Mathematical modeling of microtube-driven regrowth of gliomas after local resection

Authors: Alexandra Shyntar, Thomas Hillen

Source: Mathematical Biosciences and Engineering, Vol 22, Iss 1, Pp 52-72 (2024)

Subject Terms: tumor microtubes, glioblastoma modeling, anisotropic diffusion, Biotechnology, TP248.13-248.65, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/1551-0018

Access URL: https://doaj.org/article/30d546c70a8a4a9084feecd9a2fa31fe

A computational model for the cancer field effect

Authors: Karl Deutscher, Thomas Hillen, Jay Newby

Source: Frontiers in Artificial Intelligence, Vol 6 (2023)

Subject Terms: cancer field effect, field cancerization, carcinogenesis, head and neck squamous cell carcinoma, computational modeling, hybrid cellular automaton, Electronic computers. Computer science, QA75.5-76.95

File Description: electronic resource

Relation: https://www.frontiersin.org/articles/10.3389/frai.2023.1060879/full; https://doaj.org/toc/2624-8212

Access URL: https://doaj.org/article/91daa4c2eb1445d1b8b10c5a56b0b8c4

Correlated random walks in heterogeneous landscapes: Derivation, homogenization, and invasion fronts

Authors: Frithjof Lutscher, Thomas Hillen

Source: AIMS Mathematics, Vol 6, Iss 8, Pp 8920-8948 (2021)

Subject Terms: correlated random walk, hyperbolic differential equation, multi-scale, homogenization, heterogeneous landscape, population persistence, population spread rate, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/c694b07f1a474c13879183a4aa4c903c

Existence and uniqueness for a coupled PDE model for motor-induced microtubule organization

Authors: Thomas Hillen, Diana White, Gerda de Vries, Adriana Dawes

Source: Journal of Biological Dynamics, Vol 11, Iss 0, Pp 294-315 (2017)

Subject Terms: Microtubule asters, vortices, mitotic spindle, transport equations, reaction-diffusion systems, Environmental sciences, GE1-350, Biology (General), QH301-705.5

File Description: electronic resource

Relation: https://doaj.org/toc/1751-3758; https://doaj.org/toc/1751-3766

Access URL: https://doaj.org/article/59545e970a1b4183a221d2ad82ab9265

Moments of von mises and fisher distributions and applications

Authors: Thomas Hillen, Kevin J. Painter, Amanda C. Swan, Albert D. Murtha

Source: Mathematical Biosciences and Engineering, Vol 14, Iss 3, Pp 673-694 (2017)

Subject Terms: von mises distribution, fisher distribution, spherical distributions, moments, biological applications, Biotechnology, TP248.13-248.65, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/1551-0018

Access URL: https://doaj.org/article/ff1a903a1aaf437ebb516d670a276186

Personalized Virus Load Curves for Acute Viral Infections

Authors: Carlos Contreras, Jay M. Newby, Thomas Hillen

Source: Viruses, Vol 13, Iss 9, p 1815 (2021)

Subject Terms: viral load, patient specific, mathematical modeling, SARS-CoV-2, Microbiology, QR1-502

File Description: electronic resource

Relation: https://www.mdpi.com/1999-4915/13/9/1815; https://doaj.org/toc/1999-4915

Access URL: https://doaj.org/article/84d8f401e8bc4dc2b24bdcd59be1c7ec

Anisotropic Network Patterns in Kinetic and Diffusive Chemotaxis Models

Authors: Ryan Thiessen, Thomas Hillen

Source: Mathematics, Vol 9, Iss 13, p 1561 (2021)

Subject Terms: chemotaxis, anisotropy, kinetic transport equation, parabolic scaling, pattern formation, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/9/13/1561; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/c09fcccd4dfd407dbdb78a4a7774a83f

A mathematical model for M-phase specific chemotherapy including the $G_0$-phase and immunoresponse

Authors: Wenxiang Liu, Thomas Hillen, H. I. Freedman

Source: Mathematical Biosciences and Engineering, Vol 4, Iss 2, Pp 239-259 (2007)

Subject Terms: hopf bifurcation., cancer growth, cycle-phase-specific drugs, time delay, Biotechnology, TP248.13-248.65, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/1551-0018

Access URL: https://doaj.org/article/9d04c915034840d3aa3710a8f6c0c57c

The Spotting Distribution of Wildfires

Authors: Jonathan Martin, Thomas Hillen

Source: Applied Sciences, Vol 6, Iss 6, p 177 (2016)

Subject Terms: spotting, wildfire, transport equations, spotting distribution, Technology, Engineering (General). Civil engineering (General), TA1-2040, Biology (General), QH301-705.5, Physics, QC1-999, Chemistry, QD1-999

File Description: electronic resource

Relation: http://www.mdpi.com/2076-3417/6/6/177; https://doaj.org/toc/2076-3417

Access URL: https://doaj.org/article/0da5f9529ea541cc9e6f6b53a5604962

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The effects of deep brain stimulation on cognition in treatment-resistant depression

Authors: Nora Runi, Gosse Mol, Thomas Hillenius, Zinet Hassanzadeh, Damiaan Denys, Isidoor Bergfeld

Source: Brain Stimulation, Vol 16, Iss 1, Pp 206- (2023)

Subject Terms: Neurosciences. Biological psychiatry. Neuropsychiatry, RC321-571

File Description: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S1935861X23002759; https://doaj.org/toc/1935-861X

Access URL: https://doaj.org/article/046106cdd55f4920a50154cb0f895c8c

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M⁵ mesoscopic and macroscopic models for mesenchymal motion.

Authors: Thomas Hillen

Source: Journal of Mathematical Biology; Oct2006, Vol. 53 Issue 4, p585-616, 32p

Preface.

Authors: Thomas Hillen, Frithjof Lutscher, Johannes Müller

Source: Journal of Mathematical Biology; Oct2006, Vol. 53 Issue 4, p491-495, 5p

The one?dimensional chemotaxis model: global existence and asymptotic profile.

Authors: Thomas Hillen, Alex Potapov

Source: Mathematical Methods in the Applied Sciences; Oct2004, Vol. 27 Issue 15, p1783-1801, 19p

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Applied and Industrial Mathematics in Canada and Worldwide

Authors: Thomas Hillen1 Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada, Raymond J. Spiteri

Source: AIMS Mathematics, Vol 4, Iss 6, Pp 1698-1699 (2019)

Subject Terms: Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.aimspress.com/article/10.3934/math.2019.6.1698/fulltext.html; https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/bd57b33967364d61b02a5db15036474e