A Comprehensive Fuzzy Model for Understanding Neuronal Calcium Distribution in Presence of VGCC, Na + /Ca +2 Exchanger, Buffer, and ER Fluxes

A Comprehensive Fuzzy Model for Understanding Neuronal Calcium Distribution in Presence of VGCC, Na + /Ca +2 Exchanger, Buffer, and ER Fluxes | 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 A Comprehensive Fuzzy Model for Understanding Neuronal Calcium Distribution in Presence of VGCC, Na + /Ca +2 Exchanger, Buffer, and ER Fluxes Brajesh Kumar Jha, Rituparna Bhattacharyya This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4173714/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 8 You are reading this latest preprint version Abstract Free Calcium ions in the cytosol are essential for many physiological and physical functions. The free calcium ions are commonly regarded as a second messenger, are an essential part of brain communication. Numerous physiological activities, such as calcium buffering and calcium ion channel flow, etc. influence the cytosolic calcium concentration. In light of the above, the primary goal of this study is to develop a model of calcium distribution in neuron cells when a Voltage-Gated Calcium Channel and Sodium Calcium Exchanger are present. As we know, decreased buffer levels and increased calcium activity in the Voltage-Gated Calcium Channel and Sodium Calcium Exchanger lead to Alzheimer’s disease. Due to these changes, the calcium diffusion in that location becomes disrupted and impacted by Alzheimer’s disease. The model has been constructed by considering key factors like buffers and ER fluxes when Voltage-Gated Calcium Channels and Sodium Calcium Exchangers are present. Based on the physiological circumstances of the parameters, appropriate boundary conditions have been constructed in the fuzzy environment. This model is considered a fuzzy boundary value problem with the source term and initial boundary conditions are modeled by triangular fuzzy functions. In this, paper we observed the approximate solution of the mathematical model which was investigated by the fuzzy undetermined coefficient method. The solution has been performed through MATLAB and numerical results have been computed using simulation. The observation made that the proper operation of the Voltage-Gated Calcium Channel and Sodium Calcium Exchanger is critical for maintaining the delicate equilibrium of calcium ions, which regulates vital cellular activities. Dysregulation of Voltage-Gated Calcium Channel and Sodium Calcium Exchanger activity has been linked to neurodegenerative illnesses like Alzheimer’s disease. Calcium ions Buffers Endoplasmic Reticulum Voltage-Gated Calcium Channel Sodium Calcium Exchanger Fuzzy system Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 11 Apr, 2024 Reviews received at journal 05 Apr, 2024 Reviewers agreed at journal 27 Mar, 2024 Reviewers agreed at journal 27 Mar, 2024 Reviewers invited by journal 27 Mar, 2024 Editor assigned by journal 27 Mar, 2024 Submission checks completed at journal 27 Mar, 2024 First submitted to journal 27 Mar, 2024 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-4173714","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":285492376,"identity":"855c7735-fa20-4032-80c9-6182e1150fca","order_by":0,"name":"Brajesh Kumar Jha","email":"","orcid":"","institution":"Pandit Deendayal Energy University","correspondingAuthor":false,"prefix":"","firstName":"Brajesh","middleName":"Kumar","lastName":"Jha","suffix":""},{"id":285492377,"identity":"ea382115-54bc-4015-ad3c-fd4231e9e958","order_by":1,"name":"Rituparna Bhattacharyya","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABKElEQVRIie3RMUvDQBTA8QsH5/LSrFfSD3ESiEMLfpW7pV2kBAKdHG5Kp9o1LvoV7OZ4cpAspa6CIpaCc1w6iXrW1po2cRa8/xCOx/0IL0HIZvuL4e8TmDPpgFeeswqCS6TbakrkyF8JKhPdYapE9jsaepkfnT72Pelmi2iAIbjV+ZNz3e4zhecFih52SUtj4qdZHFPV6AXpjEB41xXSmfZipkhAEXveJRQbAoQLqSD03QQMgUPpJFpcKRSaXXQ1eePi8otQCMbTDTlY1hI34ebCijBg6GRDoO4tQfv8jIuJNrvAjAM1u6TC7NLUEFNeQbyb+X205OIiH2ULGLwfe2OtihfzxRr5cFIUr3vkM7x+ku1ISMRXc14Ftn/tB3Fk3WWbzWb7h30AQYllZa4oCG8AAAAASUVORK5CYII=","orcid":"","institution":"Pandit Deendayal Energy University","correspondingAuthor":true,"prefix":"","firstName":"Rituparna","middleName":"","lastName":"Bhattacharyya","suffix":""}],"badges":[],"createdAt":"2024-03-27 05:56:59","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4173714/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4173714/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":53830802,"identity":"a06ed442-d068-48a6-b51f-2531d95c838b","added_by":"auto","created_at":"2024-04-01 04:43:15","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":696036,"visible":true,"origin":"","legend":"","description":"","filename":"RituparnaBhattacharyya.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4173714/v1_covered_2d2dc7a6-963e-4d4f-a4d4-495eb401d2ed.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"A Comprehensive Fuzzy Model for Understanding Neuronal Calcium Distribution in Presence of VGCC, Na + /Ca +2 Exchanger, Buffer, and ER Fluxes","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"cell-biochemistry-and-biophysics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"cbbi","sideBox":"Learn more about [Cell Biochemistry and Biophysics](http://link.springer.com/journal/12013)","snPcode":"12013","submissionUrl":"https://submission.nature.com/new-submission/12013/3","title":"Cell Biochemistry and Biophysics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Calcium ions, Buffers, Endoplasmic Reticulum, Voltage-Gated Calcium Channel, Sodium Calcium Exchanger, Fuzzy system","lastPublishedDoi":"10.21203/rs.3.rs-4173714/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4173714/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eFree Calcium ions in the cytosol are essential for many physiological and physical functions. The free calcium ions are commonly regarded as a second messenger, are an essential part of brain communication. Numerous physiological activities, such as calcium buffering and calcium ion channel flow, etc. influence the cytosolic calcium concentration. In light of the above, the primary goal of this study is to develop a model of calcium distribution in neuron cells when a Voltage-Gated Calcium Channel and Sodium Calcium Exchanger are present. As we know, decreased buffer levels and increased calcium activity in the Voltage-Gated Calcium Channel and Sodium Calcium Exchanger lead to Alzheimer\u0026rsquo;s disease. Due to these changes, the calcium diffusion in that location becomes disrupted and impacted by Alzheimer\u0026rsquo;s disease. The model has been constructed by considering key factors like buffers and ER fluxes when Voltage-Gated Calcium Channels and Sodium Calcium Exchangers are present. Based on the physiological circumstances of the parameters, appropriate boundary conditions have been constructed in the fuzzy environment. This model is considered a fuzzy boundary value problem with the source term and initial boundary conditions are modeled by triangular fuzzy functions. In this, paper we observed the approximate solution of the mathematical model which was investigated by the fuzzy undetermined coefficient method. The solution has been performed through MATLAB and numerical results have been computed using simulation. The observation made that the proper operation of the Voltage-Gated Calcium Channel and Sodium Calcium Exchanger is critical for maintaining the delicate equilibrium of calcium ions, which regulates vital cellular activities. Dysregulation of Voltage-Gated Calcium Channel and Sodium Calcium Exchanger activity has been linked to neurodegenerative illnesses like Alzheimer\u0026rsquo;s disease.\u003c/p\u003e","manuscriptTitle":"A Comprehensive Fuzzy Model for Understanding Neuronal Calcium Distribution in Presence of VGCC, Na + /Ca +2 Exchanger, Buffer, and ER Fluxes","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-04-01 04:35:06","doi":"10.21203/rs.3.rs-4173714/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2024-04-11T14:30:35+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2024-04-05T07:42:21+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"df6f3be8-7124-44c0-80d6-0812274a484c","date":"2024-03-27T15:34:54+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"6ae63dc2-40a7-4756-99b1-23ecb219ed76","date":"2024-03-27T15:34:16+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2024-03-27T15:20:39+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-03-27T07:45:44+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2024-03-27T07:45:44+00:00","index":"","fulltext":""},{"type":"submitted","content":"Cell Biochemistry and Biophysics","date":"2024-03-27T05:53:49+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"cell-biochemistry-and-biophysics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"cbbi","sideBox":"Learn more about [Cell Biochemistry and Biophysics](http://link.springer.com/journal/12013)","snPcode":"12013","submissionUrl":"https://submission.nature.com/new-submission/12013/3","title":"Cell Biochemistry and Biophysics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"daeebcc3-faec-40ea-adea-1a3338acd03b","owner":[],"postedDate":"April 1st, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2024-04-20T15:07:50+00:00","versionOfRecord":[],"versionCreatedAt":"2024-04-01 04:35:06","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4173714","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4173714","identity":"rs-4173714","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}