42 citations · 88 across the 17 of their papers we have counts for
18 papers
Analysis of a Radiotherapy Model for Brain Tumors
Marina Chugunova, Hangjie Ji, Roman Taranets +1
In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors with radiotherapy influence. Under certain assumptions on the given data in th…
On weak solutions of a control-volume model for liquid films flowing down a fibre
Roman M. Taranets, Hangjie Ji, Marina Chugunova
This paper presents an analytical investigation of the solutions to a control volume model for liquid films flowing down a vertical fibre. The evolution of the free surface is gove…
Qualitative analysis of solutions for a degenerate PDE model of epidemic dynamics
Marina Chugunova, Roman Taranets, Nataliya Vasylyeva
Compartmental models are widely used in mathematical epidemiology to describe dynamics of infection disease. A new SIS-PDE model, recently derived by Chalub and Souza, is based on…
Mathematical Modeling of Microscale Biology: Ion Pairing, Dielectric Decrement, and Born Energy in Glycosaminoglycan Brushes
William Ceely, Marina Chugunova, Ali Nadim +1
Biological macromolecules including nucleic acids, proteins, and glycosaminoglycans are typically anionic and can span domains of up to hundreds of nanometers and even micron lengt…
On travelling wave solutions of a model of a liquid film flowing down a fibre
Hangjie Ji, Roman Taranets, Marina Chugunova
Existence of non-negative weak solutions is shown for a full curvature thin-film model of a liquid thin film flowing down a vertical fibre. The proof is based on the application of…
Thin liquid film resulting from a distributed source on a vertical wall
Yadong Ruan, Ali Nadim, Marina Chugunova
We examine the dynamics of a thin film formed by a distributed liquid source on a vertical solid wall. The model is derived using the lubrication approximation and includes the eff…