focus of this paper is to propose, model, and characterize a means of
accelerating the rate of delivery of therapeutic drugs to human tissues. The
investigated means is a pressurized, permeable-walled balloon filled with a
homogeneous mixture of the drug and the carrier fluid. The fluid mixture,
driven by pressure, traverses the thickness of the balloon wall through
laser-drilled pores. The number and deployment of the pores can be controlled to
a high degree of precision. As a consequence, the wall of the balloon can be
regarded as a homogeneous porous medium, and the traversing fluid flow can be
analyzed by means of porous media models. When the balloon is in intimate
contact with the surface of a tissue bed, the therapeutic fluid flows in series
as it passes through the balloon wall and penetrates the tissue. The flow rate
can be controlled by proper selection of the balloon permeability, the
viscosity of the flowing medium, and the pressure internal to the balloon. The
delivered concentration of the drug was predicted by coupling the present
balloon-focused theory with a previously developed tissue-bed model that
includes both diffusion and advection processes. The tribologic interaction of
the pressurized balloon with an artery wall was investigated experimentally to
assess the possible formation of aneurysms.
Mongrain, R., Leask, R., Brunette, J., Faik, I., BulmanFeleming, N. and Nguyen, T. (2005) Numerical modeling of coronary stents. In: Suri, J.S., et al., Eds., Plaque Imaging: Pixel to Molecular Level, IOS Press, Amsterdam, 443-459.
Mongrain, R., Faik, I., Leask, R.L., Cabau, J.R., Larose, E. and Bertrand, O.F. (2007) Effects of diffusion coefficients and struts apposition using numerical simulations for drug eluting coronary stents. Journal of Biomechanical Engineering, 129, 733-742. doi:10.1115/1.2768381
Migliavacca, F., Gervaso, F., Prosi, M., Zunino, P., Minisini, S., Formaggia, L. and Dubini, G. (2007) Expansion and drug elution model of a coronary stent. Computer Methods in Biomechanics and Biomedical Engineering, 10, 63-73. doi:10.1080/10255840601071087
Horner, M., Joshi, S., Dhruva, V. and Stewart, S.F.C. (2010) A two-species drug delivery model is required to predict deposition from drug-eluting stents. Cardiovascular Engineering and Technology, 1, 225-234.
Lovich, M.A. and Edelman, E.R. (1995) Mechanisms of transmural heparin transport in the rat abdominal aorta after local vascular delivery. Circulation Research, 77, 1143-1150. doi:10.1161/01.RES.77.6.1143
Tzafriri, A.R., Lerner, E.I., Flashner-Barak, M., Hinchcliffe, M., Ratner, E. and Parnas, H. (2005) Mathematical modeling and optimization of drug delivery from interturmurally injected microspheres. Clinical Cancer Research, 11, 826-834.
Klyushin, D.A., Lyashko, N.I. and Onopchuck, Y.N. (2007) Mathematical modeling and optimization of intratumor drug transport. Cybernetics and Systems Analysis, 43, 886-892. doi:10.1007/s10559-007-0113-z
Khakpour, M. and Vafai, K. (2008) A comprehensive analytical solution of macromolecular transport within an artery. International Journal of Heat and Mass Transfer, 51, 2905-2913.
Tzafriri, A.R., Levin, A.D. and Edelman, E.R. (2009) Diffusion-limited binding explains binary dose response for local arterial and tumor drug delivery. Cell Proliferation, 42, 348-363. doi:10.1111/j.1365-2184.2009.00602.x
Abraham, J.P., Gorman, J.M., Sparrow, E.M., Stark, J.R. and Kohler, R.E. (2013) A mass transfer model of temporal drug deposition in artery walls. International Journal of Heat and Mass Transfer, 58, 632-638.