• Journal of applied mathematics & informatics
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• v.5 no.3
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• pp.597-606
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• 1998

In the present study we consider a mathematical model of a non-interactive type autotroph-herbivore system in which the amount of autotroph biomass consumed by the herbivore is assumed to follow a Holling type II functional response. We have also incorpo-rated discrete time delays in the numerical response term to represent a delay due to gestation and in the recycling term which represent a delay due to gestation and in the recycling term which represents the time required for bacterial decomposition. We have derived con-dition for global asymptotic stability of the model in the absence of delays. Conditions for delay-induced asymptotic stability of the steady state are also derived. The length of the delay preserving stability has been estimated and interpreted ecologically.

• Journal of the korean society of oceanography
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• v.38 no.4
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• pp.185-210
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• 2003

This paper describes and assesses the parameterisation of MP, the microplankton compartment of the carbon­nitrogen microplankton­detritus model. The compartment is 'the microbial loop in a box' and includes pelagic bacteria and protozoa as well as phytoplankton. The paper presents equations and parameter values for the autotroph and microheterotroph components of the microplankton. Equations and parameter values for the microplankton as a whole are derived on the assumption of a constant 'heterotroph fraction'. The autotroph equations of MP allow variation in the ratios of nutrient elements to carbon, and are largely those of the 'cell­quota, threshold­limitation' algal growth model, which can deal with potential control of growth by several nutrients and light. The heterotroph equations, in contrast, assume a constant elemental composition. Nitrogen is used as the limiting nutrient in most of the model description, and is special in that MP links chlorophyll concentration to the autotroph nitrogen quota.

• Journal of applied mathematics & informatics
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• v.6 no.3
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• pp.809-822
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• 1999

We consider the mathematical model of a resource-based autotroph-herbivore system where diffusion of nutrient within the soil is taken into account. We have derived the conditions for the existence of steady-state to the system and studied the stability and instability of the patially homogeneous case. Then we have introduced the diffusion term to the system and studied the qualitative behabviour of the spatially inhomogeneous case. Finally we have discussed the salient features of the analytical results giving also the ecological interpretations.

• Journal of the korean society of oceanography
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• v.39 no.4
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• pp.222-233
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• 2004

Using nitrogen as the limiting nutrient, the default version of a microplankton-detritus model linked chlorophyll concentration to the autotroph nitrogen. However, phosphorus dynamics were added to simulate the results of a microcosm experiment. Using standard parameter values with a single value of microheterotroph fraction in the microplankton taken from the observed range, the best simulation successfully captured the main features of the time-courses of chlorophyll and particulate organic carbon, nitrogen and phosphorus, with root-mean-square error equivalent to 29% of particulate concentration. A standard version of microbiological model assumes complete internal cycling of nutrient elements; adding a term for ammonium and phosphate excretion by microheterotrophs did not significantly improve predictions. Relaxing the requirement for constant microheterotroph fraction resulted in an autotroph-heterotroph model AH, with dynamics resembling those of a Lotka-Volterra predator-prey system. AH fitted the microcosm data worse than did MP, justifying the suppression of Lotka-Volterra dynamics in MP. The paper concludes with a discussion of possible reasons for the success of the simple bulk dynamics of MP in simulating microplankton behaviour.

• Proceedings of the Korean Society of Life Science Conference
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• 2008.10a
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• pp.89.1-89.1
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• 2008

• The Microorganisms and Industry
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• v.20 no.3
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• pp.70-73
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• 1994

Effects of 13 organic compounds including glucose, fructose, xylose, glutamate, succinate, malate, glycine, lactate, acetate, pyruvate, citrate, formate and cis-aconitate on the oxidation of thiosulfate and the availability of these compounds as the substrate for the respiration by Thiobacillus ocncretivorus, which is known to be an obligated autotroph, were studied. Malate nad glycine at 0.5 per cent concentration nearly doubled the thiosulfate oxidation compared to the control. No other organic substances enhanced the thiosulfate oxidation compared to the control. No other organic substances enhanced the thiosulfate oxidation. Moreover, some 30 to 40 per cent decrease was recorded by fructose, sulfate-salts medium, some 30 to 40 per cent decrease was recorded by fructose, citrate, xylose, malate, flucose, glutamate and succinate. No respiration could occur when formate and pyruvate were supplied as the substrate for respiration. But it was obvious that flucose, fructose, xylose, glutamate, malate, citrate and succinate could be used as the substrate for respiration to some extent, regarding the fact that some increase in respiration rates could be recorded compared to the result from the salts medium, where neither thiosulfate nor orgnic compounds were added. Thus, it was postulated that this organism could possibly be converted into mixotroph or hetrotroph if appropriate conditions could be prepared.

• Journal of the Korean Society of Food Science and Nutrition
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• v.26 no.3
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• pp.404-410
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• 1997

Amylase, protease, polygalacturonase and $\beta$-galactosidase activities were monitored during salting of Chinese cabbage and kimchi fermentation at 1$0^{\circ}C$. A part of enzymes in the tissue of Chinese cabbage were eluted during salting, and other remained enzymes activities were decreased in proportion to the amount of elution. But total enzyme activities were increased during salting. Amylase, protease and polygalacturonase activities decreased at the early fermentation stage but increased at the late fermentation stage. $\beta$-Galactosidase activity was continuously increased during all periods of fermentation. Enzymic actions at the early fermentation stage come from Chinese cabbge and at the late fermentation stage come from major microorganisms in kimchi fermentation. Kimchi fermentation involves the activation of the enzymes by salting; hydrolysis of micromoleculars such as polysaccarides cell wall composed polysaccarides and proteins of cell wall during early fermentation of kimchi; overripening of the kimchi caused by propagation of homofermentative lactic acid bacteria which demand autotroph.

• Journal of the korean society of oceanography
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• v.39 no.2
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• pp.136-147
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• 2004

Different model formulations in available models were compared with Microplankton-Detritus (MPB) model, and well documented FDM and ERSEM models were the candidate for these comparison. Different formulations in both candidate models were expressed in terms of MPD parameterization. Even though there are differences in the control of autotroph growth among models, it was found that some of the more important microplankton parameters expressed incomparable terms have broadly similar values in all the models. However, an important difference was proved to be the direct contribution of microheterotrophs to the Detritus compartment in FDM and ERSEM, whereas in MPD microplankton biomass passes to Detritus only by way of mesozooplankton grazing.

• Korean Journal of Microbiology
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• v.3 no.2
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• pp.27-43
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• 1965

Wir haben das Wachstum und Chloropbyllzunahme und -abnahme bei der Autotroph-, Mixotroph-, und Heterotrophanzucht analysiert, und ob Glukose-Chlorose von Stickstoffi-nangel verursacht wird, oder Glukose die Chlorophyllbildung unterdriickt, und wie Lipid und Stdrke gebildet worden ist. Wir wollten bei Glukose-Chlorose Zucker, Stickstoff und Chlorophyll drei Verhiiltnisse untersuchen. Chlorella variegate fehlte Nitrat-Reduktase. Sie wachste nicht mit $KNO_3$ als stickstaffquelle und bildete kein chlorophyll bei Heterotroph und unterdrilckte chlorophyllbildung bei Mixotroph. Akkumulation von Lipid und Stdrke war nicht so viel wie bei Mineralsalz mangelchlorose. Chlorella variegate brauchte nicht $CO_2$ die Oxydationsphosphorylierung aber $O_2$ ist notig. Durch DNP und Fluoracetat blockierte Chlorella variegate die oxydationsph-osphorylieriing. Zell-Vermehrung und Koblenhydratbildung sind reduziert worden, aber nicht normal.

• Korean Journal of Microbiology
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• v.10 no.4
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• pp.167-174
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• 1972

Effects of 13 organic compounds including glucose, fructose, xylose, glutamate, succinate, malate, glycine, lactate, acetate, pyruvate, citrate, formate and cis-aconitate on the oxidation of thiosulfate and the availability of these compounds as the substrate for the respiration by Thiobacillus ocncretivorus, which is known to be an obligated autotroph, were studied. Malate nad glycine at 0.5 per cent concentration nearly doubled the thiosulfate oxidation compared to the control. No other organic substances enhanced the thiosulfate oxidation compared to the control. No other organic substances enhanced the thiosulfate oxidation. Moreover, some 30 to 40 per cent decrease was recorded by fructose, sulfate-salts medium, some 30 to 40 per cent decrease was recorded by fructose, citrate, xylose, malate, flucose, glutamate and succinate. No respiration could occur when formate and pyruvate were supplied as the substrate for respiration. But it was obvious that flucose, fructose, xylose, glutamate, malate, citrate and succinate could be used as the substrate for respiration to some extent, regarding the fact that some increase in respiration rates could be recorded compared to the result from the salts medium, where neither thiosulfate nor orgnic compounds were added. Thus, it was postulated that this organism could possibly be converted into mixotroph or hetrotroph if appropriate conditions could be prepared.