Radionuclide transport model for risk evaluation of high-level radioactive waste in Northwestern China

The proper disposal of high-level radioactive waste (HLRW) is highly challenging. Numerical simulations are helpful methods of evaluating the risks of radionuclide transport. This paper examines the hydrogeological conditions of a prospective HLRW repository in China. A regional radionuclide transport model is first constructed using the TOUGH2-MP/EOS7R module at a site in northwestern China to evaluate radionuclide transport behavior. A flow model calibration under a steady state shows that the simulated and observed hydraulic heads match well. Hypothetical radionuclides (⁹⁰Sr, ¹³⁷Cs, ²³⁵U and ²³⁹Pu) are assumed to be instantaneously released at three locations with large groundwater velocities. Transport modeling shows that ²³⁵U is the most sensitive element and has the plume size (2400 m) after 10,000 years. Sensitivity analyses of parameters, including the permeability, distribution coefficient and diffusion coefficient, are carried out. The results show that the distribution coefficient is the most critical parameter for nuclide transport. These findings will provide a preliminary reference for the radionuclide migration process at a prospective HLRW disposal site, which could be informative for safety analyses and further transport in and around the repository system.     

<Superscript>177</Superscript>Lu-DOTA-coupled minigastrin peptides: promising theranostic agents in neuroendocrine cancers

Treatment with radionuclide labeled regulatory peptides is a promising tool in the management of patients with inoperable receptor positive neuroendocrine tumors. Peptide receptor lutetium-177 radionuclide therapy currently has gained ample attention due to high specific accumulation of regulatory peptides at tumor cell surface and promising characteristics of β- and γ-energy photons of lutetium-177 radionuclide. In this study gastrin peptides analogues were labeled with lutetium-177 by subsequent mixing of ¹⁷⁷LuCl₃ (~?185 MBq), ammonium acetate buffer of 5 pH, gentistic acid, aqueous solution of gastrin peptide analogues (1 mg/mL) and heating the reaction mixture at 98 °C which resulted in high radiochemical yield (>?96%). Chromatographic analysis was carried out to analyze the radiochemical purity. The shelf life and serum stability results showed the labeled peptides are sufficiently stable up to 4-h. Glomerular filtration rate study results showed moderate filtration through kidneys. The GFR values of ¹⁷⁷Lu-MGCL2 and ¹⁷⁷Lu-MGCL4 was noted 48 mL/min and 45 mL/min, respectively. Biodistribution and scintigraphy study using rat and rabbit models showed minimal non-target accumulation, moderate uptake by liver and kidneys. The promising radiochemical yield, stability, GFR values and biodistribution results of ¹⁷⁷Lu-MGCL2 & 4 indicate, the agents can be tested clinically for PRRT procedures.     

CFD simulation of mixing in anaerobic digesters

A three-dimensional CFD model incorporating the rheological properties of sludge was developed and applied to quantify mixing in a full-scale anaerobic digester. The results of the model were found to be in good agreement with experimental tracer response curve. In order to predict the dynamics of mixing, a new parameter, UI (uniformity index) was defined. The visual patterns of tracer mixing in simulation were well reflected in the dynamic variation in the value of UI. The developed model and methods were applied to determine the required time for complete mixing in a full-scale digester at different solid concentrations. This information on mixing time is considered to be useful in optimizing the feeding cycles for better digester performance.     

Liposome-Mediated Delivery of Radionuclides to Tumor Models for Cancer Radiotherapy: A Quantitative Analysis

Abstract

Towards the design of therapeutically effective liposome-radionuclide conjugates, the predominant focus should rest with the ability of such modalities to efficiently target tumor sites and thus selectively deliver cytotoxic levels of radiation doses. For this reason analytic dosimetric calculations were carried out to quantitatively examine the critical physical parameters for the potential clinical application of radionuclide-liposome conjugates in internal radiotherapy. The radiodosimetric model employed followed the mathematical formalism of the MIRD (Medical Internal Radiation Dose Committee) scheme. Analytic pharmacokinetic functions for a variety of liposome constructs coupled with the radiation properties of three of the most promising particle emitting radionuclides: Cu-67, Re-188, At-211 and the most widely used in the clinic 1-131, were used as input information to the model developed. Results are presented in the form of radiation absorbed doses and tumor-to-normal-tissue radiation ratios. It is concluded that liposome-mediated radionuclide tumor targeting for radiotherapy is certainly promising, and critically dependent on the optimal matching between radionuclide half-life and the time range when the tumor-to-(critical)organ liposome accumulation ratios become maximal. Liposome-mediated chemotherapy (drug targeting) is also comparatively discussed demonstrating the predominant importance of “timing factors” in the case of radiotherapeutic (radionuclide targeting) applications.     

Mathematical modeling of non-ideal mixing continuous flow reactors for anaerobic digestion of cattle manure

Most conventional digesters used for animal wastewater treatment include continuously stirred-tank reactors. While imperfect mixing patterns are more common than ideal ones in real reactors, anaerobic digestion models often assume complete mixing conditions. Therefore, their applicability appears to be limited. In this study, a mathematical model for anaerobic digestion of cattle manure was developed to describe the dynamic behavior of non-ideal mixing continuous flow reactors. The microbial kinetic model includes an enzymatic hydrolysis step and four microbial growth steps, together with the effects of substrate inhibition, pH and thermodynamic considerations. The biokinetic expressions were linked to a simple two-region liquid mixing model, which considered the reactor volume in two separate sections, the flow-through and the retention regions. Deviations from an ideal completely mixed regime were represented by changing the relative volume of the flow-through region (a) and the ratio of the internal exchange flow rate to the feed flow rate (b). The effects of the hydraulic retention time, the composition of feed, the initial conditions of the reactor and the degree of mixing on process performance can be evaluated by the dynamic model. The simulation results under different conditions showed that deviations from the ideal mixing regime decreased the methane yield and resulted in a reduced performance of the anaerobic reactors. The evaluation of the impact of the characteristic mixing parameters (a) and (b) on the anaerobic digestion of cattle manure showed that both liquid mixing parameters had significant effects on reactor performance.     

Theoretical apects of the distribution and retention of radionuclides in biological systems

A general model of radionuclide metabolism in biological systems is developed. This model is used to investigate the effects of the internal dynamics of such systems upon the clearance of radionuclides from them. Both tracer and non-tracer amounts of radionuclides are considered.     

The assessment of 137Cs accumulation by pine tree plantations in the closest radioactive fallouts originated from the Chernobyl Nuclear Power Plant

The assessment of 137Cs accumulation by wood is made by using a chamber model of radionuclide behavior. Maximum of 137Cs specific activity in wany wood was in the midst of 1990s, with subsequent decrease in activity and half-time up to 22 to 25 years.     

Discrete particle simulations predicting mixing behavior of solid substrate particles in a rotating drum fermenter.

A soft-sphere discrete particle model was used to simulate mixing behavior of solid substrate particles in a slow rotating drum for solid-state fermentation. In this approach, forces acting on and subsequent motion of individual particles can be predicted. The (2D) simulations were qualitatively and quantitatively validated by mixing experiments using video and image analysis techniques. It was found that the simulations successfully predicted the mixing progress as a function of the degree of filling and size of the drum. It is shown that only relatively large, straight baffles perpendicular to the drum wall (67% of the drum radius) increase the mixing performance of the rotating drum. Considering the different aspects of mixing dealt with in this work, it is concluded that the soft sphere discrete particle model can serve as a valuable tool for investigating mixing of solid substrate particles. Finally, it is expected that this model may evolve into a potential tool for design and scale-up of mixed solid-state fermenters.     

90Sr, 137Cs, 238Pu, 239+240Pu,and 241Am radionuclides in macrophytes within the Krasnensky flood plain: species specificity of concentration and distribution in phytocenosis components

The analysis of the content of radionuclides 90Sr, 137Cs, 238Pu, 239 + 240Pu and 241Am in water vegetation of flood plain reservoirs has allowed studing features of radionuclide accumulation by various species of macrophytes and revealing bioindicators of radionuclide contamination. Thus species-specificity of radionuclide accumulation can essentially change the contribution of different species to a percentage ratio of the radionuclide content in phytomass of reservoirs in comparison with fund of higher aquatic plants.     

Modelling of long-term radionuclide migration in a non-running fresh-water reservoir

A mathematical model is presented for radionuclide migration in a non-running fresh-water reservoir that takes into account removal of microimpurities from water as a result of both molecular and ion exchange sorption at the bottom sediments water interface and detritus formation. The model was tested for sensitivity to precisely estimate experimental parameters. The test showed that the model is universal. Prediction was made of reduction in water of 137Cs and 90Sr contents and distribution of these radionuclides in the water body affected by the accident at the "Mayak" chemical plant.     

Like-with-like preference and sexual mixing models

Two new general methods for incorporating like-with-like preference into one-sex mixing models in epidemiology are presented. The first is a generalization of the preferred mixing equation, while the second comprises a transformation of a general preference function for partners of similar sexual activity levels. Both methods satisfy the constraints implicit in a mixing model. The behavior of the transformation preference method is illustrated, and it is compared with the standard proportionate mixing model.     

Observations Relating to the Efficiency of Mixing in Rapid Reaction Flow Devices

The principle of dimensional analysis of liquid flow has been applied to the problem of rapid mixing in flow apparatus. A model of the Hartridge-Roughton mixing chamber and observation tube has been scaled approximately 1/1.000 so that the times after mixing are approximately 6 s, the flow velocities are the order of 2 cm/s, and the distance from mixing to observation is 120 mm. Visual observation is employed to observe the end point of the mixing of acid-base with a color indicator, thymol blue. Quantitative estimates of the effect of the number of jets, the effect of screens placed in the flow stream, and the angle of jets, one with respect to another, lead to quantitative evaluations of these parameters for the scale model. The extent to which these parameters apply to the full-scale apparatus at faster flow velocities suggest that the general principles employed in the scale model are valid, although more emphasis is placed upon turbulence generation at the low flow velocities employed in this experiment than at the faster flow velocities employed in the full-scale apparatus.     

核素迁移的二维非平衡吸附数值模式研究

为了进一步研究核素在孔隙介质中的迁移规律,本文将水动力弥散方程与核素在孔隙介质中非平衡吸附关系式相耦合,建立了非平衡吸附数值模式,并给出了非平衡吸附数值模式中吸附解吸速率参数的获取方法．为了检验所建模式与编制的程序的正确性,利用试验场（８５）Ｓｒ迁移的野外试验资料进行了计算,并与核素迁移平衡吸附数值模式的计算结果进行了对比．结果表明,二维非平衡吸附核素迁移数值模式能够更好地描述核素迁移实际．     

Analysis of membrane fusion as a two-state sequential process: evaluation of the stalk model

We propose a model that accounts for the time courses of PEG-induced fusion of membrane vesicles of varying lipid compositions and sizes. The model assumes that fusion proceeds from an initial, aggregated vesicle state ((A) membrane contact) through two sequential intermediate states (I(1) and I(2)) and then on to a fusion pore state (FP). Using this model, we interpreted data on the fusion of seven different vesicle systems. We found that the initial aggregated state involved no lipid or content mixing but did produce leakage. The final state (FP) was not leaky. Lipid mixing normally dominated the first intermediate state (I(1)), but content mixing signal was also observed in this state for most systems. The second intermediate state (I(2)) exhibited both lipid and content mixing signals and leakage, and was sometimes the only leaky state. In some systems, the first and second intermediates were indistinguishable and converted directly to the FP state. Having also tested a parallel, two-intermediate model subject to different assumptions about the nature of the intermediates, we conclude that a sequential, two-intermediate model is the simplest model sufficient to describe PEG-mediated fusion in all vesicle systems studied. We conclude as well that a fusion intermediate "state" should not be thought of as a fixed structure (e.g., "stalk" or "transmembrane contact") of uniform properties. Rather, a fusion "state" describes an ensemble of similar structures that can have different mechanical properties. Thus, a "state" can have varying probabilities of having a given functional property such as content mixing, lipid mixing, or leakage. Our data show that the content mixing signal may occur through two processes, one correlated and one not correlated with leakage. Finally, we consider the implications of our results in terms of the "modified stalk" hypothesis for the mechanism of lipid pore formation. We conclude that our results not only support this hypothesis but also provide a means of analyzing fusion time courses so as to test it and gauge the mechanism of action of fusion proteins in the context of the lipidic hypothesis of fusion.     

Rock-scissors-paper game in a chaotic flow: the effect of dispersion on the cyclic competition of microorganisms

Laboratory experiments and numerical simulations have shown that the outcome of cyclic competition is significantly affected by the spatial distribution of the competitors. Short-range interaction and limited dispersion allows for coexistence of competing species that cannot coexist in a well-mixed environment. In order to elucidate the mechanisms that destroy species diversity we study the intermediate situation of imperfect mixing, typical in aquatic media, in a model of cyclic competition between toxin producing, sensitive and resistant phenotypes. It is found, that chaotic mixing, by changing the character of the spatial distribution, induces coherent oscillations in the populations. The magnitude of the oscillations increases with the strength of mixing, leading to the extinction of some species beyond a critical mixing rate. When mixing is non-uniform in space, coexistence can be sustained at much stronger mixing by the formation of partially isolated regions, that prevent global extinction. The heterogeneity of mixing may enable toxin producing and sensitive strains to coexist for very long time at strong mixing.     

CFD simulation of mixing for high-solids anaerobic digestion

A computational fluid dynamics (CFD) model that simulates mechanical mixing for high-solids anaerobic digestion was developed. Numerical simulations of mixing manure slurry which exhibits non-Newtonian pseudo-plastic fluid behavior were performed for six designs: (i) one helical ribbon impeller; (ii) one anchor impeller; (iii) one curtain-type impeller; (iv) three counterflow (CF-2) impellers; (v) two modified high solidity (MHS 3/39°) impellers; and (vi) two pitched blade turbine impellers. The CFD model was validated against measurements for mixing a Herschel-Bulkley fluid by ribbon and anchor impellers. Based on mixing time with respect to mixing energy level, three impeller types (ribbon, CF-2, and MHS 3/39°) stand out when agitating highly viscous fluids, of these mixing with two MHS 3/39° impellers requires the lowest power input to homogenize the manure slurry. A comparison of digestion material demonstrates that the mixing energy varies with manure type and total solids concentration to obtain a given mixing time. Moreover, an in-depth discussion about the CFD strategy, the influences of flow regime and impeller type on mixing characteristics, and the intrinsic relation between mixing and flow field is included.     

A three-dimensional general circulation model of the surface layers of Lake Baikal

A three-dimensional general circulation model has been developed to investigate mixing processes in Lake Baikal, Siberia. Emphasis is placed on the 4–5-month period when the lake is completely ice-covered, a time of particular importance to the re-population of the lake by diatoms. The model represents the top 250 m and includes a new mixing scheme developed specifically for the investigation of under-ice flows. The effects of spatial patterns of snow and ice transparency on circulation and temperature are investigated. In general, temperature profiles provide an indication of the extent and depth of mixing and are highly sensitive to the presence of snow and to the transparency of ice. Generated profiles agree well with in situ measurements, which are difficult to obtain during this period. The model is shown to be particularly successful in simulating mixing processes in Lake Baikal. The surface heat fluxes that are required for a model of this type were estimated using satellite data, which provide complete coverage of the lake within one image. An increase in albedo values of 20% has no significant impact on the development of the temperature profile. Finally, density driven currents generated in the model were investigated. The magnitudes of the model currents compared to observations suggest that the background flow under ice in the lake may be density driven.     

Simulation of water-bloom formation in the cyanobacterium Microcystis aeruginosa

A mechanism for buoyancy increases in the cyanobacterium Microcystisaeruginosa and the associated formation of surface water-bloomsis presented. The mechanism is based on considering a responsetime in the rate of carbohydrate accumulation. When irradianceincreases, the Microcystis cells may require time to increasetheir rate of carbohydrate accumulation. If irradiance decreasesbefore adjustment, the maximum rate of carbohydrate accumulationis not reached. Colony buoyancy increases during mixing whenthe time scales of the light fluctuations are shorter than theresponse time. To examine the mechanism, a model of Microcystisbuoyancy that incorporates the response time has been coupledwith a hydrodynamics model that simulates mixing. The modelwas applied to a shallow lake to show that a prolonged episodeof intense mixing caused the simulated Microcystis coloniesto become excessively buoyant. Once the mixing subsided, thecolonies accumulated at the surface. Decreases in carbohydratewere reduced in large colonies as their size afforded buoyancyforces that could readily overcome the entraining forces ofthe mixing.     

Modelling of 137Cs migration in agroecosystems under safety and rehabilitation measures

Mathematical model describing dynamics of 137Cs transfer in agroecosystems under rehubilitation measures on arable, haylands, pastures and natural meadow ecosystems is presented. Possibilities of the model application for prediction of the radionuclide content in agricultural production and estimation of efficiency of countermeasures in region of the ChNPP accident are shown.