Abstract

Analyzing and optimizing biological models is often identified as a research priority in biomedical engineering. An important feature of a model should be the ability to find the best condition in which an organism has to be grown in order to reach specific optimal output values chosen by the researcher. In this work, we take into account a mitochondrial model analyzed with flux-balance analysis. The optimal design and assessment of these models is achieved through single- and/or multi-objective optimization techniques driven by epsilon-dominance and identifiability analysis. Our optimization algorithm searches for the values of the flux rates that optimize multiple cellular functions simultaneously. The optimization of the fluxes of the metabolic network includes not only input fluxes, but also internal fluxes. A faster convergence process with robust candidate solutions is permitted by a relaxed Pareto dominance, regulating the granularity of the approximation of the desired Pareto front. We find that the maximum ATP production is linked to a total consumption of NADH, and reaching the maximum amount of NADH leads to an increasing request of NADH from the external environment. Furthermore, the identifiability analysis characterizes the type and the stage of three monogenic diseases. Finally, we propose a new methodology to extend any constraint-based model using protein abundances.

Highlights

  • The analysis of models and the automated design of metabolic networks and synthetic pathways are key features for investigating biochemical systems

  • Mitochondria are the core of cellular metabolism, since they generate adenosine triphosphate (ATP) molecules

  • Data from literature demonstrate that mitochondria play a crucial role in neuronal cell survival [27]

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Summary

Introduction

The analysis of models and the automated design of metabolic networks and synthetic pathways are key features for investigating biochemical systems. To this end, several mathematical model approaches have been designed, based on ordinary differential expression, stochastic methods, master equations or on algebraic equations [1]. Algorithms and computational methods have been implemented to perform their numerical simulation. This led to biological models that researchers used to build gene regulatory networks of cells under specific experimental conditions [2], to inferring the metabolic flux behavior in single cells for synthetic purposes [3], and to pharmacokinetics/pharmacodynamics studies [4].

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