Analytical and Stochastic Modeling Techniques and by Bruno Sericola, Telek Miklós, Gábor Horváth PDF

By Bruno Sericola, Telek Miklós, Gábor Horváth

ISBN-10: 3319082183

ISBN-13: 9783319082189

ISBN-10: 3319082191

ISBN-13: 9783319082196

This ebook 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 awarded have been conscientiously reviewed and chosen from 27 submissions. The papers speak about the most recent advancements in analytical, numerical and simulation algorithms for stochastic structures, together with Markov approaches, queueing networks, stochastic Petri nets, approach algebras, video game thought, etc.

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Read or Download Analytical and Stochastic Modeling Techniques and Applications: 21st International Conference, ASMTA 2014, Budapest, Hungary, June 30 – July 2, 2014. Proceedings PDF

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

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Cordero et al. a,b,f). In particular, we set: n+ CSC,1 (l, l ) = 1 + φ(l, l ) (11) n+ CSC,2 (l, l ) = φ(l, l ) (12) n+ P C2 ,3 (l, l (13) (14) ) = φ(l, l ) where φ(l, l ) represents the probability that a subpopulation generated in location l is routed to location l . ⎧ 1 ⎪ ψ(l) if l = l ⎪ ⎪ ⎨ G(l) 1 (15) φ(l, l ) = [1 − ψ(l)] ψ(l ) if l ∈ neigh(l) ⎪ ⎪ G(l) ⎪ ⎩ 0 otherwise with: − k xk (l) α χmax (16) φ(l, l ) = 1 (17) neigh(lij ) = {li j : (i − i )2 + (j − j )2 = 1} (18) ψ(l) = e G(l) : l ∈L ψ(l) is the probability that a location l accepts a cell: it is controlled by a maximum value χmax and it tends to zero if the total number of cells in location l is greater than χmax , or to one if the total population in l is less than χmax .

Plos One 7 (2012) 19. : Applying the principles of stem-cell biology to cancer. Nature Review Cancer 3 (2003) 20. : Understanding cancer stem cell heterogeneity and plasticity. Cell Research 22 (2012) 21. : Cancer stem cell, niche and egfr decide tumor development and treatment response: A bio-computational simulation study. Journal of Theoretical Biology 269, 138–149 (2011) Modelling Interacting Epidemics in Overlapping Populations Marily Nika1 , Dieter Fiems2 , Koen De Turck2 , and William J.

At time T = 20, we only have a high concentration of T C cells and all the other subpopulations are almost negligible. 2e+06 1e+06 800000 600000 400000 200000 0 25 20 5 CSC PC1 PC2 TC 350000 300000 250000 200000 150000 100000 50000 0 29 25 20 5 10 15 15 20 10 25 5 T = 18 20 5 10 15 15 20 10 25 5 T = 19 Fig. 7. Central diffusion We then consider a different initial distribution that resemble the one of a mammosphere [4]. In particular we imagine that there is a nucleus of CSC cells, followed by a ring of P C cells, and finally an outer membrane of T C cells.

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Analytical and Stochastic Modeling Techniques and Applications: 21st International Conference, ASMTA 2014, Budapest, Hungary, June 30 – July 2, 2014. Proceedings by Bruno Sericola, Telek Miklós, Gábor Horváth


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