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Special Issue: Mathematical modeling in medicine

Guest Editors

Rémy Guillevin
University of Poitiers and Poitiers University Hospital Laboratoire Commun I3M and Laboratoire de Mathématiques et Applications DACTIM-MIS Team
Email: Remy.GUILLEVIN@chu-poitiers.fr


Alain Miranville
University of Poitiers
Laboratoire Commun I3M and Laboratoire de Mathématiques et Applications DACTIM-MIS Team
Email: alain.miranville@math.univ-poitiers.fr

Manuscript Topics

Mathematics have been applied in medical problems since the end of the 19th century. Nowadays, mathematical modeling plays an increasing role in medicine. It can be useful for instance in epidemiologic research, cancer modeling and treatment, cardiovascular diseases, neurodegenerative diseases, ... One goal of mathematical modeling in medicine is to improve both drug development and hospital technology.


The aim of the special issue is to publish high quality papers dealing with current medical applications. Potential papers can include, but are not limited to:


• Derivation of new mathematical models in medicine
• Mathematical analysis of problems arising from medical applications
• Numerical analysis, simulations and comparison with real medical data
Review papers on important topics in medicine are also welcome.


Instruction for Authors
http://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 01 May 2020

Published Papers(10)

Research article
Cytomegalovirus dynamics model with random behavior
Dong-Mei Li Bing Chai Yu-Li Fu Qi Wang
2020, Volume 5, Issue 6: 6373-6394. doi: 10.3934/math.2020410
Abstract HTML PDF Viewed (4560)
Research article
Is the Allee effect relevant in cancer evolution and therapy?
Marcello Delitala Mario Ferraro
2020, Volume 5, Issue 6: 7649-7660. doi: 10.3934/math.2020489
Abstract HTML PDF Cited (14) Viewed (6406)
Research article
Separation of perfusion phases in angiographies
Guillaume Herpe Julien Dambrine Inès Bennis Clément Thomas Stéphane Velasco Rémy Guillevin
2021, Volume 6, Issue 1: 938-951. doi: 10.3934/math.2021056
Abstract HTML PDF Viewed (4508)
Research article
Cardiac memory phenomenon, time-fractional order nonlinear system and bidomain-torso type model in electrocardiology
Aziz Belmiloudi
2021, Volume 6, Issue 1: 821-867. doi: 10.3934/math.2021050
Abstract HTML PDF Cited (5) Viewed (5850)
Research article
Mathematical modelling of Her2 (ErbB2) PI3K/AKT signalling pathways during breast carcinogenesis to include PTPD2
Bing Ji Jiawei Bai Luis A J Mur Mengjia Zou Jiwan Han Rui Gao Qing Yang
2020, Volume 5, Issue 5: 4946-4958. doi: 10.3934/math.2020316
Abstract HTML PDF Cited (2) Viewed (6255)
Research article
Mathematical modeling of ER-positive breast cancer treatment with AZD9496 and palbociclib
Hsiu-Chuan Wei
2020, Volume 5, Issue 4: 3446-3455. doi: 10.3934/math.2020223
Abstract HTML PDF Cited (12) Viewed (5900)
Research article
Mathematical modeling and numerical simulation of a multiscale cancer invasion of host tissue
Peter Romeo Nyarko Martin Anokye
2020, Volume 5, Issue 4: 3111-3124. doi: 10.3934/math.2020200
Abstract HTML PDF Cited (11) Viewed (7176)
Research article
Sensitivity analysis and optimal treatment control for a mathematical model of Human Papillomavirus infection
Kai Zhang Yunpeng Ji Qiuwei Pan Yumei Wei Yong Ye Hua Liu
2020, Volume 5, Issue 3: 2646-2670. doi: 10.3934/math.2020172
Abstract HTML PDF Cited (9) Viewed (5738)
Research article
Quantitative analysis of body metabolism regulation model in the process of weight loss
Dong-Mei Li Ta-Na Guo Qi Wang Bing Chai Rui-Xue Zhang
2020, Volume 5, Issue 3: 2500-2525. doi: 10.3934/math.2020165
Abstract HTML PDF Cited (1) Viewed (4559)
Research article
Mathematical modeling of brain metabolites variations in the circadian rhythm
Laura Hatchondo Carole Guillevin Mathieu Naudin Laurence Cherfils Alain Miranville Rémy Guillevin
2020, Volume 5, Issue 1: 216-225. doi: 10.3934/math.2020013
Abstract HTML PDF Cited (2) Viewed (5011)