Predictive models for pressure-driven fluid infusions into brain parenchyma

Physics in Medicine and Biology

Volumn 56, Issue 19, 2011, Pages 6179-6204

  Raghavan, Raghu ^a   Brady, Martin ^a  

^a Therataxis LLC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BACKFLOW; BIOLOGICAL THERAPEUTICS; BRAIN DISEASE; BRAIN PARENCHYMA; DIFFUSION TENSOR; DRUG TRANSPORT; INTERSTITIAL SPACE; NONLINEAR TREATMENTS; PORO-ELASTICITY; PREDICTIVE MODELS; PRESSURE-DRIVEN; QUANTITATIVE RESULT; TRACER MOLECULES;

BRAIN MODELS; COMPUTER SIMULATION; FLOW OF FLUIDS; FLUIDS; NONLINEAR EQUATIONS; TENSORS; TISSUE;

TRANSPORT PROPERTIES;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; BRAIN; BRAIN DISEASE; BRAIN MAPPING; COMPUTER SIMULATION; DIFFUSION WEIGHTED IMAGING; INFUSION PUMP; METHODOLOGY; PATHOLOGY; PRESSURE; RADIOGRAPHY; SWINE; TRANSPORT AT THE CELLULAR LEVEL;

ANIMALS; BIOLOGICAL TRANSPORT; BRAIN; BRAIN DISEASES; BRAIN MAPPING; COMPUTER SIMULATION; DIFFUSION MAGNETIC RESONANCE IMAGING; INFUSION PUMPS; MODELS, BIOLOGICAL; PRESSURE; SWINE;

EID: 80053182818     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/56/19/003     Document Type: Article

References (54)

1. Abbott N J 2004 Evidence for bulk flow of brain interstitial fluid: significance for physiology and pathology Neurochem. Int. 45 545-52 (Pubitemid 38739482)
2. Alexander D C, Hubbard P L, Hall M G, Moore E A, Ptito M, Parker G J M and Dyrby T B 2010 Orientationally invariant indices of axon diameter and density from diffusion MRI Neuroimage 52 1374-89
3. Basser P J and Jones D K 2002 Diffusion tensor MRI: theory, experimental design and data analysis - a technical review NMR Biomed. 15 456-67 (Pubitemid 36054509)
4. Bear J 1988 Dynamics of Fluids in Porous Media (New York: Dover)
5. Blinkov S M and Glezer I I 1968 The Human Brain in Figures and Tables (transl.) ed B Haigh (New York: Plenum)
6. Brady M, Raghavan R, Chen Z j and Broaddus W C 2011 Quantifying fluid infusions and tissue expansion in brain, IEEE Trans. Biomed. Eng. 58 2228-37
7. Bruch L W, Cole M W and Zaremba E 1997 Physical Adsorption: Forces and Phenomena (New York: Dover)
8. Chen K C and Nicholson C 2000 Changes in brain cell shape create residual extracellular space volume and explain tortuosity behavior during osmotic challenge Proc. Natl Acad. Sci. USA 97 8306-11 (Pubitemid 30639668)
9. Chen M Y, Lonser R R, Morrison P F, Governale L S and Oldfield E H 1999 Variables affecting convection-enhanced delivery in the striatum: a systematic examination of rate of infusion, cannula size, infusate concentration and tissue-cannula sealing time J. Neurosurg. 90 315-20 (Pubitemid 29068134)
10. Coussy O 2004 Poromechanics (New York: Wiley)
11. Craciun G, Brown A and Friedman A 2005 A dynamical system model of neurofilament transport in axons J. Theor. Biol. 237 316-22 (Pubitemid 41476459)
12. Croteau D, Walbridge S, Morrison P F, Butman J A, Vormeyer A O, Johnson D, Oldfield E H and Lonser R R 2005 Real time, in vivo imaging of convective distribution of a low molecular weight tracer J. Neurosurg. 102 90-107
13. Deoni S C L, Peters T M and Rutt B K 2004 Determination of optimal angles for variable nutation proton magnetic spin-lattice, T1, and spin-spin T2, relaxation times measurement Magn. Reson. Med. 51 194-9 (Pubitemid 38095718)
14. Deoni S C L, Rutt B K and Peters T M 2003 Rapid combined T1 and T2 mapping using gradient recalled acquisition in the steady-state Magn. Reson. Med. 49 515-26 (Pubitemid 36262820)
15. Ding D, Kanaly C W, Brady M L, Mittermeyer S, Raghavan R and Sampson J H 2010 Convection-enhanced delivery to the brain Drug Delivery to the Central Nervous System ed K K Jain (New York: Humana Press) pp 291-318
16. Fan X, Phan-Thien N, Yong N T, Wu X and Xu D 2003 Microchannel flow of a macromolecular suspension Phys. Fluids 15 11-21 (Pubitemid 36225351)
17. Freidlin M 1985 Functional Integration and Partial Differential Equations (Princeton, NJ: Princeton University Press)
18. Friedman A and Craciun G 2005 A model of intracellular transport of particles in an axon J. Math. Biol. 51 217-46 (Pubitemid 41040212)
19. Goh Y-M F, Kong H L and Wang C-H 2001 Simulation of the delivery of doxorubicin to hepatoma Pharm. Res. 18 761-70 (Pubitemid 32785296)
20. Groothuis D R, Ward S, Schlageter K E, Itskovich A C, Schwerin S C, Allen C v, Dills C and Levy R M 1998 Changes in blood-brain permeability associated with the insertion of brain cannulas and microdialysis probes Brain Res. 803 218-30 (Pubitemid 28392150)
21. Hadaczek P, Yamashita Y, Mirek H, Tamas L, Bohn M C, Noble C, Park J W and Bankiewicz K 2006 The 'perivascular pump' driven by arterial pulsation is a powerful mechanism for distribution of therapeutic molecules within the brain Mol. Ther. 14 69-78 (Pubitemid 43922142)
22. Linninger A A, Somayaji M R, Mekarski M and Zhang L 2008 Prediction of convection-enhanced delivery to the human brain J. Theor. Biol. 250 125-38 (Pubitemid 350160709)
23. Linninger A A, Somayaji M R, Zhang L, Hariharan M S and Penn R D 2008 Rigorous mathematical modeling techniques for optimal delivery of macromolecules to the brain IEEE Trans. Biomed. Eng. 55 2303-13
24. Lonser R R, Gogate N, Wood J D, Morrison P F and Oldfield E H 1998 Direct convective delivery of macromolecules to the peripheral nerves J. Neurosurg. 89 610-5 (Pubitemid 28440930)
25. Lonser R R, Walbridge S, Garmestani K, Butman J A, Walters H A, Vortmeyer A O, Brechbiel M W, Morrison P F and Oldfield E H 2002 Successful and safe perfusion of the primate brainstem with a macromolecule: in vivo magnetic resonance imaging of macromolecular distribution during infusion J. Neurosurg. 97 905-13 (Pubitemid 35222414)
26. Lonser R R, Weil R J, Morrison P F, Governale L S and Oldfield E H 1998 Direct convective delivery of macromolecules to the spinal cord J. Neurosurg. 89 616-22 (Pubitemid 28440931)
27. Mok W, Stylianopoulos T, Boucher Y and Jain R K 2009 Mathematical modeling of herpes simplex virus distribution in solid tumors: implications for cancer gene therapy Clin. Cancer Res. 15 2352-60
28. Morrison P F, Chen M Y, Chadwick R S, Lonser R R and Oldfield E H 1999 Focal delivery during direct infusion to brain: role of flow rate, catheter diameter, and tissue mechanics Am. J. Physiol. Regul. Integr. Comp. Physiol. 277 R1218-29
29. Morrison P F, Laske D W, Bobo H, Oldfield E H and Dedrick R L 1994 High flow microinfusion: tissue penetration and pharmacodynamics Am. J. Physiol. Regul. Integr. Comp. Physiol. 266 R292-305
30. Panagiotaki E, Fonteijn H, Siow B, Hall M G, Price A, Lythgoe M F and Alexander D C 2009 Two-compartment models of the diffusion MR signal in brain white matter Proc. MICCAI vol 1 pp 329-36
31. Pardridge W M 2005 The blood-brain barrier: bottleneck in brain drug development NeuroRx: J. Am. Soc. Exp. Neurotherapeutics 2 3-14 (Pubitemid 40128022)
32. Pluen A, Netti P A, Jain R and Berk D A 1999 Diffusion of macromolecules in agarose gels: comparison of linear and globular configurations Biophys. J. 77 542-52 (Pubitemid 29305250)
33. Press W H, Flannery B P, Teukolsky S A and Vetterling W T 1992 Numerical Recipes in C: The Art of Scientific Computing (Cambridge: Cambridge University Press)
34. Raghavan R, Mikaelian S, Brady M and Chen Z-J 2010 Fluid infusions from catheters into elastic tissue: I. Azimuthally symmetric backflow in homogeneous media Phys. Med. Biol. 55 281-304
35. Raghavan R, Poston T and Viswanathan R 2003 A method and apparatus for targeting material delivery to tissue US Patent No 6,549,803
36. Reisfeld B, Kalyanasundaram S and Leong K 1995 A mathematical model of polymeric controlled drug release and transport in the brain J. Control. Release 36 199-207
37. Reulen H J, Graham R, Spatz M and Katzo I 1977 Role of pressure gradients and bulk flow in dynamics of vasogenic brain edema J. Neurosurg. 46 24-35 (Pubitemid 8013270)
38. Sampson J H et al 2007 Clinical utility of a patient-specific algorithm for simulating intracerebral drug infusions Neuro-Oncology 9 343-53 (Pubitemid 47179574)
39. Sampson J H et al 2010 Poor drug distribution as a possible explanation for the results of the PRECISE trial J. Neurosurg. 113 301-9
40. Sarntinoranont M, Banerjee A, Lonser R R and Morrison P F 2003a Direct interstitial infusion of NK1-targeted neurotoxin into the spinal cord: a computational model Am. J. Physiol. Regul. Integr. Comp. Physiol. 285 R243-54 (Pubitemid 36736523)
41. Sarntinoranont M, Banerjee A, Lonser R R and Morrison P F 2003b A computational model of direct interstitial infusion of macromolecules into the spinal cord Ann. Biomed. Eng. 31 448-61
42. Schnitzer M J 1993 Theory of continuum random walks and application to chemotaxis Phys. Rev. E 48 2553-68
43. Sivaloganathan S, Stastna M, Tenti G and Drake J M 2005 Biomechanics of the brain: a theoretical and numerical study of Biot's equations of consolidation theory with deformation-dependent permeability Int. J. Non-linear Mech. 40 1149-59 (Pubitemid 41383927)
44. Smith J H and Humphrey J A C 2006 Interstitial transport and transvascular fluid exchange during infusion into brain and brain tissue J. Microvasc. Res. 2 871-82
45. Sykova E, Mazel T, Vargova L, Vorisek I and Prokopova-Kubinova S 2000 Extracellular space diffusion and pathological states Prog. Brain Res. 125 155-78 (Pubitemid 35460796)
46. Sykova E, Svoboda J, Polak J and Chvatal A 1994 Extracellular volume fraction and diffusion characteristics during progressive ischemia and terminal anoxia in the spinal cord of the rat J. Cereb. Blood Flow Metab. 14 301-11 (Pubitemid 24064443)
47. Tenti G, Sivaloganathan S and Drake J M 2002 The synchrony of arterial and CSF pulsations is not due to resonance Pediatr. Neurosurg. 37 221-2 (Pubitemid 35316921)
48. Thelwall P, Grant Samuel C, Stanisz Greg J and Blackband Stephen J 2002 Human erythrocyte ghosts: exploring the origins of multiexponential water diffusion in a model biological tissue with magnetic resonance Magn. Reson. Med. 48 649-57
49. Thorne R G and Nicholson C 2006 In vivo diffusion analysis with quantum dots and dextrans predicts the width of brain extracellular space Proc. Natl Acad. Sci. 103 5567-72
50. Torquato S 2000 Random Heterogeneous Materials (Berlin: Springer)
51. Tuch D S, Wedeen V J, Dale A M, George J S and Belliveau J W 2001 Conductivity tensor mapping of the human brain using diffusion tensor MRI Proc. Natl Acad. Sci. 98 11697-701 (Pubitemid 32928791)
52. Wang C-H and Li J 1998 Three-dimensional simulation of IgG delivery to tumors Chem. Eng. Sci. 53 3579-600 (Pubitemid 29118416)
53. Wang H 2000 Linear Theory of Poroelasticity (Princeton, NJ: Princeton University Press)
54. Zhang X-Y, Luck J, Dewhirst M W and Yuan F 2000 Interstitial hydraulic conductivity in a fibrosarcoma Am. J. Physiol. Heart Circ. Physiol. 279 H2726-34 (Pubitemid 32005861)