@TechReport{	  it:2010-003,
  author	= {Andreas Hellander and Per L{\"o}tstedt},
  title		= {Incorporating Active Transport of Cellular Cargo in
		  Stochastic Mesoscopic Models of Living Cells},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2010},
  number	= {2010-003},
  month		= feb,
  abstract	= {We propose a new multiscale method to incorporate active
		  transport of cargo particles in biological cells in
		  stochastic, mesoscopic models of reaction-transport
		  processes. Given a discretization of the computational
		  domain, we find stochastic, convective mesoscopic molecular
		  fluxes over the edges or facets of the subvolumes and
		  relate the process to a corresponding first order finite
		  volume discretization of the linear convection equation. We
		  give an example of how this can be used to model active
		  transport of cargo particles on a microtubule network by
		  the motor proteins kinesin and dynein. In this way we
		  extend mesoscopic reaction-diffusion models of biochemical
		  reaction networks to more general models of molecular
		  transport within the living cell.}
}