28 citations · 76 across the 5 of their papers we have counts for
6 papers
A continuation technique for maximum likelihood estimators in biological models
Tyler Cassidy
Estimating model parameters is a crucial step in mathematical modelling and typically involves minimizing the disagreement between model predictions and experimental data. This cal…
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…
Distributed Delay Differential Equation Representations of Cyclic Differential Equations
Tyler Cassidy
Compartmental ordinary differential equation (ODE) models are used extensively in mathematical biology. When transit between compartments occurs at a constant rate, the well-known…
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…
On the Computation of Eigenvalues of the Anharmonic Coulombic Potential
Tyler Cassidy, Philippe Gaudreau, Hassan Safouhi
In this work, we propose a method combining the Sinc collocation method with the double exponential transformation for computing the eigenvalues of the anharmonic Coulombic potenti…