28 citations · 61 across the 9 of their papers we have counts for
9 papers
Safe Bayesian Optimization using Interior-Point Methods -- Applied to Personalized Insulin Dose Guidance
Dinesh Krishnamoorthy, Francis J. Doyle
This paper considers the problem of Bayesian optimization for systems with safety-critical constraints, where both the objective function and the constraints are unknown, but can b…
Automated Insulin Delivery for Type 1 Diabetes Mellitus Patients using Gaussian Process-based Model Predictive Control
Lukas Ortmann, Dawei Shi, Eyal Dassau +3
The human insulin-glucose metabolism is a time-varying process, which is partly caused by the changing insulin sensitivity of the body. This insulin sensitivity follows a circadian…
Gaussian Process-Based Model Predictive Control of Blood Glucose for Patients with Type 1 Diabetes Mellitus
Lukas Ortmann, Dawei Shi, Eyal Dassau +3
The insulin sensitivity (IS) of the human body changes with a circadian rhythm. This adds to the time-varying feature of the glucose metabolism process and places challenges on the…
A Coupled Stochastic Model Explains Differences in Circadian Behavior of Cry1 and Cry2 Knockouts
John H. Abel, Lukas A. Widmer, Peter C. St. John +2
In the mammalian suprachiasmatic nucleus (SCN), a population of noisy cell-autonomous oscillators synchronizes to generate robust circadian rhythms at the organism-level. Within th…
Global Synchronization of Pulse-Coupled Oscillators Interacting on Cycle Graphs
Felipe Núñez, Yongqiang Wang, Francis J. Doyle
The importance of pulse-coupled oscillators (PCOs) in biology and engineering has motivated research to understand basic properties of PCO networks. Despite the large body of work…
Collective oscillation period of inter-coupled biological negative cyclic feedback oscillators
Yongqiang Wang, Yutaka Hori, Shinji Hara +1
A number of biological rhythms originate from networks comprised of multiple cellular oscillators. But analytical results are still lacking on the collective oscillation period of…
Increasing sync rate of pulse-coupled oscillators via phase response function design: theory and application to wireless networks
Yongqiang Wang, Felipe Nunez, Francis J. Doyle
This paper addresses the synchronization rate of weakly connected pulse-coupled oscillators (PCOs). We prove that besides coupling strength, the phase response function is also a d…
Exponential synchronization rate of Kuramoto oscillators in the presence of a pacemaker
Yongqiang Wang, Francis J. Doyle
The exponential synchronization rate is addressed for Kuramoto oscillators in the presence of a pacemaker. When natural frequencies are identical, we prove that synchronization can…
The collective oscillation period of inter-coupled Goodwin oscillators
Yongqiang Wang, Yutaka Hori, Shinji Hara +1
Many biological oscillators are arranged in networks composed of many inter-coupled cellular oscillators. However, results are still lacking on the collective oscillation period of…