S
Sivabal Sivaloganathan
Researcher at University of Waterloo
Publications - 53
Citations - 1703
Sivabal Sivaloganathan is an academic researcher from University of Waterloo. The author has contributed to research in topics: Hydrocephalus & Fractional calculus. The author has an hindex of 21, co-authored 51 publications receiving 1519 citations. Previous affiliations of Sivabal Sivaloganathan include Fields Institute.
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Journal ArticleDOI
Mechanics of the brain: perspectives, challenges, and opportunities
Alain Goriely,Mgd Marc Geers,Gerhard Holzapfel,Jayaratnam Jayamohan,Antoine Jérusalem,Sivabal Sivaloganathan,W Waney Squier,Jaw Hans van Dommelen,Sarah L. Waters,Ellen Kuhl +9 more
TL;DR: It is shown that classical mechanical concepts including deformations, stretch, strain, strain rate, pressure, and stress play a crucial role in modulating both brain form and brain function.
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A Fractional Model of Continuum Mechanics
TL;DR: In this article, the authors present a general framework for fractional calculus in continuum mechanics by defining the laws of motion and the stresses using fractional derivatives, and apply this framework to two one-dimensional model problems: the deformation of an infinite bar subjected to a self-equilibrated load distribution, and the propagation of longitudinal waves in a thin finite bar.
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Computational and Mathematical Methods in Medicine
TL;DR: This issue marks a transition and a changing of the guard for Computational and Mathematical Methods in Medicine as Hindawi takes the helm and converts CMMM to the community-based, open access model that they have so successfully championed.
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Mathematical modeling of brain tumors: effects of radiotherapy and chemotherapy
Gibin G. Powathil,Mohammad Kohandel,Mohammad Kohandel,Sivabal Sivaloganathan,Sivabal Sivaloganathan,Amit M. Oza,Amit M. Oza,Michael Milosevic +7 more
TL;DR: A simple spatio-temporal mathematical model is considered, based on proliferation and diffusion, that incorporates the effects of radiotherapeutic and chemotherAPEutic treatments that is used to predict optimal sequencing of the postoperative treatments for brain tumors.
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Dynamics of tumor growth and combination of anti-angiogenic and cytotoxic therapies
Mohammad Kohandel,Mohammad Kohandel,Mehran Kardar,Michael Milosevic,Sivabal Sivaloganathan,Sivabal Sivaloganathan +5 more
TL;DR: A mathematical model is presented that incorporates tumor cells and the vascular network, as well as their interplay, and can include the effects of two different treatments, conventional cytotoxic therapy and anti-angiogenic therapy, which is compared with available experimental and clinical data.