Message Passing and Metabolism

Active inference is an increasingly prominent paradigm in theoretical biology. It frames the dynamics of living systems as if they were solving an inference problem. This rests upon their flow towards some (non-equilibrium) steady state—or equivalently, their maximisation of the Bayesian model evide...

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Main Author: Thomas Parr
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/5/606
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author Thomas Parr
author_facet Thomas Parr
author_sort Thomas Parr
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description Active inference is an increasingly prominent paradigm in theoretical biology. It frames the dynamics of living systems as if they were solving an inference problem. This rests upon their flow towards some (non-equilibrium) steady state—or equivalently, their maximisation of the Bayesian model evidence for an implicit probabilistic model. For many models, these self-evidencing dynamics manifest as messages passed among elements of a system. Such messages resemble synaptic communication at a neuronal network level but could also apply to other network structures. This paper attempts to apply the same formulation to biochemical networks. The chemical computation that occurs in regulation of metabolism relies upon sparse interactions between coupled reactions, where enzymes induce conditional dependencies between reactants. We will see that these reactions may be viewed as the movement of probability mass between alternative categorical states. When framed in this way, the master equations describing such systems can be reformulated in terms of their steady-state distribution. This distribution plays the role of a generative model, affording an inferential interpretation of the underlying biochemistry. Finally, we see that—in analogy with computational neurology and psychiatry—metabolic disorders may be characterized as false inference under aberrant prior beliefs.
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spelling doaj.art-60dc120f670b491fa9209c8c8f5cbfa12023-11-21T19:41:38ZengMDPI AGEntropy1099-43002021-05-0123560610.3390/e23050606Message Passing and MetabolismThomas Parr0Wellcome Centre for Human Neuroimaging, Queen Square Institute of Neurology, University College London, London WC1N 3AR, UKActive inference is an increasingly prominent paradigm in theoretical biology. It frames the dynamics of living systems as if they were solving an inference problem. This rests upon their flow towards some (non-equilibrium) steady state—or equivalently, their maximisation of the Bayesian model evidence for an implicit probabilistic model. For many models, these self-evidencing dynamics manifest as messages passed among elements of a system. Such messages resemble synaptic communication at a neuronal network level but could also apply to other network structures. This paper attempts to apply the same formulation to biochemical networks. The chemical computation that occurs in regulation of metabolism relies upon sparse interactions between coupled reactions, where enzymes induce conditional dependencies between reactants. We will see that these reactions may be viewed as the movement of probability mass between alternative categorical states. When framed in this way, the master equations describing such systems can be reformulated in terms of their steady-state distribution. This distribution plays the role of a generative model, affording an inferential interpretation of the underlying biochemistry. Finally, we see that—in analogy with computational neurology and psychiatry—metabolic disorders may be characterized as false inference under aberrant prior beliefs.https://www.mdpi.com/1099-4300/23/5/606message passingmetabolismBayesianstochasticnon-equilibriummaster equations
spellingShingle Thomas Parr
Message Passing and Metabolism
Entropy
message passing
metabolism
Bayesian
stochastic
non-equilibrium
master equations
title Message Passing and Metabolism
title_full Message Passing and Metabolism
title_fullStr Message Passing and Metabolism
title_full_unstemmed Message Passing and Metabolism
title_short Message Passing and Metabolism
title_sort message passing and metabolism
topic message passing
metabolism
Bayesian
stochastic
non-equilibrium
master equations
url https://www.mdpi.com/1099-4300/23/5/606
work_keys_str_mv AT thomasparr messagepassingandmetabolism