A simple model of branched polymers in confined space is developed. Star-br
anched polymer molecules are built on a simple cubic lattice with excluded
volume and no attractive interactions (good solvent conditions). A single s
tar molecule is trapped in a network of linear polymer chains of restricted
mobility. The simulations are carried out using the classical Metropolis a
lgorithm. Static and dynamic properties of the star-branched polymer are de
termined using various networks. The dependence of the longest relaxation t
ime and the selfdiffusion coefficient on chain length and network propertie
s are discussed and the proper scaling laws formulated. The possible mechan
ism of motion is discussed. The differences between the motion of star-bran
ched polymers in such a network are compared with the cases of a dense matr
ix of linear chains and regular rod-like obstacles.