Article(id=1320882361462542885, tenantId=1146029695717560320, journalId=1260987677001138203, issueId=1320882022160126288, articleNumber=null, orderNo=null, doi=10.13386/j.issn1002-0306.2024120349, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1735142400000, receivedDateStr=2024-12-26, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1792852495780, onlineDateStr=2026-10-24, pubDate=1767196800000, pubDateStr=2026-01-01, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1792852495780, onlineIssueDateStr=2026-10-24, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1792852495780, creator=13701087609, updateTime=1792852495780, updator=13701087609, issue=Issue{id=1320882022160126288, tenantId=1146029695717560320, journalId=1260987677001138203, year='2026', volume='47', issue='1', pageStart='1', pageEnd='498', issueExtLink='null', onlineDate='null', pubDate='1767196800000', pubDateStr='2026-01-01', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1792852414884, creator='13701087609', updateTime=1792852414884, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=270, endPage=278, ext={EN=ArticleExt(id=1320882361789698598, articleId=1320882361462542885, tenantId=1146029695717560320, journalId=1260987677001138203, language=EN, title=Preparation and
in Vitro Performance Study of
Bacillus subtilis-Nanocellulose Microcapsules, columnId=1261343843090313538, journalTitle=Science and Technology of Food Industry, columnName=Processing Technology, runingTitle=null, highlight=null, articleAbstract=
Bacillus subtilis is a probiotic with important physiological functions, its activity will decrease during processing, storage and through the digestive tract. To overcome these unfavorable factors and improve the gastrointestinal survival rate and storage stability of Bacillus subtilis, this study combined nanocellulose with sodium alginate and prepared sodium alginate microcapsules (S-MC) and nanocellulose sodium alginate microcapsules (N-MC) using endogenous emulsification method to encapsulate Bacillus subtilis. The preparation process was optimized using single-factor experiments and response surface methodology. The resulting microcapsules were characterized, and their stability as well as performance in simulated gastrointestinal fluids were evaluated. The results showed that when the mass fraction of sodium alginate was 2.0%, the mass fraction of nano cellulose was 1.4%, the stirring speed was 610 r/min, and the volume ratio of water to oil was 1∶2.9, the embedding rate of S-MC and N-MC for Bacillus subtilis was 80.20% and 85.12%, respectively. By analyzing the results of scanning electron microscope, Fourier transform infrared spectroscopy and X-ray diffraction, it was proved that the capsule wall of S-MC had a porous structure, while nanocellulose and sodium alginate in N-MC were crosslinked with calcium ions to form a tighter gel network structure. The number of viable bacteria in N-MC decreased by 1.48 log CFU/g, which was lower than that in S-MC (2.06 log CFU/g) and free group (3.09 log CFU/g). In the simulated intestinal fluid test, S-MC released almost all Bacillus subtilis at 60 min, while N-MC released all Bacillus subtilis at 270 min, N-MC showed better slow-release performance. In addition, the storage stability test showed that N-MC could still release 7.84 log CFU/g Bacillus subtilis after 28 days of storage at 4 ℃. In this study, a new product of Bacillus subtilis microcapsule was prepared, which provided a theoretical basis for the microencapsulation of Bacillus subtilis.
, authors=Xinbo ZHANG, Honglei GUO, Zheng ZHANG, Ziyi LÜ, Ning MA
*, authorsList=Xinbo ZHANG, Honglei GUO, Zheng ZHANG, Ziyi LÜ, Ning MA, authorCompany=null, correspAuthors=Ning MA, authorNote=null, correspAuthorsNote=null, copyrightStatement=Copyright © 2026 Science and Technology of Food Industry. All rights reserved., copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1320882365547795003, articleId=1320882361462542885, tenantId=1146029695717560320, journalId=1260987677001138203, language=CN, title=枯草芽孢杆菌-纳米纤维素微胶囊的制备及体外性能研究, columnId=1261343845481066826, journalTitle=食品工业科技, columnName=工艺技术, runingTitle=null, highlight=null, articleAbstract=
枯草芽孢杆菌是一种具有重要生理功能的益生菌,其活力在加工、储藏以及通过消化道等过程中会降低。为克服这些不利因素,提高枯草芽孢杆菌的胃肠道存活率和储藏稳定性,本研究将纳米纤维素和海藻酸钠结合,采用内源乳化法制备海藻酸钠微胶囊(Sodium Alginate Microcapsules,S-MC)和纳米纤维素海藻酸钠微胶囊(Nanocellulose Sodium Alginate Microcapsules,N-MC),对枯草芽孢杆菌进行包封。采用单因素实验和响应面法对微胶囊的制备工艺进行优化,并对两种微胶囊进行表征分析、模拟胃肠液及稳定性分析。结果表明,微胶囊在海藻酸钠质量分数为2.0%、纳米纤维素质量分数为1.4%、搅拌速度为610 r/min,水油体积比为1:2.9时,包埋率最高,此时S-MC和N-MC对枯草芽孢杆菌的包埋率分别为80.20%和85.12%。通过对扫描电子显微镜、傅里叶变换红外光谱和X射线衍射结果分析,证实了S-MC的囊壁具有多孔结构,而N-MC中纳米纤维素、海藻酸钠与钙离子交联,形成了更加紧密的凝胶网络结构。通过模拟胃液实验发现,N-MC中的活菌数下降了1.48 log CFU/g,低于S-MC中下降的活菌数(2.06 log CFU/g)和游离组中下降的活菌数(3.09 log CFU/g)。在模拟肠液实验中S-MC在60 min时几乎就释放了全部的枯草芽孢杆菌,而N-MC在270 min时才将全部枯草芽孢杆菌释放,表现出更好的缓释性能。此外,通过储藏稳定性实验发现,N-MC在4 ℃下储藏28 d后,仍能释放7.84 log CFU/g的枯草芽孢杆菌。本研究制备了一种枯草芽孢杆菌微胶囊新产品,为枯草芽孢杆菌微囊化提供了理论依据。
, authors=张新博, 郭宏磊, 张峥, 吕紫一, 马宁
*, authorsList=张新博, 郭宏磊, 张峥, 吕紫一, 马宁, authorCompany=null, correspAuthors=马宁, authorNote=
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, copyrightStatement=版权所有 © 2026《食品工业科技》编辑部, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=Ih1hPBComdQ3nHRu3vwXyg==, magXml=foZlTjJe/ik3IsaG69CH6Q==, pdfUrl=null, pdf=ayXctwjIhIOrsSnvjfv/MA==, pdfFileSize=5660635, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=A4bvFkF2g2OwY1GfKd8NlA==, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=xFlxW+VEJRoBxtJ3IAILug==, mapNumber=null, fund=null)}, authors=[Author(id=1320882365858173504, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=18831057156@163.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1320882365954642498, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, authorId=1320882365858173504, language=EN, stringName=Xinbo ZHANG, firstName=Xinbo, middleName=null, lastName=ZHANG, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=College of Veterinary Medicine, Hebei Agricultural University, Baoding 071000, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1320882366025945667, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, authorId=1320882365858173504, language=CN, stringName=张新博, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=河北农业大学动物医学院,河北保定 071000, bio={"content":"
张新博(2001−),男,硕士研究生,研究方向:兽药药理学,E-mail:18831057156@163.com
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Lactobacillus plantarum LAB12 against low pH, high temperature and prolonged storage[J]. Probiotics and Antimicrobial Proteins, 2018, 10(3): 543−557., articleTitle=null, refAbstract=null)], funds=null, companyList=[AuthorCompany(id=1320882365774287420, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, xref=null, ext=[AuthorCompanyExt(id=1320882365782676029, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, companyId=1320882365774287420, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=College of Veterinary Medicine, Hebei Agricultural University, Baoding 071000, China), AuthorCompanyExt(id=1320882365791064638, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, companyId=1320882365774287420, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=河北农业大学动物医学院,河北保定 071000)])], figs=[ArticleFig(id=1320882367896605282, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=EN, label=Fig.1, caption=
Influence of different factors on the embedding rate of microcapsules, figureFileSmall=azP8JEha+ORqWGCvhAmSzw==, figureFileBig=A4bvFkF2g2OwY1GfKd8NlA==, tableContent=null), ArticleFig(id=1320882367955325539, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=CN, label=图1, caption=
不同因素对微胶囊包埋率的影响注:A:海藻酸钠质量分数;B:纳米纤维素质量分数;C:搅拌速度;D:水油体积比;不同的小写字母表示数据有显著差异(P<0.05)。
, figureFileSmall=azP8JEha+ORqWGCvhAmSzw==, figureFileBig=A4bvFkF2g2OwY1GfKd8NlA==, tableContent=null), ArticleFig(id=1320882368219566692, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=EN, label=Fig.2, caption=
Response surface diagrams of the interaction of two factors, figureFileSmall=ofWlGFKi7G5bn8t/H694fA==, figureFileBig=8qOvnOKlgAMRYWvy7zDaow==, tableContent=null), ArticleFig(id=1320882368467030629, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=CN, label=图2, caption=
各因素交互作用对包埋率影响的响应面图, figureFileSmall=ofWlGFKi7G5bn8t/H694fA==, figureFileBig=8qOvnOKlgAMRYWvy7zDaow==, tableContent=null), ArticleFig(id=1320882370035700326, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=EN, label=Fig.3, caption=
TEM and SEM images of NC, figureFileSmall=hOIJjQ5aJfznZiJjvn1K7A==, figureFileBig=uy2o+xK2ZLyBaRvZHOTBgA==, tableContent=null), ArticleFig(id=1320882370098614887, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=CN, label=图3, caption=
NC的TEM图像和SEM图像注:A、B:NC的TEM图像;C:EBP的SEM图像(1000×);D:NC的SEM图像(1000×)。
, figureFileSmall=hOIJjQ5aJfznZiJjvn1K7A==, figureFileBig=uy2o+xK2ZLyBaRvZHOTBgA==, tableContent=null), ArticleFig(id=1320882370169918056, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=EN, label=Fig.4, caption=
SEM images of microcapsules, figureFileSmall=5r8avm0ZMMOEILxOWwpDDg==, figureFileBig=8h9K7JudYFvmGOEHxH5Xbg==, tableContent=null), ArticleFig(id=1320882370278969961, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=CN, label=图4, caption=
微胶囊的SEM图像注:A:S-MC的SEM图像(500×);B:S-MC的SEM图像(20000×);C:N-MC的SEM图像(500×);D:N-MC的SEM图像(20000×)。
, figureFileSmall=5r8avm0ZMMOEILxOWwpDDg==, figureFileBig=8h9K7JudYFvmGOEHxH5Xbg==, tableContent=null), ArticleFig(id=1320882370341884522, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=EN, label=Fig.5, caption=
FT-IR spectra of NC and microcapsule, figureFileSmall=yZCfx1zFeg7zNhkhB2Kf+g==, figureFileBig=VwMOeV9bkmCR4oy3D8alJg==, tableContent=null), ArticleFig(id=1320882370404799083, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=CN, label=图5, caption=
NC和微胶囊的FT-IR光谱注:EBP:桉树漂白木浆;NC:纳米纤维素;SA:海藻酸钠;S-MC:海藻酸钠微胶囊;N-MC:纳米纤维素海藻酸钠微胶囊;图6~图10同。
, figureFileSmall=yZCfx1zFeg7zNhkhB2Kf+g==, figureFileBig=VwMOeV9bkmCR4oy3D8alJg==, tableContent=null), ArticleFig(id=1320882370463519340, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=EN, label=Fig.6, caption=
XRD spectra of NC and microcapsule, figureFileSmall=3z+IEwehloTCwuKRRyv78A==, figureFileBig=5F1e3mQTLVSnUI5gqbmblA==, tableContent=null), ArticleFig(id=1320882370526433901, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=CN, label=图6, caption=
NC和微胶囊的XRD光谱, figureFileSmall=3z+IEwehloTCwuKRRyv78A==, figureFileBig=5F1e3mQTLVSnUI5gqbmblA==, tableContent=null), ArticleFig(id=1320882370589348462, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=EN, label=Fig.7, caption=
TG images of NC and microcapsules, figureFileSmall=IkXaJgG5+nEYV7qtN6jbnw==, figureFileBig=Yb/DFCPW60wdVvNyQo1IxQ==, tableContent=null), ArticleFig(id=1320882370664845935, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=CN, label=图7, caption=
NC和微胶囊的TG图像, figureFileSmall=IkXaJgG5+nEYV7qtN6jbnw==, figureFileBig=Yb/DFCPW60wdVvNyQo1IxQ==, tableContent=null), ArticleFig(id=1320882370786480752, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=EN, label=Fig.8, caption=
Bacterial count of free and encapsulated Bacillus subtilis in simulated gastric juice, figureFileSmall=3gBplLX8gqTE33J6gcaK7A==, figureFileBig=nuS6BVygFMOMDUhjSaVcJg==, tableContent=null), ArticleFig(id=1320882370857783921, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=CN, label=图8, caption=
游离的和包封的枯草芽孢杆菌在模拟胃液中的活菌数, figureFileSmall=3gBplLX8gqTE33J6gcaK7A==, figureFileBig=nuS6BVygFMOMDUhjSaVcJg==, tableContent=null), ArticleFig(id=1320882370958447218, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=EN, label=Fig.9, caption=
Bacterial count of encapsulated Bacillus subtilis in simulated intestinal fluid, figureFileSmall=VSsZbsFih/fcsnzE4yHMfA==, figureFileBig=4ViVB0jLM8xWg1h1gBypWg==, tableContent=null), ArticleFig(id=1320882371050721907, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=CN, label=图9, caption=
包封的枯草芽孢杆菌在模拟肠液中的活菌数, figureFileSmall=VSsZbsFih/fcsnzE4yHMfA==, figureFileBig=4ViVB0jLM8xWg1h1gBypWg==, tableContent=null), ArticleFig(id=1320882371126219380, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=EN, label=Fig.10, caption=
Storage stability of free and encapsulated Bacillus subtilis at 4 ℃ within 28 days, figureFileSmall=sqed4k+PBsLzAxem2AIcXg==, figureFileBig=PTA5tHW7Om/IB/qi4ckvWw==, tableContent=null), ArticleFig(id=1320882371205911157, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=CN, label=图10, caption=
游离的和包封的枯草芽孢杆菌在4 ℃下28 d内的储藏稳定性注:不同大写字母表示不同微胶囊之间有显著差异(P<0.05),不同小写字母表示不同储藏时间之间有显著差异(P<0.05)。
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Factors and levels of response surface experiments
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| 因素 | 水平 |
|---|
| −1 | 0 | 1 |
|---|
| A SA质量分数(%) | 1.5 | 2 | 2.5 |
| B 搅拌速度(r/min) | 400 | 600 | 800 |
| C 水油体积比(v/v) | 1:2 | 1:3 | 1:4 |
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响应面试验因素水平
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| 因素 | 水平 |
|---|
| −1 | 0 | 1 |
|---|
| A SA质量分数(%) | 1.5 | 2 | 2.5 |
| B 搅拌速度(r/min) | 400 | 600 | 800 |
| C 水油体积比(v/v) | 1:2 | 1:3 | 1:4 |
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Design and results of response surface experiments
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| 试验号 | A SA质量分数 | B 搅拌速度 | C 水油体积比 | 包埋率(%) |
|---|
| 1 | −1 | −1 | 0 | 73.9 |
| 2 | 1 | −1 | 0 | 72.0 |
| 3 | −1 | 1 | 0 | 74.7 |
| 4 | 1 | 1 | 0 | 73.6 |
| 5 | −1 | 0 | −1 | 77.5 |
| 6 | 1 | 0 | −1 | 76.4 |
| 7 | −1 | 0 | 1 | 76.7 |
| 8 | 1 | 0 | 1 | 74.2 |
| 9 | 0 | −1 | −1 | 73.5 |
| 10 | 0 | 1 | −1 | 75.3 |
| 11 | 0 | −1 | 1 | 72.6 |
| 12 | 0 | 1 | 1 | 73.9 |
| 13 | 0 | 0 | 0 | 85.3 |
| 14 | 0 | 0 | 0 | 84.8 |
| 15 | 0 | 0 | 0 | 85.2 |
| 16 | 0 | 0 | 0 | 85.6 |
| 17 | 0 | 0 | 0 | 84.9 |
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响应面试验方案及结果
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| 试验号 | A SA质量分数 | B 搅拌速度 | C 水油体积比 | 包埋率(%) |
|---|
| 1 | −1 | −1 | 0 | 73.9 |
| 2 | 1 | −1 | 0 | 72.0 |
| 3 | −1 | 1 | 0 | 74.7 |
| 4 | 1 | 1 | 0 | 73.6 |
| 5 | −1 | 0 | −1 | 77.5 |
| 6 | 1 | 0 | −1 | 76.4 |
| 7 | −1 | 0 | 1 | 76.7 |
| 8 | 1 | 0 | 1 | 74.2 |
| 9 | 0 | −1 | −1 | 73.5 |
| 10 | 0 | 1 | −1 | 75.3 |
| 11 | 0 | −1 | 1 | 72.6 |
| 12 | 0 | 1 | 1 | 73.9 |
| 13 | 0 | 0 | 0 | 85.3 |
| 14 | 0 | 0 | 0 | 84.8 |
| 15 | 0 | 0 | 0 | 85.2 |
| 16 | 0 | 0 | 0 | 85.6 |
| 17 | 0 | 0 | 0 | 84.9 |
), ArticleFig(id=1320882371696644730, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=EN, label=Table 3, caption=
Results of the variance analysis for the regression model
, figureFileSmall=null, figureFileBig=null, tableContent=
| 来源 | 平方和 | 自由度 | 均值 | F值 | P值 | 显著性 |
|---|
| 模型 | 429.62 | 9 | 47.74 | 576.62 | <0.0001 | ** |
| A | 5.44 | 1 | 5.44 | 65.77 | <0.0001 | ** |
| B | 3.78 | 1 | 3.78 | 45.68 | 0.0003 | ** |
| C | 3.51 | 1 | 3.51 | 42.41 | 0.0003 | ** |
| AB | 0.1600 | 1 | 0.1600 | 1.93 | 0.2071 | |
| AC | 0.4900 | 1 | 0.4900 | 5.92 | 0.0452 | * |
| BC | 0.0625 | 1 | 0.0625 | 0.7550 | 0.4137 | |
| A2 | 89.77 | 1 | 89.77 | 1084.41 | <0.0001 | ** |
| B2 | 205.87 | 1 | 205.87 | 2486.83 | <0.0001 | ** |
| C2 | 79.40 | 1 | 79.40 | 959.09 | <0.0001 | ** |
| 残差 | 0.5795 | 7 | 0.0828 | | | |
| 失拟项 | 0.1675 | 3 | 0.0558 | 0.5421 | 0.6789 | |
| 纯误差 | 0.4120 | 4 | 0.1030 | | | |
| 总误差 | 430.20 | 16 | | | | |
), ArticleFig(id=1320882371776336507, tenantId=1146029695717560320, journalId=1260987677001138203, articleId=1320882361462542885, language=CN, label=表3, caption=
回归模型方差分析结果
, figureFileSmall=null, figureFileBig=null, tableContent=
| 来源 | 平方和 | 自由度 | 均值 | F值 | P值 | 显著性 |
|---|
| 模型 | 429.62 | 9 | 47.74 | 576.62 | <0.0001 | ** |
| A | 5.44 | 1 | 5.44 | 65.77 | <0.0001 | ** |
| B | 3.78 | 1 | 3.78 | 45.68 | 0.0003 | ** |
| C | 3.51 | 1 | 3.51 | 42.41 | 0.0003 | ** |
| AB | 0.1600 | 1 | 0.1600 | 1.93 | 0.2071 | |
| AC | 0.4900 | 1 | 0.4900 | 5.92 | 0.0452 | * |
| BC | 0.0625 | 1 | 0.0625 | 0.7550 | 0.4137 | |
| A2 | 89.77 | 1 | 89.77 | 1084.41 | <0.0001 | ** |
| B2 | 205.87 | 1 | 205.87 | 2486.83 | <0.0001 | ** |
| C2 | 79.40 | 1 | 79.40 | 959.09 | <0.0001 | ** |
| 残差 | 0.5795 | 7 | 0.0828 | | | |
| 失拟项 | 0.1675 | 3 | 0.0558 | 0.5421 | 0.6789 | |
| 纯误差 | 0.4120 | 4 | 0.1030 | | | |
| 总误差 | 430.20 | 16 | | | | |
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