(M, R) Systems and RAF Sets - Common Ideas, Tools and Projections
نویسندگان
چکیده
There are deep underlying similarities between Rosen’s (M,R) systems as a definition of life and the RAF sets (Reflexive Autocatalytic systems generated by a Food source) introduced by Hordijk and Steel as a way of analyzing autocatalytic sets of reactions. Using RAF concepts we have systematically explored the set of possible small idealized metabolic networks, searching for instances of (M,R) systems. This exhaustive search has shown that the central requirement of Rosen’s framework, unicity of , becomes harder and harder to obtain as the network grows in size. In addition, we give an expression for operators f , and in terms of RAF sets.
منابع مشابه
Complete forcing numbers of polyphenyl systems
The idea of “forcing” has long been used in many research fields, such as colorings, orientations, geodetics and dominating sets in graph theory, as well as Latin squares, block designs and Steiner systems in combinatorics (see [1] and the references therein). Recently, the forcing on perfect matchings has been attracting more researchers attention. A forcing set of M is a subset of M contained...
متن کاملEvaluation of Ice Nucleation Activity (INA) and INA Gene Detection in the Bacteria Isolated from Pistachio Trees in Kerman Province, Iran
IIce nucleation active (INA) bacteria are common epiphytic inhabitants that cause frost damage in many plants in the near-zero temperatures. Yet, no studies were found in ice nucleation bacteria associated with pistachio trees. In our earlier study some INA strains were identified and reported. These were assigned as Pseudomonas fragi, P. putida, P. moraviensis and<em...
متن کاملA loop conjecture for metabolic closure
Although in the last few decades a variety of theoretical tools have been developed to better understand living organisms, their impact on experimental research has been rather limited. A common element between these theories is the idea of metabolic closure, i.e., the systems that produce all their metabolites and catalysts. In spite of an increasing consensus on the relevance of closure, a fo...
متن کاملAPPROXIMATE FIXED POINT IN FUZZY NORMED SPACES FOR NONLINEAR MAPS
We de ne approximate xed point in fuzzy norm spaces and prove the existence theorems, we also consider approximate pair constructive map- ping and show its relation with approximate fuzzy xed point.
متن کاملLITHOTHEQUE knowledge system about world-s mineral deposits supported by miniaturized sample sets: call for international adoption, networking and exchange
Our civilization is based on metals, among other life supports. The existing ore deposits are becoming rapidly depleted by almost exponentially increasing demand and production and major new ore discoveries are needed. Mineral exploration is supported by modern tools and scientific ideas, but geological characteristics of orebodies and their rock associations have still to be visualized.The tim...
متن کامل