Evaluating four mathematical models for nitrous oxide production by autotrophic ammonia‐oxidizing bacteria

There is increasing evidence showing that ammonia‐oxidizing bacteria (AOB) are major contributors to N₂O emissions from wastewater treatment plants (WWTPs). Although the fundamental metabolic pathways for N₂O production by AOB are now coming to light, the mechanisms responsible for N₂O production by AOB in WWTP are not fully understood. Mathematical modeling provides a means for testing hypotheses related to mechanisms and triggers for N₂O emissions in WWTP, and can then also become a tool to support the development of mitigation strategies. This study examined the ability of four mathematical model structures to describe two distinct mechanisms of N₂O production by AOB. The production mechanisms evaluated are (1) N₂O as the final product of nitrifier denitrification with NO as the terminal electron acceptor and (2) N₂O as a byproduct of incomplete oxidation of hydroxylamine (NH₂OH) to NO. The four models were compared based on their ability to predict N₂O dynamics observed in three mixed culture studies. Short‐term batch experimental data were employed to examine model assumptions related to the effects of (1) NH concentration variations, (2) dissolved oxygen (DO) variations, (3) NO accumulations and (4) NH₂OH as an externally provided substrate. The modeling results demonstrate that all these models can generally describe the NH, NO, and NO data. However, none of these models were able to reproduce all measured N₂O data. The results suggest that both the denitrification and NH₂OH pathways may be involved in N₂O production and could be kinetically linked by a competition for intracellular reducing equivalents. A unified model capturing both mechanisms and their potential interactions needs to be developed with consideration of physiological complexity. Biotechnol. Bioeng. 2013; 110: 153–163. © 2012 Wiley Periodicals, Inc.     

Characterization of a biofilm membrane reactor and its prospects for fine chemical synthesis

Biofilms are known to be robust biocatalysts. Conventionally, they have been mainly applied for wastewater treatment, however recent reports about their employment for chemical synthesis are increasingly attracting attention. Engineered Pseudomonas sp. strain VLB120ΔC biofilm growing in a tubular membrane reactor was utilized for the continuous production of (S)‐styrene oxide. A biofilm specific morphotype appeared in the effluent during cultivation, accounting for 60–80% of the total biofilm irrespective of inoculation conditions but with similar specific activities as the original morphotype. Mass transfer of the substrate styrene and the product styrene oxide was found to be dependent on the flow rate but was not limiting the epoxidation rate. Oxygen was identified as one of the main parameters influencing the biotransformation rate. Productivity was linearly dependent on the specific membrane area and on the tube wall thickness. On average volumetric productivities of 24 g L day^?1 with a maximum of 70 g L day^?1 and biomass concentrations of 45 g_BDW L have been achieved over long continuous process periods (≥50 days) without reactor downtimes. Biotechnol. Bioeng. 2010. 105: 705–717. © 2009 Wiley Periodicals, Inc.     

Derepressive effect of NH on hydrogen production by deleting the glnA1 gene in Rhodobacter sphaeroides

Purple non‐sulfur (PNS) bacteria produce hydrogen by photofermentation of organic acids in wastewater. However, NH in wastewater may inhibit hydrogen synthesis by repressing the expression and activity of nitrogenase, the enzyme catalyzing hydrogen production in PNS bacteria. In this study, the Rhodobacter sphaeroides 6016 glnA gene encoding glutamine synthetase (GS) was knocked out by homologous recombination, and the effects on hydrogen production and nitrogenase activity were examined. Using 3 mM glutamine as the nitrogen source, hydrogen production (1,245–1,588 mL hydrogen/L culture) and nitrogenase activity were detected in the mutant in the presence of relatively high NH concentrations (15–40 mM), whereas neither was detected in the wild‐type strain under the same conditions. Further analysis indicated that high NH concentrations greatly inhibited the expression of nifA and nitrogenase gene in the wild‐type strain but not in the glnA1^? mutant. These observations suggest that GS is essential to NH repression of nitrogenase and that deletion of glnA1 results in the complete derepression of nitrogenase by preventing NH assimilation in vivo, thus relieving the inhibition of nifA and nitrogenase gene expression. Knocking out glnA1 therefore provides an efficient approach to removing the inhibitory effects of ammonium ions in R. sphaeroides and possibly in other hydrogen‐producing PNS bacteria. Biotechnol. Bioeng. 2010;106: 564–572. © 2010 Wiley Periodicals, Inc.     

Performance of a pilot-scale packed bed reactor for perchlorate reduction using a sulfur oxidizing bacterial consortium

A novel sulfur‐utilizing perchlorate reducing bacterial consortium successfully treated perchlorate (ClO) in prior batch and bench‐scale packed bed reactor (PBR) studies. This study examined the scale up of this process for treatment of water from a ClO and RDX contaminated aquifer in Cape Cod Massachusetts. A pilot‐scale upflow PBR (～250‐L) was constructed with elemental sulfur and crushed oyster shell packing media. The reactor was inoculated with sulfur oxidizing ClO reducing cultures enriched from a wastewater seed. Sodium sulfite provided a good method of dissolved oxygen removal in batch cultures, but was found to promote the growth of bacteria that carry out sulfur disproportionation and sulfate reduction, which inhibited ClO reduction in the pilot system. After terminating sulfite addition, the PBR successfully removed 96% of the influent ClO in the groundwater at an empty bed contact time (EBCT) of 12 h (effluent ClO of 4.2 µg L^?1). Simultaneous ClO and NO reduction was observed in the lower half of the reactor before reactions shifted to sulfur disproportionation and sulfate reduction. Analyses of water quality profiles were supported by molecular analysis, which showed distinct groupings of ClO and NO degrading organisms at the inlet of the PBR, while sulfur disproportionation was the primary biological process occurring in the top potion of the reactor. Biotechnol. Bioeng. 2012; 109:637–646. © 2011 Wiley Periodicals, Inc.     

Studies on ventilation of culture broths. I. Behavior of CO2 in model systems

The rate of dissolution and dehydration of CO₂ in a liquid model system was investigated. Components in the model system established the main conditions which may exist, in the extracellular space of a microbiological culture liquid. The charge in voltage of a glass electrode was measured which indicated the formation of H⁺ ions in the H₂CO₃ ? HCO H⁺ reaction. The rate of CO₂ hydration increased with the increase of temperature from 0 to 40°C. Likewise the equilibrium of the reaction was shifted towards the forward reaction. Similar results were observed when the tip velocity of the impeller was increased. Data suggest that agitation promotes the dissolution of CO₂ in the culture liquid through the reduction of gas-liquid film resistance in the diffusion of this gas. The rate of hydration of CO₂ into the bulk of the liquid was independent of pCO₂ above the surface of the liquid but depended on pCO₂ in the gas bubble within the liquid. The concentration of HCO was, furthermore, influenced by the buffer components, buffer capacity, and the viscosity of the system. Since pCO₂ and the HCO concentration in the extracellular space depend on both physical and chemical factors, the ventilation of a culture liquid necessitates both exhaust of CO₂ from the gas bubbles of the culture broth and shift of the H₂CO₃ ? HCO + H⁺ reaction towards the backward direction.     

Removal of nitrate and hexavalent uranium from groundwater by sequential treatment in bioreactors packed with elemental sulfur and zero‐valent iron

The bioreduction of soluble hexavalent uranium (U^VI) to insoluble tetravalent uranium (U^IV) is an attractive bioremediation strategy for the clean‐up of contaminated groundwater. High levels of the common occurring co‐contaminant, nitrate ( ), can potentially interfere with uranium bioremediation. In this study, treatment of a synthetic groundwater containing a mixture of and U^VI was investigated in a sulfur–limestone autotrophic denitrifying (SLAD) bioreactor that was coupled in series with a bioreactor packed with zero‐valent iron (Fe⁰, ZVI) and sand. An additional aim of the study was to explore the possible role of biological activity in enhancing the reduction of U^VI by Fe⁰. The SLAD reactor removed efficiently (99.8%) at loadings of up to 20 mmol L d^?1, with near stoichiometric conversion to benign dinitrogen gas (N₂). The ZVI bioreactor subsequently removed uranium (99.8%) at high (0.22 mM) and low (0.02 mM) influent concentrations of the radionuclide. Aqueous uranium was reliably eliminated to below the maximum contaminant level of 30 µg L^?1 (0.13 µM) when the ZVI reactor was operated at average empty bed hydraulic retention times as low as 2.3 h, demonstrating the feasibility of the sequential treatment strategy in packed bed bioreactors. Sequential extraction of the ZVI reactor packing confirmed that uranium was immobilized as U^IV. Uranium removal was enhanced by microbial activity as confirmed by the increased rate of uranium removal in batch assays inoculated with effluent from the ZVI bioreactor and spiked with Fe⁰ compared to abiotic controls. Biotechnol. Bioeng. 2010;107: 933–942. © 2010 Wiley Periodicals, Inc.     

Regulation of nitrogen levels for heterogeneous populations of sewage origin grown in completely mixed reactors

Heterogeneous populations of sewage origin were grown continuously at, dilution rates from 1/12 hr^?1 to dilute-out (1/1 hr^?1) using glucose (1000 mg/l) as carbon source and three concentrations of NH₃-N as the nitrogen source (COD:N = 70:1, 40:1, and 25:1). The effects of nitrogen level and growth rate (dilution rate) on substrate removal, biological solids production, cellular carbohydrate and protein, and NH-N in the effluent were examined. It was found that the optimum level of nitrogen supplementation for the synthetic nitrogen-deficient waste employed should not be based solely on the desired effluent quality with respect to COD removal but should include due consideration of reactor detention time (or dilution rate) and the allowable (or desirable) level of nitrogen leakage in the effluent.     

The influence of environmental conditions on the macromolecular composition of Candida utilis

Glucose-limited chemostat cultures of Candida utilis were cultivated at various pH levels (3.0–7.5), temperatures (15–37.5°C), dilution rates (0.06–0.42 hr^?1), and with different nitrogen sources (NH and NO). The ratio of total nucleic acid to protein increased with increase in dilution rate at constant temperature and decreased with increase in temperature at constant dilution rate. The pattern of these variations is consistent with the hypothesis that the nucleic acid to protein ratio is a function of the ratio of the actual dilution rate to the critical dilution rate corresponding to each one of the cultivation temperatures. This ratio is called “reduced dilution rate.” A basis is proposed on which various microorganisms may be compared with respect to the ratios of cell protein to nucleic acid, RNA, ribosomal RNA, and polysomes.     

Thermodynamic analysis of growth of Methanobacterium thermoautotrophicum

Growth of Methanobacterium thermoautotrophicum, an anaerobic archaebacterium using methanogenesis as the catabolic pathway, is characterized by large heat production rates, up to 13 W g⁻¹, and low biomass yields, in the order of 0.02 C‐mol mol⁻¹ H₂ consumed. These values, indicating a possibly “inefficient” growth mechanism, warrant a thermodynamic analysis to obtain a better understanding of the growth process. The growth‐associated heat production (Δ_rH) and the growth‐associated Gibbs energy dissipation per mol biomass formed (Δ_rG) were −3730 kJ C‐mol⁻¹ and −802 kJ C‐mol⁻¹, respectively. The Gibbs energy change found in this study is indeed unusually high as compared to aerobic methylotrophes, but not untypical for methanogens grown on CO₂. It explains the low biomass yield. Based on the information available on the energetic metabolism and on an ATP balance, the biomass yield can be predicted to be approximately in the range of the experimentally determined value. The fact that the exothermicity exceeds vastly even the Gibbs energy change can be explained by a dramatic entropy decrease of the catabolic reaction. Microbial growth characterized by entropy reduction and correspondingly by unusually large heat production may be called entropy‐retarded growth. © 1999 John Wiley & Sons, Inc. Biotechnol Bioeng 64: 74–81, 1999.     

Scavenging of superoxide anion radical and hydroxyl radical by novel thiazolyl‐thiazolidine‐2,4‐dione compounds

The antioxidant behavior of a series of new synthesized substituted thiazolyl‐thiazolidine‐2,4‐dione compounds (TZDs) was examined using chemiluminescence and electron paramagnetic resonance spin trapping techniques. 5,5‐Dimethyl‐1‐pyrroline‐N‐oxide (DMPO) was used as the spin trap. The reactivity of TZDs with superoxide anion radical (O) and hydroxyl radical (HO^?) was evaluated using potassium superoxide/18‐crown‐6 ether dissolved in dimethylsulfoxide, and the Fenton‐like reaction (Fe²⁺ + H₂O₂), respectively. The results showed that TZDs efficiently inhibited light emission from the O generating system at a concentration of 0.05–1 mmol L^?1 (5–94% reductions were found at 1 mmol L^?1 concentration). The TZD compounds showed inhibition of HO^?‐dependent DMPO–OH spin adduct formation from DMPO (the amplitude decrease ranged from 8 to 82% at 1 mmol L^?1 concentration). The findings showed that examined TZDs had effective activities as radical scavengers. Copyright © 2009 John Wiley & Sons, Ltd.     

Modulation of caffeine contractures in mammalian skeletal muscles by variation of extracellular potassium

Caffeine contractures were induced after K⁺ -conditioning of skeletal muscles from pigs and mice. K⁺ -conditioning is defined as the partial depolarization caused by increasing external potassium (K) with [K⁺]×[Cl^?] constant. Conditioning depolarizations that rendered muscles refractory to brief electrical stimulation still enhanced the contracture tension elicited by subsequent direct caffeine stimulation of sarcoplasmic reticulum (SR) calcium release. The effects of K⁺ -conditioning on caffeine-induced contractures of intact cell bundles reached a maximum at 15–30 mM K and then progressively declined at higher [K⁺]₀. Conditioning with 30 mM K⁺ for 5 min, which inactivates excitation-contraction (EC) coupling in response to action potentials, both increased the magnitude of caffeine contractures 2–10-fold and shifted the contracture threshold toward lower caffeine concentrations. Enhanced sensitivity to caffeine was inhibited by dantrolene (20 μM) and its watersoluble analogue azumolene (150 μM). These drugs decreased caffeine-induced contractures following depolarization with 4–15 mM K⁺ to 25–50% of control tension. The inorganic anion perchlorate (CIO), which like caffeine potentiates twitches, increased caffeine-induced contractures ～? twofold after K⁺ -conditioning (>4 mM). The results suggest that CIO and dantrolene, in addition to caffeine, also influence SR calcium release either directly or by mechanism(s) subsequent to depolarization of the sarcolemma. Moreover, since CIO is known to shift the voltage-dependence of intramembrane charge movement, CIO may exert effects on the transverse-tubule voltage sensors as well as the SR. © 1995 Wiley-Liss, Inc.     

Variable coupling of active NA+ + K+ transport in Ehrlich ascites tumor cells: Regulation by external NA+ and K+

The effects of altered external sodium and potassium concentrations on steady state, active Na⁺ + K⁺ transport in Ehrlich ascites tumor cells have been investigated. Membrane permeability to Na⁺ and K⁺, intracellular [Na⁺] and [K⁺], and membrane potential were measured. Active cation fluxes were calculated as equal and membrane potential were measured. Active cation fluxes were calculated as equal and opposite to the net, diffusional leak fluxes. Elevation of external K⁺ (6–60 Mm)by equivalent replacement of Na⁺ (154–91 mM) inhibits both active Na⁺ and K⁺ fluxes, but not proportionally. This results in a decrease of the coupling ratio (r_p = -J_k^p/J) as external K⁺ is increased. Elevation of external K⁺ (3–68 mM) at constant Na⁺ (92mM) inbibits J, but is without effect on J. The coupling ratio declines from 1.01 ± 0.14 to 0.07 ± 0.05, a 14-fold alteration. Reduction of external Na⁺ (154–25 mM) at constant K⁺ (6mM) depresses J, but is without effect on J. The coupling ratio increases from 0.63 ± 0.04 at 154 mM Na⁺ to 4.5 ± 2.04 at 25 mM Na⁺. The results of this investigation are consistent with the independent regulation of active cation fluxes by the transported species. Kinetic analysis of the data indicates that elevation of external sodium stimulates active sodium efflux by interacting at “modifier sites” at the outer cell surface. Similarly, external potassium inhibits active potassium influx by interaction at separate modifier sites.     

Cation exchange chromatography provides effective retrovirus clearance for antibody purification processes

One measure taken to ensure safety of biotherapeutics produced in mammalian cells is to demonstrate the clearance of potential viral contaminants by downstream purification processes. This paper provides evidence that cation exchange chromatography (CEX), a widely used polishing step for monoclonal antibody (mAb) production, can effectively and reproducibly remove xMuLV, a retrovirus used as a model of non‐infectious retrovirus‐like particles found in Chinese hamster ovary cells. The dominant mechanism for xMuLV clearance by the strong cation exchanger, Fractogel SO, is by retention of the virus via adsorption instead of inactivation. Experimental data defining the design space for effective xMuLV removal by Fractogel SO with respect to operational pH, elution ionic strength, loading, and load/equilibration buffer ionic strength are provided. Additionally, xMuLV is able to bind to other CEX resins, such as Fractogel COO^? and SP Sepharose Fast Flow, suggesting that this phenomenon is not restricted to one type of CEX resin. Taken together, the data indicate that CEX chromatography can be a robust and reproducible removal step for the model retrovirus xMuLV. Biotechnol. Bioeng. 2012;109: 157–165. © 2011 Wiley Periodicals, Inc.     

Sensitivity analysis of reaction-diffusion constraints in muscle energetics

Theoretical and experimental studies of aerobic metabolism on a wide range of skeletal muscle fibers have shown that while all fibers normally function within the reaction control regime, some fibers operate near the transition region where reaction control switches to diffusion control. Thus, the transition region between reaction and diffusion control may define the limits of muscle function, and analysis of factors that affect this transition is therefore needed. In order to assess the role of all important model parameters, a sensitivity analysis (SA) was performed to define the parameter space where muscle fibers transition from reaction to diffusion control. SA, performed on a previously developed reaction–diffusion model, shows that the maximum rate for the ATPase reaction (V_max,ATPase), boundary oxygen concentration in the capillary supply (O), the mitochondrial volume fraction (ε_mito), and the diffusion coefficient of oxygen ( ) are the most sensitive parameters affecting this transition to diffusion control. It is demonstrated that fibers are not limited by diffusion for slow reactions (V_max,ATPase < 25 mM/min), high oxygen supply for the capillaries (O ≥ 35 µM), and large amounts of mitochondria (ε_mito ≥ 0.1). These conditions are applicable to muscle cells spanning a very broad range of animals. Within the diffusion‐controlled region, the overall metabolic rate and ATP concentrations have much higher sensitivity to the diffusion coefficient of oxygen than to the diffusion coefficients of the other metabolites (ATP, ADP, P_i). Biotechnol. Bioeng. 2012; 109:559–571. © 2011 Wiley Periodicals, Inc.     

Characterization of the transition state of Lysozyme unfolding. I. Effect of protein-solvent interactions on the transition state

The influence of proline cis-trans isomerization on the kinetics of lysozyme unfolding was examined carefully according to the theory of Hagerman and Baldwin [(1976) Biochemistry 15, 1462–1473]. As a result, the kinetics of lysozyme unfolding was found to follow the two-state transition model well. The temperature dependencies of k_uf and k_f over a wide temperature range showed that ΔC = 0 and ΔC = ?6.7 kJ K^?1 mol^?1 in solutions of different concentrations of GuHCl. The data observed in solutions containing other denaturants also supported the conclusion that ΔC is nearly equal to zero. The activation enthalpies of unfolding (ΔH) were observed at various concentrations of several kinds of denaturants. They were independent of species and concentrations of denaturants ΔH = 200 kJ mol^?1). These facts indicate that the aspect of interaction between protein and different kinds of solvent molecules varies only slightly during the unfolding to the transition state, that is, the transition state is at compact as the native one. Therefore, it is also suggested that ΔH of 200 kJ mol^?1 is primarily required for the disruption of long-range interactions among different structural domains through a subtle conformational change. We compared the effects of several kinds of denaturants on the unfolding rate. The addition of PrOH more remarkably increases the unfolding rate than do other hydrophilic denaturants. This is probably because PrOH molecules can penetrate into the hydrophobic core of lysozyme, but hydrophilic reagents cannot because of the compactness of the transition state.     

Étude expérimentale de l'auto-association des molécules modèles dipeptidiques. II. Association stéréosélective des molécules énantiomères

Modes of aggregation fo alanine-, norvaline- and valine-contaiing dpepetides with the general formula R₁? C₁O₁? N₂H₂? CHR₂? C₂O₂? N₃H₃? R₃ have been studied in CCl₄ solution by using infrared and nuclear magnetic resonance spectroscopies. Solutions of the pure L isomer and of the racemic mixture do not give identical data. At a given concentration, the racemic mixtrue is more aggregated than the pure enantiomer, and the difference, negligible in the case of alanine derivative, increases wiht the bulkiness of the side cahin R₂. The results show that a selective interaction takes place between enantiomeric molecules, resulting ina dimer associating tow inverse configurated C₅ conformers. The stabilizaion of this dimer proceeds from two symmetrical and intermolecular H₃ … O₁ hydrogen bondings.     

Chemiluminescent assay of various enzyme activites and its application to enzyme immunoassays

A highly sensitive chemiluminescent assay for NAD(P)H have been developed. The principle of the method is as follows; NAD(P)H reduces molecular oxygen to superoxide anion (O) and hydrogen peroxide (H₂O₂) in the presence of 1-methoxy-5-methylphenazinium methyl sulphate (1-MPMS) as electron mediator. The produced O and H₂O₂ can be measured by chemiluminescent reaction using isoluminol (IL) and microperoxidase (m-POD). A linear relationship between chemiluminescence intensity and NAD(P)H concentration (log/log) was obtained ranged from 10^?9 mol/I to 10^?5 mol/I. This chemiluminescent reaction has been coupled to the assay of glucose-6-phosphate dehydrogenase (G6PDH), β-D -galactosidase (β-Gal) and alkaline phosphatase (ALP). The detection limits of G6PDH, β-Gal and ALP were 10^?18 mol, 10^?20 mol and 10^?18 mol per assay, respectively. The chemiluminescent assay of these enzymes applied to chemiluminescent enzyme immunoassay for 17α-hydroxy-progesterone and DNA hybridization assay using these enzymes as label.     

Regulation of changes in cytosolic Ca2+ and Na+ concentrations in rat submandibular gland acini exposed to carbachol and ATP

The relationship between cytosolic concentrations of Ca²⁺ (Ca) and Na⁺ (Na) were studied in preparations of rat submandibular and pancreatic acini loaded with the Ca²⁺-sensitive dye Fura-2 or the Na⁺-sensitive dye SBFI. Pancreatic acini showed no changes in Na during either transient or persistent changes in Ca. Increases in Ca produced by exposure of submandibular gland acini to carbachol, a muscarinic cholinergic agonist, were followed by an increase in Na after a delay of 5–10 s. When Ca²⁺ stores were mobilized without Ca²⁺ influx Na also increased, but in acini loaded with BAPTA, a nonfluorescent Ca²⁺ chelator, the transient increase in Ca²⁺ caused by mobilization of stored Ca²⁺ was virtually abolished, as was the increase in Na. In the presence of ionomycin, increases in Ca were followed by increases in Na. Ca²⁺-dependent increases in Na were abolished in Na⁺-free buffer and by the presence of furosemide, a blocker of Na⁺-K⁺-2Cl⁻ cotransport. In other studies, extracellular ATP (ATP_o) produced an increase in Ca and Na. The steady-state increase in Ca was reduced by increasing extracellular Na⁺ concentrations (Na) in dose-dependent fashion (IC₅₀ = 16.4 ± 4.7 mM Na⁺). Likewise, increasing Na reduced ATP_o-stimulated ⁴⁵Ca²⁺ uptake at steady state (IC₅₀ = 15.8 ± 9.2 mM Na⁺). Changing Na had no effect on carbachol-stimulated increases in Ca. We conclude that, in rat submandibular gland acini, ATP_o promotes an increase in Ca and Na via a common influx pathway and that, under physiologic conditions, Na⁺ significantly limits the ATP_o-stimulated increase in Ca. In the presence of carbachol, however, Na rises in Ca-dependent fashion in submandibular gland acini via stimulation of Na⁺-K⁺-2Cl⁻ cotransport. © 1996 Wiley-Liss, Inc.     

Detection of biological uranium reduction using magnetic resonance

The conversion of soluble uranyl ions (UO) by bacterial reduction to sparingly soluble uraninite (UO_2(s)) is being studied as a way of immobilizing subsurface uranium contamination. Under anaerobic conditions, several known types of bacteria including iron and sulfate reducing bacteria have been shown to reduce U (VI) to U (IV). Experiments using a suspension of uraninite (UO_2(s)) particles produced by Shewanella putrefaciens CN32 bacteria show a dependence of both longitudinal (T₁) and transverse (T₂) magnetic resonance (MR) relaxation times on the oxidation state and solubility of the uranium. Gradient echo and spin echo MR images were compared to quantify the effect caused by the magnetic field fluctuations ( ) of the uraninite particles and soluble uranyl ions. Since the precipitate studied was suspended in liquid water, the effects of concentration and particle aggregation were explored. A suspension of uraninite particles was injected into a polysaccharide gel, which simulates the precipitation environment of uraninite in the extracellular biofilm matrix. A reduction in the T₂ of the gel surrounding the particles was observed. Tests done in situ using three bioreactors under different mixing conditions, continuously stirred, intermittently stirred, and not stirred, showed a quantifiable T₂ magnetic relaxation effect over the extent of the reaction. Biotechnol. Bioeng. 2012; 109:877–883. © 2011 Wiley Periodicals, Inc.     

Construction of Equi-replicated Balanced Block Designs with Block Sizes Exceeding the Number of Treatments

In this note it is shown that the block design with incidence matrix Ñ = [NN… N], where N = c_1hN_h + c_oh (11′–N_h). c_oh and c_1h are any non-negative integers and N_h,h = 1, 2,…,p, are incidence matrices of balanced incomplete block designs with the same number of treatments t, is a balanced block design with the block sizes exceeding the number of treatments. In derivation the matrix M₀, introduced by CALIński (1971) is utilized.