Publisher Correction: Study on the Visualization of Pigment in Haematococcus pluvialis by Raman Spectroscopy Technique

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

www.nature.com/scientificreports www.nature.com/scientificreports/ an effective chemometric method 10,11 . MCR-ALS has been widely used in the analytic application of hyperspectral imaging 12 , chromatographic peaks, infrared spectroscopy, degradation processes in chemical reactions and so on 13 . Compared with the Principal Component Analysis (PCA), Independent Component Analysis (ICA) and other models, the analytical model of MCR-ALS can easily uncover the physicochemical information in the samples. By setting a few constraints for the obtained signal, such as bilinear, non-negative, unimodal, and closed, it is much easier to constrain and build the model based on known information so as to offer a more accurate solution.
Although some progress has been made in the visualization of carotenoids, research which can directly prove the transportation process in living cells is still missing. Mechanism of synthesis and accumulation of molecular and cellular of secondary carotenoids remained mysterious 14 . Reveal the accumulation mechanism of secondary carotenoids is of great significance for the research and could be very beneficial in the context of utilization of H. pluvialis. Therefore, it has become very meaningful to study the spatial distribution and change of components in H. pluvialis. In this work, the confocal micro-Raman technique was used to perform a point-by-point scan of H. pluvialis cells to obtain the Raman spectra of H. pluvialis, and the Raman spectra of H. pluvialis was analyzed. Firstly, the distribution map of carotenoids in algae cells was established by C = C stretching vibration Raman information. Then the Raman data was combined with MCR-ALS algorithm to distinguish the astaxanthin information. At the same time, the true content of astaxanthin was measured by HPLC. Finally, the relationship of the spatial distribution between carotenoids and astaxanthin in living cells was analyzed. This will serve as a reference for further analysis of the internal components of algae.

Materials and Methods
Culturing of H. pluvialis and stress conditions. Experimental H. pluvialis (strain 712) was purchased from the Wildlife Genebank of Chinese Academy of Sciences-Freshwater Algae. H. pluvialis was cultured in BG11 medium after autoclaving at 120 °C. The medium was placed in an artificial climate chamber. The incubator was set at a temperature of 25 °C. The light intensity was about 2500 Lux, and under periodic illumination conditions (12 light:12 dark) cultured continuously. The H. pluvialis was shaken three times a day, and the algae cells sinking at the bottom of the bottle were suspended in the culture solution. After the H. pluvialis was cultured for a period of time, H. pluvialis in a green cell state was centrifuged. Using a 50 mL centrifuge tube, the algal fluid was centrifuged at 5000 r/min at low temperature (4 °C) for 10 min. The supernatant was discarded and the algal cell pellet was washed twice with ultrapure water to remove the solute from the algal fluid. The algal cells were cultured in a BG11-N culture fluid and then put aside for the next step. Taking a 1000 mL Erlenmeyer flask after high-temperature sterilization, and choose the optimal combination of orthogonal experiment, namely sodium nitrate: 0.15 g/L, sodium acetate: 1.5 g/L, sodium chloride: 0.1%, finally prepare 1000 mL of algal fluid, the pH of the algae fluid is about 7.0, the algae density is about 2.65 × 10 5 cells/mL. H. pluvialis was placed in a light incubator. Culture temperature was set at 25 °C, light intensity was set at 8000 Lux, and under periodic illumination conditions (24 light:0 dark).
Confocal micro-raman spectroscopy data acquisition. In order to collect Raman spectra of living microalgae cells, cells were fixed in 2% to 4% agar. The agar powder was added to distilled water and heated until the solution boiling for 5 min, later it was left to cool down to about 40 °C, the algae liquid and the agar liquid were mixed in a volume ratio of 1:3. The cooled solidified mixture was sliced and the sample was placed on a slide. The microscope is used to identify single cells, an automatic XYZ platform was used to control the moving distance, so that Raman information can be collected for the entire single cell, achieving the entire surface scan on the cell. The prepared sample was fixed on a stage under the microscope objective of Renishaw in-Via-Reflex (London, England), a laser beam was emitted using a 532 nm argon ion (Ar+) laser device and focused on the surface of the sample through a 50× objective lens, and the incident laser power was approximately 1 mW. The exposure time was 1 s and the spectral collection range was 600-1800 Raman shift/cm −1 . 3-4 sets of mapping data were acquired for different periods of the cells, acquisition step was 0.7 um, and the cumulative number of times was one.

experimental reagents and instruments.
(1) Experimental materials: agar, sodium nitrate, sodium acetate, sodium chloride, sodium hydroxide and dichloromethane were purchased from Sinopharm Chemical Reagent Co., Ltd., the purity was analytically pure; methanol was a chromatographically pure reagent (≥99.9%, Sigma); Astaxanthin Standard (CAS: 472-61-7, Aladdin); Ultrapure water. Determination of cell density and dry weight. Due to large volume of H. pluvialis cells, the cell density was usually determined by the blood count plate method. Cells were observed and counted on the counting plate with a ×40 objects glass. Before counting, the algae solution was shaken well, and the average was counted three times each time to reduce the counting error.
www.nature.com/scientificreports www.nature.com/scientificreports/ 45 mL of algal fluid was sampled and centrifuged with a 50 mL centrifuge tube, and the cells were washed twice with distilled water to obtain an algal cell pellet. Then the precipitate was dried in an oven at 80 °C until the weight was stable and weighing. Weight of the algae cells was equal to the weighing result minus the weight of the test tube.

HPLC determination of astaxanthin.
(1) Standard curve of astaxanthin: Dissolve 10 mg of astaxanthin in small portions methylene chloride to make 100 mg/L with methanol and stored in a brown bottle at −20 °C. The external standard method was employed for linear analysis. The appropriate volume of solution was extracted from the 100 mg/L standard solution to prepare 6 concentration gradients of 0.1 mg/L, 0.5 mg/L, 1 mg/L, 2 mg/L, 5 mg/L and 10 mg/L, respectively. Astaxanthin concent (mg/L) was set as the abscissa and the corresponding peak area was set as the ordinate. After the linear analysis, a standard curve of HPLC for astaxanthin was obtained in Fig. 1.
(2) Extraction of astaxanthin: Take 3 mL of H. pluvialis algal fluid into a 5 mL test tube after spectral collection, then centrifuge for 12 min at 5000 r/min(4 °C), after centrifugation the supernatant was discarded. The algal cell sediment was washed with ultrapure water twice, appropriate amount of liquid nitrogen was added to the centrifuged test tube to make the algal cells hardened and easy to break the cell wall. After the liquid nitrogen was completely volatilized, 4 beads with a diameter of 5 mm were placed in the test tube and the cell wall was broken using a grinder. Then, adding 2 mL of a methanol-dichloromethane (Volume ratio 3:1) extract to the test tube. Oscillating for 10 s to fully extract astaxanthin, the extract was poured into a 10 mL test tube, and the extract was added to the grinding tube several times to reduce the residue of astaxanthin during grinding. The extracts were poured into 10 mL test tubes. The shaken extract was centrifuged at 10000 r/min for 15 min, and the supernatant was sealed and stored at −20 °C. (3) Astaxanthin ester saponification: Take 1 mL of freshly NaOH methanol solution(0.1 mol/L),Then add it to 5 mL of the extract and seal it in a dark refrigerator at 4 °C. After about 12 h of reaction, the sample was centrifugated for 15 min(10000 r/min, 4 °C). The supernatant was aspirated as a sample for HPLC analysis. (4) Chromatographic conditions: 250 × 4.6 mm chromatographic column (Agilent, America) was used and the mobile phase was methanol and water (95%:5%, v/v), the flow rate was 1.0 mL/min. Diode array detector was used to scan the sample and scanned-wavelength was 250-700 nm, 476 nm was set as the detection band. The sample size was 10 μL.
From the astaxanthin chromatogram, it was found to be about 8.337 min, and there is a distinct peak associated with astaxanthin. The chromatogram of Haematococcus pluvialis has a peak at about 8.855 min, which is very close to the peak of the standard. It can be considered that the peak at this position is the astaxanthin peak. The content of astaxanthin was determined from the size of the peak area.
Raman spectroscopy preprocessing and modeling. When multiple spectra were mixed together, it would be difficult to identify cosmic rays that were not significant. Therefore, the Raman spectral set was preprocessed using De-trending, and many scanning points of the cosmic rays which are present in the Raman spectrum were revealed, then Wire Software was used to process the cosmic rays. Since the acquired spectrum has a good signal-to-noise ratio, the Nearest Neighbor method was used. After processing the spectrum containing cosmic rays, the background of the Raman spectrum needs to be removed. Baseline correction of Raman spectra was utilized, and then the Raman spectra were denoised and smoothed by Savitzky-Golay (SG) 15 . The subsequent model establishment was based on the data obtained after the above processing steps.
MCR was used to extract astaxanthin information from the Raman spectroscopy data 9 . The following is the main process of MCR-ALS algorithm operation 13 : www.nature.com/scientificreports www.nature.com/scientificreports/ For a two-dimensional spectral matrix X (m × n), m is the number of samples and n is the number of wavelengths. X can be expressed as: In the formula: C(m × p) and S T (p × n) represent the concentration distribution matrix and the pure spectrum combination matrix respectively, E represents the measurement error matrix, and p is the number of analysis system components. In order to distinguish the physical meanings of C and S, the multivariate curve resolution algorithm uses an alternating least-squares algorithm ALS to iteratively compute the approximate concentration distribution matrix and the initial value of the spectral matrix, and converts it into a true concentration distribution curve and spectral curve.
T 1 Normalize the S obtained by Eq. (2), that is, S = S/||S||, and then carry the normalized S into Eq. (3) and recalculate the estimate of C, Use the above two formulas to iteratively calculate S and C, until the degree of change between C and S obtained by two adjacent calculations converges, and C and S with physical and chemical significance were obtained. The initial value of C was obtained by the Evolving Factor Analysis (EPA). In the process of ALS iterative optimization, the spectrum was non-negatively restricted, and the concentration was non-negative and unimodal.

Results
Physiological changes of H. pluvialis. Figure 2 shows the change of carotenoid content, astaxanthin content and astaxanthin proportion of single cell dry weight in 0-48 h. In Fig. 2(a), carotenoid content was raised due to environmental stress. At the same time, astaxanthin content also increases as shown in Fig. 2(b). The increase in astaxanthin content of H. pluvialis also increased the dry weight of algae to some extent, as shown in Fig. 2(b,c). In Fig. 2(d), the average proportion of astaxanthin in the dry weight of unicellular gradually increased, ranging from 0.152%(0 h) to 0.185%(48 h), and the proportion of 0 h was similar to the ratio of 0.164% at 24 h, indicating For the original Raman spectral curve collected, first use the detrending algorithm to preprocess, then remove the cosmic ray and correct baseline, finally use the convolution smoothing method to smooth the Raman spectrum to denoise. The following model establishment data were based on the above processing steps. Figure 3 shows the Raman average spectra of H. pluvialis from 0-48 h and the standard curve of astaxanthin. For the Raman curve of the astaxanthin standard, it can be found that there are many Raman peaks in the Raman spectrum of the standard, with strong Raman peaks at Raman shifts of 1009 cm −1 (C-H bend), 1159 cm −1 (C-H stretch) and 1519 cm −1 (C = C stretching vibration) 16 . There are other weaker peaks, of which 1448 cm −1 (C-H 2 ), 1195 cm −1 (C-H 3 ), 1278 cm −1 (C-H 3 and C-C) and 966 cm −1 (C-H 3 ) 17-21 . Using the information of these bonds, the correlation between Raman spectra of H. pluvialis and astaxanthin can be analyzed. The visualization map of H. pluvialis cells at 0-48 h were obtained by removing the irrelevant points in the Raman scan. The Table 1 shows the corresponding substance of the related bonds in Raman spectra for H. pluvialis. It can be seen from the Fig. 3 that the Raman spectrum of H. pluvialis is very similar to the Raman spectrum of the astaxanthin standard measured, and the three average spectra all have obvious Raman peaks. Among them, the three peaks at 1007-1009 cm −1 , 1158-1160 cm −1 , and 1524-1527 cm −1 are the most noticeable; the two strong peaks at 1007-1009 cm −1 , 1158-1160 cm −1 and other relatively weak peaks have only 1-2 cm −1 deviation from the peaks of the Raman peak corresponding to astaxanthin. By the displacement of these similar peaks, it can be inferred that some changes have occurred in the internal components of H. pluvialis. It can be seen that from 0-48 h, the peak intensity of three corresponding Raman lines at 1007-1009 cm −1 , 1158-1160 cm −1 and 1524-1527 cm −1 increases with time. Through the analysis of key position information, this change may be mainly caused by the increase of carotenoids, while carotenoid mainly contains other pigments such as β-carotene, astaxanthin, etc. According to the synthetic pathway of astaxanthin, the accumulation of astaxanthin requires the synthesis of carotenoids such as β-carotene, so the main reason that may cause this change is the increase in astaxanthin. However, the Raman intensity at 1007-1009 cm −1 , 1158-1160 cm −1 and 1194-1196 cm −1 may also be affected by other components (lipids, proteins, amide III, etc.). Therefore, it is more meaningful to select 1524-1527 cm −1 (C = C) to analyze the change of carotenoids. www.nature.com/scientificreports www.nature.com/scientificreports/ Analysis on visualization of carotenoids and astaxanthin. In the average spectra of the three stress stages(0 h, 24 h, 48 h) of H. pluvialis in Fig. 3, their corresponding C = C stretching vibration at the Raman peak of 1524-1527 cm −1 is the main sensitive marker of the chemical structure of carotenoids 7 . Therefore, Raman information in 1524-1527 cm −1 can be used to analyze changes in astaxanthin. It can be seen that the Raman shifts(C = C) of H. pluvialis at 0-48 h are all different, and there is a deviation of 4-7 cm −1 with 1520 cm −1 (C = C) for the astaxanthin standard, the Raman shift (C = C) start blue-shifted with the accumulation of astaxanthin. The Raman spectrum of H. pluvialis is a biological spectrum. In addition to astaxanthin, other carotenoids (such as β-carotene) in the H. pluvialis cells also have C = C stretching vibration 21,22 , multiple components information superposition also caused the key position offset. Therefore, the C = C stretching vibration strength obtained in Raman spectrum of H. pluvialis cells mainly reflects the information of the carotenoids composition. The Raman information of the C = C stretching vibration can be used as a marker of the Raman mapping of the carotenoids mixture in this study. The mapping intensity can be visualized using the peak intensity at the position of the displacement of the tensile bond to achieve the carotenoids distribution analysis. As a substance in carotenoids, astaxanthin needs further analysis of the acquired Raman spectrum in order to extract the effective information.
It is difficult to distinguish the astaxanthin information. The components were resolved after 50 iterations by MCR-ALS from the Raman spectrum of H. pluvialis and the spectra of the three principal components(Component-1, Component-2, Component-3) were compared with the Raman spectra of astaxanthin standards. As shown in Fig. 4, it can be found that the spectral characteristics of Component-2 was very similar to the astaxanthin standard., the peak position of the three major peaks are very close and the corresponding peak position at the C = C stretching vibration was only about 1 cm −1 away from the astaxanthin standard. By comparison and analysis, Component-2 can be presumed to be astaxanthin in H. pluvialis. After deducing that Component-2 was astaxanthin, the concentration of the components can be calculated in combination with MCR-ALS.
Calculate the ratio of Component-2 to total concentration and the ratio was combined with the Raman peak intensity of the pretreated H. pluvialis Raman spectrum at the corresponding C = C stretching vibration(1524-1527 cm −1 ), then the intensity value of astaxanthin in H. pluvialis was calculated and the obtained intensity value was used to perform visual analysis of astaxanthin in cells. The same data processing method was used to process data of 24 h and 48 h to obtain the Raman spectrum information of astaxanthin. 1007-1009 C-H bend, C-H 3 ,C-C Related carotenoids, β-carotene, astaxanthin, lipids, etc. 16,18 1157-1160 C-C stretching vibration Related carotenoids, β-carotene and proteins 16,18 1194-1196 C-H deformation vibration β-carotene, amide III 19 1275-1277 C-C Amide III 20 1448-1450 C-H 2 deformation vibration Unsaturated fatty acid 6,21 1516-1527 C = C stretching vibration Astaxanthin, β-carotene, related carotenoids 21,22   www.nature.com/scientificreports www.nature.com/scientificreports/ After scanning the cell of H. pluvialis by confocal Raman microscopy, a visual image of carotenoids was established with the Raman peak intensity of the C = C stretching vibration. Combined with the MCR-ALS to analysis astaxanthin, the corresponding concentration of astaxanthin was introduced to achieve spatial visualization in cells. As shown in Fig. 5, the spatial distribution of carotenoids and astaxanthin was visualized. From Fig. 5, it can be seen that the inverted carotenoid content map has basically formed a cell shape, indicating that in the H. pluvialis cells, the carotenoids are widely distributed, but the location of the distribution is also different; During the stress period from 0-48 h, astaxanthin is rapidly produced and accumulated around the nucleus during intermediate stages to protect the ultrastructures 23 . It is esterified in the endoplasmic reticulum and finally deposited in the cytoplasmic lipid droplets, but not in the thylakoid membrane 24 . At the same time, it can be seen from the Fig. 2(a,b) that the content of carotenoid and astaxanthin gradually change from 0-48 h, the intensities were found to be initially concentrated towards the cell center and then extended to the cell periphery 25 . As shown from Fig. 2(d), the astaxanthin proportion of dry weight in single cell has been increasing, indicating that the astaxanthin visualization map can reflect the change of astaxanthin in the whole cell to some extent. Therefore, the increase in intensities and the expansion of the distribution in visualization map indicate that the content of astaxanthin was rising. Comparing the visual distribution maps between astaxanthin and carotenoids, it can be found that astaxanthin is basically distributed in the space where carotenoids are distributed, and in the carotenoid map, where raman intensity is higher, which is also reflected in the visual map of astaxanthin. Therefore, it can also be inferred from the two diagrams that in the carotenoid diagram, the higher content sites may be partially caused by astaxanthin, Thus, it can be analyzed that astaxanthin has a certain contribution rate to the Raman peak value of the C = C stretching vibration in Raman spectra of H. pluvialis. At the same time, it was demonstrated that the MCR-ALS method is very effective in extracting information of astaxanthin from H. pluvialis, and is of great significance for future research on other components of H. pluvialis. Visualization of carotenoids reflected the intracellular changes of H. pluvialis during the stress process, indicating that the Micro-Raman technique is effective for the detection of internal components of algal cells. It provides a very direct evidence for the study of the internal composition of the algal cells and is beneficial to explore the biological characteristics of living cells. www.nature.com/scientificreports www.nature.com/scientificreports/ Discussion 2-3 different cells were measured and analyzed each time, but considering the consistenttrend of results, we only present the images of one cell as a typical case. In order to verify the visualized results of the test, we measured the actual content of carotenoids and astaxanthin. Comparing the components resolved by MCR-ALS with the Raman spectra of astaxanthin standards, Component-2 was deemed to be the information of astaxanthin in the pigment mixture. The visual representation of Component-2 can be used as an efficient indicator to reflects the information on astaxanthin in the cells.
This article provides the visual analysis of carotenoids and astaxanthin. While H. pluvialis contains many other ingredients such as β-carotene, oil, etc. These ingredients also shows certain relationship with the change of astaxanthin content. The multi-component study should be explored and taken into the investigation in the future to provide more direct evidence for the astaxanthin synthesis pathway, so that the relationship between them and astaxanthin can be directly analyzed from these changes. It is also essential to improve and mature the level of technology and eventually achieve to a higher level of application such as dynamic monitoring of compositional changes in living cells. The current research is with quite a lot technical challenges. Although each shift has corresponding bond to analyze the component information, the Raman spectrum of the living body contains various components, so that how to distinguish the components from each other becomes problematic. At present, there are many approaches such as multivariate linear resolution which can analyze the spectral information of components. However, these methods are built on mathematical theory. Investment on more effective and accurate analytical methods is foreseen to attract more attention and will be explored in our future study.

Conclusion
The imaging analysis of carotenoids was achieved by using the confocal micro Raman technique to analyze point-by-point imaging H. pluvialis cells. Through the comparison of the two distribution images, it was revealed that accumulation of astaxanthin had a certain effect on the increase of carotenoids. By comparing the difference between Raman spectra of H. pluvialis and astaxanthin standards, the Raman intensity at the C = C stretching vibration position was used as the main indicator of carotenoids to obtain the carotenoid distribution of H. pluvialis. The MCR-ALS are utilized for iterative modeling to distinguish the astaxanthin information in Raman spectra of H. pluvialis and this information then can be used to achieve visualization of the spatial distribution of astaxanthin in H. pluvialis cells. At the same time, the visual image of astaxanthin shows that MCR-ALS is very beneficial for the extraction of component information in the H. pluvialis astaxanthin. By exploring the spatial distribution of carotenoids and astaxanthin, and analyzing the relevant laws from the spatial distribution images, it is demonstrated that the Micro-Raman spectroscopy technique is feasible for studying the internal components of H. pluvialis cells. In the future research, it is necessary to explore the relationship between more components in order to expect more complete and rich visual evidence in the astaxanthin accumulation synthesis pathway.
As a non-destructive detection method, Micro-Raman spectroscopy technology has extremely vital meanings for the detection of living cells. Using this technology can not only achieve two-dimensional imaging analysis, but also can achieve three-dimensional analysis of cell components 26 , realizing multidimensional analysis of components in living cells. Of course, there are also some disadvantages. In this study, Raman information of the whole cell collected point by point takes a long time. In worst case, time-consuming is close to one hour, and the shortest one takes half an hour. Therefore, this deficiency limits the rapid detection of Raman spectroscopy to some extent. However, Raman technology has been maturing, and rapid imaging of Raman has become possible in recent years. Making use of coherent anti-Stokes Raman scattering and spontaneous Raman spectroscopy can achieve high-throughput cell detection 27 . Raman imaging technology can achieve a direct overall presentation of objects 28 , thereby increasing the speed of measurement. Due to the complexity of the components of the organism, the collected Raman spectrum may contain many non-target components. At present, the Raman standard atlas is very scarce, which also brings certain difficulties for the analysis of biological components. Although some methods for compositional analysis are proposed much more frequently, they are all based on mathematical theory, and the judgment of the pure material spectrum still requires some experience. However, as the chemometrics approach matures, studies of biological components will not stagnate 9 . Raman spectroscopy still has great potential for the study of organisms.