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  • 1
    Electronic Resource
    Electronic Resource
    Some remarks on a Markov chain modelling cooperative biological systems (1995)
    Springer
    Open systems & information dynamics 3 (1995), S. 325-343 
    Details
    ISSN: 1573-1324
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Natural Sciences in General
    Notes: Abstract In this paper, we deal with a Markov chain introduced in our previous work, concerning a model for cooperative interactions in biological systems. Our aim is to obtain a mathematical explanation of some types of qualitative behaviour in cooperative systems. To this end, we point out further mathematical properties of the Markov chain and we find a diffusion continuous approximation of the chain, studying also some properties of the spectrum of both the discrete and the continuous associated operators.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02228996
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A Diffusion Approximation Which Models Hierarchic Interactions in Cooperative Biological Systems (1998)
    Springer
    Open systems & information dynamics 5 (1998), S. 1-23 
    Details
    ISSN: 1573-1324
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Natural Sciences in General
    Notes: Abstract In this paper the diffusion approximation of a Markov chain for hierarchic cooperative interactions in proteins is considered. The behaviour of the limiting diffusion, which takes values in the closed square [0,1]2, is then studied. The existence, absolute continuity and uniqueness of the stationary distribution are proved and its ergodic and reversibility properties analyzed. The problem of the attainability of the boundary is also considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009658417365
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    Paper (German National Licenses)
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