Can age-based restrictions replace horizontal lockdowns?
A novel epidemiological age-structured model and a scheme for comparing different epidemiological strategies are introduced, and applied to COVID-19 as a means of comparing horizontal to age-based lockdowns.
Jul 25, 2024
A novel comparison framework for epidemiological strategies applied to age-based restrictions versus horizontal lockdowns
We introduce a scheme for the comparison of epidemiological strategies and employ it to investigate how age-based restrictions would fare against horizontal lockdowns during the COVID-19 pandemic.
Jun 1, 2024
From primary HPV infection to carcinoma in situ: a mathematical approach to cervical intraepithelial neoplasia
We construct a model about the transition from an HPV infection to CIN and numerically investigate it in order to illuminate how this transition is affected by the geometry of the cervix, the strength of the immune response, and the frequency of viral exposure.
May 1, 2024
An age-structured SVEAIR epidemiological model
We introduce an age-structured epidemiological compartment model and we analytically investigate its well-posedness and global stability.
Apr 1, 2024
Mathematical modeling of immune response in breast cancer: the effect of tBregs and rituximab
Two novel models examining the way breast cancer interacts with immune cells.
Sep 6, 2022
A mathematical study of the role of tBregs in breast cancer
We analytically investigate the role of tBregs in breast cancer progression.
Sep 1, 2022
Mathematical models of immune response in cancer
An introduction to cancer and immune system modeling using Ordinary Differential Equations.
Feb 27, 2022
Mathematical modeling of tumor-immune system interactions: the effect of rituximab on breast cancer immune response
We analytically investigate the role of tBregs in breast cancer progression. We model the way NK cells lyse breast cancer cells. We test rituximab as a potential breast cancer cure.
Jan 5, 2022