Computational methods for predicting drug transport in anisotropic and heterogeneous brain tissue

Journal of Biomechanics

Volumn 41, Issue 10, 2008, Pages 2176-2187

  Linninger, Andreas A ^a   Somayaji, Mahadevabharath R ^a   Erickson, Terrianne ^a   Guo, Xiaodong ^b   Penn, Richard D ^b  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

^b UNIVERSITY OF CHICAGO MEDICAL CENTER   (United States)

Author keywords

Anisotropic; DTI; Heterogeneous; Infusion catheter; Invasive drug delivery

Indexed keywords

ANISOTROPY; BRAIN; COMPUTATIONAL METHODS; DIFFUSION TENSOR IMAGING; FORECASTING; MAGNETIC RESONANCE IMAGING; MEDICAL IMAGING; NEURODEGENERATIVE DISEASES; TENSORS; TRANSPORT PROPERTIES;

ANISOTROPIC; CENTRAL NERVOUS SYSTEMS; DIFFUSION TENSOR MAGNETIC RESONANCE IMAGING; HETEROGENEOUS; INFUSION CATHETER; INVASIVE DRUG DELIVERY; PHYSICAL TRANSPORT PHENOMENA; PHYSIOLOGICAL PROPERTIES;

TISSUE;

ANISOTROPY; ARTICLE; BRAIN TISSUE; CENTRAL NERVOUS SYSTEM TUMOR; COMPUTER PREDICTION; DEGENERATIVE DISEASE; DIAGNOSTIC ACCURACY; DIFFUSION TENSOR IMAGING; DRUG DELIVERY SYSTEM; DRUG DISTRIBUTION; DRUG TRANSPORT; GEOMETRY; HUMAN; HUMAN TISSUE; IMAGE RECONSTRUCTION; IN VIVO STUDY; MACROMOLECULE; MATHEMATICAL COMPUTING; MOLECULAR WEIGHT; NEUROANATOMY; PRIORITY JOURNAL; THREE DIMENSIONAL IMAGING; ADULT; ALGORITHM; BIOLOGICAL MODEL; BIOLOGY; BRAIN; CALIBRATION; COMPUTER PROGRAM; DIFFUSION; DRUG EFFECT; HISTOLOGY; IMAGE PROCESSING; KINETICS; METABOLISM; METHODOLOGY; PHYSIOLOGY; THEORETICAL MODEL; TRANSPORT AT THE CELLULAR LEVEL;

ADULT; ALGORITHMS; ANISOTROPY; BIOLOGICAL TRANSPORT; BRAIN; CALIBRATION; COMPUTATIONAL BIOLOGY; DIFFUSION; DRUG DELIVERY SYSTEMS; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; KINETICS; MODELS, BIOLOGICAL; MODELS, THEORETICAL; SOFTWARE;

EID: 52649090168     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2008.04.025     Document Type: Article

References (70)

1. Ai, Y., Markesbery, W., Zhang, Z., Grondin, R., Elseberry, D.D., Gerhardt, G.A., Gash, D.M., 2003. Intraputamenal infusion of GDNF in aged rhesus monkeys: distribution and dopaminergic effects. The Journal of Comparative Neurology 461 (2), 250-261.
2. Avellaneda, M., Torquato, S., 1991. Rigorous link between fluid permeability, electrical conductivity, and relaxation times for transport in porous media. Physics of Fluids A 3 (11), 2529-2540.
3. Basser, P.J., 1992. Interstitial pressure, volume, and flow during infusion into brain tissue. Microvascular Research 44, 143-165.
4. Basser, P.J., Pierpaoli, C., 1996. Microstructural and physiological features of tissues elucidated by quantitative-diffusion tensor imaging. Journal of Magnetic Resonance Imaging Series B 111, 209-219.
5. Basser, P.J., Jones, D.K., 2002. Diffusion-tensor MRI: theory, experimental design and data analysis - a technical review. NMR in Biomedicine 15, 456-467.
6. Basser, P.J., Mattiello, J., Lebihan, D., 1994. Estimation of the effective self-diffusion tensor from NMR spin-echo. Journal of Magnetic Resonance Imaging Series B 103, 247-254.
7. Baxter, M.T., Jain, R.K., 1989. Transport of fluid and macromolecules in tumors: role of interstitial pressure and convection. Microvascular Research 37, 77-104.
8. Bear, J., Bachmat, Y., 1990. In: Bear, J. (Ed.), Introduction to Modeling of Transport Phenomena in Porous Media. Kluwer Academic Publishers, Dordrecht, pp. 162-178.
9. Bobo, R.H., Laske, D.W., Akbasak, A., Morrison, P.F., Dedrick, R.L., Oldfield, E.H., 1994. Convection-enhanced delivery of macromolecules in the brain. Proceedings of the National Academy of Sciences 91, 2076-2080.
10. Bohm, G., Galuppo, P., Vesnaver, A., 2000. 3D adaptive tomography using delaunay triangles and voronoi polygons. Geophysical Prospecting 48, 723-744.
11. Chen, B., Hsu, E., 2004. PDE denoising of MR diffusion tensor imaging data. In: Proceedings of IEEE International Symposium on Biomedical Imaging: From Nano to Macro. Arlington 1, pp. 1040-1042.
12. Chen, M.Y., Lonser, R.R., Morrison, P.F., Governale, L.S., Oldfield, E.H., 1999. Variables affecting convection-enhanced delivery to the striatum: a systematic examination of rate of infusion, cannula size, infusate concentration, and tissue-cannula sealing time. Journal of Neurosurgery 90 (2), 315-320.
13. Date, A.W., 2005. Introduction to Computational Fluid Dynamics. Cambridge University Press, New York, pp. 161-213.
14. Dullien, F.A.L., 1979. Porous Media, Fluid Transport and Pore Structure. Academic Press, New York, pp. 76-83, 169-175.
15. Geankoplis, C.J., 2003. Transport Processes and Unit Operations, third ed. Prentice-Hall of India, New Delhi, pp. 381-425.
16. Kaczmarek, M., Subramaniam, R.P., Neff, S.R., 1997. The hydromechanics of hydrocephalus: steady state solutions for cylindrical geometry. Bulletin of Mathematical Biology 59 (2), 295-323.
17. Kalyanasundaram, S., Calhoun, V.D., Leong, K.W., 1997. A finite element model for predicting the distribution of drugs delivered intracranially to the brain. American Journal of Physiology 273, R1810-R1821.
18. Krewson, C.E., Saltzman, W.M., 1996. Transport and elimination of recombinant human NGF during long-term delivery to the brain. Brain Research 727, 169-181.
19. Krewson, C.E., Klarman, M.L., Saltzman, W.M., 1995. Distribution of nerve growth factor following direct delivery to brain. Brain Research 680, 196-206.
20. Kunwar, S., 2003. Convection enhanced delivery of IL13-PE38QQR for the treatment of recurrent malignant glioma: presentation of interim findings from ongoing phase 1 studies. Acta Neurochirurgica 88 (Suppl.), 105-111.
21. Lazar, M., Weinstein, D.M., Tsuruda, J.S., Hasan, K.M., Arfanakis, K., Meyerand, M.E., Badie, B., Rowley, H.A., Haughton, V., Field, A., Alexander, A.L., 2003. White matter tractography using diffusion tensor deflection. Human Brain Mapping 18 (4), 306-321.
22. Lebihan, D.L., Mangin, J.F., Poupon, C., Clark, C.A., Pappata, S., Molko, N., Hughes, C., 2001. Diffusion tensor imaging: concepts and applications. Journal of Magnetic Resonance Imaging 13, 534-546.
23. Lidar, Z., Mardor, Y., Jonas, T., Pfeffer, R., Faibel, M., Nass, D., Hadani, M., Ram, Z., 2004. Convection-enhanced delivery of paclitaxel for the treatment of recurrent glioblastoma. A phase I/II clinical study. Journal of Neurosurgery 100, 472-479.
24. Linninger, A.A., Somayaji, M.R., Xenos, M., Kondapalli, S., 2005. Drug delivery into the human brain. In: Proceedings of Foundations of Systems Biology and Engineering. University of California, Santa Barbara, pp. 163-168.
25. Linninger, A.A., Xenos, M., Zhu, D.C., Somayaji, M.R., Kondapalli, S., Penn, R.D., 2007. Cerebrospinal fluid flow in the normal and hydrocephalic human brain. IEEE Transactions on Biomedical Engineering 54 (2), 291-302.
26. Linninger, A.A., Somayaji, M.R., Mekarski, M., Zhang, L., 2008. Prediction of convection-enhanced drug delivery to the human brain. Journal of Theoretical Biology 250, 125-138.
27. Mazel, T., Simonova, Z., Sykova, E., 1998. Diffusion heterogeneity and anisotropy in rat hippocampus. NeuroReport 9, 1261-1265.
28. Mori, S., van Zijl, P.C., 2002. Fiber tracking: principles and strategies - a technical review. NMR in Biomedicine 15, 468-480.
29. Morrison, P.F., Laske, D.W., Bobo, H., Oldfield, E.H., Dedrick, R.L., 1994. High-flow microinfusion: tissue penetration and pharmacodynamics. American Journal of Physiology Regulatory, Integrative and Comparative Physiology 266 (1), R292-R305.
30. Morrison, P.F., Chen, M.Y., Chadwick, R.S., Lonser, R.R., Oldfield, E.H., 1999. Focal delivery during direct infusion to brain: role of flow rate, catheter diameter, and tissue mechanics. American Journal of Physiology-Regulatory, Integrative and Comparative Physiology 277 (4), R1218-R1229.
31. Mota, M., Teixeira, J.A., Keating, J.B., Yelshin, A., 2004. Changes in diffusion through the brain extracellular space. Biotechnology and Applied Biochemistry 39, 223-232.
32. Nagashima, T., Shirakuni, T., Rapoport, S.I., 1990. A two-dimensional, finite element analysis of vasogenic brain edema. Neurologia Medico-Chirurgica (Tokyo) 30 (1), 1-9.
33. Nicholson, C., 1985. Diffusion from an injected volume of a substance in brain tissue with arbitrary volume fraction and tortuosity. Brain Research 333 (2), 325-329.
34. Nicholson, C., 2001. Diffusion and related transport mechanisms in the brain tissue. Reports on Progress in Physics 64, 815-884.
35. Nicholson, C., Phillips, J.M., 1981. Ion diffusion modified by tortuosity and volume fraction in the extracellular microenvironment of the rat cerebellum. The Journal of Physiology 321, 225-257.
36. Nield, D.A., Bejan, A., 1998. Convection in Porous Media. Springer, New York, pp. 1-50.
37. Patankar, S.V., 1980. Numerical Heat Transfer and Fluid Flow. McGraw-Hill, New York, pp. 1-135.
38. Perona, P., Malik, J., 1990. Scale-space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence 12, 629-639.
39. Pierpaoli, C., Basser, P.J., 1996. Toward a quantitative assessment of diffusion anisotropy. Magnetic Resonance in Medicine 36, 893-906.
40. Pierpaoli, C., Jezzard, P., Basser, P.J., Barnet, A., DiChiro, G., 1996. Diffusion Tensor MR Imaging of the Human Brain 201, 637-648.
41. Pipe, J.G., Farthing, V.G., Forbes, K.P., 2002. Multishot diffusion-weighted FSE using propeller MRI. Magnetic Resonance in Medical Sciences 47, 42-52.
42. Polson, A., 1950. Some aspects of diffusion in solution and a definition of a colloidal particle. The Journal of Physical Chemistry 54, 649-652.
43. Prokopova, S., Vargova, L., Sykova, E., 1997. Heterogeneous and anisotropic diffusion in the developing rat spinal cord. NeuroReport 8, 3527-3532.
44. Raghavan, R., Brady, M.L., Rodriguez-Ponce, M.I., Hartlep, A., Pedían, C., Sampson, J.H., 2006. Convection enhanced delivery of therapeutics for brain disease, and its optimization. Neurosurgical Focus 20, 1-13.
45. Rice, M.E., Okada, Y.C., Nicholson, C., 1993. Anisotropic and heterogeneous diffusion in turtle cerebellum: implications for volume transmission. Journal of Neurophysiology 70, 2035-2044.
46. Saltzman, W.M., Radomsky, M.L., 1991. Drugs released from polymers: diffusion and elimination in the brain tissue. Chemical Engineering Science 46 (10), 2429-2444.
47. Saltzman, W.M., Radomsky, M.L., Whaley, K.J., Cone, R.A., 1994. Antibody diffusion in human cervical mucus. Biophysical Journal 66, 508-515.
48. Salvatore, M.F., Ai, Y., Fischer, B., Zhang, A.M., Grondin, R.C., Zhang, Z., Gerhardt, G.A., Gash, D.M., 2006. Point source concentration of GDNF may explain failure of phase II clinical trial. Experimental Neurology 202, 497-505.
49. Sampson, J.H., Brady, M.L., Petry, N.A., Croteau, D., Friedman, A.H., Friedman, H.S., Wong, T., Bigner, D.D., Pastan, I., Puri, R.K., Pedain, C., 2007. Intracerebral infusate distribution by convection-enhanced delivery in humans with malignant gliomas: descriptive effects of target anatomy and catheter positioning. Neurosurgery 60 (ONS Suppl. 1), ONS-89-ONS-99.
50. Sarntinoranont, M., Banerjee, R.K., Lonser, R.R., Morrison, P.F., 2003. A computational model of direct interstitial infusion of macromolecules into the spinal cord. Annals of Biomedical Engineering 31, 448-461.
51. Sarntinoranont, M., Chen, X., Zhao, J., Mareci, T.H., 2006. Computational model of interstitial transport in the spinal cord using diffusion tensor imaging. Annals of Biomedical Engineering 34 (8), 1304-1321.
52. Shimony, J.S., McKinstry, R.C., Akbudak, E., Aronovitz, J.A., Snyder, A.Z., Lori, N.F., Cull, T.S., Conturo, T.E., 1999. Quantitative diffusion-tensor anisotropy brain MR imaging: normative human data and anatomic analysis. Radiology 212, 770-784.
53. Slevin, J.T., Gerhardt, G.A., Smith, C.D., Gash, D.M., Kryscio, R., Younf, B., 2005. Improvement of bilateral motor functions in patients with Parkinson's disease through the unilateral intraputaminal infusion of glial cell-line derived neurotrophic factor. Journal of Neurosurgery 102, 216-222.
54. Somayaji, M.R., 2008. Drug transport mechanisms in the human brain. Ph.D. Thesis, University of Illinois at Chicago, University of Illinois Press. Chicago.
55. Somayaji, M.R., Xenos, M., Zhang, L., Mekarski, M., Linninger, A.A., 2008. Systematic design of drug delivery therapies. Computers and Chemical Engineering 32, 89-98.
56. Stejskal, E.O., Tanner, J.E., 1965. Spin diffusion measurements: spin echoes in the presence of a time dependent field gradient. Journal of Chemical Physics 42, 288-292.
57. Stroh, M., Zipfel, W.R., Williams, R.M., Webb, W.W., Saltzman, W.M., 2003. Diffusion of nerve growth factor in rat striatum as determined by multiphoton microscopy. Biophysical Journal 85, 581-588.
58. Sykova, E., Svoboda, J., Polak, J., Chvatal, A., 1994. Extracellular volume fraction and diffusion characteristics during progressive ischemia and terminal anoxia in the spinal-cord of the rat. Journal of Cerebral Blood Flow and Metabolism 14, 301-311.
59. Sykova, E., Mazel, T., Simonova, Z., 1998. Diffusion constraints and neuron-glia interaction during aging. Experimental Gerontology 33, 837-851.
60. Sykova, E., Mazel, T., Hasenohrl, R.U., Harvey, A.R., Simonova, Z., Mulders, W.H., Huston, J.P., 2002. Learning deficits in aged rats related to decrease in extracellular volume and loss of diffusion anisotropy in hippocampus. Hippocampus 12, 269-279.
61. Tao, L., Nicholson, C., 1996. Diffusion of albumins in rat cortical slices and relevance to volume transmission. Neuroscience 75, 839-847.
62. Thorne, R.G., Frey II, W.H., 2001. Delivery of neurotrophic factors to the central nervous system. Clinical Pharmacokinetics 40 (12), 907-946.
63. Thorne, R.G., Hrabetova, S., Nicholson, C., 2004. Diffusion of epidermal growth factor in rat brain extracellular space measured by integrative optical imaging. Journal of Neurophysiology 92, 3471-3481.
64. Tuch, D.S., Wedeen, V.J., Dale, A.M., George, J.S., Belliveau, J.W., 2001. Conductivity tensor mapping of the human brain using diffusion tensor MRI. Proceedings of the National Academy of Sciences 98, 11697-11701.
65. Vorisek, I., Sykova, E., 1997. Evolution of anisotropic diffusion in the developing rat corpus callosum. The Journal of Neurophysiology 78, 912-919.
66. Vorisek, I., Hajek, M., Tintera, J., Nicolay, K., Sykova, E., 2002. Water ADC, extracellular space volume, and tortuosity in the rat cortex after traumatic injury. Magnetic Resonance in Medicine 48, 994-1003.
67. Watson, D.F., 1981. Computing the n-dimensional Delaunay tessellation with application to Vornoi polytypes. The Computer Journal 24 (2), 167-172.
68. Welk, M., Weickert, J., Becker, F., Schnorr, C., Feddern, C., Burgeth, B., 2007. Median and related local filters for tensor-valued images. Signal Processing 87, 291-308.
69. Zhang, S., Demiralp, C., Laidlaw, D.H., 2003. Visualizing diffusion tensor MR images using streamtubes and streamsurfaces. IEEE Transaction on Visualization and Computer Graphics 9 (4), 454-462.
70. Zhang, L., Kulkarni, K., Somayaji, M.R., Xenos, M., Linninger, A.A., 2007. Discovery of transport and reaction properties in distributed systems. A. I. Ch. E. Journal 53 (2), 381-396.