  The biological membrane, which compartmentalizes the cell and its organelles,
exhibit wide variety of macroscopic shapes of varying morphology and topology.
A systematic understanding of the relation of membrane shapes to composition,
external field, environmental conditions etc. have important biological
relevance. Here we review the triangulated surface model, used in the
macroscopic simulation of membranes and the associated Monte Carlo (DTMC)
methods. New techniques to calculate surface quantifiers, that will facilitate
the study of additional in-plane orientational degrees of freedom, has been
introduced. The mere presence of a polar and nematic fields in the ordered
phase drives the ground state conformations of the membrane to a cylinder and
tetrahedron respectively.
