The effect of cultivation on the size, shape, and persistence of disease patches in fields

Epidemics of soil-borne plant disease are characterized by patchiness because of restricted dispersal of inoculum. The density of inoculum within disease patches depends on a sequence comprising local amplification during the parasitic phase followed by dispersal of inoculum by cultivation during the intercrop period. The mechanisms that control size, shape, and persistence have received very little rigorous attention in epidemiological theory. Here we derive a model for dispersal of inoculum in soil by cultivation that takes account into the discrete stochastic nature of the system in time and space. Two parameters, probability of movement and mean dispersal distance, characterize lateral dispersal of inoculum by cultivation. The dispersal parameters are used in combination with the characteristic area and dimensions of host plants to identify criteria that control the shape and size of disease patches. We derive a critical value for the probability of movement for the formation of cross-shaped patches and show that this is independent of the amount of inoculum. We examine the interaction between local amplification of inoculum by parasitic activity and subsequent dilution by dispersal and identify criteria whereby asymptomatic patches may persist as inoculum falls below a threshold necessary for symptoms to appear in the subsequent crop. The model is motivated by the spread of rhizomania, an economically important soil-borne disease of sugar beet. However, the results have broad applicability to a very wide range of diseases that survive as discrete units of inoculum. The application of the model to patch dynamics of weed seeds and local introductions of genetically modified seeds is also discussed.

Increased dopamine turnover in the prefrontal cortex impairs spatial working memory performance in rats and monkeys.

The selective activation of the prefrontal cortical dopamine system by mild stress can be mimicked by anxiogenic beta-carbolines such as FG7142. To investigate the functional relevance of elevated levels of dopamine turnover in the prefrontal cortex, the current study examined the effects of FG7142 on the performance of spatial working memory tasks in the rat and monkey. FG7142 selectively increased prefrontal cortical dopamine turnover in rats and significantly impaired performance on spatial working memory tasks in both rats and monkeys. Spatial discrimination, a task with similar motor and motivational demands (rats), or delayed response performance following zero-second delays (monkeys) was unaffected by FG7142. Further, biochemical analysis in rats revealed a significant positive correlation between dopamine turnover in the prefrontal cortex and cognitive impairment on the delayed alternation task. The cognitive deficits in both rats and monkeys were prevented by pretreatment with the benzodiazepine receptor antagonist, RO15-1788, which blocked the increase in dopamine turnover and by the dopamine receptor antagonists, haloperidol, clozapine, and SCH23390. These findings indicate that excessive dopamine activity in the prefrontal cortex is detrimental to cognitive functions mediated by the prefrontal cortex.

Quantitative analysis of senile plaques in Alzheimer disease: observation of log-normal size distribution and molecular epidemiology of differences associated with apolipoprotein E genotype and trisomy 21 (Down syndrome).

The discovery that the epsilon 4 allele of the apolipoprotein E (apoE) gene is a putative risk factor for Alzheimer disease (AD) in the general population has highlighted the role of genetic influences in this extremely common and disabling illness. It has long been recognized that another genetic abnormality, trisomy 21 (Down syndrome), is associated with early and severe development of AD neuropathological lesions. It remains a challenge, however, to understand how these facts relate to the pathological changes in the brains of AD patients. We used computerized image analysis to examine the size distribution of one of the characteristic neuropathological lesions in AD, deposits of A beta peptide in senile plaques (SPs). Surprisingly, we find that a log-normal distribution fits the SP size distribution quite well, motivating a porous model of SP morphogenesis. We then analyzed SP size distribution curves in genotypically defined subgroups of AD patients. The data demonstrate that both apoE epsilon 4/AD and trisomy 21/AD lead to increased amyloid deposition, but by apparently different mechanisms. The size distribution curve is shifted toward larger plaques in trisomy 21/AD, probably reflecting increased A beta production. In apoE epsilon 4/AD, the size distribution is unchanged but the number of SP is increased compared to apoE epsilon 3, suggesting increased probability of SP initiation. These results demonstrate that subgroups of AD patients defined on the basis of molecular characteristics have quantitatively different neuropathological phenotypes.