Rosen's (M,R) system as an X-machine

JOURNAL OF THEORETICAL BIOLOGY

卷:408

Article

Palmer, Michael L.¹  Williams, Richard A.²  Gatherer, Derek¹ 

[1] Univ Lancaster, Fac Hlth & Med, Div Biomed & Life Sci, Lancaster LA1 4YW, England

[2] Univ Lancaster, Sch Management, Dept Management Sci, Lancaster LA1 4YW, England

关键词: Systems biology;    Computability;    Reductionism;    Mechanism;    Self-reference;    Turing machine;    UML;    Unified Modelling Language;    Finite state machine;    Stream X-machine;    Communicating X-machine;   

DOI  :  10.1016/j.jtbi.2016.08.007

来源: Elsevier

【 摘 要 】

Robert Rosen's (M,R) system is an abstract biological network architecture that is allegedly both irreducible to sub-models of its component states and non-computable on a Turing machine. (M,R) stands as an obstacle to both reductionist and mechanistic presentations of systems biology, principally due to its self-referential structure. If (M,R) has the properties claimed for it, computational systems biology will not be possible, or at best will be a science of approximate simulations rather than accurate models. Several attempts have been made, at both empirical and theoretical levels, to disprove this assertion by instantiating (M,R) in software architectures. So far, these efforts have been inconclusive. In this paper, we attempt to demonstrate why - by showing how both finite state machine and stream X-machine formal architectures fail to capture the self-referential requirements of (M,R). We then show that a solution may be found in communicating X-machines, which remove self-reference using parallel computation, and then synthesise such machine architectures with object-orientation to create a formal basis for future software instantiations of (M,R) systems. (C) 2016 Elsevier Ltd. All rights reserved.

【 授权许可】

Free