Read e-book online Application and Theory of Petri Nets: 33rd International PDF

By Tony Hoare (auth.), Serge Haddad, Lucia Pomello (eds.)

ISBN-10: 3642311318

ISBN-13: 9783642311314

This publication constitutes the refereed complaints of the thirty third foreign convention on purposes and thought of Petri Nets and Concurrency, PETRI NETS 2012, held in Hamburg, Germany, in June 2012. The 18 common papers and three instrument papers awarded have been rigorously reviewed and chosen from fifty five submissions. The publication additionally comprises 2 invited talks. All present concerns on learn and improvement within the zone of Petri nets and comparable versions of concurrent platforms are addressed.

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Read or Download Application and Theory of Petri Nets: 33rd International Conference, PETRI NETS 2012, Hamburg, Germany, June 25-29, 2012. Proceedings PDF

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Extra resources for Application and Theory of Petri Nets: 33rd International Conference, PETRI NETS 2012, Hamburg, Germany, June 25-29, 2012. Proceedings

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2 Modeling the Coalescent Process The general idea behind coalescent hidden Markov models is to approximate the coalescent process by a Markov model along a genomic alignment. Below we first present the coalescence process and then present a CPN model of the coalescence process over two neighboring nucleotides. 1 The Coalescent Process The coalescent process [11] is a statistical model describing the genetic relationship of a sample of genes. The coalescent process assumes that k genes have been sampled in a population, and models how their ancestry (or “genealogy”) could be, providing probabilities to different scenarios of the genes ancestry from which a number of properties of the population can be inferred.

Q3 q7 q6 q4 q5 a q0 q1 q2 Fig. 5. An rl-automaton Let us define the synchronized product. F Definition 10 (Synchronized Product). Let S = (S, →, ≤) be a complete functional transition system, and A = (F, Q, δ, q0 ) be an rl-automaton on the same alphabet F . Define the synchronized product S × A as the ordered functional transition F system (S × Q, →, ≤ ), where F is the collection of all partial maps f δ : (s, q) → (f (s), δ(q, f )), for each f ∈ F such that δ(q, f ) is defined for some q ∈ Q. Let also (s, q) ≤ (s , q ) iff s ≤ s and q = q .

Scanning from left to right along Using Colored Petri Nets to Construct Coalescent Hidden Markov Models 35 {1,2,3,4}-{1,2,3,4} {1,2,3,4} {1,2}-1 2{3,4} {3,4}-{2,3,4} -2 {3,4}-{3,4} {1,2} 1 2 3 4 (a) A coalescence tree over a sample of size 4 1-1 2-2 3-3 4-4 (b) An ancestral recombination graph over a sample of size 4 of sequences of length 2 Fig. 1. A coalescence tree and an ancestral recombination graph. (a) A coalescence tree, where first genes 1 and 2 coalesce into their most recent common ancestor, {1, 2}, then genes 3 and 4 coalesce into their most recent common ancestor {3, 4} and finally all genes coalesce into the grand most recent common ancestor.

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Application and Theory of Petri Nets: 33rd International Conference, PETRI NETS 2012, Hamburg, Germany, June 25-29, 2012. Proceedings by Tony Hoare (auth.), Serge Haddad, Lucia Pomello (eds.)


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