3 citations · 3 across the 8 of their papers we have counts for
9 papers
From primary HPV infection to carcinoma in situ: a mathematical approach of cervical intraepithelial neoplasia
Vasiliki Bitsouni, Nikolaos Gialelis, Ioannis G. Stratis +1
Cervical intraepithelial neoplasia (CIN) is the development of abnormal cells on the surface of the cervix, caused by a human papillomavirus (HPV) infection. Although in most of th…
A novel comparison framework for epidemiological strategies applied to age-based restrictions versus horizontal lockdowns
Vasiliki Bitsouni, Nikolaos Gialelis, Vasilis Tsilidis
During an epidemic, such as the COVID-19 pandemic, policy-makers are faced with the decision of implementing effective, yet socioeconomically costly intervention strategies, such a…
An age-structured SVEAIR epidemiological model
Vasiliki Bitsouni, Nikolaos Gialelis, Vasilis Tsilidis
In this paper, we introduce and study an age-structured epidemiological compartment model and its respective problem, applied but not limited to the COVID-19 pandemic, in order to…
Generalized fraction rules for monotonicity with higher antiderivatives and derivatives
Vasiliki Bitsouni, Nikolaos Gialelis, Dan-Stefan Marinescu
We first introduce the generic versions of the fraction rules for monotonicity, i.e. the one that involves integrals known as the Gromov theorem and the other that involves derivat…
An inequality for completely monotone functions
Vasiliki Bitsouni, Nikolaos Gialelis, Dan-Stefan Marinescu
An inequality, which combines the concept of completely monotone functions with the theory of divided differences, is proposed. It is a straightforward generalization of a result,…
A note on the multivariate generalization of a basic simple inequality
Vasiliki Bitsouni, Nikolaos Gialelis
We introduce the multivariate analogue of the well known inequality , for an abstract non negative real number . The result emerges from the study of the b…
A mathematical study of the role of tBregs in breast cancer
Vasiliki Bitsouni, Nikolaos Gialelis, Vasilis Tsilidis
A model for the mathematical study of immune response to breast cancer is proposed and studied, both analytically and numerically. It is a simplification of a complex one, recently…
On the quasi-steady-state assumption in enzyme kinetics: rigorous analysis
Vasiliki Bitsouni, Nikolaos Gialelis, Ioannis G. Stratis
We study, from a purely quantitative point of view, the quasi-steady-state assumption for the fundamental mathematical model of the general enzymatic reaction: we re-establish, on…
A model for the outbreak of COVID-19: Vaccine effectiveness in a case study of Italy
Vasiliki Bitsouni, Nikolaos Gialelis, Ioannis G. Stratis
We present a compartmental mathematical model with demography for the spread of the COVID-19 disease, considering also asymptomatic infectious individuals. We compute the basic rep…