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	Home News Administration Structure Achievements Publications ICMBB Home Page History Downloads Links Contacts	Published and accepted papers T. Luzyanina and G. Bocharov Critical issues in the numerical treatment of the parameter estimation problems in immunology J.of Computational Mathematics, vol. 30, N 1, p. 59-79, 2012 G. Bocharov, J. Quiel, T. Luzyanina, H. Alon, E. Chiglintsev, V. Chereshnev, M. Meier-Schellersheim, W. E. Paul and Z. Grossman Feedback regulation of proliferation vs. differentiation rates explains the dependence of CD4 T-cell expansion on precursor number PNAS, v. 108, N 8, p.3318-3323, 2011 G. Bocharov, R. Zust, L. Cervantes-Barragan, T. Luzyanina, E. Chiglintsev, V.A. Chereshnev, V. Thiel, B. Ludewig A systems immunology approach to plasmacytoid dendritic cell function in cytopathic virus infections PLoS Pathogens, v. 6, N 7: \\ e1001017. doi:10.1371/journal.ppat.1001017, 2010 T. Luzyanina, D. Roose and G. Bocharov Distributed parameter identification for a label-structured cell population dynamics model using CFSE histogram time-series data J. of Mathematical Biology, Vol. 59, number 5, p. 581-603, 2009 G. Bocharov, T. Luzyanina and D. Roose Mathematical technologies for the analysis of cell proliferation using flow cytometry data Russian Journal Immunology, Vol. 3(12), number 1, p. 13-22, 2009 (in Russian) K. Verheyden, T. Luzyanina and D. Roose Efficient computation of characteristic roots of delay differential equations using LMS methods J. of Computational and Applied Mathematics, Vol. 214, number 1, p. 209-226, 2008 Abstract T. Luzyanina, D. Roose, T. Schenkel, M. Sester, S. Ehl, A. Meyerhans and G. Bocharov Numerical modelling of label-structured cell population growth using CFSE distribution data Theoretical Biology and Medical Modelling, Vol. 4, p. 26-39, 2007 Paper T. Luzyanina, S. Mrusek, J. T. Edward, D. Roose, S. Ehl and G.Bocharov Computational analysis of CFSE proliferation assay J. of Mathematical Biology, Vol. 54, number 1, p. 57-89, 2007 Abstract T. Luzyanina and D. Roose Periodic solutions of differential algebraic equations with time delays: computation and stability analysis Int. J. of Bifurcation and Chaos, Vol. 16, number 1, p. 67-84, 2006 Abstract T. Luzyanina, D. Roose and G. Bocharov Numerical bifurcation analysis of immunological models with time delays J. of Computational and Applied Mathematics, invited paper for a special issue "Mathematics applied to immunology", Vol. 184, number 1, p. 165-176, 2005 Abstract T. Luzyanina, D. Roose and K. Engelborghs Numerical stability analysis of steady state solutions of integral equations with distributed delays Applied Numerical Mathematics, Vol. 50, number 1, p. 75-92, 2004 Abstract G. Bocharov, B. Ludevig, A. Bertoletti, P. Klenerman, T. Junt, P. Krebs, T. Luzyanina, C. Fraser and R. M. Anderson Underwhelming the immune response: effect of slow virus growth rates on CD8+ T lymphocytes responses J. of Virology, Vol. 78, number 5, p. 2247-2254, 2004 Abstract T. Luzyanina and D. Roose Equations with distributed delays: bifurcation analysis using computational tools for discrete delay equations Special Issue of Functional Differential Equations, dedicated to the 60th birthday of Professor Istvan Gyori, Vol. 11, number 1-2, p. 87-92, 2004 T. Luzyanina, K. Engelborghs and D. Roose Computing stability of differential equations with bounded distributed delays Numerical Algorithms, Vol. 34, number 1, p. 41-66, 2003 Abstract T. Luzyanina, K. Engelborghs Computing Floquet multipliers for functional differential equations Int. J. of Bifurcation and Chaos, Vol. 12, number 12, p. 2977-2989, 2002 Abstract K. Engelborghs, T. Luzyanina, D. Roose Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL ACM Transactions on Mathematical Software, Vol. 28, number 1, p. 1-21, 2002 Abstract T. Luzyanina, K. Engelborghs, S. Ehl, P. Klenerman, G. Bocharov Low level viral persistence after infection with LCMV: a quantitative insight through numerical bifurcation analysis Mathematical Biosciences, Vol. 173, number 1, p. 1-23, 2001 Abstract T. Luzyanina, K. Engelborghs, D. Roose Numerical bifurcation analysis of differential equations with state-dependent delay International Journal of Bifurcation and Chaos, Vol. 11, number 3, p. 737-753, 2001 Abstract D. Pieroux, T. Erneux, T. Luzyanina and K. Engelborghs Interacting pairs of periodic solutions lead to tori in lasers subject to delayed feedback Physical Review E, Vol. 63, number 3, p. 036211-1--036211-11, 2001 K. Engelborghs, T. Luzyanina, D. Roose Numerical bifurcation analysis of delay differential equations J. Comput. Appl. Math., Vol. 125, number 1-2, p. 265-275, 2000 Abstract K. Engelborghs, T. Luzyanina, K.J. in 't Hout, D. Roose Collocation methods for the computation of periodic solutions of delay differential equations SIAM J. on Scientific Computing, Vol. 22, number 5, p. 1593-1609, 2000 Abstract K. Engelborghs, D. Roose, T. Luzyanina Bifurcation analysis of periodic solutions of neutral functional differential equations: a case study International Journal of Bifurcation and Chaos, Vol. 8, number 10, p. 1889-1905, 1998 Abstract T. Luzyanina, K. Engelborghs, K. Lust, D. Roose Computation, continuation and bifurcation analysis of periodic solutions of delay differential equations International Journal of Bifurcation and Chaos, Vol. 7, number 11, p. 2547-2560, 1997 Abstract T. Luzyanina, D. Roose Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations J. of Computational and Applied Mathematics, Vol. 72, p. 379-392, 1996 T. Luzyanina Synchronization in an oscillator neural network model with time delayed coupling Network: Computation in Neural Systems, Vol. 6, p. 43-59, 1995 T. Luzyanina Synchronization in a neural network of phase oscillators with time delayed coupling Radiofizika, Vol. 37, p. 945-960, 1995 (in Russian) G. N. Borisyuk, R. M. Borisyuk, Ya. B. Kazanovich, T. B. Luzyanina, T. S. Turova, G. S. Cymbalyuk Oscillatory neural networks. Mathematics and applications Mathematical Modelling, Vol. 4, p. 3-43, 1992 (in Russian) Ya. B. Kazanovich, V. I. Kryukov, T. B.Luzyanina Synchronization via phase locking in oscillatory models of neural networks In Neurocomputers and Attention 1:Neurobiology, Synchronisation and chaos, eds. A. V. Holden, V. I. Kryukov Manchester University Press, p. 269-284, 1991 Yu. D. Lobsanov, A. G. Urzhumtsev, V. Yu. Lunin, T. B.Luzyanina et al. X-Ray study of the pea lectin-carbohydrate complex at 2.4 A resolution. 1. Atomic model Bioorganical chemistry, Vol. 16, p. 1589-1598, 1990 (in Russian) A. G. Urzhumtsev, V. Yu. Lunin, T. B. Luzyanina Bounding a molecule in a noisy synthesis Acta Crystallographic, A45, p. 34-39, 1989 T. B. Luzyanina, V. M. Paskonov Numerical investigation of the axisymmetric viscous gas flows in near-wake of bodies with complex boattail geometry Proceedings of the Academy of Sciences of the USSR. Series Fluid and Gas Mechanics, Vol. 2, p. 31-37, 1987 (in Russian) T. B. Luzyanina, V. M. Paskonov Afterbody configuration effect on the near-wake structure for hypersonic flows of viscous gas In Program Library on aerodynamics. Methods and Algorithms , The Moscow State University, p. 3-17, 1984 (in Russian) Parts of books G. Bocharov, T. Luzyanina, D. Roose, H. Alon, M. Meier-Schellersheim and Z. Grossman Mathematical models and parameter estimation for heterogeneous cell population dynamics Mathematical Biology Research Trends (ed. L. B. Wilson), Nova Science Publishers Inc, Hauppage NY, 2008. In press K. Verheyden, T. Luzyanina and D. Roose Efficient and reliable stability analysis of solutions of delay differential equations Transactions of Nonlinear Science and Complexity (eds A.C.J.Luo and G.Zaslavsky) Vol. 1 of Nonlinear Science and Complexity (Luo, A.C.J., Dai, L., Hamidzadeh, H.R., eds.), p. 109-120, World Scientific, Hackensack, NJ D. Roose, T. Luzyanina, K. Engelborghs and W. Michiels Software for stability and bifurcation analysis of delay differential equations and applications to stabilization Advances in Time-Delay Systems, (Niculescu, S.-I. and Gu, K., eds.), vol. 38, Lecture Notes in Computational Science and Engineering, Springer Verlag, 2004, pp.167-182 S.-I. Niculescu, W. Michiels, D. Melchor-Aguillar, T. Luzyanina, F. Mazenc, K. Gu, F. Chatte Delay effects on the asymptotic stability of various fluid models in high performance networks Advances in Communication Control Networks, (S. Tarbouriech, C. Abdallah and J. Chiasson, eds.), vol. 308, Lecture Notes in Control and Information Sciences (Eds: M. Thoma - M. Morari), Springer Verlag Berlin Heidelberg, 2005, pp. 87-110 Publications in proceedings T. Luzyanina and D. Roose Numerical local stability analysis of differential algebraic equations with time delays Preprints of the Fifth IFAC Workshop on Time-Delay Systems, eds. W. Michiels and D. Roose, 6 p., September 8-10, 2004, Katholieke Universiteit Leuven, Belgium T. Luzyanina, D. Roose Approximation of the characteristic roots of integral equations with distributed delays Equadiff-2003. International conference on differential equations. Hasselt, Belgium. Eds. J. Mawhin, S. Verduyn Lunel. World Scientific Publishing. 2003. Accepted. D. Roose, T. Luzyanina, K. Engelborghs, W. Michiels Software for stability and bifurcation analysis of delay differential equations and applications to stabilization. Proceedings of the joint CNRS-NSF Workshop: Advances in control of time-delay systems.(Niculescu, S.-I. and Gu, K., eds.), p. 1-6, 2003 K. Engelborghs, T. Luzyanina, D. Roose DDE-BIFTOOL, Software for Bifurcation Analysis of Delay Differential Equations: Functionality and Applications HERCMA Proceedings 2001, ed. E. Lipitakis, vol. 1, p. 123-129, 2002 D. Pieroux, T. Erneux, B. Haegeman, T. Luzyanina, K. Engelborghs, D. Roose Bifurcation connection between external cavity modes in a semiconductor laser exhibiting low frequency fluctuations IQEC2000 CLEO/Europe-IQEC2000, Nice, France, 10-15 September, 2000 T. Luzyanina, K. Engelborghs, D. Roose Numerical stability and bifurcation analysis of delay differential equations BAMC 2000 British Applied Mathematics Colloquium, Manchester, Book of abstracts, p. 51, 2000 K. Engelborghs, T. Luzyanina, D. Roose On the bifurcation analysis of a delay differential equation using DDE-BIFTOOL Proceedings of 16th IMACS World Congress, Lausanne, Switzerland, Eds. M. Deville, R. Owena. 6 p. 173-4.pdf, 2000 T. Luzyanina, K. Engelborghs, D. Roose Differential equations with state-dependent delay: numerical study Proceedings of 16th IMACS World Congress, Lausanne, Switzerland, Eds. M. Deville, R. Owena. 6 p. 173-5.pdf, 2000 K. Engelborghs, T. Luzyanina, D. Roose On numerical methods for bifurcation analysis of delay differential equations Equadiff-99. International conference on differential equations. Berlin, Germany. Eds. B. Fiedler, K. Groger, J. Sprekels, World Scientific, v. 2, p. 887-892, 1999 T. Luzyanina, K. Engelborghs, D. Roose Some collocation results on computing periodic solutions of delay differential equations Equadiff-99. International conference on differential equations. World Scientific, v. 1, p. 273-275, 1999 Berlin, Germany. Eds. B. Fiedler, K. Groger, J. Sprekels, T. B. Luzyanina, G. Morgavi Time series prediction by using an oscillator neural network model with time-delayed coupling Proceedings of IASTED International Conference Modelling and Simulation, Colombo, Sri Lanka. Eds. C. W. de Silva and M. H. Hamza, p. 205-208, 1995 T. B. Luzyanina Synchronization in a neural network of phase oscillators with time delayed coupling Proceedings of the European Symposium on Artificial Neural Networks, Brussels, Belgium, April, 20-22, p. 129-134, 1994 T. B. Luzyanina Synchronization in a neural network model with time delayed coupling Proceedings of the Twelfth European Meeting on Cybernetics and Systems Research, ed. R. Trappl, Vienna, Austria, p. 1673-1679, 1994 Ya. B. Kazanovich, V. I. Kryukov, T. B. Luzyanina A synchronized oscillatory system explains an attention and LTP induced learning deficits In Network on neural mechanisms of learning and memory. Open network conference. London, p. 4-5, 1990 Ya. B. Kazanovich, V. I. Kryukov, T. B. Luzyanina Synchronization due to phase locking in oscillatory models of neural networks Proceedings of the International Symposium on neural network and neural computing. Neuronet 90, Prague, p. 209-210, 1990 Ya. B. Kazanovich, V. I. Kryukov, T. B. Luzyanina Self-entrainment in oscillator models of neural networks International Workshop "Neurocomputers and Attention", Moscow, p. 48-49, 1989 A. G. Urzhumtsev, V. Yu. Lunin, T. B. Luzyanina Macromolecular position determination with a noisy synthesis at low resolution Tenth European Crystallographic Meeting, Wroclaw, Poland, 1A-01, p. 51-52, 1986 O. N. Belova, N. S. Kokoshinskaya, T. B. Luzyanina, V. M. Paskonov Hypersonic viscous gas flows over complex finite-dimensional bodies: modelling and results of numerical experiments Proceedings on the dynamics of viscous flows. Novosibirsk, Russia, p. 36-51, 1986 (in Russian) T. B. Luzyanina An algorithm for computing hypersonic viscous gas flows over bodies with complex afterbody configurations In Software on aerodynamics, Moscow State University, p. 43-52, 1984 (in Russian). T. B. Luzyanina A cubic-splines based algorithm for adaptive finite difference mesh generation In Software on aerodynamics, Moscow State University, p. 33-42, 1984, (in Russian) Text book O. N. Belova, N. S. Kokoshinskaya, T. B. Luzyanina, V. M. Paskonov Numerical modelling laminar flows of viscous gas over bodies of complex form Moscow State University, 81 p., 1986 (in Russian) Reports T. Luzyanina and D. Roose Periodic solutions of differential algebraic equations with time delays: computation and stability analysis Technical report TW-403, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 2004 Abstract, K. Verheyden, T. Luzyanina, and D. Roose Efficient computation of characteristic roots of delay differential equations using LMS methods Technical report TW-383, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 2004 Abstract, K. Verheyden, T. Luzyanina, and D. Roose Location and numerical preservation of characteristic roots of delay differential equations by LMS methods Technical report TW-383, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 2004 Abstract, T. Luzyanina, K. Engelborghs and D. Roose Computing stability of differential equations with bounded distributed delays Technical report TW-340, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 2002 Abstract, Gzipped postscript file K. Engelborghs, T. Luzyanina, G. Samaey DDE-BIFTOOL v. 2.00: a Matlab package for bifurcation analysis of delay differential equations Technical report TW-330, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 2001 Abstract, Gzipped postscript file C. De Meester, D. Roose and T. Luzyanina Sensitivity analysis of mathematical models for bacterial growth Technical report TW-327, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 2001 Abstract T. Luzyanina, K. Engelborghs, S. Ehl, P. Klenerman and G. Bocharov Low level viral persistence after infection with LCMV: a quantitative insight through numerical bifurcation analysis Technical report TW-321, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 2001 C. De Meester, T. Luzyanina, K. Engelborghs, K. Bernaerts, D. Roose, J. Van Impe New ODE and DDE models for bacterial growth Technical report TW-315, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 2001 Abstract, Gzipped postscript file T. Luzyanina, K. Engelborghs, D. Roose Numerical bifurcation analysis of differential equations with state-dependent delay Technical report TW-302, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 2000 K. Engelborghs, T. Luzyanina, K. in't Hout D. Roose Collocation methods for the computation of periodic solutions of delay differential equations Technical report TW-295, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 199 K. Engelborghs, T. Luzyanina, D. Roose Bifurcation analysis of periodic solutions of neutral functional differential equations: a case study Technical report TW-276, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 1998 T. Luzyanina, K. Engelborghs, K. Lust, D. Roose Computation, continuation and bifurcation analysis of periodic solutions of delay differential equations Technical report TW-252, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 1997 T. Luzyanina, D. Roose Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations Technical report TW-232, Department of Computer Science, K.U.Leuven, Leuven, Belgium, 1995 T. Luzyanina Synchronization in an oscillator neural network model with time delayed coupling Institute of Mathematical Problems in Biology, Pushchino, 1991
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