ischemia)  secondary injury  poor outcome Poor outcomes often occur despite the availability of many treatment options  The pathophysiology is complex and only partially understood

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 5 Background: Treatment Options Treatment options include, among many others:  Draining cerebral spinal fluid (CSF) via a ventriculostomy catheter  Raising the head-of-bed (HOB) elevation to 30  to promote jugular venous drainage  Inducing mild hyperventilation

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 6 Background: ICP Dynamic Modeling Many computer models of ICP have been developed over the past 30 years  Models have sophisticated logic (differential eqns.)  Potentially very helpful in a clinical setting However, clinical impact of models has been minimal  Complex models are difficult to understand and use Another issue is that clinical data often lack the annotations needed to facilitate modeling  Exact timing for medications, CSF drainage, ventilator adjustments, etc.

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 7 Method: Research Approach Use an experiment protocol (next slide) to collect prospective clinical data  Physiologic signals recorded continuously  electrocardiogram, respiration, arterial blood pressure, ICP, oxygen saturation  Plus annotations to indicate the precise timing of therapies and physiologic challenges Use collected data to create subject-specific computer models of ICP dynamics Use subject-specific models to predict patient response to treatment and challenges

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 8 Method: Experimental Protocol Mild physiologic challenges  Applied over multiple iterations to three subjects with severe traumatic brain injury Change the angle of the head of the bed (HOB)  Randomly assigned, between 0º and 40º, in 10º increments, for 10 minute intervals Change minute ventilation (or respiration rate, RR)  Clinician adjusts RR to achieve specified ETCO 2 target from [-3 to -4] mmHg to [+3 to +4] mmHg from baseline

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 9 Method: Model Estimation Nonlinear Optimizing Algorithm Initial Parameters ICP Dynamic Model Estimated Parameters HOB and RR Challenges Error Computation Predicted ICP Measured ICP Error

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 10 Method: Simulink ICP Dynamic Model

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 11 Method: Model, Core Logic The timing for physiologic challenges is a key input to the model The state variables are the volumes of each fluid compartment Key feedback loops  Volume  pressure  flow  volume  ∑ (volumes)  ICP  pressures  flows  ∑ (volumes) Autoregulation is modeled by changing arterial- to-capillary flow resistance [only]

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 12 Method: Model, Impact of Challenges Impact of RR on ICP intracranial arterial pressure ↓ intracranial venous pressure ↓ ↑ө↑ө ICP ↓ Impact of HOB angle ( ө ) on ICP ICP ↓ arterial blood volume ↓ ↑ RR PaCO 2 ↓ indicated blood flow ↓ arterial-to-capillary flow ↓ capillary resistance ↑

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 13 Method: Parameters Estimated Autoregulation factor Basal cranial volume CSF drainage rate Hematoma increase rate  pressure time constant ETCO 2 time constant Smooth muscle “gain constant” Systemic venous pressure

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 14 Results: Patient 1, Session 4. A series of changes to HOB elevation and RR

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 15 Results: Patient 2, Session 1. A series of changes to HOB elevation

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 16 Results: Patient 2, Session 4. A series of changes to RR

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 17 Results: Patient 2, Session 7. A series of changes to HOB elevation and RR

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 18 Results: Summary

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 19 Discussion: Model vs. Actual Response Model response to HOB changes was very similar to actual response (error < 1 mmHg) Response to RR changes did not fully reflect the patient’s actual response in all cases  Error > 2 mmHg in many cases  Revealed several model deficiencies  Lack of systemic adaptation  Does not capture interaction affects  Incorrect response to RR changes

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 20 Discussion: Model Deficiencies Systemic adaptation (make change; return to baseline)  P2S7: When HOB moved from 30º to 0º; then back to 30º, the ending in vivo ICP was lower than its starting point  In the model, ICP returned to its original value Interaction of interventions  ICP impact depended on whether the interventions were temporally clustered or dispersed  Model did not capture these differences Incorrect model response to RR changes  Changes in smooth muscle tone in the model affect the arterial-to-capillary blood flow resistance, but not [directly] the arterial volume

Oregon Health & Science Univ. Complex Systems Laboratory System Science Ph.D. Program 21 Discussion: Summary Model of ICP dynamics was calibrated to replicate the ICP recorded from specifics patient during an experimental protocol Results demonstrated the potential for using clinically annotated prospective data to create subject-specific computer simulation models Future research will focus on improving the logic for cerebral autoregulatory mechanisms and physiologic adaptation