Temporal relation between the ADC and DC potential responses to transient focal ischemia in the rat: a Markov chain Monte Carlo simulation analysis

A Bayesian spatial random effects model characterisation of tumour heterogeneity implemented using Markov chain Monte Carlo (MCMC) simulation

The focus of this study is the development of a statistical modelling procedure for characterising intra-tumour heterogeneity, motivated by recent clinical literature indicating that a variety of tumours exhibit a considerable degree of genetic spatial variability. A formal spatial statistical model has been developed and used to characterise the structural heterogeneity of a number of supratentorial primitive neuroectodermal tumours (PNETs), based on diffusion-weighted magnetic resonance imaging. Particular attention is paid to the spatial dependence of diffusion close to the tumour boundary, in order to determine whether the data provide statistical evidence to support the proposition that water diffusivity in the boundary region of some tumours exhibits a deterministic dependence on distance from the boundary, in excess of an underlying random 2D spatial heterogeneity in diffusion. Tumour spatial heterogeneity measures were derived from the diffusion parameter estimates obtained using a Bayesian spatial random effects model. The analyses were implemented using Markov chain Monte Carlo (MCMC) simulation. Posterior predictive simulation was used to assess the adequacy of the statistical model. The main observations are that the previously reported relationship between diffusion and boundary proximity remains observable and achieves statistical significance after adjusting for an underlying random 2D spatial heterogeneity in the diffusion model parameters. A comparison of the magnitude of the boundary-distance effect with the underlying random 2D boundary heterogeneity suggests that both are important sources of variation in the vicinity of the boundary. No consistent pattern emerges from a comparison of the boundary and core spatial heterogeneity, with no indication of a consistently greater level of heterogeneity in one region compared with the other. The results raise the possibility that DWI might provide a surrogate marker of intra-tumour genetic regional heterogeneity, which would provide a powerful tool with applications in both patient management and in cancer research.

Focal reversible deactivation of cerebral metabolism affects water diffusion

The underlying biophysical mechanisms which affect cerebral diffusion contrast remain poorly understood. We hypothesized that cerebral metabolism may affect cerebral diffusion contrast. The purpose of this study was to develop the methodology to reversibly deactivate cerebral metabolism and measure the effect on the diffusion MRI signal. We developed an MRI-compatible cortical cooling system to reversibly deactivate cortical metabolism in rhesus monkey area V1 and used MR thermometry to calculate three-dimensional temperature maps of the brain to define the extent of deactivated brain in vivo. Significant changes in the apparent diffusion coefficient (ADC) were only observed during those experiments in which the cortex was cooled below the metabolic cutoff temperature of 20 degrees C. ADC decreases (12-20%) were observed during cortical cooling in regions where the temperature did not change. The normalized in vivo ADC as function of temperature was measured and found to be equivalent to the normalized ADC of free water at temperatures above 20 degrees C, but was significantly decreased below 20 degrees C (20-25% decrease). No changes in fractional anisotropy were observed. In future experiments, we will apply this methodology to quantify the effect of reversible deactivation on neural activity as measured by the hemodynamic response and compare water diffusion changes with hemodynamic changes.

Is anoxic depolarisation associated with an ADC threshold? A Markov chain Monte Carlo analysis

A Bayesian nonlinear hierarchical random coefficients model was used in a reanalysis of a previously published longitudinal study of the extracellular direct current (DC)-potential and apparent diffusion coefficient (ADC) responses to focal ischaemia. The main purpose was to examine the data for evidence of an ADC threshold for anoxic depolarisation. A Markov chain Monte Carlo simulation approach was adopted. The Metropolis algorithm was used to generate three parallel Markov chains and thus obtain a sampled posterior probability distribution for each of the DC-potential and ADC model parameters, together with a number of derived parameters. The latter were used in a subsequent threshold analysis. The analysis provided no evidence indicating a consistent and reproducible ADC threshold for anoxic depolarisation.

Cell-permeant calcium buffer induced neuroprotection after cortical devascularization

An excitotoxic cascade resulting in a significant intracellular calcium load is thought to be a primary mechanism leading to neuronal death after ischemia. One way to protect neurons from injury is through the use of cell-permeant calcium buffers. These molecules have been reported to be neuroprotective via their ability to increase the cell's overall Ca(2+) buffering load as well as by attenuating neurotransmitter release. However, their efficacy when given after injury has yet to be determined. We used diffusion-weighted magnetic resonance imaging (DWI), histological, and immunohistochemical methods to determine the neuroprotective efficacy of 2-aminophenol-N, N, O-triacetic acid acetoxymethyl ester (APTRA-AM) after focal cerebral ischemia. Injured animals were given two injections of APTRA-AM at 1 and 12 h after injury. Animals were imaged prior to injury and then at 12, 24, 48 h and 3 and 7 days after injury. After 7 days the animals were euthanized for correlative cresyl violet histology and immunohistochemistry. Injury resulted in a decrease in the apparent diffusion coefficient (ADC) of the injured area within the first 12 h of injury, which returned to normal by 7 days. In contrast, animals injected with APTRA-AM showed no significant change in the ADC at any time point studied. Tissue analysis showed that APTRA-AM significantly reduced the infarct size by 85% and extent of inflammatory cell infiltration by 94%. The results clearly demonstrate significant neuroprotection by APTRA-AM when given after injury.