A fast parallelized computational approach based on sparse LU factorization for predictions of spatial and time-dependent currents and voltages in full-body biomodels

Ashutosh Mishra, Ravindra P. Joshi, Karl H. Schoenbach, Clifton D. Clark

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

Realistic and accurate numerical simulations of electrostimulation of tissues and full-body biomodels have been developed and implemented. Typically, whole-body systems are very complex and consist of a multitude of tissues, organs, and subcomponents with diverse properties. From an electrical standpoint, these can be characterized in terms of separate conductivities and permittivities. Accuracy demands good spatial resolution; thus, the overall tissue/animal models need to be discretized into a fine-grained mesh. This can lead to a large number of grid points (especially for a three-dimensional entity) and can place prohibitive requirements of memory storage and execution times on computing machines. Here, the authors include a simple yet fast and efficient numerical implementation. It is based on LU decomposition for execution on a cluster of computers running in parallel with distributed storage of the data in a sparse format. In this paper, the details of electrical tissue representation, the fast algorithm, the relevant biomodels, and specific applications to whole-animal studies of electrostimulation are discussed.

Original languageEnglish
Pages (from-to)1431-1440
Number of pages10
JournalIEEE Transactions on Plasma Science
Volume34
Issue number4 II
DOIs
StatePublished - Aug 2006

Keywords

  • Distributed currents
  • LU decomposition
  • Parallel computing
  • Tissue modeling
  • Whole body

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