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Special Issue: Stochastic methods for biological systems

Guest Editors

Prof. Grzegorz A. Rempala
Division of Biostatistics and Mathematical Biosciences Institute, The Ohio State University, USA
Email: rempala.3@osu.edu


Dr. Wasiur KhudaBukhsh
School of Mathematical Sciences, University of Nottingham, UK
Email: wasiur.khudabukhsh@nottingham.ac.uk


Dr. Ankit Gupta
Department of Biosystems Science and Engineering, ETH Zurich, Switzerland
Email: ankit.gupta@bsse.ethz.ch


Dr. Jinsu Kim
Department of Mathematics, POSTECH, Korea
Email: jinsukim@postech.ac.kr

Manuscript Topics

Recent technological and experimental advancements have allowed to collect large amounts of data in a wide variety of biological systems. Consequently, there is a clear need for rigorous mathematical techniques to analyze and extract useful insights from this data, which are often noisy, incomplete, censored/truncated, and high-dimensional. For example, epidemic data, which are mostly reported in the form of an epidemic curve, are almost always incomplete, and (left/right or interval) censored. Another challenge comes from noisy observations of biological aggregation across multiple scales.


The classical approach to modelling biological systems has been to use deterministic ordinary/partial differential equations (ODEs/PDEs). This is usually justified because the ODEs/PDEs can be seen as the mean-field (large population/volume) limit of the corresponding stochastic models. However, in many practical situations, for instance, for the purpose of parameter inference based on experimental data or for the purpose of quasi-steady-state approximations, the use of deterministic equations is often ad hoc and has been shown to be even problematic. Stochastic methods are often a natural choice in those situations and offer a more principled approach to handling various sources of uncertainties.


The language of stochastic chemical reaction networks has been used to model biological systems across multiple scales (from molecular to ecological), such as enzyme-kinetic reactions, transcription/translation, epidemic processes, predator-prey systems.


This special issue will focus on some of the recent advances in stochastic chemical reaction networks theory. Besides methodological contributions, a special focus will be on diverse and novel applications of the stochastic methods to systems biology, biochemistry, infectious disease epidemiology and public health, and ecology.


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 31 October 2022

Published Papers(6)

Research article
Mixing times for two classes of stochastically modeled reaction networks
David F. Anderson Jinsu Kim
2023, Volume 20, Issue 3: 4690-4713. doi: 10.3934/mbe.2023217
Abstract HTML PDF Cited (2) Viewed (2090)
Research article
Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions
Wai-Tong (Louis) Fan Yifan (Johnny) Yang Chaojie Yuan
2023, Volume 20, Issue 3: 4322-4352. doi: 10.3934/mbe.2023201
Abstract HTML PDF Cited (1) Viewed (2412)
Research article
Likelihood-Free Dynamical Survival Analysis applied to the COVID-19 epidemic in Ohio
Colin Klaus Matthew Wascher Wasiur R. KhudaBukhsh Grzegorz A. Rempała
2023, Volume 20, Issue 2: 4103-4127. doi: 10.3934/mbe.2023192
Abstract HTML PDF Cited (1) Viewed (2839)
Research article
Transition graph decomposition for complex balanced reaction networks with non-mass-action kinetics
Daniele Cappelletti Badal Joshi
2022, Volume 19, Issue 8: 7649-7668. doi: 10.3934/mbe.2022359
Abstract HTML PDF Viewed (2307)
Research article
Dynamics of a stochastic HBV infection model with drug therapy and immune response
Yiping Tan Yongli Cai Zhihang Peng Kaifa Wang Ruoxia Yao Weiming Wang
2022, Volume 19, Issue 8: 7570-7585. doi: 10.3934/mbe.2022356
Abstract HTML PDF Cited (6) Viewed (2826)
Research article
Fast reactions with non-interacting species in stochastic reaction networks
Linard Hoessly Carsten Wiuf
2022, Volume 19, Issue 3: 2720-2749. doi: 10.3934/mbe.2022124
Abstract HTML PDF Cited (1) Viewed (2504)