Bringing order to the glutamate chaos in schizophrenia

Recent genetic linkage studies complement the existing evidence that implicates abnormalities in NMDA receptor-mediated neurotransmission in the pathophysiology of schizophrenia. At the same time, advances in our understanding of the complex mechanisms that modulate the function of NMDA receptors suggest several novel sites for pharmacological manipulation of these receptors. This presents exciting opportunities for rational rather than serendipitous discovery of therapeutics for schizophrenia.     

Rarity and chaos

This paper gives counterexamples to previously developed analyses which attempted to link rarity (recurrently small densities) with irregular dynamics in one dimensional difference equation models for population growth. The problem lies in a technical definition of rarity, which turns out to be irrelevant. Nevertheless, certain numerical evidence (bifurcation diagrams for parametrized families) suggests that there are easily calculated upper and lower bounds to densities, which are closely approximated in the chaotic regime.     

Neural network analysis of the pattern of functional connectivity between cerebral areas in schizophrenia

 Recent evidence suggests that the core abnormality of cerebral function in schizophrenia is a disruption of functional connectivity between diverse cerebral sites. Functional connectivity is defined as the correlation between neuronal activity at remote sites. It can be measured using functional imaging techniques such as positron emission tomography (PET). This paper reports an analysis using a neural network to discriminate between the patterns of functional connectivity in schizophrenic patients and healthy subjects. The data was derived from a PET study of regional cerebral blood flow during word generation in 6 healthy subjects and 16 schizophrenic patients with established illness, in whom the clinical diagnosis could be made with confidence. After training on data from two healthy subjects and seven schizophrenic patients, the neural network successfully assigned all members of a test set of four healthy subjects and nine schizophrenic patients to the correct diagnostic category. While this result should be interpreted with caution on account of the small sample size, it indicates that neural network analysis is potentially of value in the diagnosis of schizophrenia. Received: 2 August 1999 / Accepted in revised form: 30 June 2000     

Menstruation, perimenopause, and chaos theory

This article argues that menstruation, including the transition to menopause, results from a specific kind of complex system, namely, one that is nonlinear, dynamical, and chaotic. A complexity-based perspective changes how we think about and research menstruation-related health problems and positive health. Chaotic systems are deterministic but not predictable, characterized by sensitivity to initial conditions and strange attractors. Chaos theory provides a coherent framework that qualitatively accounts for puzzling results from perimenopause research. It directs attention to variability within and between women, adaptation, lifespan development, and the need for complex explanations of disease. Whether the menstrual cycle is chaotic can be empirically tested, and a summary of our research on 20- to 40-year-old women is provided.     

Periodicity and chaos in a photosynthetic system

In this paper experimental results of investigation of the oscillations in a photosynthetic system are presented and a model for their interpretation is suggested. Periodicities in photosynthetic systems detected in earlier studies by physical chemical methods can be also detected by means of recording the potential difference between two point electrodes. The observed dependences demonstrate a wide range of various types of behaviour of the system, working, e.g. in periodic, quasiperiodic, chaotic or pulse regimes. Since the until-now-used 2-dimensional theoretical model, based on the existence of two dominant autocatalytical processes, appeared not to be sufficient for explaining such types of the regimes, a generalized 3-dimensional autocatalytical model is suggested, which is able to explain all the above mentioned photosynthetic regimes.