Elsevier

Brain Research

Volume 333, Issue 2, 6 May 1985, Pages 325-329
Brain Research

Diffusion from an injected volume of a substance in brain tissue with arbitrary volume fraction and tortuosity

https://doi.org/10.1016/0006-8993(85)91586-0Get rights and content

When a substance is pressure-injected from a micropipette into the extracellular space of the brain it may either form a cavity or it may infiltrate the extracellular space. In either case subsequent diffusion is governed by the volume fraction and tortuosity of the brain tissue as well as the diffusion coefficient of the substance itself. Appropriate equations, solutions and approximations to these problems are discussed. The results are relevant to the interpretation of studies on neuropharmacology and in situ electrochemistry.

References (12)

  • CarslawH.S. et al.

    Conduction of Heat in Solids

    (1959)
  • CrankJ.

    The Mathematics of Diffusion

    (1975)
  • DaytonM.A. et al.

    Diffusion processes measured at microvoltametric electrodes in brain tissue

    J. Electroanalyt. Chem.

    (1983)
  • DrayA. et al.

    A comparison of the release of substance P and some synthetic analogues from micropipettes by microiontophoresis or pressure

    Neuropharmacology

    (1983)
  • FreemanJ.A. et al.

    Effect of α-bungarotoxin on retinotectal synaptic transmission in the goldfish and the toad

    Neuroscience

    (1980)
  • GrayW.G. et al.

    On the theorems for local volume averaging of multiphase systems

    Int. J. Multiphase Flow

    (1977)
There are more references available in the full text version of this article.

Cited by (316)

  • Intratumoral Chemotherapy and Convection-Enhanced Delivery

    2018, Handbook of Brain Tumor Chemotherapy, Molecular Therapeutics, and Immunotherapy: Second Edition
  • The effects of local microinjection of selective dopamine D1 and D2 receptor agonists and antagonists into the dorsal raphe nucleus on sleep and wakefulness in the rat

    2018, Behavioural Brain Research
    Citation Excerpt :

    Although we verified that the cannula tip was confined within the limits of the DRN, it is not possible to discard the diffusion of the pharmacological agents outside the serotonergic nucleus. In this respect, it is well-known that the diffusion rate of a given drug depends upon a number of factors including its diffusion coefficient, and the characteristics of the brain region where the microinjection is performed [22]. However, it should be taken into consideration that methylene blue microinjected into the central nervous system in a 0.2 μl volume diffuses an average ratio of 520 μm [23].

View all citing articles on Scopus
View full text