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Special Issue: Complex fluids in living systems: theory and applications

Guest Editors

Prof. Giovanna Guidoboni  
Department of Electrical Engineering and Computer Science, Department of Mathematics,
University of Missouri, Columbia (MO), USA
Email: guidobonig@missouri.edu


Prof. Riccardo Sacco
Department of Mathematics, Politecnico di Milano (PoliMi), Piazza Leonardo da Vinci 32, 20133 Milan, Italy
Email: riccardo.sacco@polimi.it


Prof. Lorena Bociu
Department of Mathematics, North Carolina State University, USA
Email: lvbociu@ncsu.edu


Prof. Yoichiro Mori  
Department of Mathematics, Department of Biology, University of Pennsylvania,
Philadelphia, PA 19104-4544, USA
Email: y1mori@sas.upenn.edu

Manuscript Topics

Complex fluids mean many things, including multi-component mixtures, electrically-charged fluids and nonlinear macro scale models accounting for complex microscopic phenomena.
All of these models are motivated by the need of capturing important physiological mechanisms and properties and understanding what happens in case of disease.
However, complex models often fall outside what is known theoretically about their well-posedness and numerical approximation, thereby rising new fundamental mathematical questions.
This special issue aims at creating a forum where theoretical and applied researchers can exchange ideas, identify gaps in the current knowledge and open new research horizons.
In this perspective, the ideal submission should be written in a language that is accessible to a broad scientific audience.


Instructions for authors
https://www.aimspress.com/mbe/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/


Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 November 2021

Published Papers(10)

Research article
A multi-domain shear-stress dependent diffusive model of cell transport-aided dialysis: analysis and simulation
Alex Viguerie Sangita Swapnasrita Alessandro Veneziani Aurélie Carlier
2021, Volume 18, Issue 6: 8188-8200. doi: 10.3934/mbe.2021406
Abstract HTML PDF Cited (3) Viewed (3054)
Review
Dynamics and mechanisms for tear breakup (TBU) on the ocular surface
Richard J. Braun Rayanne A. Luke Tobin A. Driscoll Carolyn G. Begley
2021, Volume 18, Issue 5: 5146-5175. doi: 10.3934/mbe.2021262
Abstract HTML PDF Cited (3) Viewed (4551)
Research article
Aqueous humor dynamics in human eye: A lattice Boltzmann study
Zhangrong Qin Lingjuan Meng Fan Yang Chaoying Zhang Binghai Wen
2021, Volume 18, Issue 5: 5006-5028. doi: 10.3934/mbe.2021255
Abstract HTML PDF Cited (14) Viewed (4501)
Research article
Weakly imposed boundary conditions for shear-rate dependent non-Newtonian fluids: application to cardiovascular flows
Soonpil Kang Sharbel Nashar Elizabeth R. Livingston Arif Masud
2021, Volume 18, Issue 4: 3855-3886. doi: 10.3934/mbe.2021193
Abstract HTML PDF Cited (6) Viewed (2931)
Research article
The many behaviors of deformable active droplets
Y. -N. Young Michael J. Shelley David B. Stein
2021, Volume 18, Issue 3: 2849-2881. doi: 10.3934/mbe.2021145
Abstract HTML PDF Cited (18) Viewed (4580)
Research article
Electrohydrodynamic assembly of colloidal particles on a drop interface
Yi Hu Petia M. Vlahovska Michael J. Miksis
2021, Volume 18, Issue 3: 2357-2371. doi: 10.3934/mbe.2021119
Abstract HTML PDF Cited (3) Viewed (3532)
Research article
Coupled flow and biomass-nutrient growth at pore-scale with permeable biofilm, adaptive singularity and multiple species
Choah Shin Azhar Alhammali Lisa Bigler Naren Vohra Malgorzata Peszynska
2021, Volume 18, Issue 3: 2097-2149. doi: 10.3934/mbe.2021108
Abstract HTML PDF Cited (10) Viewed (4103)
Research article
Uncertainty propagation and sensitivity analysis: results from the Ocular Mathematical Virtual Simulator
Christophe Prud'homme Lorenzo Sala Marcela Szopos
2021, Volume 18, Issue 3: 2010-2032. doi: 10.3934/mbe.2021105
Abstract HTML PDF Cited (6) Viewed (3385)
Research article
Modeling flow in embryonic lymphatic vasculature: what is its role in valve development?
Christopher D. Bertram Bernard O. Ikhimwin Charlie Macaskill
2021, Volume 18, Issue 2: 1406-1424. doi: 10.3934/mbe.2021073
Abstract HTML PDF Cited (2) Viewed (3655)
Review
Primary cilium: a paradigm for integrating mathematical modeling with experiments and numerical simulations in mechanobiology
Zhangli Peng Andrew Resnick Y.-N. Young
2021, Volume 18, Issue 2: 1215-1237. doi: 10.3934/mbe.2021066
Abstract HTML PDF Cited (6) Viewed (4723)