A decrease of reelin expression as a putative vulnerability factor in schizophrenia

Postmortem prefrontal cortices (PFC) (Brodmann’s areas 10 and 46), temporal cortices (Brodmann’s area 22), hippocampi, caudate nuclei, and cerebella of schizophrenia patients and their matched nonpsychiatric subjects were compared for reelin (RELN) mRNA and reelin (RELN) protein content. In all of the brain areas studied, RELN and its mRNA were significantly reduced (≈50%) in patients with schizophrenia; this decrease was similar in patients affected by undifferentiated or paranoid schizophrenia. To exclude possible artifacts caused by postmortem mRNA degradation, we measured the mRNAs in the same PFC extracts from γ-aminobutyric acid (GABA)A receptors α1 and α5 and nicotinic acetylcholine receptor α7 subunits. Whereas the expression of the α7 nicotinic acetylcholine receptor subunit was normal, that of the α1 and α5 receptor subunits of GABAA was increased when schizophrenia was present. RELN mRNA was preferentially expressed in GABAergic interneurons of PFC, temporal cortex, hippocampus, and glutamatergic granule cells of cerebellum. A protein putatively functioning as an intracellular target for the signal-transduction cascade triggered by RELN protein released into the extracellular matrix is termed mouse disabled-1 (DAB1) and is expressed at comparable levels in the neuroplasm of the PFC and hippocampal pyramidal neurons, cerebellar Purkinje neurons of schizophrenia patients, and nonpsychiatric subjects; these three types of neurons do not express RELN protein. In the same samples of temporal cortex, we found a decrease in RELN protein of ≈50% but no changes in DAB1 protein expression. We also observed a large (up to 70%) decrease of GAD67 but only a small decrease of GAD65 protein content. These findings are interpreted within a neurodevelopmental/vulnerability “two-hit” model for the etiology of schizophrenia.

Parametrizations of elliptic curves by Shimura curves and by classical modular curves

Fix an isogeny class

Euler characteristics and elliptic curves

Let E be a modular elliptic curve over ℚ, without complex multiplication; let p be a prime number where E has good ordinary reduction; and let F∞ be the field obtained by adjoining to ℚ all p-power division points on E. Write G∞ for the Galois group of F∞ over ℚ. Assume that the complex L-series of E over ℚ does not vanish at s = 1. If p ⩾ 5, we make a precise conjecture about the value of the G∞-Euler characteristic of the Selmer group of E over F∞. If one makes a standard conjecture about the behavior of this Selmer group as a module over the Iwasawa algebra, we are able to prove our conjecture. The crucial local calculations in the proof depend on recent joint work of the first author with R. Greenberg.

A joint hazard and time scaling model to compare survival curves.

To provide a more general method for comparing survival experience, we propose a model that independently scales both hazard and time dimensions. To test the curve shape similarity of two time-dependent hazards, h1(t) and h2(t), we apply the proposed hazard relationship, h12(tKt)/ h1(t) = Kh, to h1. This relationship doubly scales h1 by the constant hazard and time scale factors, Kh and Kt, producing a transformed hazard, h12, with the same underlying curve shape as h1. We optimize the match of h12 to h2 by adjusting Kh and Kt. The corresponding survival relationship S12(tKt) = [S1(t)]KtKh transforms S1 into a new curve S12 of the same underlying shape that can be matched to the original S2. We apply this model to the curves for regional and local breast cancer contained in the National Cancer Institute's End Results Registry (1950-1973). Scaling the original regional curves, h1 and S1 with Kt = 1.769 and Kh = 0.263 produces transformed curves h12 and S12 that display congruence with the respective local curves, h2 and S2. This similarity of curve shapes suggests the application of the more complete curve shapes for regional disease as templates to predict the long-term survival pattern for local disease. By extension, this similarity raises the possibility of scaling early data for clinical trial curves according to templates of registry or previous trial curves, projecting long-term outcomes and reducing costs. The proposed model includes as special cases the widely used proportional hazards (Kt = 1) and accelerated life (KtKh = 1) models.

Selective vulnerability of late-generated dopaminergic neurons of the substantia nigra in weaver mutant mice.

In homozygous weaver (wv/wv) mutant mice, nearly 50% of the dopaminergic substantia nigra neurons degenerate by postnatal day 20. We have now determined that the total number of dopaminergic neurons in the ventral midbrains of a litter of obligatory homozygous weaver pups and a litter of normal wild-type control pups indicates that no significant differences are present between groups at birth. To test the hypothesis that the subsequent degeneration of these neurons is linked to their time of origin, [3H]thymidine autoradiography was combined with tyrosine hydroxylase immunocytochemistry to construct neurogenetic timetables on postnatal day 20 in wild-type mice and weaver homozygotes. Both groups have the same span of neurogenesis but have statistically different proportions of neurons generated on specific days. In wild-type mice, more than half of the dopaminergic neurons originate on or after embryonic day 12. In contrast, over two-thirds of the surviving dopaminergic neurons in homozygous weaver mice originate on or before embryonic day 11. Our data suggest that the weaver gene does not interfere with the generation of dopaminergic neurons, but it preferentially kills late-generated dopaminergic neurons between birth and postnatal day 20.

Genetic variation in vulnerability to the behavioral effects of neonatal hippocampal damage in rats.

We explored how two independent variables, one genetic (i.e., specific rat strains) and another environmental (i.e., a developmental excitotoxic hippocampal lesion), contribute to phenotypic variation. Sprague-Dawley (SD), Fischer 344 (F344), and Lewis rats underwent two grades of neonatal excitotoxic damage: small and large ventral hippocampal (SVH and LVH) lesions. Locomotion was tested before puberty [postnatal day 35 (P35)] and after puberty (P56) following exposure to a novel environment or administration of amphetamine. The behavioral effects were strain- and lesion-specific. As shown previously, SD rats with LVH lesions displayed enhanced spontaneous and amphetamine-induced locomotion as compared with controls at P56, but not at P35. SVH lesions in SD rats had no effect at any age. In F344 rats with LVH lesions, enhanced spontaneous and amphetamine-induced locomotion appeared early (P35) and was exaggerated at P56. SVH lesions in F344 rats resulted in a pattern of effects analogous to LVH lesions in SD rats--i.e., postpubertal onset of hyperlocomotion (P56). In Lewis rats, LVH lesions had no significant effect on novelty- or amphetamine-induced locomotion at any age. These data show that the degree of genetic predisposition and the extent of early induced hippocampal defect contribute to the particular pattern of behavioral outcome. These results may have implications for modeling interactions of genetic and environmental factors involved in schizophrenia, a disorder characterized by phenotypic heterogeneity, genetic predisposition, a developmental hippocampal abnormality, and vulnerability to environmental stress.