- Open Access
Combination of uniform design with artificial neural network coupling genetic algorithm: an effective way to obtain high yield of biomass and algicidal compound of a novel HABs control actinomycete
© Cai et al.; licensee BioMed Central Ltd. 2014
- Received: 1 April 2014
- Accepted: 19 May 2014
- Published: 24 May 2014
Controlling harmful algae blooms (HABs) using microbial algicides is cheap, efficient and environmental-friendly. However, obtaining high yield of algicidal microbes to meet the need of field test is still a big challenge since qualitative and quantitative analysis of algicidal compounds is difficult. In this study, we developed a protocol to increase the yield of both biomass and algicidal compound present in a novel algicidal actinomycete Streptomyces alboflavus RPS, which kills Phaeocystis globosa. To overcome the problem in algicidal compound quantification, we chose algicidal ratio as the index and used artificial neural network to fit the data, which was appropriate for this nonlinear situation. In this protocol, we firstly determined five main influencing factors through single factor experiments and generated the multifactorial experimental groups with a U15(155) uniform-design-table. Then, we used the traditional quadratic polynomial stepwise regression model and an accurate, fully optimized BP-neural network to simulate the fermentation. Optimized with genetic algorithm and verified using experiments, we successfully increased the algicidal ratio of the fermentation broth by 16.90% and the dry mycelial weight by 69.27%. These results suggested that this newly developed approach is a viable and easy way to optimize the fermentation conditions for algicidal microorganisms.
- Novel algicidal actinomycete
- Uniform design
- Artificial neural network coupling genetic algorithm
- High yield of biomass and algicidal compound
- HABs control
With the increasing influence of human activity, harmful algal blooms, also sometimes known as red tides, have happened more frequently and severely [1–3]. The tremendous accumulation of algal cells destroys the natural harmony of the ocean environment by discoloring the water, disrupting food-web dynamics, depleting oxygen and even poisoning the other creatures [4, 5]. Many approaches have been tried [6–8], and the limitation of physical and chemical methods  has made biological control the research hotspot. The bacteria-algae interaction plays an important role in both enhancing and decreasing algal blooms in situ and, with the discovery of numerous bacterial strains exhibiting strong and specific algicidal activity, provides a potential cheap, efficient and environmentally-friendly way to terminate the blooms or even prevent their occurrences [11–15]. Although the discovery of algicidal bacterium could be traced to 1925 , there are still few reports about microbial control of red tides in field tests . An inevitable problem concerns how to bring the algicidal microbes into the application stage with the help of mature fermentation technologies.
Most algicidal microbes affect the growth of algae through the secreted metabolites. These algicidal metabolites might be proteins, peptides, amino acids, bio-surfactants, and antibiotics . Better understandings of the algicidal microbes require systematic studies about the chemical nature of these compounds. However, they are often so effective that their concentrations in fermentation broth might actually be quite low. Therefore, optimizing the fermentation conditions to obtain high yield of algicidal compound seems to be beneficial for both theoretical and applied researches. But incomplete information about the target chemical becomes the biggest obstacle to a successful optimization process, which requires reliable material quantification. This seems to be a paradox, and it might be partially responsible for the slow development of microbial algicides. Nevertheless, researchers have made some efforts to optimize the yield of algicidal microorganisms. The medium composition for the marine algicidal bacterium Alteromonas sp. DH46 were optimized using uniform design and the bacterial dry weight successfully increased by 107% and algicidal efficiency by nearly 10% . Response surface methodology was used to obtain the best fermentation conditions for the algicidal bacterium R2, and the final cell density successfully increased without scarifying the algicidal rate . However, these studies initially focused on the increase of biomass, which, theoretically speaking, has no absolute correlation with the yield of algicidal metabolites. The direct optimization for algicidal compound could be achieved when the chemical was well studied , but only few successful studies were reported when the chemical was unknown .
In recent years, more and more newly developed optimization strategies have been used in the fermentation industry. And the problems in optimizing the yield of algicidal compound seems solvable though the advanced artificial intelligence techniques with high efficiency and extensive application scope. One of these promising methods combines the use of artificial neural networks (ANNs) with genetic algorithms (GAs). An ANN is a computational model inspired by nervous systems and is capable of machine learning and output value prediction . Its high accuracy in multi-factorial and nonlinear analysis makes it a good tool to simulate fermentation results. The GA is an optimization algorithm based on Darwinian evolution and Mendelism in order to carry out random, adaptive and parallel global searches . Fully understanding the advantages of these two computational methods, many researchers couple GA with ANN to optimize fermentation conditions and obtain significant results . Considering algicidal ratio shows positive but nonlinear correlation with the content of algicidal compound, ANN and GA seems to be the excellent tools to analyze and fit the data. However, there are still no reports concerning applying this method in the fermentation optimization of algicidal microorganisms.
An actinomycete strain Streptomyces alboflavus RPS , which was isolated from the sediment sample of Fujian Zhangjiangkou Mangrove National Nature Reserve, China, showed high algicidal activity against a typical harmful alga, Phaeocystis globosa. RPS lysed the algal cell by releasing an extracellular compound and the mycelial pellets were also capable of inhibiting algal growth in a seawater environment. To better understand its algicidal properties and prepare for the possible field test in future, we firstly tried to increase the production of mycelia and concentration of algicidal compound. In this new developed optimization protocol, we preferred to simplify the measurement of indexes, which took the dry mycelial weight as the biomass and algicidal ratio as the concentration of algicidal compound, to avoid unnecessary experimental errors. With the data obtained from single factor experiments and uniform design, we fully took the advantages of ANN and GA to fit the data and obtain the optimal medium compositions and cultivation conditions. And we finally verified the optimal fermentation conditions and compared the GA-ANN method with the traditional regression model.
The effects of different nutrients and cultivation conditions on the growth of RPS
In order to optimize the fermentation conditions to increase the production of RPS, we should first understand which were the major influencing factors. More practically speaking, we should found out changing which nutrients or cultivation conditions would lead to an increased yield of biomass and algicidal compounds compared to the original fermentation conditions. Therefore, we set the control group as the baseline in order to make the changes caused by different nutrients and cultivation conditions more clearly comparable.
Inorganic minerals also play a critical role in the lifecycle of microorganisms, although the requirement is much lower than that for a carbon and nitrogen source. In this study, we briefly tested the influence of different inorganic nutrient content on RPS. Judging by the biomass in Figure 1 (iii), the concentration of K2HPO4 and MgSO4 did not affect the growth of RPS very much, except for a 71.2% decrease caused by low MgSO4 content. Considering the algicidal activity, the distinctions were more minor, even the low biomass in the low MgSO4 situation only reduced the algicidal ratio by 18.9%. Interestingly, the middle inorganic concentration (0.5 g/L K2HPO4, 0.5 g/LMgSO4•7H2O), which acted as the control group, showed the highest biomass and algicidal activity, suggesting the importance of correct content of inorganics. Since the changes of these two inorganic minerals did not bring about higher yield of neither biomass nor algicidal compound, we would not take more effort to optimizing the inorganic mineral content for the moment.
In summary, there were five factors that increased the production of RPS. Two of them (salinity and loaded volume) were not suitable for future large-scale fermentation conditions. Considering the importance of carbon and nitrogen content, five factors were used for the more detailed multi-factorial optimization: starch content, sodium nitrate content, inoculum size, initial pH and fermentation time.
Uniform design and regression model
Uniform-design-table and the results
Inoculum size (%)
Algicidal ratio (%)
Dry mycelial weight (g/100mL broth)
Based on the results of dry mycelial weight, a multiple regression equation was generated: Y2 = -0.543313758 + 0.022952473674X1 + 0.05158971648X3 + 0.08619420430X4-0.0013331394535X5-0.0004410784967X1*X1-0.0013657027343X3*X3-0.004819912252X4*X4-0.0016301914750X1*X3 + 0.00030259683893X1*X4 + 0.000030318409839X1*X5-0.004189833135X3*X4 + 0.00020227979933X3*X5 + 0.000021989005098X4*X5. The correlation indexes were as follows: R = 1.0000, F value =38461.4808, p = 0.0040, Durbin-Watson value =2.17768003. The optimal fermentation conditions for a maximum biomass of 0.2598 g/100 mL were: 16.31 g/L starch, 0.52 g/L NaNO3, inoculum size 10.5%, initial pH 5.41, and fermentation time 228 h.
Also, based on the results of the algicidal ratio, another multiple regression equation was generated: Y1 = -3.97848306 + 0.31068222407X1 + 0.6327387394X4 + 0.006103641490X5-0.005977938516X1*X1 + 0.0021886562363X2*X 2-0.022509013327X4*X4-0.000031536339359X5*X5-0.0019135332295X1*X3-0.020236820212X1*X4 + 0.00015411255817X1*X5-0.0027135967924X3*X4 + 0.00030307344603X3*X5-0.00006432940808X4*X5. The correlation indexes were as follows: R = 1.0000, F value = 38461.4808, p =0.0040, and Durbin-Watson value = 1.87922745. The optimal fermentation conditions for highest algicidal activity of 103% were: 18.07 g/L starch, 1.7 g/L NaNO3, inoculum size 3.5%, initial pH 5.50, and fermentation time 152 h.
Determination of the structure of artificial neural networks
Error of the artificial neural network with different numbers of hidden neurons
Number of hidden neurons
Dry mycelial weight
Optimization of artificial neural networks using the genetic algorithm
The precision of an ANN is greatly affected by the initial weights and thresholds of the network, and so we applied the GA, which used the sum of training error as the fitness, to seek the best weights and thresholds. The processes of optimization and the precision of the optimized neural networks are shown in Additional file 1: Figures S1 and S2. There is no doubt that the high accuracy of these neural networks promised good simulation of fermentation and therefore increased the possibility of gathering convincing results by further optimization.
Genetic algorithm for best fermentation conditions
Verification of optimal fermentation conditions
88.59 ± 3.46%
92.15 ± 1.12%
78.83 ± 2.76%
Improvement compared to control
Dry mycelial weight
0.2127 ± 0.0191 g
0.2165 ± 0.072 g
0.1279 ± 0.0116 g
Improvement compared to control
In this study, we innovatively combined the use of uniform design with ANN coupling GA in the optimization of the fermentation conditions of an algicidal actinomycete, and reflected the efficiency of uniform design, the ‘eurytopicity’ and accuracy of GA and BP-neural network, which overcame the quantitative problem of algicidal compound. The further application of algicidal microorganisms also became more plausible. Despite the fact that more and more researchers focus on various genetic modification methods to boost the productivity of microorganisms, fully developing the potential of the original strain by optimizing the fermentation conditions is still a more economic, fast and environmentally safe way especially in the field of algicidal preparations that require more thorough theoretical studies.
In many studies, multi-factorial analysis was used in the optimization of medium composition. However, the importance of some nutrients might not be well quantified because of their concentrations (such as K2HPO4 in this study), while cultivation conditions (such as inoculum size, initial pH and fermentation time in this study) can play more critical roles and also interact with the medium composition. For example, inoculum size affects the growth rate of the strain, which is important to some slow-growing microorganisms and also directly connected to the consumption rate of the nutrients. Thus, in our opinion, applying single factor experiments to decide the important factors was necessary before proceeding to multifactorial optimization.
Wisely applying these multi-factorial analytical methods was even more important. In this study, we successfully saved the use of many experimental groups, thanks to the advantages of uniform design. Nevertheless, the traditional quadratic polynomial stepwise regression method showed its limitations in simulating the fermentation, the result of which were even absurd in the case of the algicidal ratio with nonlinear variation(>100%). The ANN and GA seemed to be much more convincing based on our final verification experiments. However, it is undeniable that such great outcomes were based on the brilliant experimental sets coming from uniform design, and we should rationally choose and combine the algorithms, and then use their advantages to achieve our goals.
Beside the challenges during the development of microbial algicides, establishing a comprehensive theoretical system to guide the application of algicidal microorganisms is another difficulty that we have to face. In recent years, more and more researchers focused on the interaction mechanism between algae and microorganisms. Just like RPS, many algicidal microbes inhibit the growth of harmful algae or cause the lysis of algal cells by secreting some biological active compounds, which shares quite a lot of similarities with alleopathy. Many studies revealed the fact that these compounds would lyse the cells by inducing oxidative stress and destroying the photosynthetic system [2, 28]. Another important red tide control microbial factor is virus. Early in 1963, algal viruses had been isolated and identified . With the gradual understanding of the crucial roles that algal virus plays in marine environment , virus also becomes a potential candidate for algal bloom control owing to their high efficiency and species-specificity. Except for the viruses, a newly found pathogen, which was identified as the protist Pseudobodo sp. and could directly attack the algal cells, largely expanded our research and application prospect for algicidal microorganisms . There is no doubt that microorganisms will be the key players in future red tide control , and the ongoing theoretical researches will serve the mature of field applications.
In a word, this study provided a clear way to optimize the fermentation conditions of a novel algicidal actinomycete, and also laid the foundation for the development of algicidal preparations in the future.
Algal culture and evaluation of algal biomass
The Phaeocystis globosa culture was obtained from the State Key Laboratory of Marine Environmental Science (Xiamen University). The culture was maintained in sterilized f/2 medium under a 12 h: 12 h light-dark cycle with a light intensity of 4000 lx at 20 ± 1°C. When evaluating algal biomass, the P. globosa culture was transferred to a 24-well cell plate and the fluorescent intensity (RFU) measured under an excitation wavelength of 440 nm and emission wavelength of 680 nm (Spectra max M2, Molecular Devices Corporation). Earlier study has confirmed that this is a convenient and accurate method to evaluate biomass .
Isolation and cultivation of Streptomyces alboflavus RPS
where Ft is the fluorescent intensity of the treated algal culture, and F0 the fluorescent intensity of the control group.
All shaken flask experiments included at least two parallel samples.
The effects of different nutrients and cultivation conditions on the growth of RPS
We used single factor experiments, meaning only one of the nutrients or cultivation conditions was changed in each experimental group and the other influencing factors remained the same as the original. The setups of each experimental group were shown below.
Carbon source: starch, glucose, sucrose, maltose and glycerol.
Nitrogen source: tryptophan, methionine, sodium nitrate, and ammonium sulfate.
Inorganic content: a) 0.5 g/L K2HPO4, 0.5 g/L MgSO4•7H2O, b) 0.75 g/L K2HPO4, 0.5 g/L MgSO4•7H2O, c) 0.25 g/L K2HPO4, 0.5 g/L MgSO4•7H2O, d) 0.5 g/L K2HPO4, 0.75 g/L MgSO4•7H2O, e) 0.5 g/L K2HPO4, 0.25 g/L MgSO4•7H2O.
Initial pH: 5, 6, 7, 8 and 9.
Inoculum size: 1, 3, 5, 7 and 10%, v/v.
Loaded volume: 25, 50, 75, 100 and 125 mL in 250 mL flasks. The biomasses were converted into 100 mL for comparison.
Salinity: 0, 10, 20, 30 and 40‰.
Fermentation time: 2, 4, 6, 8 and 10 d.
To better quantify the influence of each factor and eliminate the minor errors caused by different experiment batches, we normalized the experimental results of the control group (which used the same cultivation conditions as in the origin experiment) to 1 and the experimental results of the other groups were compared to that of the control group to show the differences.
Uniform design for multifactor optimization
Based on the single factor experiments above, we brought the five main influencing factors, which were starch content, sodium nitrate content, inoculum size, initial pH and fermentation time, to the next step - multifactor optimization. The Data Processing System (DPS Version 7.05) was used to generate the experimental design, statistical analysis and regression model using the quadratic polynomial stepwise regression method. Based on the uniform design table U15(155), 15 experimental groups with the five independent variables (X1, X 2, X3, X4 and X5) were set for testing the two dependent variables, Y1 (algicidal ratio) and Y2 (dry mycelial weight). Details concerning the experimental design and results are shown in Table 1. Two regression models were obtained for Y1 and Y2, followed by the acquisition of the optimal combination of cultivation conditions for the growth of RPS.
Combination of the artificial neural network and the genetic algorithm
The Matlab R2013a software was used for ANN modeling and GA optimization. In this study, two separate neural network models were constructed to model the fermentation process and predict the biomass and algicidal activity. We used the data from uniform design as the training samples. Thus, each neural network consisted of five input neurons (starch content, sodium nitrate content, inoculum size, initial pH and fermentation time) and a single output neuron (dry mycelial weight or algicidal ratio). The optimization process was made up of three steps.
1) We tested the error with different neurons in a hidden layer to determine the best structure of the neural network. Based on experience and literature [34, 35], we primarily chose three to 12 hidden neurons to conduct the error calculation. The number of neurons in the hidden layer was determined taking into account of two types of error, training error and prediction error. The program randomly picked up 13 experimental groups as the training samples, and the other two groups as the test samples. The neural networks were trained with different numbers of hidden neurons and the simulated results were compared to training and test samples and the 2-norm of training and prediction errors further worked out. Considering the influence of initial weights and thresholds in the neural network and the experimental error of the samples, we replicated the calculation 10 times.
2) We applied the GA to optimize the weights and thresholds of back-propagation (BP)-neural networks to increase their accuracy. To fully simulate the fermentation process, we used all 15 experimental samples to train the ANN. The max epoch was set as 2000 and the training goal was 1 × 10-6. In the GA, the sum of training errors of each sample (absolute value) was defined as the fitness. The program sought the minimum fitness using the procedure of selection, crossover and mutation. The other parameter settings were as follows: maxgen = 50, sizepop = 20, Pcross = 0.8, Pmutation = 0.05.
3) With the optimal neural networks, we applied the GA again to seek the best fermentation conditions for RPS. In this step, the simulation result of the neural network was defined as the fitness. The algorithm sought the maximum fitness with the following parameter settings: maxgen = 100, sizepop = 80, Pcross = 0.4, Pmutation = 0.05.
Finally, we verified the four groups of optimal fermentation conditions through experiments and compared the final results and accuracy of the two prediction models (regression model and neural network model).
This work was financially supported by the National Natural Science Foundation (40930847, 41376119), the Public Science and Technology Research Funds for Projects on the Ocean (201305016, 201305022) and the Science and Technology Innovation Funds of Shenzhen (JCYJ20120615161239998). We also thank Prof. I. J. Hodgkiss of The University of Hong Kong for help with English.
- Backer L, McGillicuddy D: Harmful algal blooms. Oceanography. 2006, 19: 94-View ArticleGoogle Scholar
- Li Y, Zhu H, Guan C, Zhang H, Guo J, Chen Z, Cai G, Lei X, Zheng W, Tian Y, Zheng T: Towards molecular, physiological and biochemical understanding of photosynthetic inhibition and oxidative stress in the toxic Alexandrium tamarense induced by a marine bacterium. Appl Microbiol Biotechnol. 2014, 98: 4637-4652. 10.1007/s00253-014-5578-x.View ArticleGoogle Scholar
- Yang X, Li X, Zhou Y, Zheng W, Yu C, Zheng T: Novel insights into the algicidal bacterium DH77-1 killing the toxic dinoflagellate Alexandrium tamarense. Sci Total Environ. 2014, 482–483: 116-124.View ArticleGoogle Scholar
- Anderson DM: Turning back the harmful red tide. Nature. 1997, 388: 513-514. 10.1038/41415.View ArticleGoogle Scholar
- Smayda TJ: Harmful algal blooms: their ecophysiology and general relevance to phytoplankton blooms in the sea. Limnol Oceanogr. 1997, 42: 1137-1153. 10.4319/lo.1997.42.5_part_2.1137.View ArticleGoogle Scholar
- Drábková M, Admiraal W, Maršálek B: Combined exposure to hydrogen peroxide and light selective effects on cyanobacteria, Green Algae, and diatoms. Environ Sci Technol. 2007, 41: 309-314. 10.1021/es060746i.View ArticleGoogle Scholar
- Yu Z, Sun X, Song X, Zhang B: Clay surface modification and its coagulation of red tide organisms. Chin Sci Bull. 1999, 44: 617-620. 10.1007/BF03182721.View ArticleGoogle Scholar
- Nakano K, Lee TJ, Matsumura M: In situ algal bloom control by the integration of ultrasonic radiation and jet circulation to flushing. Environ Sci Technol. 2001, 35: 4941-4946. 10.1021/es010711c.View ArticleGoogle Scholar
- Wang D, Liu G, He E, Li J: Review on prediction, prevention and mitigation of harmful algal blooms. Adv Earth Sci. 2013, 28: 233-242.Google Scholar
- Doucette GJ: Interactions between bacteria and harmful algae: a review. Nat Toxins. 1995, 3: 65-74. 10.1002/nt.2620030202.View ArticleGoogle Scholar
- Wang B, Yang X, Lu J, Zhou Y, Su J, Tian Y, Zhang J, Wang G, Zheng T: A marine bacterium producing protein with algicidal activity against Alexandrium tamarense. Harmful Algae. 2012, 13: 83-88.View ArticleGoogle Scholar
- Zhang C, Yi Y-L, Hao K, Liu G-L, Wang G-X: Algicidal activity of Salvia miltiorrhiza Bung on Microcystis aeruginosa—Towards identification of algicidal substance and determination of inhibition mechanism. Chemosphere. 2013, 93: 997-1004. 10.1016/j.chemosphere.2013.05.068.View ArticleGoogle Scholar
- Zheng X, Zhang B, Zhang J, Huang L, Lin J, Li X, Zhou Y, Wang H, Yang X, Su J, Tian Y, Zheng T: A marine algicidal actinomycete and its active substance against the harmful algal bloom species Phaeocystis globosa. Appl Microbiol Biotechnol. 2012, 97: 9207-9215.View ArticleGoogle Scholar
- Li D, Zhang H, Fu L, An X, Zhang B, Li Y, Chen Z, Zheng W, Lin Y, Zheng T: A novel algicidal evidence of the effect of a fatty acid compound from the marine bacterium, Vibrio sp. BS02 on the harmful dinoflagellate, Alexandrium tamarense. PLoS One. 2014, 9: e91201-10.1371/journal.pone.0091201.View ArticleGoogle Scholar
- Zhang B, Cai G, Wang H, Li D, Yang X, An X, Zheng X, Tian Y, Zheng W, Zheng T: Streptomyces alboflavus RPS and its novel and high algicidal activity against harmful algal bloom species phaeocystis globosa. PLoS One. 2014, 9: e92907-10.1371/journal.pone.0092907.View ArticleGoogle Scholar
- Geitler L: Uber Polyangium parasiticum n. sp., eine submerse, parasitische Myxobacteriacee. Arch Protistenkd. 1925, 50: 67-88.Google Scholar
- Kang Y-H, Jung SW, Joo J-H, Han M-S: Use of immobilized algicidal bacteria to control natural freshwater diatom blooms. Hydrobiologia. 2012, 683: 151-162. 10.1007/s10750-011-0951-6.View ArticleGoogle Scholar
- Zhang Y, Xi Y, Wu G: Advances on algicidal substances produced by algicidal bacteria. Microbiology. 2004, 31: 127-131.Google Scholar
- Lin J, Zheng W, Tian Y, Wang G, Zheng T: Optimization of culture conditions and medium composition for the marine algicidal bacterium Alteromonas sp. DH46 by uniform design. J Ocean Univ China. 2013, 12: 385-391. 10.1007/s11802-013-2153-5.View ArticleGoogle Scholar
- Ye J, Zhang J, Zhong Y: Optimization of fermentation condition of algicidal bacteria using response surface methodology. J Anhui Agr Sci. 2011, 39: 14256-14259.Google Scholar
- Kim SJ, Lee HK, Lee YK, Yim JH: Mutant selection of Hahella chejuensis KCTC 2396 and statistical optimization of medium components for prodigiosin yield-up. J Microbiol. 2008, 46: 183-188. 10.1007/s12275-008-0037-y.View ArticleGoogle Scholar
- Kong Y, Zou P, Miao L, Qi J, Song L, Zhu L, Xu X: Medium optimization for the production of anti-cyanobacterial substances by Streptomyces sp. HJC-D1 using response surface methodology. Environ Sci Pollut Res. 2014, 21: 5983-5990. 10.1007/s11356-014-2532-5.View ArticleGoogle Scholar
- Dayhoff JE, DeLeo JM: Artificial neural networks. Cancer. 2001, 91: 1615-1635. 10.1002/1097-0142(20010415)91:8+<1615::AID-CNCR1175>3.0.CO;2-L.View ArticleGoogle Scholar
- Leung Y-W, Wang Y: Multiobjective programming using uniform design and genetic algorithm. Systems Man Cybern Part C Appl Rev IEEE Trans. 2000, 30: 293-304. 10.1109/5326.885111.View ArticleGoogle Scholar
- Nagata Y, Chu KH: Optimization of a fermentation medium using neural networks and genetic algorithms. Biotechnol Lett. 2003, 25: 1837-1842. 10.1023/A:1026225526558.View ArticleGoogle Scholar
- Fang Q-H, Zhong J-J: Effect of initial pH on production of ganoderic acid and polysaccharide by submerged fermentation of Ganoderma lucidum. Process Biochem. 2002, 37: 769-774. 10.1016/S0032-9592(01)00278-3.View ArticleGoogle Scholar
- Fang K-T, Lin DK, Winker P, Zhang Y: Uniform design: theory and application. Technometrics. 2000, 42: 237-248. 10.1080/00401706.2000.10486045.View ArticleGoogle Scholar
- Zhang H, An X, Zhou Y, Zhang B, Zhang S, Li D, Chen Z, Li Y, Bai S, Lv J, Zheng W, Tian Y, Zheng T: Effect of Oxidative Stress Induced by Brevibacterium sp. BS01 on a HAB Causing Species-Alexandrium tamarense. PLoS One. 2013, 8: e63018-10.1371/journal.pone.0063018.View ArticleGoogle Scholar
- Safferman RS, Morris M-E: Algal virus: isolation. Science. 1963, 140: 679-680. 10.1126/science.140.3567.679.View ArticleGoogle Scholar
- Suttle CA: Viruses in the sea. Nature. 2005, 437: 356-361. 10.1038/nature04160.View ArticleGoogle Scholar
- Chen Z, Lei X, Zhang B, Yang L, Zhang H, Li Y, Li D, Zheng W, Tian Y, Zheng T: First report of Pseudobodo sp, a new pathogen of Chlorella vulgaris culture. PLoS One. 2014, 9: e89571-10.1371/journal.pone.0089571.View ArticleGoogle Scholar
- Zheng T: Red-tide control microbiology. 2011, Xiamen, China: Xiamen University PressGoogle Scholar
- Yin P, Wang M, Zhao L, Qi Y: The characteristics of fluorescence emission spectra in vivo of phaeocystis globosa and quantitative analysis. J Instrum Anal. 2006, 25: 56-59.Google Scholar
- Teoh EJ, Tan KC, Xiang C: Estimating the number of hidden neurons in a feedforward network using the singular value decomposition. Neural Network IEEE Trans. 2006, 17: 1623-1629.View ArticleGoogle Scholar
- Yuan H, Xiong F, Huai X: A method for estimating the number of hidden neurons in feed-forward neural networks based on information entropy. Comput Electron Agric. 2003, 40: 57-64. 10.1016/S0168-1699(03)00011-5.View ArticleGoogle Scholar
This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.