The progeny production from a single Myzus persicae was dependent on aphid density on Arabidopsis thaliana’s foliage | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article The progeny production from a single Myzus persicae was dependent on aphid density on Arabidopsis thaliana’s foliage Hossain Ali Mondal, Bablu Paul, Farzana Ahmad, Albina Gurung, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3963362/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract A rapid colony formation on crop foliage is a highly relevant issue on agricultural and horticultural yield loss. Arabidopsis thaliana - Myzus persicae interaction model was explored for monitoring of the progeny production from a single aphid from an elevated level of an initial aphid densities like five, ten and twenty aphids’ release. The hypothesis was that each aphid contributed an equal number of progenies from every inoculum. The progeny production per aphid is also linked to host resistance and inversely corelated. To test this hypothesis, three different aphids’ density like five, ten and twenty adult aphids were inoculated with six biological replications on Arabidopsis thaliana foliage to monitor progeny proliferation from a single aphid in temporal scale like 0-, 12-, 24-, 36-, 60- and 108-hours’ time points after release. From the result, it was found that progeny contribution from a single aphid was dependent on aphid density on foliage. Another parameter, the marginal progeny production from a single aphid was also aphid density dependent. Thus, host resistance response was dependent on aphid density. In another perspective, aphids on host foliage were not independent, rather they communicated to each other through vascular sap. Therefore, the aphid density mediated herbivore on vascular sap was ‘footprinted’ in a density dependent manner and may be treated as molecular language among aphids. Arabidopsis thaliana Myzus persicae Aphid density Progeny proliferation Figures Figure 1 Figure 2 Significant statement The progeny proliferation from a single aphid and the marginal progeny production from a single aphid on Arabidopsis foliage were evidenced in aphid density manner. The vascular sap was footprinted accordingly in a density dependent manner and footprinted vascular sap may be molecular language for communication among aphids for higher proliferation. Introduction The plant-aphid interaction biology is a highly relevant research issue as aphids cause a huge agricultural and horticultural yield loss. For example, Lipaphis erysimi reduces yield loss up to 91.3% in Brassica [ 1 ]. Moreover, aphids secrete ‘effectors’ molecules that manipulate host cell structure and function [ 2 , 3 ]. A slender and long stylet is evolved for siphoning sucrose enriched vascular sap without any major damage in the host tissue. On the susceptible host foliage, a quick establishment of an aphid colony is a major threat to agriculture and horticulture. Presently, insecticide mediated aphid control is a major threat for developing insecticide resistance among aphid population and imbalances the ecology in every aspect. During establishment of an aphid colony, every aphid contributes progeny proliferation on host foliage. The established colony formation from different aphid inoculum, whether each aphid contributed an equal number of progenies is not known. The progeny proliferation from a single aphid is also linked to host resistance. Therefore, the present hypothesis is being formulated to measure progeny proliferation from a single aphid from an elevated aphid density like five, ten and twenty aphids on foliage in temporal scale. If an individual aphid is independent of host foliage, a single aphid from all aphid density will contribute equally towards progeny production for developing colonies. To test the hypothesis, progeny proliferation from a single aphid and marginal progeny proliferation from a single aphid were considered and compared among three aphid density mediated progeny proliferation on Arabidopsis thaliana foliage in temporal scale. Moreover, aphid herbivore vascular sap was also collected and probed through absorbance signature. In the present study, Myzus persicae (Kingdom: Animalia , Family: Aphididae , Order: Hemiptera) and Arabidopsis thaliana (CS70000) were used. Five, ten and twenty adults Myzus persicae were released randomly on 24 days old foliage. The total progeny proliferation from a single aphid= (total aphid number at a particular time point - total number of aphid released)/total number of aphids released. The marginal aphid proliferation from a single aphid= (total aphid number at a particular time point - total aphid number in previous time point)/total number of aphids released. One-way ANOVA and Tukey's HSD Calculator was used for calculation ( https://www.icalcu.com/stat/anova-tukey-hsd-calculator.html ). Five, ten and twenty Myzus persicae adults were released on Arabidopsis foliage randomly to monitor the total aphid proliferation in temporal scale like 12-, 24-, 36-, 60- and 108-hours’ time point. The progeny proliferation from a single aphid in temporal scale was calculated. The result showed that only 5 and 20 aphids’ density evidenced a significant progeny proliferation from a single aphid at 24h (Table 1) whereas the earliest progeny proliferation from a single aphid from 10 aphids’ inoculum was recorded at 108h time point. This result signified that the induction of host resistance was dependent on aphid density. The highest resistance was evidenced in 10 aphids’ density. The marginal progeny proliferation from a single aphid was also significant at 24h both in 5 and 20 aphids’ density (Table 1). Interestingly, no significant marginal progeny proliferation from a single aphid was evidenced up to 108h time point in 10 aphids’ release. Table. 1. Progeny proliferation from a single aphid among the density of 5, 10 and 20 aphids. The comparison of the marginal aphid proliferation from a single aphid in five aphids’ density was significantly higher as compared to ten aphids’ density (Fig. 1 . a). The marginal aphid proliferation from a single aphid in five aphids’ density was also significant as compared to ten and twenty aphids’ density (Fig. 1 .b). Taken together, the result indicated that aphid progeny proliferation from a single aphid is dependent on aphid density. The aphid herbivore vascular sap was isolated in 1mM EDTA, pH 8.0 for 6h. The exudated vascular sap was considered for absorbance from 190 nm to 300 nm range. The differential absorption signature was reflected in vascular sap herbivores with 5, 10 and 20 aphids’ density (Fig. 2 ). The similar pattern of absorbance was evidenced in 5 and 20 aphids’ herbivore vascular sap whereas 10 aphids’ herbivore vascular sap showed different type of absorbance signature which was correlated with non-significant progeny contribution from a single aphid. The more progeny proliferation from a single aphid is also correlated with host resistance. The present result indicated that progeny proliferation from a single aphid is density dependent, thus host resistance induction was also aphid density dependent. A variable number of aphid inoculums ranging from one to fifty aphids reported to release on a single host foliage for evaluating host resistance and total aphid counts were measured in different time points [ 4 , 5 , 6 , 7 , 8 , 9 ]. From the present finding, an initial aphid release should not be random and arbitrary in nature as different aphid release showed progeny proliferation from a single aphid is not equal, rather it was density dependent. Moreover, the present finding also nullified the hypothesis of an equal progeny proliferation from a single aphid as it was dependent on an aphid density. Considering all results, it was evidenced that aphid on host foliage was not independent for progeny proliferation. The density dependent progeny proliferation from a single aphid indicated that aphids may communicate to each other through host vascular sap as all aphids interacted through a long and slender stylet to the vascular sap where molecules are mobile in nature. Thus, there is a possibility of interaction among aphids through vascular sap through aphid saliva interacted sap. The more progeny proliferation from a single aphid and marginal aphid proliferation from a single aphid was also corelated with a unique type of absorbance signature. The specific vascular footprint may be snapshot of molecular language for aphid communication to each other. Moreover, progeny proliferation from a single aphid and marginal aphid proliferation from a single aphid may be treated as novel parameters to evaluate host resistance or susceptibility. In summary, an aphid density was a modulating factor for progeny proliferation as well as marginal progeny contribution from a single aphid. Therefore, these two parameters may be explored to identify the host susceptibility/resistance phase of the host plant for further plant-aphid interaction study for precise addressing of host susceptibility/resistance factors. Declarations Acknowledgement: The communicating author (Hossain Ali Mondal) acknowledged sincerely to Science and Engineering Research Board (SERB), India for financial support (Grant Number: CRG/2019/004764). Compliance with ethical standards (e.g., Conflict of interest): The communicating author (Hossain Ali Mondal) declared that there is no conflict of interest. Author contribution : Hossain Ali Mondal wrote the main manuscript and prepared figure. Bablu Paul, Farzana Ahmad, Albina Gurung, and Moumita Mallick involved in experiments. Data availability statement: No, I do not have any research data outside the submitted manuscript file. Funding declaration : The work was funded by Science and Engineering Research Board (SERB), India (Grant Number: CRG/2019/004764). References Singh CP, Sacha GC (1994) Assessment of yield losses in yellow sarson due to mustard aphid, Lipaphis erysimi (Kaltenbach.). J. of Oilseeds Res., 11: 179–184. Mondal HA (2017) Shaping the Understanding of Saliva-derived Effectors Towards Aphid Colony Proliferation in Host Plant. J. Plant Biol. 60: 103–115. DOI 10.1007/s12374-016-0465-x . Mondal HA (2020) Aphid saliva: a powerful recipe for modulating host resistance towards aphid clonal propagation. Arthropod-Plant Interactions 14: 547–558. https://doi.org/10.1007/s11829-020-09769-2 . Mondal HA, Paul B, Gurung A, Mallick M (2021) Factors involved in enhancing host susceptibility towards aphid clonal propagation on leaf foliage of Arabidopsis . Current Science, Vol. 121, No. 8: 1080–1089. Chakraborti D, Sarkar A, Mondal HA, Schuermann D, Hohn B, Sarmah BK, Das S (2008) Cre/lox system to develop selectable marker free transgenic tobacco plants conferring resistance against sap sucking homopteran insects. Plant Cell Reports, 27: 1623–1633. Chakraborti D, Sarkar A, Mondal HA, Das S (2009) Tissue specific expression of Allium sativum leaf agglutinin (ASAL) in important pulse crop chickpea ( Cicer arietinum L.) to resist the phloem feeding Aphis craccivora , Trans. Res. 18: 529–544. Louis J, Gobbato E, Mondal HA, Feys BJ, Parker JE, Shah J (2012) Discrimination of Arabidopsis PAD4 activities in defense against green peach aphid and pathogens. Plant Physiol. 158: 1860–1872. Mondal HA, Roy A, Gupta S, Das S (2012) Exploring the Insecticidal Potentiality of Amorphophallus paeonifolius Tuber Agglutinin in Hemipteran Pest Management, American Journal of Plant Sciences, Vol. 3 No. 6, pp. 780–790. doi: 10.4236/ajps.2012.36094 . Mondal HA, Louis J, Archer L, Patel M, Nalam VJ, Sarowar S, Sivapalan V, Root DD, Shah J (2018) Arabidopsis thaliana ACTIN DEPOLYMERIZING FACTOR 3 gene is required for controlling green peach aphid feeding from sieve elements. Plant Physiol 176: 879–890. https://doi.org/10.1104/pp.17.01438 . Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-3963362","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":276668776,"identity":"13cb684d-b920-45d7-8463-fb99398fbc41","order_by":0,"name":"Hossain Ali Mondal","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/0lEQVRIiWNgGAWjYJACCYYCBEcORBx4QFCLAYJjDNaSQIqWxAYQiU+LbnvvwRs/DBjkzfmXP2D4UXM4fX7Y4YdAW+zkdBuwazE7cy7ZsseAwXDnjDcGjD3HDuduvJ1mANSSbGx2AIeWGzlmEjwGDAkGN84wMDOwAbXMTgBpOZC4DY8WyT9gLccfMDP8O5xuODv9A0Et0mBbzjcYMDO2HU6Ql84hYMuZM8bWMgYSQL/wGBzs7Us33CCdU3AgwQCPX473GN58U2EDDLHjDx/8+GYtLz87ffOHDxV2cri0QAEwaiSAjgExDSAkXuUQYMAPNVS+gQjVo2AUjIJRMKIAAI8fYabB2ZJfAAAAAElFTkSuQmCC","orcid":"","institution":"Central Agricultural University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Hossain","middleName":"Ali","lastName":"Mondal","suffix":""},{"id":276668780,"identity":"dc3560b4-a567-4cd4-9642-3a439955e582","order_by":1,"name":"Bablu Paul","email":"","orcid":"","institution":"North Bengal Agricultural University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Bablu","middleName":"","lastName":"Paul","suffix":""},{"id":276668782,"identity":"b8581d1e-6cc6-48ba-91e4-b20f34e8eefb","order_by":2,"name":"Farzana Ahmad","email":"","orcid":"","institution":"Central Agricultural University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Farzana","middleName":"","lastName":"Ahmad","suffix":""},{"id":276668783,"identity":"d19bd189-762e-4903-91da-2ba74035c8b4","order_by":3,"name":"Albina Gurung","email":"","orcid":"","institution":"North Bengal Agricultural University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Albina","middleName":"","lastName":"Gurung","suffix":""},{"id":276668784,"identity":"8c7112e1-55f7-4c3d-8add-92eef59c4ede","order_by":4,"name":"Moumita Mallick","email":"","orcid":"","institution":"North Bengal Agricultural University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Moumita","middleName":"","lastName":"Mallick","suffix":""}],"badges":[],"createdAt":"2024-02-17 07:03:36","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3963362/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3963362/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":52254764,"identity":"77472bf8-1486-4e43-800b-126ffdff6088","added_by":"auto","created_at":"2024-03-08 10:05:12","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":57535,"visible":true,"origin":"","legend":"\u003cp\u003ea. Comparison of progeny proliferation from a single aphid among aphids’ density of 5, 10 and 20 numbers in temporal scale. \u0026nbsp;Fig. 1.b. The marginal aphid proliferation from a single plant was compared among aphids’ density of 5, 10 and 20 numbers in temporal scale.\u003c/p\u003e","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-3963362/v1/2d32176b166a421904778f2d.png"},{"id":52254763,"identity":"96451d86-b42e-4b25-bfcc-488ceafbea24","added_by":"auto","created_at":"2024-03-08 10:05:12","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":30191,"visible":true,"origin":"","legend":"\u003cp\u003eThe absorbance signature of 24h aphid herbivore vascular sap herbivore by the density of 5, 10 and 20 aphids.\u003c/p\u003e","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-3963362/v1/5b1a1bae5b8c68c09c61cfd8.png"},{"id":53316160,"identity":"5f44b661-ae83-4802-95a7-7576dfeb0206","added_by":"auto","created_at":"2024-03-23 18:39:26","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":299887,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3963362/v1/2b4b6a01-2732-4589-924b-292aad751818.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"The progeny production from a single Myzus persicae was dependent on aphid density on Arabidopsis thaliana’s foliage","fulltext":[{"header":"Significant statement","content":"\u003cp\u003eThe progeny proliferation from a single aphid and the marginal progeny production from a single aphid\u0026nbsp;on \u003cem\u003eArabidopsis\u003c/em\u003e foliage were evidenced in aphid density manner. The vascular sap was footprinted accordingly in a density dependent manner and footprinted vascular sap may be molecular language for communication among aphids for higher proliferation. \u0026nbsp;\u003c/p\u003e"},{"header":"Introduction","content":" \u003cp\u003eThe plant-aphid interaction biology is a highly relevant research issue as aphids cause a huge agricultural and horticultural yield loss. For example, \u003cem\u003eLipaphis erysimi\u003c/em\u003e reduces yield loss up to 91.3% in \u003cem\u003eBrassica\u003c/em\u003e [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e]. Moreover, aphids secrete \u0026lsquo;effectors\u0026rsquo; molecules that manipulate host cell structure and function [\u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e, \u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e]. A slender and long stylet is evolved for siphoning sucrose enriched vascular sap without any major damage in the host tissue. On the susceptible host foliage, a quick establishment of an aphid colony is a major threat to agriculture and horticulture. Presently, insecticide mediated aphid control is a major threat for developing insecticide resistance among aphid population and imbalances the ecology in every aspect. During establishment of an aphid colony, every aphid contributes progeny proliferation on host foliage. The established colony formation from different aphid inoculum, whether each aphid contributed an equal number of progenies is not known. The progeny proliferation from a single aphid is also linked to host resistance. Therefore, the present hypothesis is being formulated to measure progeny proliferation from a single aphid from an elevated aphid density like five, ten and twenty aphids on foliage in temporal scale. If an individual aphid is independent of host foliage, a single aphid from all aphid density will contribute equally towards progeny production for developing colonies. To test the hypothesis, progeny proliferation from a single aphid and marginal progeny proliferation from a single aphid were considered and compared among three aphid density mediated progeny proliferation on \u003cem\u003eArabidopsis thaliana\u003c/em\u003e foliage in temporal scale. Moreover, aphid herbivore vascular sap was also collected and probed through absorbance signature.\u003c/p\u003e \u003cp\u003eIn the present study, \u003cem\u003eMyzus persicae\u003c/em\u003e (Kingdom: \u003cem\u003eAnimalia\u003c/em\u003e, Family: \u003cem\u003eAphididae\u003c/em\u003e, Order: Hemiptera) and \u003cem\u003eArabidopsis thaliana\u003c/em\u003e (CS70000) were used. Five, ten and twenty adults \u003cem\u003eMyzus persicae\u003c/em\u003e were released randomly on 24 days old foliage. The total progeny proliferation from a single aphid= (total aphid number at a particular time point - total number of aphid released)/total number of aphids released. The marginal aphid proliferation from a single aphid= (total aphid number at a particular time point - total aphid number in previous time point)/total number of aphids released. One-way ANOVA and Tukey's HSD Calculator was used for calculation (\u003cspan class=\"ExternalRef\"\u003e\u003cspan class=\"RefSource\"\u003ehttps://www.icalcu.com/stat/anova-tukey-hsd-calculator.html\u003c/span\u003e\u003cspan address=\"https://www.icalcu.com/stat/anova-tukey-hsd-calculator.html\" targettype=\"URL\" class=\"RefTarget\"\u003e\u003c/span\u003e\u003c/span\u003e).\u003c/p\u003e \u003cp\u003eFive, ten and twenty \u003cem\u003eMyzus persicae\u003c/em\u003e adults were released on \u003cem\u003eArabidopsis\u003c/em\u003e foliage randomly to monitor the total aphid proliferation in temporal scale like 12-, 24-, 36-, 60- and 108-hours\u0026rsquo; time point. The progeny proliferation from a single aphid in temporal scale was calculated. The result showed that only 5 and 20 aphids\u0026rsquo; density evidenced a significant progeny proliferation from a single aphid at 24h (Table\u0026nbsp;1) whereas the earliest progeny proliferation from a single aphid from 10 aphids\u0026rsquo; inoculum was recorded at 108h time point. This result signified that the induction of host resistance was dependent on aphid density. The highest resistance was evidenced in 10 aphids\u0026rsquo; density. The marginal progeny proliferation from a single aphid was also significant at 24h both in 5 and 20 aphids\u0026rsquo; density (Table\u0026nbsp;1). Interestingly, no significant marginal progeny proliferation from a single aphid was evidenced up to 108h time point in 10 aphids\u0026rsquo; release.\u003c/p\u003e \u003cp\u003eTable. 1. Progeny proliferation from a single aphid among the density of 5, 10 and 20 aphids.\u003c/p\u003e \u003cp\u003e\u003cimg 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\" width=\"543\" height=\"321\"\u003e\u003cbr\u003e\u003c/p\u003e \u003cp\u003eThe comparison of the marginal aphid proliferation from a single aphid in five aphids\u0026rsquo; density was significantly higher as compared to ten aphids\u0026rsquo; density (Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003e. a). The marginal aphid proliferation from a single aphid in five aphids\u0026rsquo; density was also significant as compared to ten and twenty aphids\u0026rsquo; density (Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003e.b). Taken together, the result indicated that aphid progeny proliferation from a single aphid is dependent on aphid density.\u003c/p\u003e \u003cp\u003eThe aphid herbivore vascular sap was isolated in 1mM EDTA, pH 8.0 for 6h. The exudated vascular sap was considered for absorbance from 190 nm to 300 nm range. The differential absorption signature was reflected in vascular sap herbivores with 5, 10 and 20 aphids\u0026rsquo; density (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e). The similar pattern of absorbance was evidenced in 5 and 20 aphids\u0026rsquo; herbivore vascular sap whereas 10 aphids\u0026rsquo; herbivore vascular sap showed different type of absorbance signature which was correlated with non-significant progeny contribution from a single aphid.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eThe more progeny proliferation from a single aphid is also correlated with host resistance. The present result indicated that progeny proliferation from a single aphid is density dependent, thus host resistance induction was also aphid density dependent. A variable number of aphid inoculums ranging from one to fifty aphids reported to release on a single host foliage for evaluating host resistance and total aphid counts were measured in different time points [\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e, \u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e, \u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e, \u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e, \u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e, \u003cspan citationid=\"CR9\" class=\"CitationRef\"\u003e9\u003c/span\u003e]. From the present finding, an initial aphid release should not be random and arbitrary in nature as different aphid release showed progeny proliferation from a single aphid is not equal, rather it was density dependent. Moreover, the present finding also nullified the hypothesis of an equal progeny proliferation from a single aphid as it was dependent on an aphid density. Considering all results, it was evidenced that aphid on host foliage was not independent for progeny proliferation. The density dependent progeny proliferation from a single aphid indicated that aphids may communicate to each other through host vascular sap as all aphids interacted through a long and slender stylet to the vascular sap where molecules are mobile in nature. Thus, there is a possibility of interaction among aphids through vascular sap through aphid saliva interacted sap. The more progeny proliferation from a single aphid and marginal aphid proliferation from a single aphid was also corelated with a unique type of absorbance signature. The specific vascular footprint may be snapshot of molecular language for aphid communication to each other. Moreover, progeny proliferation from a single aphid and marginal aphid proliferation from a single aphid may be treated as novel parameters to evaluate host resistance or susceptibility. In summary, an aphid density was a modulating factor for progeny proliferation as well as marginal progeny contribution from a single aphid. Therefore, these two parameters may be explored to identify the host susceptibility/resistance phase of the host plant for further plant-aphid interaction study for precise addressing of host susceptibility/resistance factors.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003e\u003cstrong\u003eAcknowledgement:\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe communicating author (Hossain Ali Mondal) acknowledged sincerely to Science and Engineering Research Board (SERB), India for financial support (Grant Number: CRG/2019/004764).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eCompliance with ethical standards (e.g., Conflict of interest):\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe communicating author (Hossain Ali Mondal) declared that there is no conflict of interest.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor contribution\u003c/strong\u003e:\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eHossain Ali Mondal\u0026nbsp;wrote the main manuscript and prepared figure. Bablu Paul, Farzana Ahmad, Albina Gurung, and Moumita Mallick involved in experiments. \u0026nbsp;\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eData availability statement:\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eNo, I do not have any research data outside the submitted manuscript file.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eFunding\u003c/strong\u003e \u003cstrong\u003edeclaration\u003c/strong\u003e:\u003c/p\u003e\n\u003cp\u003eThe work was funded by Science and Engineering Research Board (SERB), India (Grant Number: CRG/2019/004764).\u0026nbsp;\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\u003cli\u003e\u003cspan\u003eSingh CP, Sacha GC (1994) Assessment of yield losses in yellow sarson due to mustard aphid, \u003cem\u003eLipaphis erysimi\u003c/em\u003e (Kaltenbach.). J. of Oilseeds Res., 11: 179\u0026ndash;184.\u003c/span\u003e\u003c/li\u003e \u003cli\u003e\u003cspan\u003eMondal HA (2017) Shaping the Understanding of Saliva-derived Effectors Towards Aphid Colony Proliferation in Host Plant. J. Plant Biol. 60: 103\u0026ndash;115. DOI \u003cspan class=\"ExternalRef\"\u003e\u003cspan class=\"RefSource\"\u003e10.1007/s12374-016-0465-x\u003c/span\u003e\u003cspan address=\"10.1007/s12374-016-0465-x\" targettype=\"DOI\" class=\"RefTarget\"\u003e\u003c/span\u003e\u003c/span\u003e.\u003c/span\u003e\u003c/li\u003e \u003cli\u003e\u003cspan\u003eMondal HA (2020) Aphid saliva: a powerful recipe for modulating host resistance towards aphid clonal propagation. Arthropod-Plant Interactions 14: 547\u0026ndash;558. \u003cspan class=\"ExternalRef\"\u003e\u003cspan class=\"RefSource\"\u003ehttps://doi.org/10.1007/s11829-020-09769-2\u003c/span\u003e\u003cspan address=\"10.1007/s11829-020-09769-2\" targettype=\"DOI\" class=\"RefTarget\"\u003e\u003c/span\u003e\u003c/span\u003e.\u003c/span\u003e\u003c/li\u003e \u003cli\u003e\u003cspan\u003eMondal HA, Paul B, Gurung A, Mallick M (2021) Factors involved in enhancing host susceptibility towards aphid clonal propagation on leaf foliage of \u003cem\u003eArabidopsis\u003c/em\u003e. Current Science, Vol. 121, No. 8: 1080\u0026ndash;1089.\u003c/span\u003e\u003c/li\u003e \u003cli\u003e\u003cspan\u003eChakraborti D, Sarkar A, Mondal HA, Schuermann D, Hohn B, Sarmah BK, Das S (2008) Cre/lox system to develop selectable marker free transgenic tobacco plants conferring resistance against sap sucking homopteran insects. Plant Cell Reports, 27: 1623\u0026ndash;1633.\u003c/span\u003e\u003c/li\u003e \u003cli\u003e\u003cspan\u003eChakraborti D, Sarkar A, Mondal HA, Das S (2009) Tissue specific expression of \u003cem\u003eAllium sativum\u003c/em\u003e leaf agglutinin (ASAL) in important pulse crop chickpea (\u003cem\u003eCicer arietinum\u003c/em\u003e L.) to resist the phloem feeding \u003cem\u003eAphis craccivora\u003c/em\u003e, Trans. Res. 18: 529\u0026ndash;544.\u003c/span\u003e\u003c/li\u003e \u003cli\u003e\u003cspan\u003eLouis J, Gobbato E, Mondal HA, Feys BJ, Parker JE, Shah J (2012) Discrimination of Arabidopsis \u003cem\u003ePAD4\u003c/em\u003e activities in defense against green peach aphid and pathogens. Plant Physiol. 158: 1860\u0026ndash;1872.\u003c/span\u003e\u003c/li\u003e \u003cli\u003e\u003cspan\u003eMondal HA, Roy A, Gupta S, Das S (2012) Exploring the Insecticidal Potentiality of \u003cem\u003eAmorphophallus paeonifolius\u003c/em\u003e Tuber Agglutinin in Hemipteran Pest Management, American Journal of Plant Sciences, Vol. 3 No. 6, pp. 780\u0026ndash;790. doi: \u003cspan class=\"ExternalRef\"\u003e\u003cspan class=\"RefSource\"\u003e10.4236/ajps.2012.36094\u003c/span\u003e\u003cspan address=\"10.4236/ajps.2012.36094\" targettype=\"DOI\" class=\"RefTarget\"\u003e\u003c/span\u003e\u003c/span\u003e.\u003c/span\u003e\u003c/li\u003e \u003cli\u003e\u003cspan\u003eMondal HA, Louis J, Archer L, Patel M, Nalam VJ, Sarowar S, Sivapalan V, Root DD, Shah J (2018) \u003cem\u003eArabidopsis thaliana ACTIN DEPOLYMERIZING FACTOR 3\u003c/em\u003e gene is required for controlling green peach aphid feeding from sieve elements. Plant Physiol 176: 879\u0026ndash;890. \u003cspan class=\"ExternalRef\"\u003e\u003cspan class=\"RefSource\"\u003ehttps://doi.org/10.1104/pp.17.01438\u003c/span\u003e\u003cspan address=\"10.1104/pp.17.01438\" targettype=\"DOI\" class=\"RefTarget\"\u003e\u003c/span\u003e\u003c/span\u003e.\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Arabidopsis thaliana, Myzus persicae, Aphid density, Progeny proliferation","lastPublishedDoi":"10.21203/rs.3.rs-3963362/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3963362/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eA rapid colony formation on crop foliage is a highly relevant issue on agricultural and horticultural yield loss. \u003cem\u003eArabidopsis thaliana\u003c/em\u003e-\u003cem\u003eMyzus persicae\u003c/em\u003e interaction model was explored for monitoring of the progeny production from a single aphid from an elevated level of an initial aphid densities like five, ten and twenty aphids’ release. The hypothesis was that each aphid contributed an equal number of progenies from every inoculum. The progeny production per aphid is also linked to host resistance and inversely corelated. To test this hypothesis, three different aphids’ density like five, ten and twenty adult aphids were inoculated with six biological replications on \u003cem\u003eArabidopsis thaliana\u003c/em\u003e foliage to monitor progeny proliferation from a single aphid in temporal scale like 0-, 12-, 24-, 36-, 60- and 108-hours’ time points after release. From the result, it was found that progeny contribution from a single aphid was dependent on aphid density on foliage. Another parameter, the marginal progeny production from a single aphid was also aphid density dependent. Thus, host resistance response was dependent on aphid density. In another perspective, aphids on host foliage were not independent, rather they communicated to each other through vascular sap. Therefore, the aphid density mediated herbivore on vascular sap was ‘footprinted’ in a density dependent manner and may be treated as molecular language among aphids.\u003c/p\u003e","manuscriptTitle":"The progeny production from a single Myzus persicae was dependent on aphid density on Arabidopsis thaliana’s foliage","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-03-08 10:05:07","doi":"10.21203/rs.3.rs-3963362/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"2702141d-122d-4720-91b3-7a6790d205b1","owner":[],"postedDate":"March 8th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-03-23T18:31:20+00:00","versionOfRecord":[],"versionCreatedAt":"2024-03-08 10:05:07","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-3963362","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3963362","identity":"rs-3963362","version":["v1"]},"buildId":"7rjqhiLT3MXkJMwkYKINL","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
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