Article
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
Interdisciplinary Science Reviews (Impact Factor: 0.35). 08/2011; 36(3):209213. DOI: 10.1179/030801811X13082311482537

Article: SnapShot: Autism and the synapse.
Cell 10/2011; 147(3):706, 706.e1. · 31.96 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: We review and extend the work of Rosen and Casti who discuss category theory with regards to systems biology and manufacturing systems, respectively. We describe anticipatory systems, or longrange feedforward chemical reaction chains, and compare them to openloop manufacturing processes. We then close the loop by discussing metabolismrepair systems and describe the rationality of the selfreferential equation f = f (f). This relationship is derived from some boundary conditions that, in molecular systems biology, can be stated as the cardinality of the following molecular sets must be about equal: metabolome, genome, proteome. We show that this conjecture is not likely correct so the problem of selfreferential mappings for describing the boundary between living and nonliving systems remains an open question. We calculate a lower and upper bound for the number of edges in the molecular interaction network (the interactome) for two cellular organisms and for two manufacturomes for CMOS integrated circuit manufacturing. We show that the relevant mapping relations may not be Abelian, and that these problems cannot yet be resolved because the interactomes and manufacturomes are incomplete.Theoretical Biology and Medical Modelling 06/2011; 8:19. · 1.46 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: Abstract:Evolution requires the genotypephenotype distinction, a primeval epistemic cut that separates energydegenerate, rateindependent genetic symbols from the ratedependent dynamics of construction that they control. This symbolmatter or subjectobject distinction occurs at all higher levels where symbols are related to a referent by an arbitrary code. The converse of control is measurement in which a ratedependent dynamical state is coded into quiescent symbols. Nonintegrable constraints are one necessary conditions for bridging the epistemic cut by measurement, control, and coding. Additional properties of heteropolymer constraints are necessary for biological evolution.
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.