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In this paper, we present some results regarding the size complexity ofAccepting Networks of Evolutionary Processors with Filtered Connections(ANEPFCs). We show that there are universal ANEPFCs of size 10, by devising amethod for simulating 2-Tag Systems. This result significantly improves theknown upper bound for the size of universal ANEPFCs which is 18.  We also propose a new, computationally and descriptionally efficientsimulation of nondeterministic Turing machines by ANEPFCs. More precisely, wedescribe (informally, due to space limitations) how ANEPFCs with 16 nodes cansimulate in O(f(n)) time any nondeterministic Turing machine of time complexityf(n). Thus the known upper bound for the number of nodes in a networksimulating an arbitrary Turing machine is decreased from 26 to 16.

Small Universal Accepting Networks of Evolutionary Processors with Filtered Connections