52 citations · 152 across the 22 of their papers we have counts for
23 papers
Ghost Dynamics in Receptor Signalling Networks: A Fast--Slow Adaptive Extension of Competitive Cancer Inhibition Models
G Manjunath, Roumen Anguelov
Receptor occupancy models quantify inhibition of cancer signalling, often treating target occupancy as a proxy for downstream activity. Although this simplification yields low-dime…
Quantifying antiproliferative effects of quinolinic acid on melanoma, macrophage and keratinocyte cells using a parametric cell-viability model
Roumen Anguelov, Charlise Basson, Yvette N. Hlophe +4
This paper presents a robust mathematical framework for quantifying antiproliferative effects from noisy in vitro cell viability experiments. The methodology is demonstrated using…
A Mathematical Model of the Cell Cycle: Exploring the Impact of Zingerone on Cancer Cell Proliferation
Roumen Anguelov, Micaela Goddard, Yvette Hlophe +2
This paper presents a mathematical model that explores the interactions between Cyclin-Dependent Kinase 1 (CDK1) and the Anaphase-Promoting Complex (APC) in cancer cells. Through t…
Stationary states of aggregation-diffusion equations with compactly supported attraction kernels: radial symmetry and mass-independent boundedness
Roumen Anguelov, Chelsea Bright
We consider a nonlocal aggregation diffusion equation incorporating repulsion modelled by nonlinear diffusion and attraction modelled by nonlocal interaction. When the attractive i…
Second-order nonstandard finite difference schemes for a class of models in bioscience
Roumen Anguelov, Jean Lubuma
We consider a dynamical system, defined by a system of autonomous differential equations, on . By using Mickens' rule on the nonlocal approximation of nonline…
Quantifying assays: A Modeling tale of variability in cancer therapeutics assessed on cancer cells
Roumen Anguelov, G Manjunath, Avulundiah E Phiri +4
Inhibiting a signalling pathway concerns controlling the cellular processes of a cancer cell's viability, cell division, and death. Assay protocols created to see if the molecular…