Medizin - Open Access LMU - Teil 07/22 Ludwig-Maximilians-Universität München

The microdosimetric quantities energy imparted, lineal energy, and specific energy are defined with reference to certain volumes but are quantified in terms of frequency distributions of possible values without regard to spatial interrelations. Computer simulations of the patterns of energy deposits seem, therefore, only loosely related to the microdosimetric distributions. In a more general formulation one treats the specific energy and the related microdosimetric quantities as point functions; one deals then with the spatial distribution of their random values and not merely with the frequency of different values. A further extension of the formalism admits reference regions of vanishing size; the inchoate distribution of energy deposits is then the limit case of specific energy. The definitions are related to Matheron's concept of the regularisation of a spatial variable; this is a convolution process that permits a flexible mathematical treatment. One resulting possibility is the definition of specific energy with reference not to the conventional geometry of a sphere or a cylinder but to a disperse region of support. This extension provides distributions of specific energy that are relevant to diffusion or transport processes and it can help to free biophysical models from a one-sided fixation on the concept of geometric targets. The formalism is applied also to the definition of the proximity functions and the related spatial autocorrelation functions.

The current definitions of microdosimetric and dosimetric quantities use the notion of 'ionizing radiation'. However, this notion is not rigorously defined, and its definition would require the somewhat arbitrary choice of specified energy cut-off values for different types of particles. Instead of choosing fixed cut-off values one can extend the system of definitions by admitting the free selection of a category of types and energies of particles that are taken to be part of the field. In this way one extends the system of dosimetric quantities. Kerma and absorbed dose appear then as special cases of a more general dosimetric quantity, and an analogue to kerma can be obtained for charged particle fields; it is termed cema. A modification that is suitable for electron fields is termed reduced cema.

The actions of the reductant ascorbic acid on rat neocortical neurons in vitro was investigated by means of intracellular recordings. At a concentration (500 μM), which reduced the magnitude of dopamine degradation in oxygen-saturated saline solutions by about 50%, ascorbic acid reversibly depressed synaptic potentials and enhanced direct excitability of cortical neurons. The latter effect was not reversible within the observation period. Ascorbic acid did not alter membrane potential and input resistance of the neurons. On the basis of our results we conclude that ascorbic acid is not a useful reductant to avoid oxidation of catecholamines in oxygen-saturated solutions used in electrophysiological experiments in vitro.