71 citations · 155 across the 4 of their papers we have counts for
4 papers
A Recipe for State Dependent Distributed Delay Differential Equations
Tyler Cassidy, Morgan Craig, Antony R. Humphries
We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation. We show that…
Transit and lifespan in neutrophil production: implications for drug intervention
Daniel Camara De Souza, Morgan Craig, Tyler Cassidy +4
We compare and contrast the transit compartment ordinary differential equation modelling approach with distributed and discrete delay differential equation models. We focus on Quar…
Normal and pathological dynamics of platelets in humans
Gabriel P. Langlois, Morgan Craig, Antony R. Humphries +6
We develop a comprehensive mathematical model of platelet, megakaryocyte, and thrombopoietin dynamics in humans. We show that there is a single stationary solution that can undergo…
A mathematical model of granulopoiesis incorporating the negative feedback dynamics and kinetics of G-CSF/neutrophil binding and internalisation
Morgan Craig, Antony R Humphries, Michael C Mackey
We develop a physiological model of granulopoiesis which includes explicit modelling of the kinetics of the cytokine granulocyte colony-stimulating factor (G-CSF) incorporating bot…