Oncolytic virotherapies, including the modified herpes simplex virus talimogene laherparepvec
(T-VEC), have shown great promise as potent instigators of anti-tumour immune effects. …

Compartmental ordinary differential equation (ODE) models are used extensively in mathematical
biology. When transit between compartments occurs at a constant rate, the well-known …

We develop and analyse a mathematical model of tumour–immune interaction that explicitly
incorporates heterogeneity in tumour cell cycle duration by using a distributed delay …

Human immunodeficiency virus (HIV)-1-specific broadly neutralizing monoclonal antibodies
are currently under development to treat and prevent HIV-1 infection. We performed a single-…

Considerable effort has been made to better understand why some people suffer from severe
COVID-19 while others remain asymptomatic. This has led to important clinical findings; …

Original research: In silico trials predict that combination strategies for enhancing vesicular
stomatitis oncolytic virus are determined by tumor aggressivity - PMC Back to Top Skip to …

Estimating model parameters is a crucial step in mathematical modelling and typically
involves minimizing the disagreement between model predictions and experimental data. This …

Intra-tumour heterogeneity is a leading cause of treatment failure and disease progression
in cancer. While genetic mutations have long been accepted as a primary mechanism of …

A comparison of the transit compartment ordinary differential equation modelling approach
to distributed and discrete delay differential equation models is studied by focusing on …

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 the …