Orchidea Maria Lecian

Title : New theorems from markov chains model for application to MSM’s in protein folding and further applications

Abstract:

The time evolution of the eigenvalues for the dominant-eigenvalues Markov-States- Models (MSM’s) and the relative errors are analytically calculated.

For this purpose, new theorems form Markov Chains models are presented, from which the pertinent theorem are originated for the MSM’s in the Galerkin description. The expectaions of the path-integral with the appropriate Radon measure is newly analytically calculated in the Markov-Chains models: the pertinent Kernels simplify to the new analytical expressions of the Laplace transforms of the time-evolved eigenvalues; the erors are newly analytically calculated.

The methods apply to protein-folding; further applications are envisaged.

Audience Take Away:

• They will be able to analytically write the time evolution of the eigenvalues of the MSM’s and the relative errors in the Garlenkin description; this methods replace that of numerical simulations
• The audience will learn how to calculate analytically the eigeinvalues of the MSM’s and the analytical calculations of the errors: the method is exact and replaces the numerical-simulation techniques
• Numerical-simulation techniques are prelaced by analytical expressions after the new theorems
• The work is simplified because the probles are solved analytically rather than after numerical simulations
• The design of experiment becomes exact, rather than inferred form the numerical simuations
•  The audience will be able to analytically validate experiments of protein folding, further applications which involve the MSM’s are envisaged

Biography:

Prof. Orchidea Maria Lecian graduated in Theoretical Physics at Sapienza University of Rome and ICRA- International Center for Relativistic Astrophysics in 2005 and completed her International Relativistic Astrophysics Phd at Sapienza University and ICRA. She was post-doctoral Fellow at IHES (Bures-sur-Yvette, France), AEI-MPI (Potsdam-Golm, Germany) and Sapienza University of Rome. She has taken part in intensive research programmes at AEI-MPI (Potsdam-Golm, Germany) and The Fields Institute for Research in Mathematical Sciences (Toronto, Canada). She has been researcher for  SAIA- NS'P (The National Scholarship Programme of the Slovak Republic- National Stipendium Program) as Research grantee and appointed Erasmus Lecturer at Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics, Department of Theoretical Physics and Physics Education- KTFDF.

She has been Assistant Professor at Sapienza University of Rome and is Professor at Sapienza University of Rome. She is wasVisiting Professor at Kursk State University, Chair of Algebra, Geometry and Didactics of Mathematics Theory within the Programme Education in Russia for Foreign Nationals of the Ministry of Science and Higher Education of the Russian Federation in 2022-2023. She has contributed in national conferences and international conferences. She is member of several Research Consortia. She is author of research papers, conference papers, review papers, invited papers and two books. She is reviewer and editorial-board member of several Journals.