@article{gilmore_hart_geddes_olsen_mehlsen_gremaud_olufsen_2021, title={Classification of orthostatic intolerance through data analytics}, volume={59}, ISSN={["1741-0444"]}, DOI={10.1007/s11517-021-02314-0}, abstractNote={Imbalance in the autonomic nervous system can lead to orthostatic intolerance manifested by dizziness, lightheadedness, and a sudden loss of consciousness (syncope); these are common conditions, but they are challenging to diagnose correctly. Uncertainties about the triggering mechanisms and the underlying pathophysiology have led to variations in their classification. This study uses machine learning to categorize patients with orthostatic intolerance. We use random forest classification trees to identify a small number of markers in blood pressure, and heart rate time-series data measured during head-up tilt to (a) distinguish patients with a single pathology and (b) examine data from patients with a mixed pathophysiology. Next, we use Kmeans to cluster the markers representing the time-series data. We apply the proposed method analyzing clinical data from 186 subjects identified as control or suffering from one of four conditions: postural orthostatic tachycardia (POTS), cardioinhibition, vasodepression, and mixed cardioinhibition and vasodepression. Classification results confirm the use of supervised machine learning. We were able to categorize more than 95% of patients with a single condition and were able to subgroup all patients with mixed cardioinhibitory and vasodepressor syncope. Clustering results confirm the disease groups and identify two distinct subgroups within the control and mixed groups. The proposed study demonstrates how to use machine learning to discover structure in blood pressure and heart rate time-series data. The methodology is used in classification of patients with orthostatic intolerance. Diagnosing orthostatic intolerance is challenging, and full characterization of the pathophysiological mechanisms remains a topic of ongoing research. This study provides a step toward leveraging machine learning to assist clinicians and researchers in addressing these challenges.}, number={3}, journal={MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING}, author={Gilmore, Steven and Hart, Joseph and Geddes, Justen and Olsen, Christian H. and Mehlsen, Jesper and Gremaud, Pierre and Olufsen, Mette S.}, year={2021}, month={Mar}, pages={621–632} }
 @article{gilmore_nguyen_2021, title={SBV regularity for Burgers-Poisson equation}, volume={500}, ISSN={["1096-0813"]}, DOI={10.1016/j.jmaa.2021.125095}, abstractNote={The SBV regularity of weak entropy solutions to the Burgers-Poisson equation for initial data in L1(R) is considered. We show that the derivative of a solution consists of only the absolutely continuous part and the jump part.}, number={1}, journal={JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, author={Gilmore, Steven and Nguyen, Khai T.}, year={2021}, month={Aug} }