Collection
Insights into biological problems stemming from PDE models, a special collection in honor of Avner Friedman
- Submission status
- Closed
This is a collection of articles on applications of partial differential equations and dynamical systems to important problems in biology.
Editors
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Hans Othmer
Mathematician in the School of Mathematics at the University of Minnesota. Formerly taught at Rutgers University and the University of Utah. Research interests focus on biochemical and mechanical aspects of cell motility and on understanding complex signal transduction and gene control networks. Fellow of the American Physical Society, the Humboldt Foundation, and the Society for Industrial and Applied Mathematics.
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Urszula Ledzewicz
Urszula Ledzewicz received her Ph. D in 1984 at the University of Lodz, Poland. She spent most of her professional career at Southern Illinois University Edwardsville where she retired in 2015 at the rank of Distinguished Research Professor. Currently she holds a position of a research professor at Lodz University of Technology, Poland. Her research interests include optimal control, optimization, and applications of these fields in mathematical biology, particularly to modeling and optimization of cancer therapies. She is an Associate Editor in numerous journals, both in the fields of optimization and mathematical biology including JOMB.
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Yuan Lou &
Yuan Lou
Dr. Yuan Lou received his Ph.D from University of Minnesota in 1995. He was a postdoc at MSRI (1995-1996) and Dickson Instructor at University of Chicago (1996-1998). Since 1998, he has been a faculty member at Ohio State University. Since 2021 he has been a visiting professor at Shanghai Jiaotong University. Dr. Lou's research interest is reaction-diffusion equations with applications to biology. He served as Associate Director of Mathematical Biosciences Institute (2009-2013). Currently he is serving as Co Editor-in-Chief of Discrete and Continuous Dynamical Systems-Series B and in several editorial boards, including JMB.
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Philip K. Maini
Philip Maini received his DPhil from Oxford in 1985, under the supervision of J.D. Murray FRS. His first faculty position was at the University of Utah, from where he moved back to Oxford in 1990. He is Director of the Wolfson Centre for Mathematical Biology, and the Inaugural Statutory Professor of Mathematical Biology. His research focusses on the mathematical modelling of mechanistic processes in developmental biology, solid tumour growth and cancer. He is a Fellow of the Royal Society, the Academy of Medical Sciences, the Society for Industrial and Applied Mathematics, and the Society for Mathematical Biology.
Articles (15 in this collection)
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COVID-19-associated pulmonary aspergillosis in immunocompetent patients: a virtual patient cohort study
Authors (first, second and last of 4)
- Henrique A. L. Ribeiro
- Yogesh Scindia
- Reinhard Laubenbacher
- Content type: OriginalPaper
- Published: 12 June 2023
- Article: 6
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Hybrid discrete-time-continuous-time models and a SARS CoV-2 mystery: Sub-Saharan Africa’s low SARS CoV-2 disease burden
Authors
- Nourridine Siewe
- Abdul-Aziz Yakubu
- Content type: OriginalPaper
- Published: 06 May 2023
- Article: 91
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A stochastic parabolic model of MEMS driven by fractional Brownian motion
Authors (first, second and last of 4)
- Ourania Drosinou
- Christos V. Nikolopoulos
- Nikos I. Kavallaris
- Content type: OriginalPaper
- Published: 11 April 2023
- Article: 73
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Front propagation in the shadow wave-pinning model
Authors
- Daniel Gomez
- King-Yeung Lam
- Yoichiro Mori
- Content type: OriginalPaper
- Published: 10 April 2023
- Article: 72
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A free boundary problem-in time-for the spread of Covid-19
Authors
- Stephan Luckhaus
- Angela Stevens
- Content type: OriginalPaper
- Open Access
- Published: 15 February 2023
- Article: 45
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Introduction to the special collection in honor of Avner Friedman
Authors (first, second and last of 4)
- Hans Othmer
- Yuan Lou
- Urszula Ledzewicz
- Content type: OriginalPaper
- Published: 25 January 2023
- Article: 33
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Modeling tumour heterogeneity of PD-L1 expression in tumour progression and adaptive therapy
Authors
- Shizhao Ma
- Jinzhi Lei
- Xiulan Lai
- Content type: OriginalPaper
- Published: 25 January 2023
- Article: 38
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Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis
Authors (first, second and last of 4)
- Min-Jhe Lu
- Wenrui Hao
- Shuwang Li
- Content type: OriginalPaper
- Published: 07 January 2023
- Article: 19
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Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour
Authors
- Gopikrishnan C. Remesan
- Jennifer A. Flegg
- Helen M. Byrne
- Content type: OriginalPaper
- Published: 20 December 2022
- Article: 18
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Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation
Authors
- L. Eigentler
- J. A. Sherratt
- Content type: OriginalPaper
- Open Access
- Published: 17 December 2022
- Article: 15
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Role of senescent tumor cells in building a cytokine shield in the tumor microenvironment: mathematical modeling
Authors (first, second and last of 4)
- Yangjin Kim
- Junho Lee
- Sean Lawler
- Content type: OriginalPaper
- Published: 13 December 2022
- Article: 14
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The effects of internal forces and membrane heterogeneity on three-dimensional cell shapes
Authors
- Jay A. Stotsky
- Hans G. Othmer
- Content type: OriginalPaper
- Published: 24 November 2022
- Article: 1
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Symmetry-breaking longitude bifurcations for a free boundary problem modeling small plaques in three dimensions
Authors
- Yaodan Huang
- Bei Hu
- Content type: OriginalPaper
- Published: 22 October 2022
- Article: 58
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Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species
Authors (first, second and last of 4)
- Valeria Giunta
- Thomas Hillen
- Jonathan R. Potts
- Content type: OriginalPaper
- Open Access
- Published: 20 October 2022
- Article: 56