{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,30]],"date-time":"2026-09-30T13:59:00Z","timestamp":1790776740131,"version":"4.1.0"},"reference-count":38,"publisher":"Elsevier BV","issue":"10","license":[{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"}],"content-domain":{"domain":["jpharmsci.org","elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Pharmaceutical Sciences"],"published-print":{"date-parts":[[2026,10]]},"DOI":"10.1016\/j.xphs.2025.104113","type":"journal-article","created":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T16:27:48Z","timestamp":1764865668000},"page":"104113","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"title":["Modeling filtration flow rate in peristaltic pump systems for high-viscosity bovine serum albumin: A multivariate nonlinear approach"],"prefix":"10.1016","volume":"115","author":[{"given":"Jianwei","family":"Chang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fang","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wei","family":"Qin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tingting","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qizhou","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jeremy","family":"Guo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.xphs.2025.104113_bib0001","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1016\/j.ejpb.2017.06.029","article-title":"High-concentration protein formulations: how high is high?","volume":"119","author":"Garidel","year":"2017","journal-title":"Eur J Pharm Biopharm"},{"issue":"4","key":"10.1016\/j.xphs.2025.104113_bib0002","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1016\/j.xphs.2021.11.008","article-title":"Ongoing challenges to develop high concentration monoclonal antibody-based formulations for subcutaneous administration: quo vadis?","volume":"111","author":"Jiskoot","year":"2022","journal-title":"J Pharm Sci"},{"key":"10.1016\/j.xphs.2025.104113_bib0003","series-title":"Challenges in Protein Product Development","first-page":"163","article-title":"Practical considerations for high concentration protein formulations","author":"Piedmonte","year":"2018"},{"key":"10.1016\/j.xphs.2025.104113_bib0004","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1016\/S0262-1762(08)70099-3","article-title":"Accurate dispensing of biopharmaceuticals","volume":"498","author":"Lambert","year":"2008","journal-title":"World Pumps"},{"issue":"2","key":"10.1016\/j.xphs.2025.104113_bib0005","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1016\/j.xphs.2023.11.017","article-title":"Filling unit operation for biological drug products: challenges and considerations","volume":"113","author":"Adler","year":"2024","journal-title":"J Pharm Sci"},{"issue":"4","key":"10.1016\/j.xphs.2025.104113_bib0006","doi-asserted-by":"crossref","first-page":"1440","DOI":"10.1002\/jps.24357","article-title":"Particle shedding from peristaltic pump tubing in biopharmaceutical drug product manufacturing","volume":"104","author":"Saller","year":"2015","journal-title":"J Pharm Sci"},{"issue":"3","key":"10.1016\/j.xphs.2025.104113_bib0007","doi-asserted-by":"crossref","first-page":"562","DOI":"10.1016\/j.xphs.2021.09.016","article-title":"Syringe filling of high concentration mAb products using peristaltic pump-based mechanism: challenges and mitigation strategies","volume":"111","author":"Desai","year":"2022","journal-title":"J Pharm Sci"},{"key":"10.1016\/j.xphs.2025.104113_bib0008","doi-asserted-by":"crossref","unstructured":"Sederstrom D., Rodrigues R.V., Lengsfeld C. Cavitation in pharmaceutical manufacturing. Preprints. 2020; https:\/\/doi.org\/10.20944\/preprints202007.0138.v1","DOI":"10.20944\/preprints202007.0138.v1"},{"issue":"1900009","key":"10.1016\/j.xphs.2025.104113_bib0009","first-page":"1","article-title":"Silent pumpers: a comparative topical overview of the peristaltic pumping principle in living nature, engineering, and biomimetics","volume":"1","author":"Esser","year":"2019","journal-title":"Adv Intell Syst"},{"issue":"3","key":"10.1016\/j.xphs.2025.104113_bib0010","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1002\/jps.23002","article-title":"Viscosity behavior of high-concentration protein mixtures","volume":"101","author":"Galush","year":"2012","journal-title":"J Pharm Sci"},{"key":"10.1016\/j.xphs.2025.104113_bib0011","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/j.memsci.2016.02.031","article-title":"High concentration tangential flow ultrafiltration of stable monoclonal antibody solutions with low viscosities","volume":"508","author":"Hung","year":"2016","journal-title":"J Memb Sci"},{"key":"10.1016\/j.xphs.2025.104113_bib0012","doi-asserted-by":"crossref","first-page":"2147","DOI":"10.1016\/B978-0-444-63576-1.50052-2","article-title":"Manufacturability indices for high-concentration monoclonal antibody formulations","volume":"37","author":"Yang","year":"2015","journal-title":"Comput Aided Chem Eng"},{"issue":"11","key":"10.1016\/j.xphs.2025.104113_bib0013","doi-asserted-by":"crossref","first-page":"3591","DOI":"10.1002\/bit.27510","article-title":"Strategies for high-concentration drug substance manufacturing to facilitate subcutaneous administration: a review","volume":"117","author":"Holstein","year":"2020","journal-title":"Biotechnol Bioeng"},{"issue":"2","key":"10.1016\/j.xphs.2025.104113_bib0014","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.memsci.2005.06.010","article-title":"Analysis of constant permeate flow filtration using dead-end hollow fiber membranes","volume":"268","author":"Chang","year":"2006","journal-title":"J Memb Sci"},{"issue":"3","key":"10.1016\/j.xphs.2025.104113_bib0015","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/BF01376989","article-title":"Theoretical derivation of Darcy's law","volume":"25","author":"Neuman","year":"1977","journal-title":"Acta Mech"},{"issue":"2","key":"10.1016\/j.xphs.2025.104113_bib0016","doi-asserted-by":"crossref","first-page":"179","DOI":"10.3390\/w14020179","article-title":"The relationship between the Darcy and Poiseuille laws","volume":"14","author":"Fiorillo","year":"2022","journal-title":"Water"},{"issue":"1\u20133","key":"10.1016\/j.xphs.2025.104113_bib0017","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/S0011-9164(02)00492-7","article-title":"Scale-up of microfiltration systems: fouling phenomena and vmax analysis","volume":"146","author":"Zydney","year":"2002","journal-title":"Desalination"},{"issue":"8","key":"10.1016\/j.xphs.2025.104113_bib0018","doi-asserted-by":"crossref","first-page":"2538","DOI":"10.1002\/jps.23647","article-title":"High shear rheology and anisotropy in concentrated solutions of monoclonal antibodies","volume":"102","author":"Zarraga","year":"2013","journal-title":"J Pharm Sci"},{"issue":"3","key":"10.1016\/j.xphs.2025.104113_bib0019","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1007\/BF00551092","article-title":"Special features in the filtration of high-viscosity viscoses","volume":"14","author":"Dmitriev","year":"1983","journal-title":"Fibre Chem"},{"issue":"6","key":"10.1016\/j.xphs.2025.104113_bib0021","doi-asserted-by":"crossref","DOI":"10.1016\/j.xphs.2024.10.020","article-title":"Impact of surface tension, viscosity, pump settings, and nozzle size on filling process capability and accuracy in high-concentration biopharmaceuticals","volume":"114","author":"Chen","year":"2025","journal-title":"J Pharm Sci"},{"issue":"10","key":"10.1016\/j.xphs.2025.104113_bib0022","doi-asserted-by":"crossref","first-page":"3319","DOI":"10.1002\/jps.24561","article-title":"Sterile filtration of highly concentrated protein formulations: impact of protein concentration, formulation composition, and filter material","volume":"104","author":"Allmendinger","year":"2015","journal-title":"J Pharm Sci"},{"issue":"2","key":"10.1016\/j.xphs.2025.104113_bib0023","doi-asserted-by":"crossref","first-page":"77","DOI":"10.12989\/mwt.2012.3.2.077","article-title":"Prediction of solute rejection and modelling of steady-state concentration polarisation effects in pressure-driven membrane filtration using computational fluid dynamics","volume":"3","author":"Keir","year":"2012","journal-title":"Membr Water Treatm"},{"issue":"22","key":"10.1016\/j.xphs.2025.104113_bib0024","doi-asserted-by":"crossref","first-page":"5007","DOI":"10.1016\/j.polymer.2010.07.047","article-title":"Non-Newtonian flow in porous media","volume":"51","author":"Sochi","year":"2010","journal-title":"Polymer"},{"issue":"4","key":"10.1016\/j.xphs.2025.104113_bib0025","first-page":"78","article-title":"Fitting and correction of HQ outgoing performance curve of centrifugal pump","volume":"32","author":"Cheng","year":"2019","journal-title":"J Petrochem Univ"},{"key":"10.1016\/j.xphs.2025.104113_bib0026","doi-asserted-by":"crossref","DOI":"10.1016\/j.bioelechem.2021.107821","article-title":"Michaelis\u2013Menten equation considering flow velocity reveals how microbial fuel cell fluid design affects electricity recovery from sewage wastewater","volume":"140","author":"Fujii","year":"2021","journal-title":"Bioelectrochemistry"},{"issue":"9","key":"10.1016\/j.xphs.2025.104113_bib0027","doi-asserted-by":"crossref","first-page":"883","DOI":"10.3390\/membranes12090883","article-title":"Comparison of artificial intelligence control strategies for a peristaltically pumped low-pressure driven membrane process","volume":"12","author":"D\u00edez","year":"2022","journal-title":"Membranes"},{"issue":"6","key":"10.1016\/j.xphs.2025.104113_bib0028","doi-asserted-by":"crossref","first-page":"e3481","DOI":"10.1002\/btpr.3481","article-title":"Buffer effects on protein sieving losses in ultrafiltration and their relationship to biophysical properties","volume":"40","author":"Mohammadzadehmarandi","year":"2024","journal-title":"Biotechnol Prog"},{"key":"10.1016\/j.xphs.2025.104113_bib0029","doi-asserted-by":"crossref","DOI":"10.1016\/j.sna.2021.112708","article-title":"Modelling the pulsatile flow rate and pressure response of a roller-type peristaltic pump","volume":"325","author":"McIntyre","year":"2021","journal-title":"Sens Actuators A: Phys"},{"issue":"1\u20132","key":"10.1016\/j.xphs.2025.104113_bib0030","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/j.sna.2010.04.018","article-title":"A self-priming, roller-free, miniature, peristaltic pump operable with a single, reciprocating actuator","volume":"160","author":"Shkolnikov","year":"2010","journal-title":"Sens Actuators A: Phys"},{"issue":"463","key":"10.1016\/j.xphs.2025.104113_bib0031","doi-asserted-by":"crossref","first-page":"767","DOI":"10.1198\/jasa.2003.s288","article-title":"Hierarchical linear models: applications and data analysis methods","volume":"98","author":"Davidian","year":"2003","journal-title":"J Am Stat Assoc"},{"key":"10.1016\/j.xphs.2025.104113_bib0032","series-title":"Data Analysis and Applications 1: Clustering and Regression, Modeling-estimating, Forecasting, and Data Mining","first-page":"1","article-title":"Fitting models to data: residual analysis, a primer","author":"Martin","year":"2017"},{"key":"10.1016\/j.xphs.2025.104113_bib0033","doi-asserted-by":"crossref","DOI":"10.1016\/j.compchemeng.2021.107310","article-title":"Nonconvex multivariate piecewise-linear fitting using the difference-of-convex representation","volume":"150","author":"Kazda","year":"2021","journal-title":"Comput Chem Eng"},{"key":"10.1016\/j.xphs.2025.104113_bib0034","doi-asserted-by":"crossref","first-page":"2860","DOI":"10.4028\/www.scientific.net\/AMM.580-583.2860","article-title":"Research on GPS height partition fitting method","volume":"580","author":"Wang","year":"2014","journal-title":"Appl Mech Mater"},{"key":"10.1016\/j.xphs.2025.104113_bib0035","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/j.cam.2015.10.004","article-title":"Fitting the michaelis\u2013menten model","volume":"296","author":"Toulias","year":"2016","journal-title":"J Comput Appl Math"},{"issue":"9","key":"10.1016\/j.xphs.2025.104113_bib0036","doi-asserted-by":"crossref","first-page":"826","DOI":"10.1016\/S0895-4356(03)00207-5","article-title":"External validation is necessary in prediction research: a clinical example","volume":"56","author":"Bleeker","year":"2003","journal-title":"J Clin Epidemiol"},{"key":"10.1016\/j.xphs.2025.104113_bib0037","series-title":"2014 IEEE 12th International Symposium on Applied Machine Intelligence and Informatics (SAMI)","first-page":"191","article-title":"Peristaltic pumps \u2014 A review on working and control possibilities","author":"Klespitz","year":"2014"},{"issue":"1","key":"10.1016\/j.xphs.2025.104113_bib0039","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1002\/bit.21735","article-title":"Effect of solution pH on protein transmission and membrane capacity during virus filtration","volume":"100","author":"Bakhshayeshi","year":"2008","journal-title":"Biotechnol Bioeng"},{"issue":"3","key":"10.1016\/j.xphs.2025.104113_bib0040","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1139\/cjp-2017-0070","article-title":"Approximate analytical solutions to nonlinear peristaltic flow with temperature-dependent viscosity parameters: application of multi-step differential transform method (MsDTM)","volume":"96","author":"Elogail","year":"2018","journal-title":"Can J Phys"}],"container-title":["Journal of Pharmaceutical Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022354925005672?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022354925005672?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,9,30]],"date-time":"2026-09-30T13:24:19Z","timestamp":1790774659000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0022354925005672"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,10]]},"references-count":38,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2026,10]]}},"alternative-id":["S0022354925005672"],"URL":"https:\/\/doi.org\/10.1016\/j.xphs.2025.104113","relation":{},"ISSN":["0022-3549"],"issn-type":[{"value":"0022-3549","type":"print"}],"subject":[],"published":{"date-parts":[[2026,10]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Modeling filtration flow rate in peristaltic pump systems for high-viscosity bovine serum albumin: A multivariate nonlinear approach","name":"articletitle","label":"Article Title"},{"value":"Journal of Pharmaceutical Sciences","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.xphs.2025.104113","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Published by Elsevier Inc. on behalf of American Pharmacists Association\u00ae.","name":"copyright","label":"Copyright"}],"article-number":"104113"}}