A Novel Method for Extraction of Lipids From Liquid Microalgae Without Dewatering

Background: Recent studies of lipid extraction from microalgae have focused primarily on dewatered or dried samples, and the processes are simple with high lipid yield. Yet, the dewatering with drying step is energy-intensive, which makes the energy output from the extracted lipid is less than the energy needed to produce it. Thus, exploring an extraction technique for just a thickened sample without the dewatering, drying and auxiliary operation (such as cell disruption) is very signicant. Whereas lipid extraction from the thickened microalgae is complicated by the high-water content involved, and traditional solvent hence cannot work well. Dimethyl ether (DME), a green solvent, featuring a high anity for both water and organic compounds with an ability to penetrate the cell walls, has the potential to achieve this goal. Results: This study investigated an energy-saving method for lipid extraction using DME as the solvent with an entrainer solution (ethanol and acetone) for occulation thickened microalgae. Extraction eciency was evaluated in terms of extraction time, DME dosage, entrainer dosage, and ethanol:acetone ratio. Optimal extraction occurred after 30 minutes using 4.2 mL DME per 1 mL microalgae, with an entrainer dosage of 8% at 1:2 ethanol:acetone. Raw lipid yields and fatty acid methyl ester contents were compared against those of common extraction methods (Bligh & Dryer and Soxhlet). Thermal gravimetry/differential thermal analysis, Fourier-transform infrared spectroscopy, and C/H/N elemental analyses were used to examine differences in lipids extracted using each of the evaluated methods. Considering of trace metals on biodiesel utilization, inductively coupled plasma mass spectrometry and inductively coupled plasma atomic emission spectroscopy analyses were used to quantify trace metals in the extracted raw lipids, which revealed relatively high concentrations of Mg, Na, K, and Fe. Conclusions: Our DME-based method recovered 26.4% of total raw lipids and 54.4% of total fatty acid methyl esters at rst extraction with remnants being recovered by a 2 nd extraction. In additional, the DME-based approach was more economical than other methods,


Background
The development of renewable energy technologies has advanced in response to an ever-increasing demand for fossil fuels and global warming caused by CO 2 emissions from their combustion [1][2] [3].
Biodiesel produced from microalgae is considered a promising substitute for fossil fuels [4][5] because microalgae boast a high growth rate and high lipid content. These features enable a high rate of carbon xation with the potential for highly e cient biodiesel production. Furthermore, microalgae can be easily grown on non-arable land, which avoids competition with food production [6][7] [8].
Biodiesel production from microalgae consists primarily of microalgae cultivation, harvesting, lipid extraction, and transesteri cation [9]. However, harvesting and lipid extraction are substantial bottlenecks in the development of an energy-e cient and cost-effective process for conversion of microalgae to biodiesel [10] [11]. Microalgae typically exhibit small cell size (5-50 µm) and low density (0.5 ~ 5 g/L) in growth media. These factors make it di cult to directly extract lipids without some form of harvesting pretreatment [12] [13]. In a typical process, microalgae suspensions are rst thickened via gravity sedimentation, occulation, or otation to obtain slurry with a biomass content of 3-7%. This concentrated slurry is then mechanically dewatered by ltration or centrifugation to obtain cake with a biomass content of 10-25%. In a nal step, the cake is thermally dried to a biomass content of > 90% [5] [14] [15].
Extraction of lipids is simpler from a completely dry microalgae sample than from a sample that has just been dewatered. A Soxhlet extraction with n-hexane obtained a 45% (dry base) yield of lipid from dried Schizochytrium limacinum [16]. Jie et al. [17] used ethanol to extract 48% (dry base) lipid from dried Synechocystis PCC 6803. Supercritical extraction using CO 2 and ethanol has been used to obtain a 34% (dry base) yield of lipid from dried S. limacinum powder [16]; an 18.1% (dry base) lipid yield from dried Chlorella spp. powder was obtained using a mixed extraction solvent of methanol:ethyl acetate at a volume ratio of 2:1 [18].
However, drying is an energy-intensive process. Removal of 1 kg of water from mechanically dewatered microalgae (~ 20% biomass) by thermal drying requires 3,560 kJ of energy input, rendering the net energy balance negative [5]; thus, the energy output from the extracted biodiesel is less than the energy needed to produce the biodiesel [3].
Because dewatering via centrifugation or ltration requires considerable energy compared to the thickening process [23], direct extraction of lipids from thickened microalgae would signi cantly improve the net energy gain. Liquid dimethyl ether (DME) is a promising solvent for extraction of lipids from thickened microalgae. Liquid DME is partially miscible with water (7-8 wt.% DME; room temperature) and features a high a nity for organic compounds. Thus, DME is suitable for extraction of lipids from wet biomass samples with simultaneous dewatering. This combined process represents considerable energy savings [24] [25]. In addition, DME is a gas under ambient conditions; thus, it can be easily lique ed at 0.51-0.59 MPa and room temperature (20-25 °C). The low boiling point of DME (i.e., -25 °C) allows it to be easily removed via evaporation for recycling/reuse [25] [26]. DME has been successfully applied for extraction of lipids and removal of moisture from dewatered biomass, including sludge [25] [27], cattle manure [28], microalgae [29] and vegetables [30]; however, its use with merely thickened samples has not been studied. This is largely because its low polarity results in immiscibility with microalgae suspended in water. Although DME can absorb a small fraction of water, as mentioned above, greater proportions of water result in discrete aqueous and organic layers, thereby preventing DME from coming into close contact with microalgae cells. This effect is more noticeable with marine algae, because the polarity of the algal slurry is enhanced by dissolved salts. Although not the most economical approach, one solution involves the use of large volumes of DME [31]; speci cally, a 167:1 weight ratio of DME to microalgae (dry base) was necessary for extraction of lipids from a sample containing 9% solids. Another potential solution involves the use of a solvent with in nite miscibility in water for adjustment of DME polarity. Adjustment of the cosolvent ratio allows DME to be completely mixed with water. This type of additive is regarded as an entrainer, and has been shown to improve the e ciency of supercritical uid extraction [32] [33].
Here, lique ed DME was used to extract lipids from AlCl 3 -occulated Nannochloropsis oculata (solid content 18.3 g/L). A suitable entrainer for DME was identi ed among ethanol, dimethyl sulfoxide (DMSO), acetone, and tetrahydrofuran (THF). Extraction performance was evaluated with respect to changes in extraction time, DME dosage, entrainer composition, and entrainer proportion in DME. The performance of our modi ed DME-based method was compared to the performances of Bligh & Dyer and Soxhlet methods in terms of raw lipid yield, fatty acid yield, and C/H/N composition. For each method, extracted lipids were characterized by thermal gravimetry (TG)/differential thermal analysis (DTA), Fourier-transform infrared spectroscopy (FTIR), and trace elemental analyses.

Results And Discussion
2.1 Entrainer screening for improved lipid extraction using DME Figure 2 (a) shows the yields of extracted raw lipids and FAMEs using our DME-based method (25 mL DME for 8 mL of microalgae) with each of the four entrainers. Notably, the amounts of FAMEs obtained with ethanol and acetone were much higher than those obtained with the blank, despite the smaller proportions. The solids contents of microalgae samples after DME treatments using the four entrainers are shown in Figure S1. The solids content of the blank increased to 19.4% after DME treatment of occulation-thickened microalgae containing > 98% water. Thus, water and lipids were extracted simultaneously from microalgae samples using lique ed DME and an entrainer. Accordingly, this process can be regarded as an effective dewatering method. However, the addition of an entrainer did not enhance dewatering. The solids contents of the acetone and THF groups were 20.4% and 20.7%, which represented no signi cant improvements over the blank group. A slight reduction in solids content (17.2%) was observed when using ethanol as the entrainer. The solids contents of samples treated with DMSO were only 12.5%, demonstrating that DMSO was not an effective dewatering agent.
The FAME compositions of the various samples are shown in Figure S2. No obvious differences were observed. For all ve groups (blank and four entrainers), FAMEs in the extracted raw lipids were composed primarily of C16:0, C16:1, and C18:1n9c, representing 60-70% of the total FAMEs. The remaining FAMEs were distributed between C4:0 and C24:1n9. These ndings indicated that the entrainer did not affect the FAME composition of the extracted raw lipids.
Given the above results, ethanol and acetone, each of which signi cantly improved lipids yields with minimal effects on dewatering, were selected for further investigation as entrainers. DME has a low polarity (dielectric constant of 5.02) and is generally immiscible with water (dielectric constant of 78.54). However, hydrogen bonds formed between DME and water can result in partial miscibility [34], enabling DME to e ciently absorb water from microalgae [29]. In the present study, the amount of water in microalgae samples exceeded the miscibility limit of DME, which can only absorb 7-8 wt.% water. Therefore, our mixtures of DME and microalgae separated into two liquid layers, preventing the close contact between DME and algal cells that is required for lipid extraction. The addition of ethanol (dielectric constant of 24.60) or acetone (dielectric constant of 21.01) changes the polarity of the organic phase [35], increasing its miscibility with water. Conversely, the addition of THF (dielectric constant of 7.52) did not improve lipid extraction because it precipitated out of the microalgae slurry (sea water) [36]. Among the four entrainers, DMSO had the highest dielectric constant of 47.00, implying good solubility in water and poor compatibility with DME. This latter feature explains the failure of DMSO to improve lipid extraction.
Thus, the dielectric constant of an ideal entrainer should be neither excessively high nor excessively low.

DME-based extraction with an ethanol-acetone entrainer
The effects of extraction time on the lipid yields using our DME-based method are shown in Fig. 1 (a). Raw lipid yields increased with extraction time, reaching 0.0359 g/g dry biomass after 10 min, 0.0871 g/g dry biomass after 20 min, and 0.1110 g/g dry biomass after 30 min. No further increases in yield were observed beyond 30 min. The proportions of FAMEs in the extracted raw lipids ranged from 35.0-41.1%.
Changes in FAME proportions as a function of extraction time were not obvious. Similarly, the solids content of microalgae after extraction remained consistent between 10 and 45 min. The lowest solids content of 18.3% was observed after 10 min of extraction; this increased to 20.2% after 45 min. Thus, only 30 min was required to fully extract the raw lipids. Furthermore, the rates of FAME and non-FAME transfer to DME were similar. Therefore, dewatering by DME-based extraction could be accomplished in a relatively short time (10 min). Figure 1 (b) shows the effects of DME dosage. Raw lipid yield increased dramatically with the dosage of DME. Using 1.6 mL DME/mL microalgae yielded 0.0716 g raw lipid/g dry biomass. A DME dosage of 6.3 mL/mL yielded 0.2333 g raw lipid/g dry biomass. At DME dosages as high as 6.3 mL/mL, the trend of increasing raw lipid yields with increasing DME dosage did not diminish. The proportions of FAMEs obtained with DME dosages of 1.6, 2.1, 2.5 and 3.1 mL/mL were 37.1%, 40.6%, 41.8%, and 37.9%, respectively. Thus, no signi cant differences in FAME proportions were observed as a function of DME dosage. However, when the DME dosages were increased to 4.2 and 6.3 mL/mL, the proportions of FAMEs decreased to 27.6% and 30.6%, respectively. This effect can be attributed to diminishing returns. FAMEs become more di cult to extract as their concentrations in microalgae decrease. In contrast, residual non-FAME components were present; thus, the diminishing effect was less obvious. This hypothesis will be discussed in Sect. 3.3.1. Analysis of the solids contents of various samples after extraction revealed that water removal increased with DME dosage. At a DME dosage of 1.6 mL/mL, the solids content of the microalgae was 14.6%; it increased to 24.9% with 6.3 mL/mL DME. Increasing the DME dosage signi cantly improved raw lipid extraction with simultaneous dewatering. However, the reduced proportions of FAMEs at DME dosages exceeding 4.2 mL/mL indicated a weakening effect at higher dosages.
Extraction performance as a function of entrainer dosage is illustrated in Fig. 1 (c). Raw lipid yield grew nearly linearly with increasing entrainer dosage (ethanol + acetone). An entrainer dosage of 2% (in DME) slightly enhanced raw lipid yield to 0.0271 g/g dry biomass. At a dosage of 6%, the yield was 0.0912 g/g; a dosage of 12% entrainer yielded 0.1646 g/g raw lipids. Within an entrainer range of 2-8%, the amounts of extracted FAMEs (at a constant proportion of ~ 37.1%) increased with increasing entrainer dosage. However, FAME proportions decreased to 27.4% at an entrainer dosage of 12%. The effects on dewatering were minimal, and the observed solids content remained stable at 19.9%. Thus, FAME proportions decreased at entrainer dosages exceeding 10%, while raw lipid yields continued increase. As a result, the bene t to FAME extraction by increasing the entrainer dosage from 8-12% was limited; 8% or 10% entrainer was suitable for the DME-based extraction of FAMEs.
The in uence of ethanol:acetone ratio on lipid yield is shown in Fig. 1 (d). Higher raw lipid yields were obtained at lower ratios of ethanol to acetone. Differences between lipid yields obtained at ratios of 1:4 to 1:2 were minimal, with yields of approximately 0.1581 g/g. Raw lipid yield began to decrease at a ratio of 1:1; yields of 0.1241 and 0.1278 g/g were obtained for ratios of 3:1 and 4:1, respectively. The effects of this ratio on FAME proportions and solids contents were not obvious; they ranged from 26.5-32.3% and from 19.6-21.1%, respectively. The greatest yields of both raw lipids and FAMEs were obtained at relatively low ratios (1:3 or 1:2) of ethanol to acetone.
Generally, raw lipids extracted from microalgae contain nonpolar lipids (e.g., triglyceride, wax esters, and steryl esters), polar lipids (e.g., phospholipid and glycolipid), free fatty acids, sterols, proteins, hydrocarbons, pigments, and other algal products [1][37] [38]. Because these components differ in polarity, the extraction process of each is in uenced by solvent polarity. Shin et al. [39] used various types of solvents to extract lipids from microalgae; they observed the lowest lipid yield with hexane, a nonpolar solvent. In contrast, more lipids were extracted by a medium polarity solvent, such as isopropanol. The greatest number of lipids was extracted using a mixture of hexane and isopropanol. The advantages of combining nonpolar and polar solvents in the extraction of lipids have been demonstrated in previous reports [3] [40]. In this study, the low polarity of DME allowed strong interactions with neutral lipids. The addition of ethanol and acetone enhanced interactions with polar lipids. This effect is ultimately responsible for the enhanced raw lipid yields and FAME proportions described above. Water in occulated microalgae acts as a barrier between intracellular lipids in cells and DME [6] [35]. The miscibility of entrainers with water was crucial to achievement of e cient lipid extraction with minimal DME consumption. In addition, the solids contents of samples increased to ~ 20% after DME treatment, indicating a simultaneous dewatering effect.
2.3 Comparison of DME-based extraction using an entrainer with Soxhlet and Bligh & Dyer extraction methods

Raw lipid yields and FAME pro les
Lipid extraction using our DME-based method was compared with Soxhlet and Bligh & Dyer extractions, as shown in Fig. 2 (b). The B&D method resulted in the highest raw lipid yields; extraction from dry and wet samples achieved 576.6 and 502.2 mg/g dry biomass, respectively. Our DME method extracted 152.2 mg raw lipid per 1 g microalgae (dry base) during the rst extraction process, which was similar to the yield obtained with a Soxhlet extraction using HE (144.9 mg/g), while the hexane-based Soxhlet extraction hardly extracted lipids. It should be noticed that, due to the simultaneous dewatering effect by DME, water content of microalgae reduced, and lipid became easier to extract after the rst DME extraction process. Thus, 306.5 mg/g raw lipid was extracted by 2nd extraction process of DME even without any entrainer addition.
The relatively highest proportion of FAMEs was obtained using the DME method (31.7% of 1st process, 13.0% of 2nd process), followed by 15.4% with B&D (dry), 10.0% with B&D (wet), and 5.3% with Soxhlet extraction (HE). These values are consistent with the ndings in previous studies [25]. In addition, signi cant differences were observed in FAME pro les among extraction methods, as shown in Fig. 3. All evaluated methods yielded FAME pro les containing primarily C14:0, C16:0, C16:1, C18:0, C18:1, and C18:2, which constituted 81.1-89.8% of the total FAMEs. However, the relative amount of each lipid varied among methods. For example, C16:0 constituted 52.2% of the FAMEs obtained via B&D (dry), while the fraction of C16:0 obtained by extraction via B&D (wet) was 25.0%. Relatively higher C16:1 proportions were obtained by DME and Soxhlet (HE) extraction (22.2% and 23.6%, respectively), compared to B&D (dry) with B&D (wet) extractions (~ 15%). The proportion of C18:1 by B&D (wet) was 22.87%, much higher than the proportion achieved with other methods. Thus, compared to Soxhlet (HE) extraction, DME method shows clear advantages for the extraction of FAMEs. The addition of ethanol into hexane did not make the solvent mixture miscible with water; thus, contact between hexane and lipids in the microalgae could not be achieved. However, certain non-lipids (e.g., sugars and pigments) were extracted into the ethanol-water phase and transferred to the HE phase, comprising the extracted raw lipid.
When B&D (dry) extraction is regarded as the benchmark for total lipid recovery [29][44], DME method of 1st extraction process extracted 26.4% of the total raw lipids and 54.4% of the total FAMEs in the microalgae. Although the process did not achieve complete lipid extraction, simultaneous dewatering would allow the remaining lipids to be easily recovered in the second DME extraction process, by which 53.2% of total raw lipids with 44.7% of the total FAMEs was further extracted by the 2nd process. Furthermore, the 2nd extraction process was not indispensable, since more than half of FAMEs has been extracted in the 1st process and it's acceptable to sacri ce some extraction e ciency in exchange for low cost. The DME method achieved lipid extraction from liquid-like microalgae sample, the energy and materials cost for dewatering samples in conventional methods can be saved. Because DME is easily recycled and reused [25], DME extraction can be considered highly economical. In addition, the DME method in this study did not require cell disruption [1] via ultrasound or microwave irradiation, high pressure homogenization, enzymatic hydrolysis, or chemical hydrolysis, while cell disruption by one or more of these processes is considered an indispensable pretreatment in other lipid extraction methods.

FTIR, TG/DTA, and elemental composition
FTIR spectra of extracted raw lipids are shown in Fig. 4. The peaks at 3,007 cm − 1 were consistent with ole nic C-H stretching in unsaturated fats [45]. The peaks at 2,953 cm − 1 were assigned to C-H stretches in -CH 3  The lipid spectra were similar, regardless of the extraction method. The only exception was that N-H peaks (2,359, 2,336 cm − 1 ) from samples obtained by B&D (wet) and DME methods were much stronger than those obtained by B&D (dry) and Soxhlet (HE) methods. These ndings indicated that raw lipids extracted by B&D (wet) and DME methods contained greater levels of nitrogen.
The oxidative and thermal stabilities of extracted raw lipids are shown in Fig. 5. For each of the four raw lipid samples, mass loss could be roughly divided into three stages [48][49]: ~50% of the mass loss occurred during the rst stage with a derivative thermogravimetry peak and corresponding DTA exothermic peak at 350 °C. This transition is due to the formation of alkyl radicals and their reaction with oxygen.
Unsaturated lipids decomposed in this stage. In the second stage (exothermic DTA peak), a ~ 20% loss of mass occurred with a derivative thermogravimetry peak at 400-415 °C. This can be attributed to the degradation of carbon chains and decomposition of any remaining unsaturated lipids and saturated lipids. The last exothermic stage, from 450 °C to 550 °C, corresponded to the complete oxidation of carbonaceous residues from the rst two stages. Slight differences were observed in the thermal data of the four lipid samples. A small derivative thermogravimetry peak (~ 3% mass loss) at 175 °C was present in the thermogram of raw lipids obtained from B&D (dry). This exothermic peak can be attributed to the initial degradation of esters by the action of oxygen, rather than the evaporation of lipids [50]. Table S2 shows the C/H/N compositions of the extracted raw lipids. Nitrogen content is an important metric when using extracted lipids as biofuel; low N content is preferable for combustion [51]. In this study, the N contents in extracted lipids ranged from 0.09-0.23%, among the various methods. The highest N content of 0.23% was obtained by DME, which was consistent with the FTIR data. The B&D (wet) extraction yielded lipids relatively high in C (76.21%) and low in O (11.26%). This can be attributed to the isolation of a wide range of components from microalgae [29].

Trace metal analyses
Trace metals in biodiesel can lead to metallic corrosion during transport and storage, enhanced pollutant emission, and engine deterioration [52] [53]. Relative to the blank (ultrapure water), trace inductively coupled plasma mass spectrometry analyses indicated the presence of Fe, Ni, Cu, Zn, Sr, Ba, Mg, K, and Na in the extracted raw lipids, as shown in Table 2. Ca and Si, which were reported by Kanda et al. [29], were not found in our microalgae samples. Trace metals in this study were derived primarily from the cultivation broth. The concentrations of Mg, Na, K, and Fe were particularly high. The Mg content in samples extracted using our DME-based method was 66‱. This indicates that further puri cation would be required to remove trace metals before using the extracted materials as vehicle fuel. Raw lipids extracted using the B&D (wet) method will likely require a similar treatment; the sum of Fe, Mg, and Na contents was 19‱.

Conclusions
A mixture of ethanol and acetone was used as an entrainer to signi cantly improve the yield of lipids extracted from occulation-harvested microalgae with DME. Addition of ethanol or acetone to DME enhanced its miscibility with water and improved lipid yields by factors of 4.0 and 6.4, respectively. Optimal conditions for lipid extraction were: 30 min, 4.2 mL DME per 1 mL microalgae, and an entrainer dosage of 8% at an ethanol:acetone ratio of 1:2. Under these optimal conditions, a comparison of our DME method (entrainer) against conventional B&D and Soxhlet extraction methods revealed that the DME method of 1st process extracted 26.4% of the total raw lipids with 54.4% of the total FAMEs in microalgae, and remnants could be easily recovered by a 2nd extraction process. Among all evaluated methods, the proportion of FAMEs was highest using our DME-based method. Finally, the extracted raw lipids obtained by each method were characterized by thermal analyses and FTIR spectrometry. Enhanced nitrogen levels in lipids extracted by B&D (wet) and our DME-based method, as indicated by strong N-H vibrations in FTIR spectra, were con rmed by C/H/N analyses. TG/DTA data indicated that extracted lipids began to decompose at 150 °C, with the nal decomposition temperature varying from 500 °C to 535 °C. Inductively coupled plasma analyses showed traces of Fe, Ni, Cu, Zn, Sr, Ba, Mg, K, and Na in the extracted raw lipid samples. DME-based extraction resulted in particularly high levels of Mg in the produced lipids, indicating that further puri cation would be required prior to the use of these extracted lipids as biofuel.

Microalgae cultivation and pretreatment
Marine microalgae strain N. oculata was obtained from the Microbial Culture Collection at the National Institute for Environmental Studies (Tsukuba, Japan). The strain is a genus of unicellular, oval-shaped, and non-mobile marine microalgae with a cell diameter of 3-8 µm. The algae were cultivated in ESM medium [54], as shown in Table S1, in 20-L bucket photo-bioreactors at 20 ± 2 °C with light/dark cycles of 12 h/12 h. After 2 weeks of cultivation, the microalgae entered the stationary phase and were thickened by induced occulation using 60 mg/L AlCl 3 .
The biomass concentrations of microalgae before and after occulation were measured. Samples were ltered through a vacuum lter with pre-weighted glass lter paper (GF/C, 1.2 um, 4.7 cm; Whatman plc, MA, USA) and were washed several times with deionized water. The ltrate was dried in an oven at 105 °C for 24 h to achieve a constant weight and cooled to room temperature in a desiccator prior to weighing. This process was repeated in triplicate. The biomass concentration of the original microalgae was 0.64 ± 0.01 g/L; it increased to 18.3 ± 0.79 g/L following occulation.

Device description and experimental procedure
As shown in Graphical abstract, the DME extraction system was composed of ve parts: a lique ed DME Flocculation-thickened microalgae were loaded onto an extraction column containing a cellulose extraction thimble (glass ber, φ25 × 100 mm, Whatman, Maidstone, United Kingdom). The entire assembly was placed in vessel 3 after the entrainer had been added. A speci ed amount of lique ed DME was pushed from vessel 1 to vessel 2 by N 2 gas (ZERO-A, Sumitomo Seika Chemicals Company, Ltd., Japan). The measured volume of DME in vessel 2 was then allowed to ow into vessel 3. After several minutes of extraction, only the liquid phase in vessel 3 was transferred to vessel 4. DME in the liquid evaporated with pressure relief and the raw lipids were deposited on the upper surface of the residual liquid (entrainer, water, and salts). The separated raw lipids were dissolved in 5.0 mL of chloroform (Guaranteed Reagent, Wako Co., Ltd.) and ltered through a 0.45-µm membrane lter (DISMIC-13HP, Advantech Co., Ltd., Japan). The chloroform was then removed by a stream of nitrogen gas (Nitrogen Termovap Sample Concentrator, Tokyo Rikakikai Co., Ltd., Japan); the recovered raw lipid concentrate was weighed and stored below 0 °C.

Entrainer screening
Four potential entrainers (Table 1), miscible in water at any ratio, were evaluated for their e ciency in lipid extraction using liquid DME. In each experiment, 25 mL of DME was used to extract the lipids from 8 mL of occulation-thickened microalgae (

Bligh and Dyer extraction
The Bligh and Dyer method [55] is a classical method for lipid extraction, which is regarded as a reference point for determining the total lipid content of microalgae [29]. In this study, the Bligh and Dyer method was applied to both occulation-thickened microalgae and completely dried microalgae (heated at 105 °C for 24 h). For the dried microalgae, 5.0 mL of methanol (Guaranteed Reagent, Wako Co., Ltd.), 2.5 mL of chloroform (Guaranteed Reagent, Wako Co., Ltd.), and 2.0 mL of pure water were mixed in a centrifuge tube with a dried sample that had been obtained from 10 mL of occulation-thickened microalgae. The mixture was crushed using a homogenizer (T25, IKA Co., Ltd., Germany) at 10,000 rpm for 5 min and mixed using a Vortex Genie (SI-0236, SI Co., USA) for 5 min. Then, 2.5 mL of chloroform and 2.5 mL of pure water were added to the tube with an additional 2 min of mixing. After the sample had been centrifuged at 3,000 rpm (2410, Kubota Co., Ltd., Japan) for 5 minutes, it was divided into three layers from top to bottom: water-methanol, microalgae, and lipid-chloroform. Chloroform was recovered from the bottom layer; the resulting lipid-rich mixture was ltered through a 0.45-µm membrane. Most solvent was removed using a rotary evaporator at 40 °C under vacuum. The remaining solvent was removed by evaporation with a stream of nitrogen. The resulting raw lipids were weighed and stored below 0 °C. Flocculation-thickened microalgae were processed using the same modi ed Bligh and Dyer method, except no additional water was added. The original sample volume was 5 mL.

Soxhlet extraction
Soxhlet extraction is commonly used to extract lipids from biomass [56]. Two solvents were evaluated in this study: hexane and hexane-ethanol (HE). For each experiment, 20 mL of occulation-thickened microalgae were place in a cellulose extraction thimble (glass ber, φ28 × 100 mm, Whatman) along with 100 mL hexane or 100 mL of HE (1:1 v:v). The thimble was then loaded into a Soxhlet extraction device. Each extraction was run for 24 h to ensure completeness; resulting extracts were transferred to a ask where the solvent was removed by rotary evaporation under vacuum. The extracts were then re-dissolved in 10 mL of chloroform and ltered through a 0.45-µm membrane. The solvent was then removed completely by evaporation with a stream of nitrogen. The resulting raw lipids were weighed and stored below 0 °C.

Extract characterization
Extracted raw lipids were converted to fatty acid methyl esters (FAMEs) by transesteri cation; FAME yields were analyzed by gas chromatography-mass spectrometry (GC/MS-QP2010 Plus, Shimadzu Corp., Kyoto, Japan). Speci cally, the raw lipids were re-dissolved in 5 mL of dichloromethane (Guaranteed Reagent, Wako Co., Ltd.) and methylated by mixture with 2 mL of 14% BF 3 -methanol solution (First Grade, Wako Co., Ltd.) at 65 °C for 40 min. After the mixture had cooled to room temperature, the dichloromethane layer containing FAMEs was separated by addition of 4 mL of saturated aqueous NaCl solution (Guaranteed Reagent, Wako Co., Ltd.). After the dichloromethane layer had been isolated, the solvent was evaporated using a stream of nitrogen. The recovered FAMEs were then re-dissolved in a speci ed amount of dichloromethane for gas chromatography-mass spectrometry analysis using a 37-component FAME mixture (Sigma-Aldrich Japan, Co., Ltd., Tokyo, Japan) as a standard.
The carbon, hydrogen, and nitrogen contents of the extracted raw lipids were determined using an elemental analyzer (Micro Corder JM10, J-science Labo Co., Ltd.). FTIR spectra of the lipids were obtained using a Shimadzu FTIR-8400 spectrometer. Lipid samples were dropped onto a KBr tablet (Infrared spectrophotometry grade, Wako Co., Ltd.) and spectra were acquired from 400 to 4000 cm − 1 . TG and TG-DTA were performed using a Rigaku ThermoPlus TG8110 with an air ow of 100 mL/min and a heating rate of 10 °C/min from 20 °C to 650 °C.
Trace elements in the extracted lipids were qualitatively analyzed by inductively coupled plasma mass spectrometry (XSeries 2, Thermo Fisher Scienti c Co.), then quantitatively analyzed by inductively coupled plasma atomic emission spectroscopy (ICAP-7000, Thermo Fisher Scienti c Co.