Effective Homology is a computational algebraic topological theory mainly based in the 

notion of chain homotopy equivalence, a strong algebraic notions connecting two 

differential graded modules. We use membrane computing methods for representing without algebraic redundancy chain homotopy equivalences. 

Different variants of P systems have been used when Membrane Computing 

and Algebraic Topology have been connected. One of the most known variants 

of P systems is the model of tissue P systems. We present a new variant of this 

model where the presence of some objects (working like catalyst) is necessary to 

apply some rules.