{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T03:18:33Z","timestamp":1772767113384,"version":"3.50.1"},"reference-count":23,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2021,11,4]],"date-time":"2021-11-04T00:00:00Z","timestamp":1635984000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Cerebrospinal fluid (CSF) is a symmetric flow transport that surrounds brain and central nervous system (CNS). Congenital hydrocephalusis is an asymmetric and unusual cerebrospinal fluid flow during fetal development. This dumping impact enhances the elasticity over the ventricle wall. Henceforth, compression change influences the force of brain tissues. This paper presents a mathematical model to establish the effects of ventricular elasticity through a porous channel. The current model is good enough for immediate use by a neurosurgeon. The mathematical model is likely to be a powerful tool for the better treatment of hydrocephalus and other brain biomechanics. The non-linear dimensionless governing equations are solved using a perturbation technique, and the outcome is portrayed graphically with the aid of MATLAB.<\/jats:p>","DOI":"10.3390\/sym13112087","type":"journal-article","created":{"date-parts":[[2021,11,4]],"date-time":"2021-11-04T22:25:54Z","timestamp":1636064754000},"page":"2087","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Effect of Ventricular Elasticity Due to Congenital Hydrocephalus"],"prefix":"10.3390","volume":"13","author":[{"given":"Hemalatha","family":"Balasundaram","sequence":"first","affiliation":[{"name":"Department of Mathematics, VISTAS, Vels University, Zamin Pallavaram, Chennai 600117, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Senthamilselvi","family":"Sathiamoorthy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, VISTAS, Vels University, Zamin Pallavaram, Chennai 600117, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9740-3081","authenticated-orcid":false,"given":"Shyam Sundar","family":"Santra","sequence":"additional","affiliation":[{"name":"Department of Mathematics, JIS College of Engineering, Kalyani 741235, West Bengal, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rifaqat","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science and Arts, Muhayil, King Khalid University, Abha 9004, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vediyappan","family":"Govindan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Phuket Rajabhat University, Phuket 83000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5032-0665","authenticated-orcid":false,"given":"Aliona","family":"Dreglea","sequence":"additional","affiliation":[{"name":"Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, 664074 Irkutsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2307-0891","authenticated-orcid":false,"given":"Samad","family":"Noeiaghdam","sequence":"additional","affiliation":[{"name":"Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, 664074 Irkutsk, Russia"},{"name":"Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, 454080 Chelyabinsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,11,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1050","DOI":"10.3171\/jns.1963.20.12.1050","article-title":"Hydrocephalus: Changes in Formation and Absorption of Cerebrospinal Fluid Within the Cerebral Ventricles","volume":"20","author":"Bering","year":"1963","journal-title":"J. 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