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Self-consistent diffusive kinetics and dissipative structures in a distributed cell system (1985)

Kosevich, A. M. ; Kruglikov, I. L.

Springer

Journal of statistical physics 38 (1985), S. 361-370

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ISSN: 1572-9613

Keywords: Cell population ; spatial distribution ; bifurcation

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract By analogy with a problem on the kinetics of the last stages of solid supersaturated solution decay, considered in Ref. 1, the problem on the kinetics of cell population development in the nutrient solution is formulated. The state of the system is described by the cell size distribution function and the concentration of nutrient in the solution. The stability of spatially homogeneous cell distribution is analyzed. Bifurcation, connected with the origin of nonhomogeneous spatial distribution of cells and nutrient, is discovered. Dissipative structures arising near the point of first bifurcation are found.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01017867

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