Multigrid finite volume method for FGF-2 transport and binding

Wensheng Shen, Kimberly Forsten-Williams, Michael Fannon, Changjiang Zhang, Jun Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


A multigrid finite volume method has been developed to accelerate the solution process for simulating complex biological transport phenomena, involving convection, diffusion, and reaction. The method has been applied to a computational model which includes media flow in a cell-lined cylindrical vessel and fibroblast growth factor-2 (FGF-2) within the fluid capable of binding to receptors and heparan sulfate proteoglycans (HSPGs) on the cell surface. The differential equations were discretized by the finite volume method and solved with the multigrid V-cycle algorithm. Our work indicates that the multigrid finite volume method may allow users to investigate complex biological systems with less CPU time.

Original languageEnglish
Title of host publicationMachine Learning and Systems Engineering
Number of pages14
StatePublished - 2010
EventInternational Conference on Advances in Machine Learning and Systems Engineering - Berkeley, CA, United States
Duration: Oct 20 2009Oct 22 2009

Publication series

NameLecture Notes in Electrical Engineering
Volume68 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119


ConferenceInternational Conference on Advances in Machine Learning and Systems Engineering
Country/TerritoryUnited States
CityBerkeley, CA


  • Biological transport
  • FGF-2
  • Finite volume
  • Multigrid
  • Navier-Stokes

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering


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