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Microbial population of spruce soil in Tatachia mountain of Taiwan.

To investigate the role of microorganisms in the ecology and the nutrient transformation of forest soil, soil property, microbial population, biomass and organic acid content of Spruce soil in Tatachia mountain were determined during January 1997 to November 1999. Soil temperatures were between 5.5 and 15.6 degrees C and soil pH ranged from 3.6 to 5.0. Total organic carbon and nitrogen contents ranged from 5.83% to 34.35% and from 0.90% to 3.19%, respectively. C/N ratio was between 7.07 and 18.24. Each gram of dry soil contained microbial biomass carbon 308-870 microg, microbial biomass nitrogen 107-240 microg, malic acid 74-211 nM and succinic acid 32-175 nM. In addition, each gram of dry organic layer contained microbial biomass carbon 216-653 microg, microbial biomass nitrogen 10.3-33.8 microg, formic acid 256-421 nM, acetic acid 301-435 nM, malic acid 795-1027 nM and succinic acid 204-670 nM. About 45.5-90.9% of topsoil samples had higher microbial population than those of subsoil especially in actinomycetes, cellulolytic and phosphate-solubilizing microorganisms. Although rhizosphere of Spruce had higher total organic carbon and total nitrogen content than non-rhizosphere and dwarf bamboo areas, the microbial population had no significant difference among them.

Acids, Acyclic↗

Lateral diffusion of CO2 in leaves of the crassulacean acid metabolism plant Kalanchoe daigremontiana Hamet et Perrier.

Dynamic patchiness of photosystem II (PSII) activity in leaves of the crassulacean acid metabolism (CAM) plant Kalanchoe daigremontiana Hamet et Perrier, which was independent of stomatal control and was observed during both the day/night cycle and circadian endogenous oscillations of CAM, was previously explained by lateral CO2 diffusion and CO2 signalling in the leaves [Rascher et al. (2001) Proc Natl Acad Sci USA 98:11801-11805; Rascher and Luttge (2002) Plant Biol 4:671-681]. The aim here was to actually demonstrate the importance of lateral CO2 diffusion and its effects on localized PSII activity. Covering small sections of entire leaves with silicone grease was used for local exclusion of a contribution of atmospheric CO2 to internal CO2 via transport through stomata. A setup for combined measurement of gas exchange and chlorophyll fluorescence imaging was used for recording photosynthetic activity with a spatiotemporal resolution. When remobilization of malic acid from vacuolar storage and its decarboxylation in the CAM cycle caused increasing internal CO2 concentrations sustaining high PSII activity behind closed stomata, PSII activity was also increased in adjacent leaf sections where vacuolar malic acid accumulation was minimal as a result of preventing external CO2 supply due to leaf-surface greasing, and where therefore CO2 could only be supplied by diffusion from the neighbouring malic acid-remobilizing leaf tissue. This demonstrates lateral CO2 diffusion and its effect on local photosynthetic activity.

Carbon Dioxide↗

Processing effects on the composition of sea buckthorn juice from Hippophae rhamnoides L. Cv. Indian Summer.

Sea buckthorn juice is one product that can be derived from the sea buckthorn berry, a new alternative crop for the Canadian western provinces. Fresh pressed juice separates into three phases when allowed to stand overnight in the refrigerator: an upper cream phase, juice in the middle portion, and a sediment at the bottom. Enzymatic hydrolysis with commercial, broad spectrum carbohydrate hydrolyzing enzyme preparations reduced the juice viscosity, assisted juice separation, and provided an opalescent juice. Soluble solids averaged 10.2 degrees Brix, pH averaged 3.13, ascorbic acid averaged 174.2 mg/100 mL, and titratable acidity averaged 1.97% as malic acid all determined on centrifuged (10 000 rpm, 15 min) juice. Soluble sugars included glucose, fructose, and an unidentified component that was not sucrose or other common soluble monomeric or dimeric sugar. Quinic acid was quantitatively most important, while malic was next, and oxalic, citric, and tartaric acids were minor components. Washing berries by dipping reduced soluble solids (degrees Brix) in juice suggesting uptake of wash water.

Beverages↗

Functional analysis of Kluyveromyces lactis carboxylic acids permeases: heterologous expression of KlJEN1 and KlJEN2 genes.

The present work describes a detailed physiological and molecular characterization of the mechanisms of transport of carboxylic acids in Kluyveromyces lactis. This yeast species presents two homologue genes to JEN1 of Saccharomyces cerevisiae: KlJEN1 encodes a monocarboxylate permease and KlJEN2 encodes a dicarboxylic acid permease. In the strain K. lactis GG1888, expression of these genes does not require an inducer and activity for both transport systems was observed in glucose-grown cells. To confirm their key role for carboxylic acids transport in K. lactis, null mutants were analyzed. Heterologous expression in S. cerevisiae has been performed and chimeric fusions with GFP showed their proper localization in the plasma membrane. S. cerevisiae jen1delta cells transformed with KlJEN1 recovered the capacity to use lactic acid, as well as to transport labeled lactic acid by a mediated mechanism. When KlJEN2 was heterologously expressed, S. cerevisiae transformants gained the ability to transport labeled succinic and malic acids by a mediated mechanism, exhibiting, however, a poor growth in malic acid containing media. The results confirmed the role of KlJen1p and KlJen2p as mono and dicarboxylic acids permeases, respectively, not subjected to glucose repression, being fully functional in S. cerevisiae.

Carboxylic Acids↗

Vacuolar malate uptake is mediated by an anion-selective inward rectifier.

Electrophysiological studies using the patch-clamp technique were performed on isolated vacuoles from leaf mesophyll cells of the crassulacean acid metabolism (CAM) plant Kalanchoë daigremontiana to characterize the malate transport system responsible for nocturnal malic acid accumulation. In the presence of malate on both sides of the membrane, the current-voltage relations of the tonoplast were dominated by a strongly inward-rectifying anion-selective channel that was active at cytoplasmic-side negative voltages. Rectification of the macroscopic conductance was reflected in the voltage-dependent gating of a 3-pS malate-selective ion channel, which showed a half-maximal open probability at -43 mV. Also, the time-averaged unitary currents following a step to a negative voltage corresponded to the time-dependent kinetics of the macroscopic currents, suggesting that the activity of this channel underlies the anion-selective inward rectifier. The inward rectifier showed saturation kinetics with respect to malate (apparent Km of 2.5 mm malate2- activity), a selectivity sequence of fumarate2- > malate2- > Cl- > maleate2- approximately citrate3-, and greater activity at higher pH values (with an apparent pK of 7.1 and maximum activity at around pH 8.0). All these properties were in close agreement with the characteristics of malate transport observed in isolated tonoplast vesicles. Further, 100 microM niflumate reversibly blocked the activity of the 3-pS channel and inhibited both macroscopic currents and malate transport into tonoplast vesicles to the same extent. The macroscopic current densities recorded at physiological voltages and the estimated channel density of 0.2 microm-2 are sufficient to account for the observed rates of nocturnal malic acid accumulation in this CAM plant, suggesting that the 3-pS, inward-rectifying, anion-selective channel represents the principal pathway for malate influx into the vacuole.

Anions↗

Day-night changes of energy-rich compounds in crassulacean acid metabolism (CAM) species utilizing hexose and starch.

BACKGROUND AND AIMS: Plants with crassulacean acid metabolism (CAM) can be divided into two groups according to the major carbohydrates used for malic acid synthesis, either polysaccharide (starch) or monosaccharide (hexose). This is related to the mechanism and affects energy metabolism in the two groups. In Kalanchoë pinnata and K. daigremontiana, which utilize starch, ATP-dependent phosphofructokinase (tonoplast inorganic pyrophosphatase) activity is greater than inorganic pyrophosphate-dependent phosphofructokinase (tonoplast adenosine triphosphatase) activity, but the reverse is the case in pineapple (Ananas comosus) utilizing hexose. To test the hypothesis that the energy metabolism of the two groups differs, day-night changes in the contents of ATP, ADP, AMP, inorganic phosphate (Pi), phosphoenolpyruvate (PEP) and inorganic pyrophosphate (PPi) in K. pinnata and K. daigremontiana leaves and in pineapple chlorenchyma were analysed. METHODS: The contents of energy-rich compounds were measured spectrophotometrically in extracts of tissue sampled in the light and dark, using potted plants, kept for 15 d before the experiments in a growth chamber. KEY RESULTS: In the three species, ATP content and adenylate energy charge (AEC) increased in the dark and decreased in the light, in contrast to ADP and AMP. Changes in ATP and AEC were greater in Kalanchoë leaves than in pineapple chlorenchyma. PPi content in the three species increased in the dark, but on illumination it decreased rapidly and substantially, remaining little changed through the rest of the light period. Pi content of Kalanchoë leaves did not change between dark and light, whereas Pi in pineapple chlorenchyma increased in the dark and decreased in the light, and the changes were far greater than in Kalanchoë leaves. Light-dark changes in PEP content in the three species were similar. CONCLUSIONS: These results corroborate our hypothesis that day-night changes in the contents of energy-rich compounds differ between CAM species and are related to the carbohydrate used for malic acid synthesis.

Adenosine Diphosphate↗

Effect of a Saccharomyces cerevisiae culture on lactate utilization by the ruminal bacterium Selenomonas ruminantium.

The objective of this study was to examine the effects of a Saccharomyces cerevisiae culture (YEA-SACC) on lactate utilization by the predominant ruminal bacterium Selenomonas ruminantium. Lactate uptake was stimulated by YEA-SACC concentrations between 2.5 and 10 g/liter, and the 5-g/liter level increased uptake 3.8-fold. When YEA-SACC concentrations were increased above the 5-g/liter level lactate uptake was decreased, but 10 g/liter still stimulated uptake more than threefold. A filter-sterilized YEA-SACC filtrate also increased lactate uptake more than fourfold at all concentrations tested (10 to 100 microliters/ml), and the 25-microliters/ml level increased uptake ninefold. Growth of S. ruminantium in medium that contained 2 g/liter of DL-lactate was stimulated more than twofold by either 2 or 5% (vol/vol) YEA-SACC filtrate after 24 h. The YEA-SACC filtrate also increased the production of acetate, propionate, total VFA, and YLACTATE (grams of cells/mole of lactate) from lactate-grown cells. Because the increase in propionate production was greater relative to acetate, a decrease in the acetate:propionate ratio was observed. Growth on lactate and uptake of radiolabeled lactate by S. ruminantium was stimulated by a filter-sterilized YEA-SACC filtrate. The concentration of L-malic acid in the YEA-SACC filtrate was 4.9 mM, and it seemed that L-malic acid played a role in the stimulation of growth on lactate as well as lactate uptake by S. ruminantium treated with YEA-SACC.

Animals↗

Synthetic poly(beta-hydroxyalkanoates) with carboxylic acid or primary amine pendent groups and their complexes.

Degradable polyelectrolyte complexes were made by mixing a degradable carboxyl-bearing polyacid, namely poly(beta-malic acid), with a degradable primary amine group-bearing polybase, namely poly(amino serinate), derived from serine. Both oppositely charged polyelectrolytes are functional polymers which belong to the family of poly(beta-hydroxy acid)-type aliphatic polyesters. Poly(amino serinate) polymers were synthesized by a new route starting from the N-carbobenzoxy derivative (N-Z) of DL- or L-serine. These derivatives were allowed to react with mesyl chloride to yield in one step corresponding N-protected derivatives of poly(N-Z-amino serinate) with molar masses in the 20000-40000 range after fractionation. Progressive deprotection of pendent primary amino groups was carried out using a HBr/acetic acid mixture and led to PAS with up to 95% deprotected amine repeat units for less than 15% decrease of the initial molar mass, as shown by N-reprotection with Z groups. Poly(beta-malic acid) and poly(amino serinate) were complexed by mixing aqueous solutions of the two polyelectrolytes: 1-1 neutral precipitates were formed regardless of the respective compositions, provided the molecular weights of both components were high enough. When allowed to age in aqueous media, the solid complexes went rapidly back into solution because of the hydrolytic degradation of at least one of the components. Whether the degradation of one component is affected by that of the other is still unknown.

Amines↗

Extracellular reduction of selenite by a novel marine photosynthetic bacterium.

A novel purple nonsulfur bacterium strain NKPB030619, which has resistance to over 5 mM selenite, was isolated from a marine environment. An initial concentration of 1.1 mM selenite, added to the medium, was decreased to under 0.05 mM within 5 days. The color of the cell suspension turned red within 2 days. The red coloration gradually decreased and black precipitates appeared during 2 weeks of cultivation. Under these conditions, two main types of deposit were formed extracellularly. These deposits were thought to contain red amorphous selenium and black vitreous selenium. The selenite reduction to elemental selenium in this bacterium was induced by the introduction of light and L-malic acid under anaerobic conditions. These results suggest that selenite reduction is coupled with photosynthesis and L-malic acid can serve as the indirect electron donor for its reduction. Phylogenetic analysis based on the 16S rDNA sequence showed that NKPB0360619 belongs to the alpha subdivision of Proteobacteria and is classified into the Rhodobacter species. The highest similarity of 86.2% was observed with R. sphaeroides.

Bacteria↗

Rapid determination of the main organic acid composition of raw Japanese apricot fruit juices using near-infrared spectroscopy.

The potential of near-infrared (NIR) spectroscopy to rapidly determine citric and malic acid contents of raw Japanese apricot (Japanese "ume", also known as the Japanese plum) fruit juice was investigated. In total, 314 raw juice samples with different organic acid compositions were collected over a long growth period, and spectra (1100-1850 nm) of these samples were acquired using an NIR spectrophotometer with a 1-mm path length. Calibrations were performed using a partial least-squares regression method based on a calibration sample set (211 samples), while validations were performed based on a validation sample set (103 samples). The results revealed good agreement between NIR spectroscopy and capillary electrophoresis, including the correlation coefficient (r2), standard error of prediction (SEP), and bias; no statistically (p = 0.05) significant differences were found for these parameters. Moreover, standard deviation ratios of reference data in the validation sample set to the SEP were higher than 3, indicating that NIR spectroscopy may represent an acceptable method for quantitative evaluation of citric and malic acids in raw Japanese apricot fruit juice.

Beverages↗

Maloalcoholic fermentation by immobilized Schizosaccharomyces pombe.

Cells of Schizosaccharomyces pombe TMB 1138, which are capable of metabolizing-malate, was immobilized in calcium alginate gel to carry out maloalcoholic fermentation. Four milliliters of cell suspension containing about 2.0 X 10(7) cells were entrapped in 16 ml of sodium alginate solution in order to prepare 2% Na-alginate (w/v) gel bead. After activation by incubating at 28 degrees C for 24 h in grape juice, 300 beads of immobilized cells were inoculated into the fermentation medium. After fermentation was proceeded at 25 or 28 degrees C for 24 h by shaking, it could metabolize L-malate completely and the total acidity was also reduced. Under the same condition for batch fermentation, it was found that the utilization of L-malic acid was over 97% for the first 7 days in fermentation medium, 85% for the first 4 days in grape juice and 87% for the first 4 days in wine. Furthermore, for the continuous fermentation in wine, the conversion of L-malic acid reached 92% in 24 h and could be maintained at 75% in the following 9 days.

Alginates↗

Organic acids enhance the uptake of lead by wheat roots.

The uptake and bioavailability of lead (Pb) in soil-plant systems remain poorly understood. This study indicates that acetic and malic acids enhance the uptake of Pb by wheat (Triticum aestivum L.) roots under hydroponic conditions. The net concentration-dependent uptake influx of Pb in the presence and absence of organic acids was characterized by Michaelis-Menten type nonsaturating kinetic curves that could be resolved into linear and saturable components. Fitted maximum uptake rates (V (max)) of the Michaelis-Menton saturable component in the presence of acetic and malic acids were, respectively, 2.45 and 1.63 times those of the control, while the Michaelis-Menten K (m) values of 5.5, 3.7 and 2.2 microM, respectively, remained unchanged. Enhanced Pb uptake by organic acids was partially mediated by Ca(2+) and K(+) channels, and also depended upon the physiological function of the plasma membrane P-type ATPase. Uptake may have been further enhanced by an effectively thinner unstirred layer of Pb adjacent to the roots, leading to more rapid diffusion towards roots. X-ray absorption spectroscopic studies provided evidence that the coordination environment of Pb in wheat roots was similar to that of Pb(CH(3)COO)(2)x3H(2)O in that one Pb atom was coordinated to four oxygen atoms via the carboxylate group.

Acetic Acid↗

In vitro properties of a chitosan-bonded bone-filling paste: studies on solubility of calcium phosphate compounds.

The present study investigated properties of various mixtures of organic acids (malic and malonic) and calcium phosphate compounds (beta-tricalcium phosphate, ashed bovine bone, and synthetic hydroxyapatite) with the objective of determining the optimum combination of organic acid and calcium phosphate compound for components of a chitosan-bonded bone-filling paste. beta-tricalcium phosphate was decomposed by malic acid and malonic acid, but these two acids did not decompose synthetic hydroxyapatite and ashed bovine bone. Assessment of ion release from a set paste containing either synthetic hydroxyapatite or ashed bovine bone indicated that only calcium ions were appreciably released after storing and stirring the set paste in physiologic saline for 7 days.

Animals↗

Aluminum speciation studies in biological fluids. Part 7. A quantitative investigation of aluminum(III)-malate complex equilibria and their potential implications for aluminum metabolism and toxicity.

As a nonessential element, aluminum may be toxic at both environmental and therapeutic levels, depending on ligand interactions. Dietary acids that normally occur in fruits and vegetables and commonly serve as taste enhancers are good ligands of the Al(3+) ion. Malic acid is one of these and also one of the most predominant in food and beverages. The present paper reports an examination of its potential influence on aluminum bioavailability through speciation calculations based on Al(III)-malate complex formation constants especially determined for physiological conditions. According to the results obtained, malate appears to be extremely effective in maintaining Al(OH)(3) soluble over the whole pH range of the small intestine under normal dietary conditions. In addition, two neutral Al(III)--malate complexes are formed whose percentages are maximum from very low malate levels. When aluminum is administered therapeutically as its trihydroxide, the amount of metal neutralized by malate peaks as its solubility pH range regresses to its original limits in the absence of malate. The enhancing effect of malate towards aluminum absorption is therefore virtually independent of the aluminum level in the gastrointestinal tract. The presence of phosphate in the gastrointestinal juice is expected to limit the potential influence of malate on aluminum absorption. Under normal dietary conditions, phosphate effectively reduces the fraction of aluminum neutralized by malate but without nullifying it. Aluminum phosphate is predicted to precipitate when aluminum levels are raised as with the administration of aluminum hydroxide, but a significant amount of neutral aluminum malate still remains in solution. Even therapeutic aluminum phosphate is not totally safe in the presence of malate, even at low malate concentrations. As plasma simulations predict that no compensatory effect in favor of aluminum excretion may be expected from malate, simultaneous ingestion of malic acid with any therapeutic aluminum salt should preferably be avoided.

Aluminum↗

An overview of the effects of tobacco ingredients on smoke chemistry and toxicity.

This paper presents an overview of a series of studies designed to assess the influence of 482 tobacco ingredients on cigarette smoke chemistry and toxicity. The studies are: pyrolysis of the ingredients; influence of the ingredients on smoke constituents believed by regulatory authorities to be relevant to smoking-related diseases ("Hoffmann analytes"); influence of the ingredients on in vitro genotoxicity and cytotoxicity of smoke partiulate matter; and influence of the ingredients on the inhalation toxicity of smoke. The present paper brings the salient features of these studies together. A pyrolysis technique has been developed which, as far as practicably possible, mimics the combustion conditions inside a burning cigarette. The results from 291 single-substance ingredients indicate that almost a third would transfer out of the cigarette burning zone at least 99% intact (i.e. less than 1% pyrolysis), and almost two thirds would transfer at least 95% intact. Of the ingredients that underwent some degree of pyrolysis, a few "Hoffmann analytes" were detected amongst the pyrolysis products of 19 ingredients. Taking into account maximum use levels, their maximum pyrolysis levels were generally small and often insignificant compared to the levels typically present in smoke. Possible exceptions were acetaldehyde and benzene from the pyrolysis of malic acid. However, subsequent smoke chemistry studies indicated that the maximum levels predicted from pyrolysis of this involatile substance were overestimated, suggesting that malic acid does not undergo complete pyrolysis in the burning cigarette and/or generates acetaldehyde and benzene at similar rates to that of tobacco on a per weight basis. When added to tobacco, many of the ingredient mixtures produced no significant effect on the levels of many of the "Hoffmann analytes" in smoke, while some produced increases or decreases relative to the relevant control cigarettes. The study has concentrated on the increases. Many of the differences were found to be not significant when the long-term variability of the analytical methodology was taken into account. However, even taking this into account, the smoke formaldehyde levels in two of the test cigarettes were significantly increased relative to their controls, by up to 26 microg (73%). These increases are likely to be due to the pyrolysis of sugars, cellulose and other polysaccharide materials. The activity of smoke particulate matter from cigarettes containing tobacco ingredients has been determined with three in vitro bioassays, two for genotoxicity and one for cytotoxicity. These were the Ames test, the mammalian cell micronucleus assay, and the neutral red uptake cytotoxicity assay. Within the sensitivity and specificity of these bioassays, the specific activity of the cigarette smoke particulate matter was not changed by the addition of ingredients to the cigarette. Three 90-day sub-chronic inhalation studies have been undertaken and histopathological and histomorphometric assessments made within the respiratory tracts of animals exposed to smoke from cigarettes containing the various ingredient mixtures and their control cigarettes. The response due to tobacco smoke exposure was not distinguishable between the test and control cigarettes, indicating that the presence of the ingredients had made no discernable differences to the type and severity of the treatment-related changes.

Administration, Inhalation↗

Diffusional Contribution to Carbon Isotope Fractionation during Dark CO(2) Fixation in CAM Plants.

A mathematical model is developed which can be used to predict in vivo carbon isotope fractionations associated with carbon fixation in plants in terms of diffusion, CO(2) hydration, and carboxylation components. This model also permits calculation of internal CO(2) concentration for comparison with results of gas-exchange experiments. The isotope fractionations associated with carbon fixation in Kalanchoë daigremontiana and Bryophyllum tubiflorum have been measured by isolation of malic acid following dark fixation and enzymic determination of the isotopic composition of carbon-4 of this material. Corrections are made for residual malic acid, fumarase activity, and respiration. Comparison of these data with calculations from the model indicates that the rate of carbon fixation is limited principally by diffusion, rather than by carboxylation. Processes subsequent to the initial carboxylation also contribute to the over-all isotopic composition of the plant.

Journal Article↗

Almitrine bismesylate reduces hypoxic pulmonary vasoconstriction in isolated rat lungs.

The purpose of this study is to test how almitrine bismesylate (Alm) affects the function of pulmonary vasculature during normoxic ventilation, and whether low doses of Alm not causing detectable vasoconstriction during normoxic ventilation potentiate hypoxic pulmonary vasoconstriction (HPVC). Isolated Wistar male rat lungs were perfused with homologous blood at constant flow, and venous and ventilatory pressure. In the first experiment, after equilibration, dose-response curves to Alm (from 0 to 1000 ng/ml, n = 10) were measured under the ventilation with normoxic gas mixture (21% O2, 5% CO2, 74% N2). It was found that Alm causes a dose-dependent pulmonary vasoconstriction. In the second experiment, low doses of Alm (125 mg/ml) or diluent of Alm (malic acid) was injected to the blood reservoir. This doses of Alm did not cause significant vasoconstriction during normoxic gas ventilation compared with malic acid. After stabilization of pulmonary arterial pressure, the lungs were exposed to three cycles of normoxia (10 min) and hypoxia (10 min) through ventilation with gas containing 21% or 2% O2 and 5% CO2. It was observed that low doses of Alm significantly reduce HPVC (p less than 0.05) on the later periods of the first and the second hypoxic challenges. However, no significant difference was revealed among two groups in the third hypoxic challenge. Directly measured blood Alm concentration was significantly lower in the third challenge than in the first challenge. Responses to angiotensin II were not decreased by Alm. In conclusion, high doses of Alm constrict pulmonary vasculature dose-dependently, and low doses of the drug not causing vasoconstriction during normoxia reduce HPVC in rat.

Almitrine↗

Controlled malolactic fermentation in cider using Oenococcus oeni immobilized in alginate beads and comparison with free cell fermentation.

Cells of Oenococcus oeni (formerly Leuconostoc oenos) immobilized in alginate beads were used as starter culture to conduct malolactic fermentation in cider production. Concentrations of major organic acids and volatile compounds were monitored during the process, and results were compared to those obtained when using free cells in the same conditions. The rates of malic acid consumption were similar but lower ethanoic acid content and higher concentration of alcohols were detected with immobilized cells. These features have beneficial effects on the organoleptic properties of cider. A comparison between the kinetic behavior in immobilized and free cells, based on the data obtained for the malic acid consumption, has been developed solving the homogeneous diffusion model when it is applied to the system with immobilized cells.

Journal Article↗