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.