Tomasz Lipniacki, Ph.D

Department of Mechanics and Physics of Fluids

Institute of Fundamental Technological Research

Warsaw, Poland.         

                                                                                                     

Email: tlipnia@ippt.gov.pl  or  tomek@rice.edu

 



 

 

 

 

CURRENT RESEARCH

 

Stochastic modeling of immune response and gene expression.

 





















Left: Two feedback loop stochastic model, and Right NF-κB and IκB co-oscillations of single cells (red lines) and of population average (blue line), full story: Biophys. J. 2006 and pdf presentation

 

MATLAB Handle Graphics
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Protein-Protein probability distribution functions in repressor-repressor system, full story:

J. Theor. Biol. 2006

 

 

Anisotropic Superfluid Turbulence

 

 

Superfluid vortex configuration during formation of plane Cuette flow, full story:

Eur. J. Mech, B-Fluids 2006



PUBLICATIONS

 

T. Lipniacki, M. Kimmel, Deterministic and stochastic models of NF-κB pathway, Cardiovascular Toxicology – in press, text (pdf), figures (pdf).

 

Bobrowski, T. Lipniacki, K. Pichór, R. Rudnicki, Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression, Journal of Mathematical Analysis and Applications – in press, pdf.

 

B. Hat, P. Paszek, M. Kimmel, K. Piechór, T. Lipniacki, How the number of alleles influences gene expression, J. Stat. Phys. – in press, pdf.

 

K. Fujarewicz, M. Kimmel, T. Lipniacki A. Świerniak, Adjoint systems for models of cell
signalling pathways and their application to parameter fitting, IEEE/ACM Transactions on
Computational Biology and Bioinformatics – in press, doc.

 

T. Lipniacki, Dynamics of superfluid He: Two-scale approach, European Journal of Mechanics, B/Fluids, 25: 435-458 (2006), pdf.

 

T. Lipniacki, P. Paszek, A. R. Brasier, B. Luxon, M. Kimmel, Stochasticity in early immune response, Biophysical Journal 90: 725-742 (2006), pdf

 

T. Lipniacki, P. Paszek, A. Marciniak-Czochra, A. R. Brasier, M. Kimmel, Transcriptional stochasticity in gene expression, J. Theor. Biol.  238: 348-367 (2006), pdf.

 

P. Paszek, T. Lipniacki, A. R. Brasier, B. Tian, D. E. Nowak, M. Kimmel, Stochastic effects of multiple regulators on expression profiles in eukaryotes, J. Theor. Biol.  233: 423-433 (2005), pdf.

 

T. Lipniacki, P. Paszek, A. R. Brasier, B. Luxon, M. Kimmel, Mathematical model of NF-κB regulatory module, J. Theor. Biol. 228: 195-215, (2004), pdf.

 

T. Lipniacki, Shape-preserving solutions for quantum vortex motion under localized induction approximation, Physics of Fluids 15 (6): 1381-1395, (2003), pdf.

 

T. Lipniacki, Quasi-static solution for quantum vortex motion under the localized induction approximation, J. Fluid Mech. 477: 321-337, (2002), pdf.

 

B. Kaźmierczak, T. Lipniacki, Homoclinic solutions in mechanical systems with small dissipation. Application to DNA dynamics,  J. Math. Biol. 44: 309-329 (2002), pdf.

T. Lipniacki, Evolution of line-length density and anisotropy of quantum tangle, Phys. Rev B 64: 214516-1-9 (2001), pdf

 

T. Lipniacki, Thermodynamics of local DNA openings, Phys. Rev. E 64: 051919-1-5 (2001), pdf.

 

T. Lipniacki, On quantum turbulence in superfluid Helium, Arch. Mech. 53 (1): 23-43 (2001).

 

T. Lipniacki, Torsional travelling waves in DNA, J. Non-linear Math. Phys. 8: 188-194 (2001).

 

T. Lipniacki, Statics of rigid units chain, International Journal of Bifurcation and Chaos 11, (3): 845-854 (2001), pdf

 

T. Lipniacki, Evolution of quantum vortices following reconnection, European Journal of
Mechanics, B/Fluids 19: 361-378 (2000), pdf

 

T. Lipniacki, Chemically driven traveling waves in DNA, Phys. Rev. E, 60: 7253-7561 (1999), pdf.

 

T. Lipniacki, Non linear mechanical model of DNA dynamics, Nuovo Cimento D 20 (6): 831-843 (1998), pdf.

 

T. Lipniacki, Dynamics of quantum vortices in superfluid He, Arch. Mech. 50 (3): 439-454 (1998).

 

T. Lipniacki, Dynamics of superfluid Helium - Limits of the Vinen model, Arch. Mech. 49 (4): 615-633 (1997).

 

T. Lipniacki, Can the system of discrete vortices imitate boundary layer, Arch. Mech. 49 (1): 103-109 (1997).