Considering the nature of the Scholarpedia's articles (to let scientific knowledge be accesses to a broad public), I suggest to start the article with a few lines about the field of research in which 'splicing systems' belong to. At he moment, the beginnig of the article ("A splicing system is an abstract scheme ...") leaves the reader puzzled as 'scheme' is not defined (and it has lots of meanings in science).
I general, the English needs to be improved, a few suggestions follow. interest towards this topic -> interest in this topic of valid papers -> of papers [are there invalid papers?]
Section 'The Origins' I like the quote, but I do not really understand the "'historical' figure who applauds the 'splicing page'!". Was this present in a paper, personal communication, etc.? Moreover, Tom is not an historical figure, he is a living person!!!! Remove "historical figure".
"Very recently" -> remove it. Your article is supposed to remain in Scholarpedia for ages. The people who will read it in 100 years time will get a wrong idea.
What about adding a few images showing how DNA molecules can be modelled by sequences of letters and how a restriction enzyme can produce sticky and blunt ends in a DNA molecule. This would be of great help to the reader. Wht about adding one image with the content of your link: http://www.dia.unisa.it/professori/zizza/SCHOLAR/bio.pdf
Section "Formal models of DNA recombinations" we can splice -> who can splice? Who is this 'we'? I suggest to use 'it' when you refer, as in this case, to 'the considered system'. ]
Following sections: often you refer to results but you do not cite articles. Here some examples: (P. Bonizzoni, C. Ferretti, G. Mauri, R. Zizza, H.J. Hoogeboom, N. Van Vugt). (E. Laun-Goode, D. Pixton, S. Verlan, R. Zizza). Goode and Pixton (2007) Bonizzoni and Mauri (2006) Contributors: P. Bonizzoni, R. Ceterchi, C. De Felice, P. Harsha, T. Head, K. Krithivasan, E. Laun-Goode, A. Mateescu, G. Mauri, G. Păun, D. Pixton, G. Rozenberg, A. Salomaa, K.G. Subramanian, N. Van Vugt, S. Verlan, R. Zizza Contributors: G. Alford, V.T. Chakaravarthy, E. Csuhaj-Varju, K.L. Denninghoff, C. Ferretti, F. Freund, R. Freund, P. Frisco, R.W. Gatterdam, L. Kari, S. Kobayashi, K. Krithivasan, V. Manca, G. Mauri, C. Martin-Vide, V. Mitrana, M. Oswald, A. Păun, G. Păun, G. Rozenberg, A. Salomaa, G. Vaszil, T. Yokomori. ... please replace what in these parenthesis by proper citations. (ask the authors if you donot recall them. They will be happy to help)
Section "Universality by finite splicing systems" when you list the different types of control make a list, it is easier to read: - forbidding contexts (symbols are associated with rules and a string cannot be spliced if it contains such a symbol), - target languages (the splicing of two strings is allowed only if the resulting strings belong to a given regular language which is associated with the rule or associated with the whole set of rules; in the former case we say that we have local targets, and in the latter case we have a global target), ...