71 citations · 328 across the 17 of their papers we have counts for
3 papers · 1 filter
Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop
Antony R. Humphries, Bernd Krauskopf, Stefan Ruschel +1
We study a scalar, first-order delay differential equation (DDE) with instantaneous and state-dependent delayed feedback, which itself may be delayed. The state dependence introduc…
Operon Dynamics with State Dependent Transcription and/or Translation Delays
Tomas Gedeon, Antony R. Humphries, Michael C. Mackey +3
Transcription and translation retrieve and operationalize gene encoded information in cells. These processes are not instantaneous and incur significant delays. In this paper we st…
Numerical methods and hypoexponential approximations for gamma distributed delay differential equations
Tyler Cassidy, Peter Gillich, Antony R. Humphries +1
Gamma distributed delay differential equations (DDEs) arise naturally in many modelling applications. However, appropriate numerical methods for generic Gamma distributed DDEs are…