On the possibility of obtaining non-diffused proximity functions from cloud-chamber data: II. Maximum entropy and Bayesian methods

Zaider, Marco; Minerbo, Gerald

doi:10.1088/0031-9155/33/11/005

Phys. Med. Biol.

1988

DOI: 10.1088/0031-9155/33/11/005

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On the possibility of obtaining non-diffused proximity functions from cloud-chamber data: II. Maximum entropy and Bayesian methods

Marco Zaider

Gerald Minerbo²

Abstract: Maximum entropy and Bayesian methods are applied to an inversion problem which consists of unfolding diffusion from proximity functions calculated from cloud-chamber data. The solution appears to be relatively insensitive to statistical errors in the data (an important feature) given the limited number of tracks normally available from cloud-chamber measurements. It is the first time, to our knowledge, that such methods are applied to microdosimetry.

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Cited by 2 publications

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Hit-size effectiveness approach in radiation protection

Varma¹,

Bond²,

Braby³

et al. 1993

J. Radiol. Prot.

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Reviews the hit-size effectiveness (HSE) approach as applied to radiation protection. Topics discussed include: the rationale for the HSE method, the mathematical description of the formalism, biological end points relevant for the application of HSE in radiation protection, and theoretical and experimental methods for obtaining microdosimetric spectra. The application of HSE requires a mathematical unfolding algorithm. Of several methods proposed the authors have selected a technique based on Bayesian and maximum entropy methodology; this bias-free approach is described. By way of illustration they present a catalogue of currently available HSE functions for different end points: cellular reproductive inactivation, mutation, chromosome aberrations and neoplastic cellular transformation. In each case, the authors indicate the sensitivity of the result to the selected size of the sensitive volume, taken for simplicity as spherical. From this analysis it is concluded that the site size plays only a minor role in selecting the appropriate HSE function; it follows that practical means (e.g. microdosimetric proportional counters) are already at hand to implement the HSE formalism in radiation protection and health physics.

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Hit-size effectiveness approach in radiation protection

Varma¹,

Bond²,

Braby³

et al. 1993

J. Radiol. Prot.

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Experimental Calculations of Droplet Diffusion in a Low-Pressure Cloud Chamber

Briden

Holt²,

Simmons³

1994

Radiation Research

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A low-pressure cloud chamber was used for several years to display the tracks created by the passage of ionizing particles through vapors of interest. The spatial distributions of the ions that were formed were of special interest, but the accuracy with which these distributions could be determined was reduced by the presence of diffusion. This meant that the droplets, when photographed, had moved significantly away from the point of creation of the parent ion. In the present investigation photographs obtained by previous workers have been analyzed in an attempt to quantify the extent to which the droplets had diffused. The results suggest that the diffusion, when converted to standard density (1000 kg/m3), was independent of the pressure inside the cloud chamber and the mixture used. It could be represented by a one-dimensional root-mean-square diffusion distance whose value was calculated to be 2.42 +/- 0.04 nm. Values for the diffusion of thermalized electrons (< approximately 4 eV) before capture to form negative ions were also calculated. They appeared to lie in the range 3.5-5.0 nm, and were again independent of the pressure and nature of the mixture. The magnitude of the diffusion was large enough to mask any measurable prediffusion structure for a distance in the region of 10 nm radially around the track path of the alpha-particle and proton tracks analyzed.

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On the possibility of obtaining non-diffused proximity functions from cloud-chamber data: II. Maximum entropy and Bayesian methods

Cited by 2 publications

References 12 publications

Hit-size effectiveness approach in radiation protection

Hit-size effectiveness approach in radiation protection

Experimental Calculations of Droplet Diffusion in a Low-Pressure Cloud Chamber

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