Prof. Nikolaos Limnios

University of Technology of Compiègne, France

Nikolaos Limnios, is Full Professor (Exceptional class) at University of Technology of Compiègne (UTC) Sorbonne University, and former Director of the Laboratoty of Applied Mathematics. He has obtained his diploma in 1979 at AUTh Greece, PhD in 1983, and Dr of Sciences (Doctorat d'Etat) in 1991 at UTC France. In 1988 he was appointed assistant professor (Maitre de conferences), and in 1993 a Professor at UTC in the Laboratoty of Applied Mathematics. His research interest include stochastic processes and statistics with applications in biostatistics, in reliability, statistical seismology, stochastic mechanics, etc. He is the Editor-in-Chief of book series “Mathematics and Statistics” in iSTE with J. Wiley and Elsevier. He published more than 150 journal papers and about 15 books on theory and applications of stochastic processes and statistics; amount them the books: Semi-Markov chains and hidden semi-Markov Chains toward applications, Springer, 2008 (with V. S. Barbu); Stochastic Systems in Merging Phase Space, World Scientific, 2005 (with V. S. Koroliuk); Semi-Markov Processes and Reliability, Birkhauser, 2001 (with G. Oprisan).

Speech Title: "Stochastic Modelling of Biological Sequences"

Abstract: Biomolecules have a wide range of sizes and structures and perform a large number of functions. They can be hundreds of thousands of nucleotides, coded by letters, i.e., in the case of DNA we have {A, C, T, G}. In this case, we are interested to find out how many particular ‘words’, i.e., ‘GAATTC’, for ‘EcoRI’ enzyme, can exist in a given sequence, what is the probability distribution of this random number, the average number of letters (nucleotides) between two successive such word in the sequence, etc. In order to answer to the above questions we present models of stochastic sequences of letters via semi-Markov stochastic processes. In order to illustrate the proposed model, we apply it to the bacteriophage DNA sequence.