Noi abordari matematice in biologie, cu aplicatii BIOMAT
Contract de Cercetare in cadrul Programului de Cercetare de Excelenta al ANCS Nr. 2-CEx06-11-18/2006 Octombrie 2006 - Noiembrie 2008	(english version)

Seminarul BIOMAT

Rezultate 2006:

• dezvoltari ale calculului cu membrane, similitudinile sale cu 'brane calculi' si au formulat calculul cu 'spiking neural P systems'. Aceasta directie de cerctare va continua ca una dintre principalele linii de activitate in etapele viitoare.
  
• un model matematic pentru dinamica unei populatii structurata in raport cu varsta, care difuzeaza intr-un habitat heterogen, discontinuu, format din n straturi cu conditii omogene (in acelasi strat) dar diferite de la un strat la altul.
  
• s-au studiat metodele de postdictie in genetica populatiilor de molecule, genomica si proteomica in directia elaborarii unor noi metode teoretice de postdictie.
  
• continua cercetarile pentru ameliorarea sistemului pentru prezicerea celei mai probabile dinamici a alungirii timpului de coagulare la un pacient dat, prin ajustarea unor parametri de variabilitate individuala.
  
• Aplicatia de Monitorizare Pacienti, realizata pentru crearea unei baze de date medicale la Institutul National de Endocrinologie “C.I. Parhon”.

Lucrari Publicate

1. Marcel O. Vlad, J. Ross, Inverse problems for reaction-diffusion systems with application to geographical population genetics, 21 pagini, 2006, lucrare acceptata pentru publicare in 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.

Conferinte publicate in volume de 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

Lucrari in curs de publicare:

1. V. Barbu ,G. Da Prato.M. Roeckner, Stochastic porous media equation and self-organized criticality (trimisa spre publicare la Communications in Math.Physics)
2. Ionescu, D. Sburlan, Some Applications of Spiking Neural P Systems, trimisa spre publicare, 2007.
3. Gh. Paun, Membrane Computing as a Framework for Bio-Modeling (An Informal Glimpse), conferinta invitata la Simpozionul Internaaional Algebraic Biology 2007, organizat? in iulie 2007 la castelul Hagenburg din Austria (cu volum ce va aparea în seria Lecture Notes in Computer Science la Editura Springer).
4. Gabriela Marinoschi, Optimal control of metabolite transport across cell membranes driven by the membrane potential, trimisa spre publicare la 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: , trimisa la publicat.
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, depusa pentru publicare la 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 (va aparea in Rev. Roumaine. Math..Pures Appl.)
10. M. Iosifescu, C. Kraaikamp, Metric properties of Denjoy‘s canonical continued fraction expansion (acceptat la Tokio J. Math.)
11. Paun Gh., Membrane computing and brane calculi. Old, new and future bridges;