| Περίληψη: | Multiciliogenesis constitutes an important biological process in which progenitor cells
differentiate into multiciliated cells (MCCs). These cells are located in various biological
systems, performing important biological functions such as: ensuring the circulation of
cerebrospinal fluid in CNS (Central Nervous System), removing extraneous pollutants
from the respiratory tract, transporting gametic cells during fertilization and many others.
The aim of this diploma thesis is to study multiciliogenesis at the level of protein
interactions. We examine whether our designed mathematical model is capable enough
of describing the behavior of the proteins we have chosen as key factors of this biological
phenomenon. More specifically, our mathematical model consists of ordinary differential
equations (ODEs), each one expresses the rate of change in the concentration of one of the
regulatory proteins: Geminin, Lynkeas, McIdas. For the parameter estimation of the
model, we use experimental data and a calculated estimator as a comparison
measurement. The results of the simulations we run, show that the designed for Geminin
equation verifies with great precision qualitatively and quantitatively its behavior, as it is
presented on the experimental data. On the other hand, the designed system of
Lynkeas/McIdas equations, while qualitatively seems to follow the behavior seen in the
experimental data, failed to quantitatively describe the experimental data. In this work,
we decide to examine the simplest form of this mathematical model, where in the system
of Lynkeas/McIdas equations, we integrate the negative effect of McIdas to Lynkeas in the
simplest form. More complex forms of equations may describe more precisely the
behavior of these proteins in the biological phenomenon under study.
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