Simulating the spread of the BSE disease: a cellular automata approach

• Autorzy: Magdoń-Maksymowicz M. , Maksymowicz A. Z.
• Języki publikacji: EN

Abstrakty

EN

The rules of evolution applied in the cellular automata approach may correspond to the propagation of the mad cow disease. In a computer simulation of the BSE disease's spread both inherited and infectious mechanisms are accounted for. The initial population of items is randomly distributed on a two-dimensional square lattice, Nx × Ny = 1000 × 1000, with a fraction of 1 percent the items already infected. Alternatively, faulty prions may spontaneously develop during the simulation with a very small frequency. Our results indicate a critical probability, pc, of BSE transmission, so that for p below the threshold the population recovers. For p > pc the disease is launched in the population with a dynamic equilibrium between the healthy and infected fractions of the population. The threshold is very sensitive to spatial clustering of the population and the detailed rules for the disease's onset, evolution and propagation.

Słowa kluczowe

EN

computer simulation; disease spreading; BSE; cellular automata method

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2005
• Tom: Vol. 9, No 2
• Strony: 179--185
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Magdoń-Maksymowicz M.

• Department of Mathematical Statistics, AR-Agricultural University, Al. Mickiewicza 21, 31-120 Cracow, Poland

autor

Maksymowicz A. Z.

• Faculty of Physics and Nuclear Techniques, AGH-University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland

Bibliografia

• [1] Poschel T, Brilliantov N V and Frommel C 2003 Biophysical Journal 85 3460
• [2] Soto C 2002 Biochem. Soc. Trans. 30 569
• [3] Nowak M A, Krakauer D C, Klug A and May R M 1999 Integrative Biology 1 3
• [4] Toffoli T and Margolus M 1999 Cellular Automata Machines, MIT Press, Cambridge MA
• [5] Magdoń-Maksymowicz M 2004 Lecture Notes in Computer Science 3039 750
• [6] Magdoń-Maksymowicz M and Maksymowicz A Z 2004 Lecture Notes in Computer Science 3039 758
• [7] Brown D and Rolhery P 1993 Models in Biology: Mathematics, Statistics and Computing, Wiley, New York