A Bayesian approach to modeling the conditional density of the inverse controller

The inverse controller is traditionally assumed to be a deterministic function. This paper presents a pedagogical methodology for estimating the stochastic model of the inverse controller. The proposed method is based on Bayes' theorem. Using Bayes' rule to obtain the stochastic model of the inverse controller allows the use of knowledge of uncertainty from both the inverse and the forward model in estimating the optimal control signal. The paper presents the methodology for general nonlinear systems. For illustration purposes, the proposed methodology is applied to linear Gaussian systems. © 2004 IEEE.

The density of mature beta/A4 deposits is enhanced in Alzheimer's disease cases with pronounced congophilic angiopathy

The density of diffuse, primitive, classic and compact beta/A4 deposits was estimated in the cortex and hippocampus in Alzheimer's disease (AD) cases with pronounced congophilic angiopathy (CA). The total density of beta/A4 deposits in a brain region was similar in cases with and without CA. Significantly fewer diffuse deposits and more primitive/classic deposits were found in the cases with CA. The density of the primitive, classic and compact deposits were positively correlated in the cases without CA. However, no correlations were observed between the density of the mature subtypes and the diffuse deposits in these cases. In cases with CA, the density of the primitive deposits was positively correlated with the diffuse deposits but not with the classic deposits. The data suggest that the mature beta/A4 deposits are derived from the diffuse deposits and that the presence of pronounced CA enhances their formation.

Multiple system atrophy: laminar distribution of the pathological changes in frontal and temporal neocortex--a study in ten patients

OBJECTIVE: To determine the distribution of the pathological changes in the neocortex in multiple-system atrophy (MSA). METHOD: The vertical distribution of the abnormal neurons (neurons with enlarged or atrophic perikarya), surviving neurons, glial cytoplasmic inclusions (GCI) and neuronal cytoplasmic inclusions (NI) were studied in alpha-synuclein-stained material of frontal and temporal cortex in ten cases of MSA. RESULTS: Abnormal neurons exhibited two common patterns of distribution, viz., density was either maximal in the upper cortex or a bimodal distribution was present with a density peak in the upper and lower cortex. The NI were either located in the lower cortex or were more uniformly distributed down the cortical profile. The distribution of the GCI varied considerably between gyri and cases. The density of the glial cell nuclei was maximal in the lower cortex in the majority of gyri. In a number of gyri, there was a positive correlation between the vertical densities of the abnormal neurons, the total number of surviving neurons, and the glial cell nuclei. The vertical densities of the GCI were not correlated with those of the surviving neurons or glial cells but the GCI and NI were positively correlated in a small number of gyri. CONCLUSION: The data suggest that there is significant degeneration of the frontal and temporal lobes in MSA, the lower laminae being affected more significantly than the upper laminae. Cortical degeneration in MSA is likely to be secondary to pathological changes occurring within subcortical areas.

Quantification of the pathological changes with laminar depth in the cortex in sporadic Creutzfeldt-Jakob disease

The laminar distribution of the vacuolation ('spongiform change'), surviving neurons, glial cell nuclei, and prion protein (PrP) deposits was studied in the frontal, parietal and temporal cortex in 11 cases of sporadic Creutzfeldt-Jakob disease (CJD). The distribution of the vacuolation was mainly bimodal with peaks of density in the upper and lower cortical laminae. The density of surviving neurons was greatest in the upper cortex while glial cell nuclei were distributed largely in the lower cortex. PrP deposits exhibited either a bimodal distribution or reached a maximum density in the lower cortex. The vertical density of the vacuoles was positively correlated with the surviving neurons in 12/44 of cortical areas studied, with glial cell nuclei in 16/44 areas and with PrP deposition in 15/28 areas. PrP deposits were positively correlated with glial cell nuclei in 12/31 areas. These results suggest that in sporadic CJD: (1) the lower cortical laminae are the most affected by the pathological changes; (2) the development of the vacuolation may precede that of the extracellular PrP deposits and the glial cell reaction; and (3) the pathological changes may develop initially in the lower cortical laminae and spread to affect the upper cortical laminae. © 2001 Elsevier Science Ireland Ltd. All rights reserved.

A quantitative study of the pathological changes in white matter in multiple system atrophy

The density and spatial distribution of the vacuoles, glial cell nuclei and glial cytoplasmic inclusions (GCI) were studied in the white matter of various cortical and subcortical areas in 10 cases of multiple system atrophy (MSA). Vacuolation was more prevalent in subcortical than cortical areas and especially in the central tegmental tract. Glial cell nuclei widespread in all areas of the white matter studied; overall densities of glial cell nuclei being significantly greater in the central tegmental tract and frontal cortex compared with areas of the pons. The GCI were present most consistently in the external and internal capsules, the central tegmental tract and the white matter of the cerebellar cortex. The density of the vacuoles was greater in the MSA brains than in the control brains but glial cell density was similar in both groups. In the majority of areas, the pathological changes were distributed across the white matter randomly, uniformly, or in large diffuse clusters. In most areas, there were no spatial correlations between the vacuoles, glial cell nuclei and GCI. These results suggest: (i) there is significant degeneration of the white matter in MSA characterized by vacuolation and GCI; (ii) the central tegmental tract is affected significantly more than the cortical tracts; (iii) pathological changes are diffusely rather than topographically distributed across the white matter; and (iv) the development of the vacuoles and GCI appear to be unrelated phenomena. © 2007 Japanese Society of Neuropathology.

Spatial patterns of the pathological changes in neuronal intermediate filament inclusion disease (NIFID):an α-internexin immunohistochemical study

Neuronal intermediate filament inclusion disease (NIFID) is characterized by α-internexin positive neuronal cytoplasmic inclusions (NCI), swollen achromatic neurons (SN), neuronal loss, and gliosis. This study tested: 1) whether the spatial patterns of the lesions was topographically organized in areas of the frontal and temporal lobe and 2) whether a spatial relationship exists between the NCI and SN. The NCI were distributed in regular clusters and in a quarter of these areas, the clusters were 400-800 μm in diameter approximating to the size of the cells of origin of the cortico-cortical pathways. Variations in the density of the NCI were positively correlated with the SN. Hence, cortical degeneration in NIFID appears to be topographically organized and may affect the cortico-cortical projections, the clusters of NCI and SN developing within the same vertical columns of cells. © 2007 Springer-Verlag.

Laminar degeneration of the frontal and temporal cortex in neuronal intermediate filament inclusion disease (NIFID): a study using a-internexin immunohistochemistry

Objective: To determine the laminar distribution of the pathological changes in the frontal and temporal lobe in neuronal intermediate filament inclusion disease (NIFID). Method: The distribution of the alpha-intenexin-positive neuronal cytoplasmic inclusions (NCI), surviving neurons, swollen achromatic neurons (SN) and glial cell nuclei was studied across the cortex in gyri of the frontal and temporal lobe in 10 cases of NIFID. Results: The distribution of the NCI was highly variable within different gyri, a peak in the upper cortex, a bimodal distribution with peaks of density in the upper and lower laminae, or no significant variation in density across the cortex. The surviving neurons were either bimodally distributed or exhibited no significant change in density across the cortex. The SN and glial cell nuclei were most abundant in the lower cortical laminae. In half of the gyri, variations in density of the NCI across the cortex were positively correlated with the SN. In some gyri, the surviving neurons were positively correlated with the SN and negatively correlated with the glial cell nuclei. In addition, the SN and glial cell nuclei were positively correlated in over half the gyri studied. Conclusion: The data suggest that frontal and temporal lobe degeneration in NIFID characterized by NCI, SN, neuronal loss and gliosis extends across the cortical laminae with considerable variation between cases and gyri. alpha-internexin-positive neurons in the upper laminae appear to be particularly vulnerable. The gliosis appears to be largely correlated with the appearance of SN and with neuronal loss and not related to the NCI.

Spatial patterns of the pathological changes in the temporal lobe of patients with neuronal intermediate filament inclusion disease

Neuronal intermediate filament inclusion disease (NIFID) is a new neurodegenerative disease characterized histologically by the presence of neuronal cytoplasmic inclusions (NI) immunopositive for intermediate filament proteins, neuronal loss, swollen achromatic neurons (SN), and gliosis. We studied the spatial patterns of these pathological changes parallel to the pia mater in gyri of the temporal lobe in four cases of NIFID. Both the NI and SN occurred in clusters that were regularly distributed parallel to the pia mater, the cluster sizes of the SN being significantly greater than those of the NI. In a significant proportion of areas studied, there was a spatial correlation between the clusters of NI and those of the SN and with the density of the surviving neurons. In addition, the clusters of surviving neurons were negatively correlated (out of phase) with the clusters of glial cell nuclei. The pattern of clustering of these histological features suggests that there is degeneration of the cortico-cortical projections in NIFID leading to the formation of NI and SN within the same vertical columns of cells. The glial cell reaction may be a response to the loss of neurons rather than to the appearance of the NI or SN.

Quantification of the pathological changes in the temporal lobe of patients with a novel neurofilamentopathy: neurofilament inclusion disease (NID)

Objective: To quantify the densities of neurofilament inclusions (NI), swollen achromatic neurons, surviving neurons and glial cells in a novel neurofilamentopathy neurofilament inclusion disease (NID). Material: Sectionsof temporal lobe from 4 cases of NID stained with an antibody raised to neurofilament proteins. Method: Densities of the pathological changes were estimated in the various gyri of the temporal lobe, hippocampus and dentate gyrus. Results: Densities of the NI and swollen achromatic neurons (SN) were greater in the cerebral cortical gyri than in the hippocampus and dentate gyrus. Lesion density was relatively constant between gyri and between the CA sectors of the hippocampus. In cortical gyri, the density of the NI, SN and glial cell nuclei was greater in laminae II/III than laminae V/VI. Densities of the NI were negatively correlated with the surviving neurons and positively correlated with the glial cell nuclei. The density of the SN was positively correlated with that of the surviving neurons. Conclusion: The pathology of NID morphologically resembles that of Pick's disease (PD) and corticobasal degeneration (CBD), but there are distinct differences between NID and these disorders supporting the hypothesis that NID is a novel and unique type of neurodegenerative disease.

A quantitative study of the pathological changes in ten patients with multiple system atrophy (MSA)

The densities of the glial cytoplasmic inclusions (GCI), neuronal inclusions (NI), and abnormal neurons were studied in the frontal cortex, hippocampus, cerebellum, basal ganglia and areas of the pons and medulla in 10 cases of multiple system atrophy (MSA). GCI density was greater in the substantia nigra and globus pallidus compared with the frontal cortex and hippocampus. Abnormal neurons were most abundant in the frontal cortex, substantia nigra, and inferior olivary nucleus. NI and abnormal neuron densities were positively correlated in the globus pallidus but negatively correlated in the hippocampus. The NI and GCI were only positively correlated in the pons. GCI in the pons and inferior olivary nucleus, NI in the substantia nigra, and abnormal neurons in the frontal cortex varied significantly between cases. The MSA cases did not cluster according to disease subtype. The data suggest that: 1) the greatest densities of pathological changes occur in the substantia nigra and globus pallidus, 2) density of the GCI is unrelated to that of the NI, and 3) there is overlapping pathology between the various subtypes of MSA.

Laminar distribution of the pathological changes in the cerebral cortex in variant Creutzfeldt-Jakob disease (vCJD)

To determine the pattern of cortical degeneration in cases of variant Creutzfeldt-Jakob disease (vCJD), the laminar distribution of the vacuolation ("spongiform change"), surviving neurones, glial cell nuclei, and prion protein (PrP) deposits was studied in the frontal, parietal and temporal lobes. The vacuolation exhibited two common patterns of distribution: either the vacuoles were present throughout the cortex or a bimodal distribution was present with peaks of density in the upper and lower cortical laminae. The distribution of the surviving neurones was highly variable in different regions; the commonest pattern being a uniform distribution with cortical depth. Glial cell nuclei were distributed largely in the lower cortical laminae. The non-florid PrP deposits exhibited either a bimodal distribution or exhibited a peak of density in the upper cortex while the florid deposits were either uniformly distributed down the cortex or were present in the upper cortical laminae. In a significant proportion of areas, the density of the vacuoles was positively correlated with either the surviving neurones or with the glial cell nuclei. These results suggest similarities and differences in the laminar distributions of the pathogenic changes in vCJD compared with cases of sporadic CJD (sCJD). The laminar distribution of vacuoles was more extensive in vCJD than in sCJD whereas the distribution of the glial cell nuclei was similar in the two disorders. In addition, PrP deposits in sCJD were localised mainly in the lower cortical laminae while in vCJD, PrP deposits were either present in all laminae or restricted to the upper cortical laminae. These patterns of laminar distribution suggest that the process of cortical degeneration may be distinctly different in vCJD compared with sCJD.

Quantification of the vacuolation (spongiform change) and prion protein deposition in 11 patients with sporadic Creutzfeldt-Jakob disease

The vacuolation (spongiform change) and prion protein (PrP) deposition were quantified in the cerebral cortex, hippocampus and cerebellum of 11 patients with sporadic Creutzfeldt-Jakob disease (CJD). The density of the vacuolation, averaged over patients, was greatest in the occipital cortex and cerebellum and least in the dentate gyrus. The degree of PrP deposition was similar in the different cortical areas and in the cerebellum but significantly lower in the hippocampus and absent in the dentate gyrus. There were no significant differences in the extent of the vacuolation and PrP deposition in the upper and lower cortical laminae. Vacuolation and PrP deposition in the upper cortex were both positively correlated with corresponding levels in the lower cortex. In addition, in the parietal cortex and parahippocampal gyrus, the density of the vacuolation was positively correlated with the level of PrP deposition but no such correlations were observed in the remaining areas studied. This quantitative study suggested that: (1) the pathological changes were most severe in the occipital cortex and cerebellum, while the hippocampus was least affected, (2) the pathological changes affect the upper and lower cortical laminae, and (3) the degree of correlation between the density of the vacuolation and PrP deposition may be dependent on brain region.

A quantitative study of the pathological changes in the cortical white matter in variant Creutzfeldt-Jakob disease (vCJD)

The objective of this study was to determine the degree of white matter pathology in the cerebral cortex in cases of variant Creutzfeldt-Jakob disease (vCJD) and to study the relationships between the white matter and grey matter pathologies. Hence, the pathological changes in cortical white matter were studied in individual gyri of the frontal, parietal, occipital, and temporal cortex in eleven cases of vCJD. Vacuolation (‘spongiform change’), deposition of the disease form of prion protein (PrPsc) in the form of discrete PrP deposits, and gliosis were observed in the white matter of virtually all cortical regions studied. Mean density of the vacuoles in the white matter was greater in the parietal lobe compared with the frontal, occipital, and temporal lobes but there were fewer glial cells in the occipital lobe compared with the other cortical regions. In the white matter of the frontal cortex, vacuole density was negatively correlated with the density of both glial cell nuclei and the PrP deposits. In addition, the densities of glial cells and PrP deposits were positively correlated in the frontal and parietal cortex. In the white matter of the frontal cortex and inferior temporal gyrus, there was a negative correlation between the densities of the vacuoles and the number of surviving neurons in laminae V/VI of the adjacent grey matter. In addition, in the frontal cortex, vacuole density in the white matter was negatively correlated with the density of the diffuse PrP deposits in laminae II/III and V/VI of the adjacent grey matter. The densities of PrP deposits in the white matter of the frontal cortex were positively correlated with the density of the diffuse PrP deposits in laminae II/III and V/V1 and with the number of surviving neurons in laminae V/V1. The data suggest that in the white matter in vCJD, gliosis is associated with the development of PrP deposits while the appearance of the vacuolation is a later development. In addition, neuronal loss and PrP deposition in the lower cortical laminae of the grey matter may be a consequence of axonal degeneration within the white matter.

A quantitative study of the pathological changes in the cortical white matter in variant Creutzfeldt-Jakob disease (vCJD).

Objective: To quantify cortical white matter pathology in variant Creutzfeldt-Jakob disease (vCJD) and to correlate white and grey matter pathologies. Methods: Pathological changes were studied in immunolabeled sections of the frontal, parietal, occipital, and temporal cortex of eleven cases of vCJD. Results: Vacuolation ("spongiform change"), deposition of the disease form of prion protein (PrPsc), and a glial cell reaction were observed in the white matter. The density of the vacuoles was greatest in the white matter of the occipital cortex and glial cell density in the inferior temporal gyrus (ITG). Florid-type PrPsc deposits were present in approximately 50% of white matter regions studied. In the white matter of the frontal cortex (FC), vacuole density was negatively correlated with the densities of both glial cell nuclei and PrPsc deposits. In addition, in the frontal and parietal cortices the densities of glial cells and PrPsc deposits were positively correlated. In the FC and ITG, there was a negative correlation between the densities of the vacuoles in the white matter and the number of surviving neurons in laminae V/VI of the adjacent grey matter. In the FC, vacuole density in the white matter was negatively correlated with the density of the diffuse PrPsc deposits in laminae II/III and V/VI of the adjacent grey matter. In addition, the densities of PrPsc deposits in the white matter of the FC were positively correlated with the density of the diffuse PrPsc deposits in laminae II/III and V/VI and with the number of surviving neurons in laminae V/VI. Conclusion: The data suggest significant degeneration of cortical white matter in vCJD; the vacuolation being related to neuronal loss in the lower cortical laminae of adjacent grey matter, PrPsc deposits the result of leakage from damaged axons, and gliosis a reaction to these changes.

The neuropathology of the occipital cortex and its significance in the visual problems of patients with variant Creutzfeldt-Jakob disease (vCJD)

The occipital lobe is one of the cortical areas most affected by the pathology of variant Creutzfeldt-Jakob disease (vCJD). To understand the visual problems of vCJD patients, neuropathological changes were studied in striate (B17, V1) and extrastriate (B18, V2) regions of the occipital cortex in eleven cases of vCJD. No differences in the density of vacuoles or surviving neurons were observed in B17 and B18 but densities of glial cell nuclei and deposits of the protease resistant form of prion protein (PrPsc) were greater in B18. The density of PrPsc deposits in B17 was positively correlated with their density in B18. The density of the diffuse PrPsc deposits in B17 was negatively correlated with the density of the surviving neurons in B18. In B17 and B18, the vacuoles either exhibited density peaks in laminae II/III and V/VI or were more uniformly distributed across the laminae. Diffuse PrPsc deposits were most frequent in laminae II/III and florid PrPsc deposits more generally distributed. In B18, the surviving neurons were more consistently bimodally distributed and the glial cell nuclei most abundant in laminae V/VI compared with B17. Hence, both striate and extrastriate areas of the occipital cortex are affected by the pathology of vCJD, the pathological changes being most severe in B18. Neuronal degeneration in B18 may be associated with the development of diffuse PrPsc deposits in B17. These data suggest that the short cortico-cortical connections between B17 and B18 and the pathways to subcortical visual areas are compromised in vCJD. Pathological changes in striate and extrastriate regions of the occipital cortex may contribute to several of the visual problems identified in patients with vCJD including oculomotor and visuo-spatial function.