PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Comparison between two approaches to modeling microsatellite DNA repeats: infinite dimensional model and its n-dimensional

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Two approaches to modeling microsatellite DNA repeats are considered. The former is an infinite dimensional system based on the theory of branching random walks which dynamic properties are characterized using Laplace transforms and Laplace asymptotic techniques. The latter is an n-dimensional approximation where microsatellite DNA repeats model is the example of a chain system. Both models were the subject of many numerical calculations using the MATLAB software. The results allow us to evaluate the asymptotic behavior and determine the effect of the system parameters on the run of the solution and the state variables.
Rocznik
Strony
419--441
Opis fizyczny
Bibliogr. 10 poz., rys., wzory
Twórcy
autor
  • Institute of Automatic Control, Silesian University of Technology, Gliwice, Poland, mbialka1240@wp.pl
Bibliografia
  • [1] T. A. Brown: Genomes 3. Wydawnictwo Naukowe PWN, Warszawa, 2009, (in Polish).
  • [2] R. Kordek and J. Bartkowiak: Microsatellite instability in human carcinomas. Onkol. Pol, 22, (1999), 109-112 (in Polish).
  • [3] M. Kimmel, A. Ňwierniak and A. Polañski: Infinite-dimensional model of evolution of drug resistance of cancer cells. J. of Mathematical Systems, Estimation and Control, 8(1), (1998).
  • [4] W. Mitkowski: Dynamic properties of chain systems with applications to biological models. Archives of Control Sciences, 9(1-2), (1999), 123-131.
  • [5] A. Bobrowski, M. Kimmel: Dynamics of the life history of a DNA-repeat sequence, Archives of Control Sciences Volume 9(XLV), 1999, No. 1-2, pages 57-67
  • [6] R. M. Sibly, J. C. Whittaker and M. Talbot: A maximum-likelihood approach to fitting equilibrium models of microsatellite evolution. Mol. Biol. Evol., 18(3), (2001), 413-417.
  • [7] M. Kimmel and D. N. Stivers: Time-continuous branching walk models of unstable gene amplification. Bull. Math. Biol., 56 (1994), 337-357.
  • [8] J. Osiowski: Principles of operator calculus. WNT, Warszawa, 1981, (in Polish).
  • [9] B. Windle and G. M. Wahl: Molecular dissection of mammalian gene amplification: New mechanistic insights revealed by analysis of very early events. Mutat. Res., 276 (1992), 199-224.
  • [10] W. P. Ilin and Yu. I. Kuznyetsow: Tridiagonal matrices and their applications. Nauka, Moskwa, 1985.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0097-0012
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.