Crossing-Preserved and Persistent Splicing Systems

By the introduction of the notion of splicing system by Head in 1987, a new approach for bio-inspired problems was made. This mathematical model helps to interpret the behavior of restriction enzymes on DNA molecules when they are cut and pasted. The theoretical skeleton of this model was based on formal language theory. Several types of splicing systems have been defined by different mathematicians. One of those is the persistent splicing system in which the property of being crossing of a site is preserved. In this paper, we introduced two new concepts, namely self-closed and crossing-preserved splicing patterns. The connection of these concepts with the persistent splicing systems is investigated. Some examples are provided to illustrate the relations.