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On the variational framework employing optimal control for biochemical thermodynamics

  • Adam Moroz
  • David Ian Wimpenny
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Abstract

The maximum energy dissipation principle can be successfully applied to describe a range of basic nonlinear models. The application of the general variational framework (Moroz, 2008, 2009, 2010) has been illustrated for basic linear schemes. The study presented in the paper shows how the kinetic processes at this level of the biomolecular and biophysical phenomena can be effectively described in terms of the maximum energy dissipation principle and its variational formulation. On the basis of this approach, a range of Lagrangians was proposed for basic nonlinear dissipative kinetic models. The results of this study show that the framework is in agreement with nonlinear equilibrium thermodynamics.

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Cite

BibTeXRIS
BibTeX
@misc{moroz2026variational,
  title = {{On the variational framework employing optimal control for biochemical thermodynamics}},
  author = {Adam Moroz and David Ian Wimpenny},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07163},
  eprint = {2609.07163},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07163},
}
RIS
TY  - UNPB
TI  - On the variational framework employing optimal control for biochemical thermodynamics
AU  - Adam Moroz
AU  - David Ian Wimpenny
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07163
UR  - https://arxiv.org/abs/2609.07163
AB  - The maximum energy dissipation principle can be successfully applied to describe a range of basic nonlinear models. The application of the general variational framework (Moroz, 2008, 2009, 2010) has been illustrated for basic linear schemes. The study presented in the paper shows how the kinetic processes at this level of the biomolecular and biophysical phenomena can be effectively described in terms of the maximum energy dissipation principle and its variational formulation. On the basis of this approach, a range of Lagrangians was proposed for basic nonlinear dissipative kinetic models. The results of this study show that the framework is in agreement with nonlinear equilibrium thermodynamics.
ER  -