Journal papers and recent conference presentations:

 

1.                 Polanski A., Kimmel M.: New Explicit Expressions for Relative Frequencies of SNPs with Application to Statistical Inference on Population Growth, submitted to Genetics.

2.                 Polanski A., Starosolski Z., Swierniak A., Kimmel M.: Inference about Population Growth from Single Nucleotide Polymophisms Frequences, submitted to Biocybernetics and Biomedical Engineering.

3.                 Polanski A., Kimmel M.: Population genetics models for statistics of DNA samples - maximum likelihood versus approximate methods, to appear, Applied Mathematics and Computer Science.

4.                 Swierniak A., Polanski A., Smieja J., Kimmel M.: Modelling growth of drug resistant cancer populations as the system with positive feedback, Mathematical and Computer Modelling, in press 2003.

5.                 Swierniak A., Polanski A., Smieja J., Kimmel M., Rzeszowska-Wolny J.: Asymptotic analysis of three random branching walk models arising in molecular biology, Control and Cybernetics, in press 2003

6.                 Polanski A., Bobrowski A., Kimmel M.: A note on distributions of times to coalescence, under time  dependent population size, Theoretical Population Biology, vol. 63, pp. 330-40, 2003.

7.                 Polanski A., Kimmel M.: On detection of population growth based on SNP data, 52nd Annual Meeting of American Society of Human Genetics, Baltimore, October 15-19, 2002.

8.                 Polanski A., Kimmel M.: Methods for estimation of demographic parameters from DNA sequence samples, Proceedings of 2002 American Control Conference, Anchorage, 8-10 May 2002,  CD-ROM edition, pp. 3472-3477.

9.                 Polański A.: On absolute stability analysis by polyhedral Lyapunov functions, Automatica, vol. 36, 2000, pp. 573-578

10.           Polański A.: Destabilizing strategies for linear uncertain systems, IEEE Trans. on Automatic Control, vol. 45 (12), pp. 2378-2382, 2000.

11.           Świerniak A., Polański A., Kimmel M., Bobrowski A., Śmieja J.: Qualitative analysis of controlled drug resistance model – inverse Laplace and semigroup approach, Control and Cybernetics, vo.28, 61-75, 1999.

12.           Polański A., Kimmel M., Chakraborty R.: Application of a time-dependent coalescence process for inferring the history of population size changes from DNA sequence data, Proc. Natl. Acad. Sci. USA, vol. 95, pp. 5456-5461, 1998.

13.           Łoskot K., Polański A., Rudnicki R.: Further comments on "Vector norms as Lyapunov functions for linear systems", IEEE Trans. on Automatic Control, vol. 43 (2), pp. 289-291, 1998.

14.           Kimmel M., Świerniak A., Polański A.: Infinite-dimensional model of evolution of drug resistance of cancer cells, Journal of Mathematical Systems, Estimation and Control, vol.8 (1), pp. 1-16, 1998.

15.           Polański A., Kimmel M., Deka R., Chakraborty R.: Dynamic balance of segregation distortion and selection maintains normal allele sizes at the Myotonic Dystrophy locus, Mathematical Biosciences, vol. 147, pp. 93-112, 1998.

16.           Polański A., Kimmel M., Chakraborty R.: Inferring the history of population size from DNA sequence data, The American Journal of Human Genetics, vol 61 (S), p. A-209, 1997.

17.           Polański A.: Lyapunov function construction by linear programming, IEEE Trans. on Automatic Control, vol. 42 (7), pp. 1113-1117, 1997.

18.           Polański A., Kimmel M., Świerniak A.: Qualitative analysis of the infinite-dimensional model of evolution of drug resistance, w Advances in Mathematical Population Dynamics – Molecules, Cells and Man, O.Arino, D.Axelrod, Kimmel M., World Scientific, 1997, 595-613

19.           Świerniak A., Polański A., Kimmel M.: Optimal control problems arising in cell-cycle-specific cancer chemotherapy, Cell Proliferation, vol.29, pp. 1-23, 1996.

20.           Świerniak A., Polański A., Duda Z., Kimmel M.: Phase-specific chemotherapy of cancer: Optimization of scheduling and rationale for periodic protocols, Biocybernetics and Biomedical Engineering, vol.16 (3-4), pp. 13-43, 1996

21.           Chakraborty R., Polański A., Kimmel M., Deka R.: Dynamic balance of meiotic drive and selection can maintain normal allele sizes at Myotonic Dystrophy locus. The American Journal of Human Genetics, vol 59 (S), p. A-175, 1996.

22.           Polański A.: On infinity norms as Lyapunov functions for linear systems, IEEE Trans. on Automatic Control,  vol. 40 (7), pp. 1270-1274, 1995.

23.           Świerniak A., Polański A.: Some properties of TPBVP arising in optimal scheduling of cancer chemotherapy, w Mathe­ma­tical Population Dynamics, O.Arino, Kimmel M., D.Axelrod,  Wuerz Publishing Ltd, 1995, (2):357-368

24.           Polański A., Wojciechowski K., Borek A.: Stereo calibration by planar grid lines, w: Lecture  Notes on Computer Science, V. Hlavac, R. Sara,  Springer Verlag, 1995, pp. 456-463.

25.           Polański A., Borek A.: The decomposition of the parameter space for recognition of the polygonal shapes, Machine Graphics and Vision, vol. 3 (1-2), pp.287-297, 1994.

26.           Świerniak A., Polański A.: Irregularity of some optimal control problems related to cancer chemotherapy, Applied Mathematics and Computer Science, special issue: Control and Modeling of Cancer Cell Population, vol. 4 (2), 263-271 1994.

27.           Błachuta M., Polański A.: On time invariant representations of discrete random processes, IEEE Trans. Automatic Control, vol.32, pp.1125-1127, 1987

 

Technical reports:

1.                  Polanski A., Kimmel M. (2002):  Inference about population growth from single nucleotide polymorphisms frequencies, Technical Report, Department of Statistics, Rice University.