New Mathematical Approaches in Biology, with applications BIOMAT
Research Contract within the Excellence Research Programme of ANCS Nr. 2-CEx06-11-18/2006 October 2006 - November 2008	(romanian version)

BIOMAT Seminar

2006 Results:

• developments of membrane calculus, its similarities with 'brane calculi' and formulation of the 'spiking neural P systems'. This research direction will be continued as a main objective of our project.
  
• a mathematical model for the dynamics of an age structured population, difusing in a discontinuous, heterogen habitat, composed of n homogeneous, different strata.
  
• postdiction methods for molecule population genetics have been studied with the aim of obtaining new theoretical postdiction methods.
  
• we have continued to study the possibilities of improving the existing system of prediction of the most probable dynamics of enhancing the coagulation time for a given patient, by tuning some individual parameters.
  
• Application for Patients Monitoring, for a data basis at the National Institute of Endocrinology “C.I. Parhon”.

Published Papers:

1. Marcel O. Vlad, J. Ross, Inverse problems for reaction-diffusion systems with application to geographical population genetics, 21 pagini, 2006, accepted at Advances in Chemical Physics.
2. A. Paun, Gh. Paun: Small universal spiking neural P systems, BioSystems, 90, 1 (2007), 48-60.
3. Gh. Paun: A quick overview of membrane computing with some details about spiking neural P systems, Frontiers of Computer Science in China, 1,1 (2007), 37-49.
4. Gh. Paun: Spiking neural P systems. Power and efficiency, Bio-Inspired Modeling of Cognitive Tasks, Proc. IWINAC 2007 (J. Mira, J.R. Alvarez, eds.), Mar Menor, 2007, LNCS 4527, 153-169.
5. Gh. Paun: Spiking neural P systems with astrocyte-like control, J. Universal Computer Sci., sub tipar.
6. M. Cavaliere, E. Egecioglu, O.H. Ibarra, M. Ionescu, Gh. P?un, S. Woodworth: Asynchronous spiking neural P systems; decidability and undecidability, submitted, 2007.
7. G. Ciobanu, L. Pan, Gh. Paun, M.J. Perez-Jimenez: P systems with minimal parallelism, Theoretical Computer Sci., 378, 1 (2007), 117-130.
8. H. Chen, R. Freund, M. Ionescu, Gh. Paun, M.J. Perez-Jimenez: On string languages generated by spiking neural P systems, Fundamenta Informaticae, 75, 1-4 (2007), 141?162
9. O.H. Ibarra, A. Paun, Gh. Paun, A. Rodriguez-Paton, P. Sosik, S. Woodworth: Normal forms for spiking neural P systems, Theoretical Computer Sci., 372, 2-3 (2007), 196--217.
10. M. Ionescu, Gh. Paun, T. Yokomori: Spiking neural P systems with an exhaustive use of rules, Intern. J. Unconventional Computing, 3, 2 (2007), 135-154
11. M. Ionescu, D. Sburlan, P Systems with Adjoining Controlled Communication Rules, in Fundamentals of Computation Theory, Proc. FCT 2007 (E. Csuhaj-Varju, Z. Esik, eds.), Budapest, LNCS 4639 (2007), 353-364;
12. M. O. Vlad, J. Ross, Inverse problems for reaction-diffusion system with application to geographical population genetics, Advances in Chemical Physics, vol 135 , p 173 (2007).
13. C. Cusulin, M. Iannelli, G. Marinoschi, Convergence in a multi-layer population model with age-structure, Nonlinear Analysis, Real World Applications, 8, 887-902, 2007.
14. G. Panasenko, R. Stavre, Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall, Networks and Heterogeneous Media, 3, 651 -- 673, 2008.

Conferences published in Proceedings

1. M.Ionescu, D.Sburlan, Some Applications of Spiking Neural P Systems, Proceedings of the 8th Workshop on Membrane Computing, 383-394, 2007;
2. M.Ionescu, D.Sburlan, P Systems with Adjoining Controlled Communication Rules, Lecture Notes in Computer Science, 4639 (2007), 353-364; http://dx.doi.org/10.1007/978-3-540-74240-1_31

Preprints:

1. V. Barbu ,G. Da Prato.M. Roeckner, Stochastic porous media equation and self-organized criticality (send to Communications in Math.Physics)
2. Ionescu, D. Sburlan, Some Applications of Spiking Neural P Systems, send to the publisher, 2007.
3. Gh. Paun, Membrane Computing as a Framework for Bio-Modeling (An Informal Glimpse), invited talk at Internaaional Symposion on Algebraic Biology 2007, July 2007 at Hagenburg castle, Austria (the Proceedings will appear in Lecture Notes in Computer Science,a Springer).
4. Gabriela Marinoschi, Optimal control of metabolite transport across cell membranes driven by the membrane potential, send to NONRWA.
5. V. Barbu, Ph. Blanchard, G. Da Prato, M. Roeckner, Self-organized criticality via stochastic partial differential equations (Physical Review Letters)
6. H. D. Cornean, P. Duclos, Gh. Nenciu, R. Purice, Adiabatically switched-on electrical bias in continuous systems, and the Landauer-Buttiker formula, preprint arXiv, sent for publishing.
7. Marcel O. Vlad, Alexandru Dan Corlan, Federico Morán, Peter Oefner and John Ross Statistical mechanical approach to incremental parameter evaluation from incomplete data with application to the population pharmacology of anticoagulants, send for publishing at Proceedings of the National Academy of Sciences USA (PNAS).
8. U.Herkenrath, M. Iosifescu, Existence of invariant probabilities for certain iterated function systems, revisited (Preprint, Univ. Duisburg-Essen, 2007)
9. U.Herkenrath , M. Iosifescu, On a contractivity condition for iterated random function (to appear in Rev. Roumaine. Math..Pures Appl.)
10. M. Iosifescu, C. Kraaikamp, Metric properties of Denjoy‘s canonical continued fraction expansion (accepted at Tokio J. Math.)
11. Paun Gh., Membrane computing and brane calculi. Old, new and future bridges;