


 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. 5979, 2012
 G. Bocharov, J. Quiel, T. Luzyanina, H. Alon, E. Chiglintsev, V. Chereshnev, M. MeierSchellersheim,
W. E. Paul and Z. Grossman
Feedback regulation of proliferation vs. differentiation
rates explains the dependence of CD4 Tcell expansion on precursor number
PNAS, v. 108, N 8, p.33183323, 2011
 G. Bocharov, R. Zust, L. CervantesBarragan, 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 labelstructured cell population dynamics model
using CFSE histogram timeseries data
J. of Mathematical Biology, Vol. 59, number 5, p. 581603, 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. 1322, 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. 209226, 2008
Abstract
 T. Luzyanina, D. Roose, T. Schenkel, M. Sester, S. Ehl, A. Meyerhans and G. Bocharov
Numerical modelling of labelstructured cell population growth using CFSE distribution data
Theoretical Biology and Medical Modelling, Vol. 4, p. 2639, 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. 5789, 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. 6784, 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. 165176, 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. 7592, 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. 22472254, 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 12, p. 8792, 2004
 T. Luzyanina, K. Engelborghs and D. Roose
Computing stability of differential equations with bounded distributed
delays
Numerical Algorithms, Vol. 34, number 1, p. 4166, 2003
Abstract
 T. Luzyanina, K. Engelborghs
Computing Floquet multipliers for functional differential equations
Int. J. of Bifurcation and Chaos,
Vol. 12, number 12, p. 29772989, 2002
Abstract
 K. Engelborghs, T. Luzyanina, D. Roose
Numerical bifurcation analysis of delay differential equations using
DDEBIFTOOL
ACM Transactions on Mathematical Software,
Vol. 28, number 1, p. 121, 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. 123, 2001
Abstract
 T. Luzyanina, K. Engelborghs, D. Roose
Numerical bifurcation analysis of differential equations with
statedependent delay
International Journal of Bifurcation and Chaos,
Vol. 11, number 3, p. 737753, 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. 036211103621111, 2001
 K. Engelborghs, T. Luzyanina, D. Roose
Numerical bifurcation analysis of delay differential equations
J. Comput. Appl. Math.,
Vol. 125, number 12, p. 265275, 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. 15931609, 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. 18891905, 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. 25472560, 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. 379392, 1996
 T. Luzyanina
Synchronization in an oscillator neural network model with time
delayed coupling
Network: Computation in Neural Systems,
Vol. 6, p. 4359, 1995
 T. Luzyanina
Synchronization in a neural network of phase oscillators with time
delayed coupling
Radiofizika,
Vol. 37, p. 945960, 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. 343, 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. 269284, 1991
 Yu. D. Lobsanov, A. G. Urzhumtsev, V. Yu. Lunin, T. B.Luzyanina
et al.
XRay study of the pea lectincarbohydrate complex at 2.4 A
resolution. 1. Atomic model
Bioorganical chemistry,
Vol. 16, p. 15891598, 1990 (in Russian)
 A. G. Urzhumtsev, V. Yu. Lunin, T. B. Luzyanina
Bounding a molecule in a noisy synthesis
Acta Crystallographic,
A45, p. 3439, 1989
 T. B. Luzyanina, V. M. Paskonov
Numerical investigation of the axisymmetric viscous gas flows
in nearwake of bodies with complex boattail geometry
Proceedings of the Academy of Sciences of the USSR.
Series Fluid and Gas Mechanics,
Vol. 2, p. 3137, 1987 (in Russian)
 T. B. Luzyanina, V. M. Paskonov
Afterbody configuration effect on the nearwake structure for
hypersonic flows of viscous gas
In Program Library on aerodynamics. Methods and
Algorithms ,
The Moscow State University, p. 317, 1984 (in Russian)
 Parts of books
 G. Bocharov, T. Luzyanina, D. Roose, H. Alon, M. MeierSchellersheim 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.
109120, 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 TimeDelay Systems, (Niculescu, S.I. and Gu, K., eds.), vol. 38,
Lecture Notes in Computational Science and Engineering, Springer Verlag,
2004, pp.167182
 S.I. Niculescu, W. Michiels, D. MelchorAguillar, 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. 87110
 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 TimeDelay Systems,
eds. W. Michiels and D. Roose, 6 p.,
September 810, 2004, Katholieke Universiteit Leuven, Belgium
 T. Luzyanina, D. Roose
Approximation of the characteristic roots of integral equations with
distributed delays
Equadiff2003. 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 CNRSNSF Workshop: Advances in control of
timedelay systems.(Niculescu, S.I. and Gu, K., eds.), p. 16,
2003
 K. Engelborghs, T. Luzyanina, D. Roose
DDEBIFTOOL, Software for Bifurcation Analysis of Delay
Differential Equations: Functionality and Applications
HERCMA Proceedings 2001, ed. E. Lipitakis, vol. 1, p. 123129, 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/EuropeIQEC2000, Nice, France, 1015 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 DDEBIFTOOL
Proceedings of 16th IMACS World Congress, Lausanne, Switzerland,
Eds. M. Deville, R. Owena. 6 p. 1734.pdf, 2000
 T. Luzyanina, K. Engelborghs, D. Roose
Differential equations with statedependent delay: numerical
study
Proceedings of 16th IMACS World Congress, Lausanne, Switzerland,
Eds. M. Deville, R. Owena. 6 p. 1735.pdf, 2000
 K. Engelborghs, T. Luzyanina, D. Roose
On numerical methods for bifurcation analysis of delay
differential equations
Equadiff99. International conference on differential
equations.
Berlin, Germany. Eds. B. Fiedler, K. Groger, J. Sprekels,
World Scientific, v. 2, p. 887892, 1999
 T. Luzyanina, K. Engelborghs, D. Roose
Some collocation results on computing periodic solutions of
delay differential equations
Equadiff99. International conference on differential
equations.
World Scientific, v. 1, p. 273275, 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 timedelayed coupling
Proceedings of IASTED International Conference Modelling and
Simulation, Colombo, Sri Lanka.
Eds. C. W. de Silva and M. H. Hamza, p. 205208, 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, 2022, p. 129134, 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. 16731679, 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. 45, 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. 209210, 1990
 Ya. B. Kazanovich, V. I. Kryukov, T. B. Luzyanina
Selfentrainment in oscillator models of neural networks
International Workshop "Neurocomputers and Attention",
Moscow, p. 4849, 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, 1A01, p. 5152, 1986
 O. N. Belova, N. S. Kokoshinskaya, T. B. Luzyanina, V. M. Paskonov
Hypersonic viscous gas flows over complex finitedimensional
bodies: modelling and results of numerical experiments
Proceedings on the dynamics of viscous flows. Novosibirsk,
Russia, p. 3651, 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. 4352, 1984 (in Russian).
 T. B. Luzyanina
A cubicsplines based algorithm for adaptive finite difference
mesh generation
In Software on aerodynamics, Moscow State University, p. 3342,
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 TW403, 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 TW383, 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 TW383, 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 TW340, Department of Computer Science, K.U.Leuven,
Leuven, Belgium, 2002
Abstract,
Gzipped postscript file
 K. Engelborghs, T. Luzyanina, G. Samaey
DDEBIFTOOL v. 2.00: a Matlab package for bifurcation analysis
of delay differential equations
Technical report TW330, 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 TW327, 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 TW321, 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 TW315, 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
statedependent delay
Technical report TW302, 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 TW295, 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 TW276, 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 TW252, 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 TW232, 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






