Complexity

Mathematical Modeling and Dynamic Analysis of Complex Biological Systems


Status
Published

1Université de Mons, Mons, Belgium

2Université Libre de Bruxelles, Brussels, Belgium

3Katholiek Universiteit Leuven, Leuven, Belgium

4Universidad Autonoma de Mexico, Mexico City, Mexico


Mathematical Modeling and Dynamic Analysis of Complex Biological Systems

Description

From microscopic to macroscopic levels, mathematical modeling of biological systems has gained increased importance over the years. Metabolic networks of various cell strains and microorganisms have been established, and techniques such as Metabolic Flux Analysis (MFA), Flux Balance Analysis (FBA), or Flux Variability Analysis (FVA) are being used to determine (intervals for) the flux distribution within the cells as a function of the extracellular medium concentrations. These techniques have been extended to time-varying conditions, leading to Dynamic Metabolic Flux Analysis (DMFA). Model reduction techniques, for instance, based on the concept of Elementary Flux Modes (EFM) or Extreme Rays (ER), have also been explored, yielding macroscopic representations of the culture behavior in terms of the sole reactant and product concentrations in the extracellular medium. These developments have partly bridged the existing knowledge in data-driven, macroscopic modeling, where biologically inspired black box models are inferred from the time evolution of the component concentrations in the culture medium. There, techniques, such as Principal Component Analysis (PCA), Partial Least Squares (PLS), Neural Networks (NNs), and nonlinear estimation in general, are at the core of the model development, parameter estimation, and validation. Once established, these models can be used, depending on their level of description, to get a better insight into the cell metabolism and the influence of the culture conditions, to analyze the system dynamics, and to study their behavior notably in terms of equilibrium multiplicity and stability. These dynamic representations can sometimes be even further reduced or simplified, using sensitivity analysis, slow-fast approximations, and lower-dimensional manifolds, so as to generate representations suitable to model-based process optimization and control.

The aim of this special issue is to present a collection of recent results in the above-mentioned areas of research, either at the conceptual (theoretical) level or in view of challenging applications in environmental sciences or biopharmaceutical sectors.

Potential topics include but are not limited to the following:

  • Topics that are related in some way to biosystem dynamics and could include the following methods:
    • Dynamic metabolic flux analysis, flux balance analysis, and flux variability analysis
    • Multiscale modeling
    • Individual-based modeling
    • Population models
    • Distributed parameter systems
    • Data driven modeling
    • Analysis of nonlinear system dynamics
    • Nonlinear identification and estimation
    • Robust state estimation
    • Dynamic optimization and optimizing control
    • Model-based process control
  • Applications areas that include the following systems and processes:
    • Biological solid waste and wastewater treatment
    • Cultures of microalgae in photo-bioreactors or raceway ponds
    • Cultures of yeast, bacteria, animal, plant, and insect cells in bioreactors
    • Food microbiology

Articles

  • Special Issue
  • - Volume 2019
  • - Article ID 4858423
  • - Editorial

Mathematical Modeling and Dynamic Analysis of Complex Biological Systems

Alain Vande Wouwer | Philippe Bogaerts | ... | Alejandro Vargas
  • Special Issue
  • - Volume 2019
  • - Article ID 9715686
  • - Research Article

Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order

Asma | Nigar Ali | ... | Il Hyo Jung
  • Special Issue
  • - Volume 2018
  • - Article ID 2082037
  • - Research Article

The Silent Cooperator: An Epigenetic Model for Emergence of Altruistic Traits in Biological Systems

I. Hashem | D. Telen | ... | J. Van Impe
  • Special Issue
  • - Volume 2018
  • - Article ID 9264743
  • - Research Article

Temporal Evolution of Immunity Distributions in a Population with Waning and Boosting

M. V. Barbarossa | M. Polner | G. Röst
  • Special Issue
  • - Volume 2018
  • - Article ID 8294153
  • - Research Article

Modeling and Dynamic Analysis in a Hybrid Stochastic Bioeconomic System with Double Time Delays and Lévy Jumps

Chao Liu | Longfei Yu | Luping Wang
  • Special Issue
  • - Volume 2018
  • - Article ID 2342650
  • - Research Article

Analytical Reduction of Nonlinear Metabolic Networks Accounting for Dynamics in Enzymatic Reactions

Claudia López Zazueta | Olivier Bernard | Jean-Luc Gouzé
  • Special Issue
  • - Volume 2018
  • - Article ID 2953623
  • - Research Article

Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal Fluctuations

Shujing Gao | Lei Luo | ... | Xinzhu Meng
  • Special Issue
  • - Volume 2018
  • - Article ID 6204947
  • - Research Article

A Structural Approach to Disentangle the Visualization of Bipartite Biological Networks

J. Garcia-Algarra | J. M. Pastor | ... | J. Galeano
Complexity
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Acceptance rate43%
Submission to final decision64 days
Acceptance to publication35 days
CiteScore3.200
Impact Factor2.462
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