Rigorous mathematical modeling techniques for optimal delivery of macromolecules to the brain

IEEE Transactions on Bio-medical Engineering
Andreas A LinningerRichard D Penn

Abstract

Several treatment modalities for neurodegenerative diseases or tumors of the central nervous system involve invasive delivery of large molecular weight drugs to the brain. Despite the ample record of experimental studies, accurate drug targeting for the human brain remains a challenge. This paper proposes a systematic design method of administering drugs to specific locations in the human brain based on first principles transport in porous media. The proposed mathematical framework predicts achievable treatment volumes in target regions as a function of brain anatomy and infusion catheter position. A systematic procedure to determine the optimal infusion and catheter design parameters that maximize the penetration depth and volumes of distribution will be discussed. The computer simulations are validated with agarose gel phantom experiments and rat data. The rigorous computational approach will allow physicians and scientists to better plan the administration of therapeutic drugs to the central nervous system.

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Citations

Jul 14, 2011·Annals of Biomedical Engineering·H D M HettiarachchiAndreas A Linninger
Oct 8, 2011·Bulletin of Mathematical Biology·Joshua H SmithJosé Jaime García
Sep 6, 2011·Physics in Medicine and Biology·Raghu Raghavan, Martin Brady
May 13, 2010·Journal of Biomechanical Engineering·O IvanchenkoA Linninger
Apr 27, 2012·Journal of Biological Engineering·M Soltani, Pu Chen
Sep 28, 2010·Journal of Biomechanics·Joshua H Smith, José Jaime García
Feb 24, 2011·IEEE Transactions on Bio-medical Engineering·Nikhil SindhwaniAndreas A Linninger
Aug 4, 2015·Journal of Neuro-oncology·Ankit I MehtaHerbert H Engelhard
May 3, 2016·Journal of the Mechanical Behavior of Biomedical Materials·A C R TavnerK Miller
Jan 1, 2014·Computers in Biology and Medicine·Jin Sun OhKyehan Rhee
Oct 19, 2019·European Journal of Pharmaceutical Sciences : Official Journal of the European Federation for Pharmaceutical Sciences·Wenbo Zhan
May 10, 2017·Medical Engineering & Physics·Eric LueshenAndreas Linninger

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