Special Issue: Inverse problems in the natural and social sciences

Guest Editors

Prof. Gerardo Chowell
School of Public Health, Georgia State University, Atlanta, GA, USA
Email : gchowell@gsu.edu


Prof. Alexandra Smirnova
Department of Mathematics and Statistics, Georgia State University, Atlanta, GA, USA
Email : asmirnova@gsu.edu

Manuscript Topics

Mathematical dynamic models based on differential equations provide a quantitative framework with which scientists can assess hypotheses on the potential underlying mechanisms that explain dynamics in observed data at different spatial and temporal scales, estimate key model parameters, assess the impact of interventions, and generate forecasts.


This special issue will cover a broad range of quantitative studies that make use of mathematical and statistical methods for calibrating mathematical or statistical models to time series data. Contributions will rely on phenomenological, mechanistic or hybrid models and deal with issues relating to inverse problem methodologies, parameter identifiability, uncertainty quantification, regularization methods or forecasting approaches.


Instructions for authors
https://www.aimspress.com/mbe/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
http://oeps.aimspress.com/mbe/ch/author/login.aspx

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 15 December 2018

Published Papers(12)

Research article
Renormalization group analysis of heat transfer in the presence of endothermic and exothermic chemical reactions
Andriy A. Avramenko Igor V. Shevchuk
2019, Volume 16, Issue 4: 2049-2062. doi: 10.3934/mbe.2019100
Abstract HTML PDF Cited (1) Viewed (4388)
Research article
Parameter estimates of the 2016-2017 Zika outbreak in Costa Rica: An Approximate Bayesian Computation (ABC) approach
Fabio Sanchez Luis A. Barboza Paola Vásquez
2019, Volume 16, Issue 4: 2738-2755. doi: 10.3934/mbe.2019136
Abstract HTML PDF Cited (6) Viewed (5846)
Research article
Using cultural, historical, and epidemiological data to inform, calibrate, and verify model structures in agent-based simulations
Lisa Sattenspiel Jessica Dimka Carolyn Orbann
2019, Volume 16, Issue 4: 3071-3093. doi: 10.3934/mbe.2019152
Abstract HTML PDF Cited (2) Viewed (4622)
Research article
Exploring the human-animal interface of Ebola virus disease outbreaks
Luis Ponce Ryo Kinoshita Hiroshi Nishiura
2019, Volume 16, Issue 4: 3130-3143. doi: 10.3934/mbe.2019155
Abstract HTML PDF Cited (9) Viewed (6556)
Research article
Exploring the mechanisms behind the country-specific time of Zika virusimportation
Nao Yamamoto Hyojung Lee Hiroshi Nishiura
2019, Volume 16, Issue 5: 3272-3284. doi: 10.3934/mbe.2019163
Abstract HTML PDF Cited (2) Viewed (5207)
Research article
Computing human to human Avian influenza $\mathcal{R}_0$ via transmission chains and parameter estimation
Omar Saucedo Maia Martcheva Abena Annor
2019, Volume 16, Issue 5: 3465-3487. doi: 10.3934/mbe.2019174
Abstract HTML PDF Cited (2) Viewed (4817)
Research article
Predictability and identifiability assessment of models for prostate cancer under androgen suppression therapy
Zhimin Wu Tin Phan Javier Baez Yang Kuang Eric J. Kostelich
2019, Volume 16, Issue 5: 3512-3536. doi: 10.3934/mbe.2019176
Abstract HTML PDF Cited (22) Viewed (6077)
Research article
Numerical study of discretization algorithms for stable estimation of disease parameters and epidemic forecasting
Aurelie Akossi Gerardo Chowell-Puente Alexandra Smirnova
2019, Volume 16, Issue 5: 3674-3693. doi: 10.3934/mbe.2019182
Abstract HTML PDF Cited (5) Viewed (4934)
Research article
Time dependent risk of cytomegalovirus infection in Japan
Y. Sakamoto H. Nishiura
2019, Volume 16, Issue 5: 4082-4091. doi: 10.3934/mbe.2019202
Abstract HTML PDF Cited (2) Viewed (5647)
Research article
Comparative analysis of phenomenological growth models applied to epidemic outbreaks
Raimund Bürger Gerardo Chowell Leidy Yissedt Lara-Díıaz
2019, Volume 16, Issue 5: 4250-4273. doi: 10.3934/mbe.2019212
Abstract HTML PDF Cited (32) Viewed (6468)
Research article
Comparative assessment of parameter estimation methods in the presence of overdispersion: a simulation study
Kimberlyn Roosa Ruiyan Luo Gerardo Chowell
2019, Volume 16, Issue 5: 4299-4313. doi: 10.3934/mbe.2019214
Abstract HTML PDF Cited (16) Viewed (4954)
Research article
Transmission dynamics of acute respiratory diseases in a population structured by age
Yendry N. Arguedas Mario Santana-Cibrian Jorge X. Velasco-Hernández
2019, Volume 16, Issue 6: 7477-7493. doi: 10.3934/mbe.2019375
Abstract HTML PDF Cited (7) Viewed (4200)