5 papers
Simulating cell populations with explicit cell cycle length -- implications to cell cycle dependent tumour therapy
Peter Boldog, Gergely Röst
In this study, we present a stochastic simulation model designed to explicitly incorporate cell cycle length, overcoming limitations associated with classical compartmental models.…
Age Group Sensitivity Analysis of Epidemic Models: Investigating the Impact of Contact Matrix Structure
Zsolt Vizi, Evans Kiptoo Korir, Norbert Bogya +3
Understanding the role of different age groups in disease transmission is crucial for designing effective intervention strategies. A key parameter in age-structured epidemic models…
Exact lattice-based stochastic cell culture simulation algorithms incorporating spontaneous and contact-dependent reactions
Peter Boldog
In this paper, we address the modeling issues of cell movement and division with a special focus on the phenomenon of volume exclusion in a lattice-based, exact stochastic simulati…
Propensity matrix method for age dependent stochastic infectious disease models
Péter Boldog, Norbert Bogya, Zsolt Vizi
Mathematical modeling is one of the key factors of the effective control of newly found infectious diseases, such as COVID-19. Our knowledge about the parameters and the course of…
Convergence of solutions in a mean-field model of go-or-grow type with reservation of sites for proliferation and cell cycle delay
Ruth E. Baker, Péter Boldog, Gergely Röst
We consider the mean-field approximation of an individual-based model describing cell motility and proliferation, which incorporates the volume exclusion principle, the go-or-grow…