Spatiotemporal BOLD dynamics from a poroelastic hemodynamic model

Journal of Theoretical Biology

Volumn 265, Issue 4, 2010, Pages 524-534

  Drysdale, P M ^a,b   Huber, J P ^a,b   Robinson, P A ^a,b   Aquino, K M ^a,b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b UNIVERSITY OF WESTERN SYDNEY   (Australia)

Author keywords

Blood oxygen level dependent; Functional MRI; Porous medium; Spatial and temporal dynamics

Indexed keywords

HEMOGLOBIN; OXYGEN;

BLOOD; HEMOGLOBIN; MODEL; POROELASTICITY; SPATIAL VARIATION;

ARTICLE; BLOOD CONSERVATION; BLOOD FLOW VELOCITY; BLOOD OXYGENATION; BLOOD PRESSURE REGULATION; BLOOD VESSEL TONE; BRAIN BLOOD FLOW; BRAIN BLOOD VESSEL; BRAIN CIRCULATION; CELL ACTIVITY; COMPARTMENT MODEL; CONTROLLED STUDY; DEOXYGENATION; ELASTICITY; FUNCTIONAL MAGNETIC RESONANCE IMAGING; GRAY MATTER; MATHEMATICAL COMPUTING; NERVE CELL NETWORK; OXYGEN BLOOD LEVEL; PRIORITY JOURNAL; SIGNAL NOISE RATIO; VALIDITY; ANIMAL; BIOLOGICAL MODEL; BLOOD; BRAIN; HEMODYNAMICS; METABOLISM; NERVE CELL; PHYSIOLOGY; POROSITY; TIME;

ANIMALS; BRAIN; CEREBROVASCULAR CIRCULATION; ELASTICITY; HEMODYNAMICS; HEMOGLOBINS; MODELS, BIOLOGICAL; NEURONS; OXYGEN; POROSITY; TIME FACTORS;

EID: 77954463951     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2010.05.026     Document Type: Article

References (41)

1. Acheson D.J. Elementary Fluid Dynamics 1990, Oxford Press, Oxford, p. 4.
2. Bennett M.R., Farnell L., Gibson W.G. Origins of blood volume change due to glutamatergic synaptic activity at astrocytes abutting on arteriolar smooth muscle cells. J. Theor. Bio. 2007, 250:172-185.
3. Barash B.F.C., Stoelting R.K., Cahalan M., Stock C. Clinical Anesthesia 2009, Lippincott Williams and Wilkins, Philadelphia.
4. Bear J. Dynamics of Fluids in Porous Media 1972, Elsevier, Amsterdam.
5. Buxton R.B., Frank L.R. A model for the coupling between cerebral blood flow and oxygen metabolism during neural stimulation. J. Cereb. Blood Flow Metab. 1997, 17:64-72.
6. Buxton R.B., Wong E.C., Frank L.R. Dynamics of blood flow and oxygenation changes during brain activation: the Balloon model. Magn. Reson. Med. 1998, 39:855-864.
7. Conrad B., Klingelhöfer J. Dynamics of regional cerebral blood flow for various visual stimuli. Exp. Brain Res. 1989, 77:437-441.
8. Damoiseaux J.S., Rombouts S.A.R.B., Barkhof F., Scheltens P., Stam C.J., Smith S.M., Beckmann C.F. Consistent resting state networks across healthy subjects. Proc. Natl. Acad. Sci. 2006, 103:13848-13853.
9. Darcy H. Les Fontaines Publiques de la Ville de Dijon 1856, Dalmont, Paris.
10. Duvernoy H.M., Vannson J.L. Cortical blood vessels of the human brain. Brain Res. Bull. 1981, 7:519-579.
11. Fox M.D., Raichle M.E. Spontaneous fluctuations in brain activity observed with functional magnetic resonance imaging. Nat. Rev. Neurosci. 2007, 8:700-711.
12. Friston K.J. Regulation of rCBF by diffusible signals: an analysis of constraints on diffusion and elimination. Hum. Brain Mapp. 1995, 3:56-65.
13. Friston K.J., Mechelli A., Turner R., Price C.J. Nonlinear responses in fMRI: the Balloon model, Volterra Kernels, and other hemodynamics. NeuroImage 2000, 12:466-477.
14. Friston K.J., Harrison L., Penny W. Dynamic causal modelling. NeuroImage 2003, 19:1273-1302.
15. Fung Y.C. Biomechanics: Mechanical Properties of Living Tissues 1993, Springer, New York.
16. Griffiths D.J. Introduction to Electrodynamics 1989, Prentice-Hall, London, p. 71.
17. 2 on cerebral blood volume, blood flow, and vascular mean transit time. Stroke 1974, 5:630-639.
18. Harrison R.V., Harel N., Panesar J., Mount R.J. Blood capillary distribution correlates with hemodynamic-based functional imaging in cerebral cortex. Cereb. Cortex 2002, 12:225-233.
19. Haydon P.G., Carmignoto G. Astrocyte control of synaptic transmission and neurovascular coupling. Physiol. Rev. 2006, 1009-1031.
20. Higdon R.L. Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation. Math. Comput. 1986, 47:437-459.
21. Hoffbrand A.V., Petit J.E., Moss P.A.H. Essential Haematology 2004, Blackwell Science, Hong Kong. fourth ed.
22. Kong Y., Zheng Y., Johnston D., Martindale J., Jones J., Billings S., Mayhew J. A model of the dynamic relationship between blood flow and volume changes during brain activation. J. Cereb. Blood Flow Metab. 2004, 24:1382-1392.
23. Lipowsky H.H. Microvascular rheology and hemodynamics. Microcirculation 2005, 12:5-15.
24. Logothetis N.K., Pauls J., Augath M., Trinath T., Oeltermann A. Neurophysiological investigation of the basis of the fMRI signal. Nature 2001, 412:150-157.
25. Long C.J., Brown E.N., Triantafyllou C., Aharon I., Wald L.L., Solo V. Nonstationary noise estimation in functional MRI. NeuroImage 2005, 28:890-903.
26. Lund T.E., Madsen K.H., Sidaros K., W.-L .Luo, Nichols T.E. Non-white noise in fMRI: does modelling have an impact. NeuroImage 2005, 29:54-66.
27. Mandeville J.B., Marota J.J.A., Ayata C., Zaharchuk G., Moskowitz M.A., Rosen B.R., Wiesskoff R.M. Evidence of cerebrovascular postarteriole windkessel with delayed compliance. J. Cereb. Blood Flow Metab. 1999, 19:679-689.
28. Nair D.G. About being BOLD. Brain Res. Rev. 2005, 50:229-243.
29. Obata T., Liu T., Miller K.L., Luh W., Wong E.C., Frank L.R., Buxton R.B. Discrepancies between BOLD and flow dynamics in primary and supplementary motor areas: application of the balloon model to the interpretation of BOLD transients. NeuroImage 2004, 21:144-153.
30. Poiseuille, J.L.M., 1846. Recherches expérimentales sur le mouvement des liquides dans les tubes de très-petits diamètres. In: Mémoires presentés par divers savants à l'Academie Royale des Sciences de l'Institut de France, vol. IX, pp. 433-544.
31. Raichle M.E., MacLeod M.A., Snyder A.Z., Powers W.J., Gusnard D.A., Shulman G.L. A default mode of brain function. Proc. Natl. Acad. Sci. 2001, 98:676-682.
32. Reira J.J., Wan X., Jimenez J.C., Kawashima R. Nonlinear local electrovascular coupling 1: a theoretical model. Hum. Brain Mapp. 2006, 27:896-914.
33. Robinson P.A., Drysdale P.M., Van der Merwe H., Kyriakou E., Rigozzi M., Germanoska B., Rennie C.J. BOLD responses to stimuli: dependence on frequency, stimulus form, amplitude, and repetition rate. NeuroImage 2006, 31:585-599.
34. Shmuel A., Augath M., Oeltermann A., Logothetis N.K. Negative functional MRI response correlates with decreases in neuronal activity in monkey visual area V1. Nat. Neurosci. 2006, 9:569-577.
35. Smirnakis S.M., Schmid M.C., Weber B., Tolias A.S., Augath M., Logothetis N.K. Spatial specificity of BOLD versus cerebral blood volume fMRI for mapping cortical organisation. J. Cereb. Blood Flow Metab. 2007, 27:1248-1261.
36. Stephan K.E., Weiskopf N., Drysdale P.M., Robinson P.A., Friston K.J. Comparing hemodynamic models with D.C.M. NeuroImage 2007, 38:387-401.
37. Turner, R., Thomas, D., 2006. How can cerebral blood volume change? Presented at the 12th International Conference of Functional Mapping of the Human Brain, June 11-15, 2006, Florence, Italy. NeuroImage, vol. 31, Supplement 1.
38. Vanzetta I., Hildsheim R., Grinvald A. Compartment-resolved imaging of activity-dependent dynamics of cortical blood volume and oximetry. J. Neurosci. 2005, 25:2233-2244.
39. Wang H. Theory of Linear Poroelasticity with Applications for Geomechanics and Hydrogeology 2000, Princeton University Press, Princeton, NJ.
40. Zonta M., Angulo M.C., Gobbo S., Rosengarten B., Hossmann K.A., Pozzan T., Carmignoto G. Neuron-to-astrocyte signalling is central to the dynamic control of brain microcirculation. Nat. Neurosci. 2003, 6:43-50.
41. Zheng Y., Johnston D., Berwick J., Chen D., Billings S., Mayhew J. A three-compartment model of the hemodynamic response and oxygen delivery to the brain. NeuroImage 2005, 28:925-939.