### Modeling Biochemical networks

Modeling complex biochemical networks
with DDEs is another area which I am interested in. Networks containing
cascading phosphorylation-dephosphorylation cycles form the skeleton of a
number of biological processes. In order to study the effect of delay in a
network like cell cycle, its effect in a phenomenological model of a network
of P-D cycles is currently undertaken. Cascading activation involving 3
variables is replaced with delayed activation between 2 variables.
Introduction of delayed feedback did not change the property of the system and
that the reduced model mimics the original model quantitatively. Further
investigations on this system give strong results that can be used by
mathematical biologists when modeling complex biochemical pathways. The
applicability of the above result is evident in a cell cycle model proposed by
us using delayed variable.