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Research Update IT Paper 1 –Revisions

Research Update Madhawa Hettiarachchi Laboratory for Product and Process Design Advisor: Prof. Andreas A Linninger 05/05/2011. Research Update IT Paper 1 –Revisions Diffusion and binding in spinal cord (Jaimie &Ying project) VOF method for drug infusion dynamics

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Research Update IT Paper 1 –Revisions

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  1. Research UpdateMadhawa HettiarachchiLaboratory for Product and Process DesignAdvisor: Prof. Andreas A Linninger05/05/2011

  2. Research Update • IT Paper 1 –Revisions • Diffusion and binding in spinal cord (Jaimie &Ying project) • VOF method for drug infusion dynamics • IT delivery- Two way FSI for wall compliance and CSF flow • Petsc • Brain-Spinal model (2D , 3D) • Magnetically guided nanoparticle simulations

  3. Kf,r A  B (bound) Morphine (mass fraction 0.1) Spinal cord cross-section • Diffusion+ Reaction • Modeling of binding ?? Rate constant kf,ris calculated using Arrhenius equation: A - pre-exponent factor Ea-activation energy

  4. Steady State Simulation free drug (A) bound drug (B) A B (bound)

  5. Unsteady State Simulation free drug (A) bound drug (B) T=2min T=20min A B (bound)

  6. A ~10-10 B ~ 10-14 Unsteady with different diffusivities A B (unbound) T=10min T=60min

  7. Infusion Dynamics (two phase flow using Volume of Fluid (VOF) method) infusion T=0 s Bulk flow T=0.1 s T=0.2 s T=0.3 s T=0.5 s Momentum for whole domain Continuity for the secondary phases

  8. IT drug delivery Problems working on: • Implicitly define the wall compliance using two way FSI approach. • Solve species transport using a previously calculated pulsatile velocity field. This will cut down the computing time for solving flow field at each time step during the cardiac cycle. Thoracic Lumber

  9. Thank you

  10. Completed Completed 2011 Spring Report- Madhawa Hettiarachchi Main goals: • 2D Spinal Canal and Brain model-New spinal canal/cord geometry: consistent with MRI measurements- -Further improve boundary conditions -Pulsatile flow -Drug diffusion in brain & spinal cord -moving boundaries at brain wall and lumber spinal canal3D Spinal Canal- anatomically consistent model -3D Simulation of CSF flow and drug transport -Simulation on Teragrid super computer • Prepare IT drug delivery journal paper Paper1: “The effect of pulsatile flow on the intrathecal drug delivery in the spinal canal” -Journal: Annals of Biomedical Engineering Paper 2: Led by Ying Hsu, IT clinical therapy design • Nanoparticle guided drug delivery-Validation of the 2D model with experiments.- Continue simulations and further improve the model. Other tasks: • Lattice Boltzmann Simulation method • Advising students • Project proposal (NIH –Fluid dynamics)- Completed Tetagrid simulation set up is Completed working on the 3D spinal canal model Computational model is Completed

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