Parameter resolution in two models for cell survival after radiation

The resolvability of model parameters for the linear-quadratic and the repair-misrepair models for cell survival after radiation has been studied by Monte Carlo simulations as a function of the number of experimental data points collected in a given dose range and the experimental error. Statistical analysis of the results reveals the range of experimental conditions under which the model parameters can be resolved with sufficient accuracy, and points out some differences in the operational aspects of the two models.     

Linkage effects in a model for cell survival after radiation

A thermodynamic treatment for the effects of radiation on cell survival is proposed. The treatment is an extension of the linear-quadratic model (K.H. Chadwick and H.P. Leenhouts, Phys. Med. Biol. 13 (1973) 78) following the principles of linkage thermodynamics (E. Di Cera, S.J. Gill and J. Wyman, Proc. Natl. Acad. Sci. U.S.A. 85 (1988) 5077). Linkage effects between chemical binding to DNA and radiation action are considered, along with the synergism between different types of radiations. A simple mathematical condition is found for the additivity of radiation doses that result in an isoeffect. The resolvability of the model parameter is investigated by simulations and statistical analysis of the distributions obtained.     

Molecular and cell models of biological effects of heavy ion radiation

Many quantitative models have been developed for the biological effectiveness of radiation of different quality. They differ substantially in their assumptions, and a lack of firm knowledge remains as to the detailed nature of the critical early molecular damage. Analyses of microscopic features of the stochastic structures of radiation tracks have led to hypotheses on the importance of clustered damage in DNA and associated molecules. Clustered damage of greater complexity or severity is suggested to be less repairable and therefore to dominate the biological consequences.Invited paper presented at the International Symposium on Heavy Ion Research: Space, Radiation Protection and Therapy, Sophia-Antipolis, France, 21–24 March 1994     

A dose-rate meter of visible laser radiation

To measure the laser radiation power in the experimental and clinical medicine the authors developed a compact, easily inserted in any laser medical installation power measurer. The measurer consists of the photodetector--silicon photoresistor, temperature-compensating photoresistor, operational amplifier and feeding block. The merit of the measurer is its constructive simplicity, reliability in work.     

Study of dose-rate effects of neutron radiation in a wild-type and a repair-deficient yeasts saccharomyces

We report here a comparative analysis of RBE for lethality of a single pulse (duration 65 micros) of fast neutron with ultra high dose rates (up to 6 x 10(6) Gy/s) and continuous neutron radiation (3.6 x 10(3) s) of the pulse reactor BARS-6. Three diploid strains, one haploid strain and three diploid repair-deficient strains (rad52-1/rad52-1; rad54/rad54; rad2/rad2) were used. The RBE values (D(0gamma)/1D(0n)) of a single pulse and continuous neutron irradiation were equal (1.7-1.8) with maximum RBE (4.1-3.1) in region of low doses (shoulder region). Haploid cells were found to be more (3 times) sensitive to both gamma-rays and neutrons than the wild type. There was no obvious decrease in the RBE of 1.9 in highly sensitive haploid cells as compared with highly resistant diploid cells. The repair-deficient strains (rad52-1/rad52-1; rad54/rad54) were more (up to 10 fold) sensitive to both neutrons and gamma-rays as compared with their parent line. The RBE values of 1.5-1.7 of neutrons for these mutants (independent by of the mode of irradiation) were found. The repair-deficient mutant rad2/rad2 had similar sensitivity as a wild type and a RBE value was 2.0. We have concluded that biological effectiveness of the neutrons of pulse reactor BARS-6 was independent of the dose-rate, differing up to 10(8) fold. The RBE didn't vary significantly with the capacity of cells to repair DNA damages.     

Dose-rate dependent stochastic effects in radiation cell-survival models

Summary When cells are subjected to ionizing radiation the specific energy rate (microscopic analog of dose-rate) varies from cell to cell. Within one cell, this rate fluctuates during the course of time; a crossing of a sensitive cellular site by a high energy charged particle produces many ionizations almost simultaneously, but during the interval between events no ionizations occur. In any cell-survival model one can incorporate the effect of such fluctuations without changing the basic biological assumptions. Using stochastic differential equations and Monte Carlo methods to take into account stochastic effects we calculated the dose-survival relationships in a number of current cell survival models. Some of the models assume quadratic misrepair; others assume saturable repair enzyme systems. It was found that a significant effect of random fluctuations is to decrease the theoretically predicted amount of dose-rate sparing. In the limit of low dose-rates neglecting the stochastic nature of specific energy rates often leads to qualitatively misleading results by overestimating the surviving fraction drastically. In the opposite limit of acute irradiation, analyzing the fluctuations in rates merely amounts to analyzing fluctuations in total specific energyvia the usual microdosimetric specific energy distribution function, and neglecting fluctuations usually underestimates the surviving fraction. The Monte Carlo methods interpolate systematically between the low dose-rate and high dose-rate limits. As in other approaches, the slope of the survival curve at low dose-rates is virtually independent of dose and equals the initial slope of the survival curve for acute radiation.     

Human mammary cell survival following ionizing radiation

We have developed and evaluated methods of culturing defined stromal and epithelial populations of normal human breast cells. These cell populations were used to generate radiation dose/survival curves. The epithelial cell population required specific hormones, growth factors, and conditioned media, as well as fibroblast feeder layers for clonal growth. Stromal cells grew well in a less complex medium. The stromal and parenchymal cell populations of the normal human breast were characterized by light and electron microscopy, immunohistochemical human fibronectin staining, gamma glutamyltranspeptidase histochemical staining, and cell sizing. Survival curves were generated using cells from four donors. The average D0 for epithelial cells was 122 cGy, with an average n value of 2.4. The average D0 and n values for stromal cells were 114 cGy and 2.0. The survival of human breast epithelial cells is compared to that of the cells of the rat mammary gland. The D0 values of both species are essentially the same, while the n value for human epithelial cells is lower. This difference in the n value may be a species specific response to radiation, or may merely reflect a difference in the two assay systems used to generate the survival curves.     

A Markov formulation of the repair-misrepair model of cell survival

Tobias' repair-misrepair (RMR) model of cell survival is formulated as a Markov process, a sequence of discrete repair steps occurring at random times, and the probability of a sequence of viable repairs is calculated. The Markov formulation describes the time evolution of the probability distribution for the number of lesions in a cell. The probability of cell survival is calculated from the distribution of the initial number of lesions and the probabilities of the repair events. The production of lesions is formulated in accordance with the principles of microdosimetry, and the distribution of the initial number of lesions is obtained as an approximation for high and low linear energy transfer cases. The Markov formulation of the RMR model uses the same biological hypotheses as the original version with two statistical approximations deleted. These approximations are the neglect of the effect of statistical fluctuations in calculating the average rate of repair of lesions and the assumption that the final number of unrepaired and lethally misrepaired lesions has a Poisson distribution. The quantitative effect of these approximations is calculated, and a basis is provided for an alternative approach to calculating survival probabilities.     

The variance-covariance method: Microdosimetry in time-varying low dose-rate radiation fields

Summary The variance-covariance method is employed at low doses and in radiation fields of low dose rates from an²⁴¹Am (4 nGy/s) and a⁹⁰Sr (300 nGy/s) source. The preliminary applications and results illustrate some of the potential of the method, and show that the dose average of lineal energy or energy imparted can be determined over a wide range of doses and dose rates. The dose averages obtained with the variance-covariance method in time-varying fields, for which the conventional variance method is not suitable, agree well with results obtained under the condition of constant dose rate. The results are compared to data obtained in terms of the conventional single-event measurements. The method has evident advantages, such as facility and speed of measurement.     

Multilevel models for survival analysis with random effects

A method for modeling survival data with multilevel clustering is described. The Cox partial likelihood is incorporated into the generalized linear mixed model (GLMM) methodology. Parameter estimation is achieved by maximizing a log likelihood analogous to the likelihood associated with the best linear unbiased prediction (BLUP) at the initial step of estimation and is extended to obtain residual maximum likelihood (REML) estimators of the variance component. Estimating equations for a three-level hierarchical survival model are developed in detail, and such a model is applied to analyze a set of chronic granulomatous disease (CGD) data on recurrent infections as an illustration with both hospital and patient effects being considered as random. Only the latter gives a significant contribution. A simulation study is carried out to evaluate the performance of the REML estimators. Further extension of the estimation procedure to models with an arbitrary number of levels is also discussed.     

Dose/dose-rate responses of shrimp larvae to UV-B radiation

Summary Previous work indicated dose-rate thresholds in the effects of UV-B on the near-surface larvae of three shrimp species. Additional observations suggest that the total dose response varies with dose-rate. Below 0.002 Wm^-2 _[DNA] irradiance no significant effect is noted in activity, development, or survival. Beyond that dose-rate threshold, shrimp larvae are significantly affected if the total dose exceeds about 85 Jm^-2 _[DNA]. Predictions cannot be made without both the dose-rate and the dose.These dose/dose-rate thresholds are compared to four-year mean dose/dose-rate solar UV-B irradiances at the experimental site, measured at the surface and calculated for 1 m depth. The probability that the shrimp larvae would receive lethal irradiance is low for the first half of the season of surface occurrence, even with a 44% increase in damaging UV radiation.Contribution No. 1183 from the Department of Oceanography, University of Washington, Seattle, WA 98195, USA     

Incorporating neurophysiological concepts in mathematical thermoregulation models

Skin blood flow (SBF) is a key player in human thermoregulation during mild thermal challenges. Various numerical models of SBF regulation exist. However, none explicitly incorporates the neurophysiology of thermal reception. This study tested a new SBF model that is in line with experimental data on thermal reception and the neurophysiological pathways involved in thermoregulatory SBF control. Additionally, a numerical thermoregulation model was used as a platform to test the function of the neurophysiological SBF model for skin temperature simulation. The prediction-error of the SBF-model was quantified by root-mean-squared-residual (RMSR) between simulations and experimental measurement data. Measurement data consisted of SBF (abdomen, forearm, hand), core and skin temperature recordings of young males during three transient thermal challenges (1 development and 2 validation). Additionally, ThermoSEM, a thermoregulation model, was used to simulate body temperatures using the new neurophysiological SBF-model. The RMSR between simulated and measured mean skin temperature was used to validate the model. The neurophysiological model predicted SBF with an accuracy of RMSR?<?0.27. Tskin simulation results were within 0.37 °C of the measured mean skin temperature. This study shows that (1) thermal reception and neurophysiological pathways involved in thermoregulatory SBF control can be captured in a mathematical model, and (2) human thermoregulation models can be equipped with SBF control functions that are based on neurophysiology without loss of performance. The neurophysiological approach in modelling thermoregulation is favourable over engineering approaches because it is more in line with the underlying physiology.