  The consequences for the brane cosmological evolution of energy exchange
between the brane and the bulk are analyzed. A rich variety of brane
cosmologies is obtained, depending on the precise mechanism of energy transfer,
the equation of state of brane-matter and the spatial topology. An accelerating
era is generically a feature of the solutions.
  (Prepared for 36th International Symposium Ahrenshoop on the Theory of
Elementary Particles: Recent Developments in String M Theory and Field Theory,
Wernsdorf, Germany, 26-30 Aug 2003.)
