Introduction Directory UMM :Data Elmu:jurnal:B:Biosystems:Vol59.Issue1.2001:

BioSystems 59 2001 61 – 69 Continuous growth of autocatalytic sets Shigenobu Mitsuzawa a,b, , Sei-ichiro Watanabe a a Department of Earth and Planetary Sciences, Graduate School of Science, Nagoya Uni6ersity, Furo-cho, Chigusa, Nagoya, Aichi 464 - 8602 , Japan b TheoreticalComputational Physics Group, National Laboratory for High Energy Physics KEK , 1 - 1 Oho, Tsukuba, Ibaraki 305 - 0801 , Japan Received 30 August 2000; received in revised form 4 December 2000; accepted 8 December 2000 Abstract We investigated a topology of the reaction network for polymerization of amino acids as the emergence and the continuous growth of autocatalytic sets. Reaction networks including transpeptidation reaction can yield newer and longer peptides with time having higher concentrations. Conditions necessary for the occurrence of transpeptidation can be met in actual amino acidpeptide systems. © 2001 Elsevier Science Ireland Ltd. All rights reserved. Keywords : Origin of life; Polymerization of amino acids; Transpeptidation www.elsevier.comlocatebiosystems

1. Introduction

One of the fundamental questions regarding the origin of life is about which came first, either proteins or nucleic acids. The view that nucleic acids, probably RNA, were the primordial molecules of life Eigen et al., 1981 has been favored by many researchers, but has not been substantiated as yet Miller, 1992. On the other hand, some researchers have suggested the view that metabolisms of peptides could have origi- nated prior to or independently of the replication of nucleic acids Dyson, 1985; Kauffman, 1993. This view is based upon the vantage point that peptides could be synthesized more easily than nucleic acids in abiotic conditions. Ito et al. 1990 suggested that polypeptides carrying molecular weights of 1000 – 4000 Da had secondary struc- tures and catalytic functions for many metabolic reactions. Seffens 1995 investigated the possibil- ity that peptide systems might have exhibited metabolic and replicative activities. Recently, re- action networks of self- and cross-replicating pep- tides consisting of about 30 residues have been constructed in the laboratory by Lee et al. 1996 and other researchersLee et al., 1997; Yao et al., 1998. These observations strongly support the possibility of peptide systems of abiotic origin. In order to have functional peptide systems, a set of long peptide chains must be prepared abiot- ically. In this study, we investigate how longer peptide chains could be synthesized from amino Corresponding author. Tel.: + 81-298-796102; fax: + 81- 298-645755. E-mail address : shigenobu.mitsuzawakek.jp S. Mit- suzawa. 0303-264701 - see front matter © 2001 Elsevier Science Ireland Ltd. All rights reserved. PII: S 0 3 0 3 - 2 6 4 7 0 0 0 0 1 4 5 - 3 acids that may be long enough to carry primitive metabolic capabilities. Kauffman 1986 proposed an autocatalytic set of polymers. Simulation studies of autocatalytic sets Bagley and Farmer, 1991, however, revealed that it is not possible to synthesize longer poly- mers with high concentrations unless the equi- librium constant of condensation is large enough. In the present study, we performed numerical experiments by varying the topology of reaction networks. Our major finding is that even if the equilibrium constant of condensation is small, certain reaction networks can synthesize many kinds of longer polymers with higher concentrations.

2. Numerical model