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math.PR2020
Dynamics of antibody levels: asymptotic properties
Katarzyna Pichór, Ryszard Rudnicki
We study properties of a piecewise deterministic Markov process modeling the changes in concentration of specific antibodies. The evolution of densities of the process is described…
math.PR2018
Applications of stochastic semigroups to cell cycle models
Katarzyna Pichór, Ryszard Rudnicki
We consider a generational and continuous-time two-phase model of the cell cycle. The first model is given by a stochastic operator, and the second by a piecewise deterministic Mar…