By Bruno Sericola, Telek Miklós, Gábor Horváth

This e-book constitutes the refereed complaints of the twenty first overseas convention on Analytical and Stochastic Modelling thoughts and purposes, ASMTA 2014, held in Budapest, Hungary, in June/July 2014. The 18 papers offered have been rigorously reviewed and chosen from 27 submissions. The papers talk about the most recent advancements in analytical, numerical and simulation algorithms for stochastic structures, together with Markov techniques, queueing networks, stochastic Petri nets, strategy algebras, video game thought, etc.

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Extra resources for Analytical and Stochastic Modeling Techniques and Applications: 21st International Conference, ASMTA 2014, Budapest, Hungary, June 30 – July 2, 2014. Proceedings

Example text

More precisely, in accordance with the CSC theory, several factors are responsible for the CSC variation [20]. Firstly, they can self-renew either symmetrically (Psy ωCSC ), or asymmetrically ((1 − Psy )ωCSC ). Then, a furhter progression mode - called differentiation (λ1 ) or CSC commitment - can also occur contributing to give rise to the multipotent progenitor cell subpopulation. PCs, on turn, evolve through two stages: the first one, P C1 , able to proliferate (ωCSC ) and differentiate (λ2 ) giving rise to the second stage, P C2 .

2 0 0 20 40 60 80 100 time Fig. 5. Counter-syndemic effects on the evolution of epidemics e1 and e2 Modelling Interacting Epidemics in Overlapping Populations 43 Case study 3: The Impact of Counter-Syndemic Effects. Fig. 5 shows the impact of counter-syndemic effects. We consider three cases. 4 and Δ2 = 0, an individual infected by the second epidemic is immune to the first epidemic. 4 and Δ1 = 0, an individual infected by the first epidemic is immune to the second epidemic. 4, immunity works both ways.

Therefore, the DC subpopulation increases as a result of the death of the viable cell species, but it decreases due to cell lysis (δ4 ). A schematic representation of the described subpopulation dynamics is shown in Figure 4, where the hierarchical organization of CSC-based tumors is highlighted too. Specifically, Figure 4 shows how subpopulations differ considering their differentiation degree and their proliferative potential. Differentiation is highest in TCs - which are completely differentiated - and, conversely, proliferation potential is highest in CSCs, which can divide either symmetrically or asymmetrically.

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