Cited by 13Origins and Evolution of LifeAdvanced Thermodynamics and Statistical MechanicsRNA and protein synthesis mechanisms

Thermodynamics of Duplication Thresholds in Synthetic Protocell Systems

Open access
Corominas-Murtra, Bernat·2019·Life

Abstract

Understanding the thermodynamics of the duplication process is a fundamental step towards a comprehensive physical theory of biological systems. However, the immense complexity of real cells obscures the fundamental tensions between energy gradients and entropic contributions that underlie duplication. The study of synthetic, feasible systems reproducing part of the key ingredients of living entities but overcoming major sources of biological complexity is of great relevance to deepen the comprehension of the fundamental thermodynamic processes underlying life and its prevalence. In this paper an abstract—yet realistic—synthetic system made of small synthetic protocell aggregates is studied in detail. A fundamental relation between free energy and entropic gradients is derived for a general, non-equilibrium scenario, setting the thermodynamic conditions for the occurrence and prevalence of duplication phenomena. This relation sets explicitly how the energy gradients invested in creating and maintaining structural—and eventually, functional—elements of the system must always compensate the entropic gradients, whose contributions come from changes in the translational, configurational, and macrostate entropies, as well as from dissipation due to irreversible transitions. Work/energy relations are also derived, defining lower bounds on the energy required for the duplication event to take place. A specific example including real ternary emulsions is provided in order to grasp the orders of magnitude involved in the problem. It is found that the minimal work invested over the system to trigger a duplication event is around ~ 10 − 13 J , which results, in the case of duplication of all the vesicles contained in a liter of emulsion, in an amount of energy around ~ 1 kJ . Without aiming to describe a truly biological process of duplication, this theoretical contribution seeks to explicitly define and identify the key actors that participate in it.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.3390/life9010009

Cites

3 of 3 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Models have shown that cell division through growth and instability is possible in an information-free context where only metabolism and compartment are present, both in amphiphile-based vesicles and micelles.

    “But models have also shown that such a possibility exists in an information-free context where only metabolism and compartment are present, both in amphiphile-based vesicles [167–169] and micelles [164,170].”

    From Fundamental constraints to the logic of living systems (2024) · cites this paper as [169]

    The Introduction describes a model with a compartment, resource-to-building-block processes, and no information or replication dynamics; the Discussion says its driven emulsion aggregates can duplicate. But the model is presented as a generic emulsion system, and our copy does not establish that its duplication result specifically applies to micelles, the part of the citing sentence to which this citation is attached. (LLM, conf=0.83)

    Experimental — accuracy not yet measured

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 49

  1. [1]Rashevky N. Mathematical Biophysics: Physico-Mathematical Foundations of Biology University of Chicago Press Chicago, IL, USA 1938
  2. [2]Schrödinger E. What Is Life? The Physical Aspect of the Living Cell Cambridge University Press Cambridge, UK 1944
  3. [3]Morowitz H. Energy Flow in Biology Academic Press New York, NY, USA 1968
  4. [4]Kauffman S.A. The Origins of Order: Self-Organization and Selection in Evolution Oxford University Press New York, NY, USA 1993
  5. [5]Szathmáry E. Smith J.M. The Major Transitions in Evolution WH Freeman Spektrum Oxford, UK 1995
  6. [6]Schuster P. How does complexity arise in evolution Complexity 1999 2 22 30 10.1002/(SICI)1099-0526(199609/10)2:1<22::AID-CPLX6>3.0.CO;2-H · DOI
  7. [7]Deamer D.W. The first living systems: A bioenergetic perspective Microbiol. Mol. Biol. Rev. 1997 61 239 9184012 PMC232609
  8. [9]Smith E. Thermodynamics of natural selection I: Energy flow and the limits on organization J. Theor. Biol. 2008 252 185 10.1016/j.jtbi.2008.02.010 18367210 · DOI
  9. [10]Smith E. Thermodynamics of natural selection II: Chemical Carnot Cycles J. Theor. Biol. 2008 252 198 10.1016/j.jtbi.2008.02.008 18367209 · DOI
  10. [11]Smith E. Thermodynamics of natural selection III: Landauer’s principle in computation and chemistry J. Theor. Biol. 2008 252 213 10.1016/j.jtbi.2008.02.013 18359043 · DOI
  11. [12]England J.L. Statistical Physics of Self-Replication J. Chem. Phys. 2013 139 121923 10.1063/1.4818538 24089735 · DOI · Paper page
  12. [13]Kauffman S. Molecular autonomous agents Philos. Trans. R. Soc. A 2003 361 1089 10.1098/rsta.2003.1186 12816601 · DOI
  13. [14]Ganti T. The Principles of Life Oxford University Press Oxford, UK 2003
  14. [15]Solé R.V. Rasmussen S. Bedau M.A. Towards the artificial cell Philos. Trans. R. Soc. Lond. B Biol. Sci. 2007 362 1723 1925
  15. [16]Rasmussen S. Bedau M.A. Chen L. Deamer D. Krakauer D. Packard N. Stadler P. Proto-Cells: Bridging Nonliving and Living Matter MIT Press Cambridge, MA, USA 2008
  16. [18]Bachmann P.A. Luisi P.L. Lang J. Autocatalytic self-replicating micelles as models for prebiotic structures Nature 1992 357 57 59 10.1038/357057a0 · DOI · Paper page
  17. [19]Deamer D. A giant step toward artificial life? Trends Biotechnol. 2005 23 336 338 10.1016/j.tibtech.2005.05.008 15935500 · DOI
  18. [20]Solé R. Synthetic transitions: Towards a new synthesis Philos. Trans. R. Soc. B 2016 371 20150438 10.1098/rstb.2015.0438 27431516 PMC4958932 · DOI
  19. [22]Hanczyc M.M. Toyota T. Ikegami T. Packard N. Sugawara T. Fatty Acid Chemistry at the Oil-Water Interface: Self-Propelled Oil Droplets J. Am. Chem. Soc. 2007 129 9386 9391 10.1021/ja0706955 17616129 · DOI
  20. [23]Mansy S.S. Schrum J.P. Krishnamurthy M. Tobé S. Treco D.A. Szostak J.W. Template-directed synthesis of a genetic polymer in a model protocell Nature 2008 454 122 125 10.1038/nature07018 18528332 PMC2743009 · DOI · Paper page
  21. [24]Toyota T. Maru N. Hanczyc M.M. Ikegami T. Sugawara T. Self-Propelled Oil Droplets Consuming Fuel Surfactant J. Am. Chem. Soc. 2009 131 5012 5013 10.1021/ja806689p 19351200 · DOI
  22. [26]Fellermann H. Corominas-Murtra B. Hansen P.L. Ipsen J.H. Solé R.V. Rasmussen S. Non-Equilibrium Thermodynamics of Self-Replicating Protocells arXiv 2015 1503.04683
  23. [27]Corominas-Murtra B. Fellermann H. Solé R. Protocell cycles as thermodynamic cycles The Interplay between Thermodynamics and Computation in Natural and Artificial Systems Wolpert D.H. Kempes C. Grochow J.A. Stadler P.F. Santa Fe Institute Press Santa Fe, NM, USA 2019 accepted, to appear
  24. [29]Mouritsen O. Life-As a Matter of Fat: The Emerging Science of Lipidomics Springer Berlin, Germany 2005
  25. [30]Zwicker D. Seyboldt R. Weber C.A. Hyman A.A. Jüicher F. Growth and division of active droplets provides a model for protocells Nat. Phys. 2017 13 408 413 10.1038/nphys3984 · DOI
  26. [31]Taylor J.W. Eghtesadi S.A. Points L.J. Liu T. Cronin L. Autonomous model protocell division driven by molecular replication Nat. Commun. 2017 8 237 10.1038/s41467-017-00177-4 28798300 PMC5552811 · DOI
  27. [32]Mavelli F. Ruiz-Mirazo K. Theoretical conditions for the stationary reproduction of model protocells Integr. Biol. 2012 5 324 10.1039/C2IB20222K 23233152 · DOI
  28. [33]Helfrich W. Elastic properties of lipid bilayers: Theory and possible experiments Zeitschrift für Naturforschung C 1973 28 693 10.1515/znc-1973-11-1209 4273690 · DOI
  29. [34]Seifert U. Configurations of Fluid Membranes and Vesicles Adv. Phys. 1997 46 13 137 10.1080/00018739700101488 · DOI
  30. [35]Reiss H. Ellerby H.M. Manzanares J.A. Configurational entropy of microemulsions: The fundamental length scale J. Chem. Phys. 1993 99 9930 9937 10.1063/1.465391 · DOI
  31. [36]Reiss H. Kegel W.K. Groenewold J. Length Scale for Configurational Entropy in Microemulsions? Berichte der Bunsengesellschaft 1996 100 279 295 10.1002/bbpc.19961000314 · DOI
  32. [37]Jarzynski C. Nonequilibrium Equality for Free Energy Differences Phys. Rev. Lett. 1997 78 2690 10.1103/PhysRevLett.78.2690 · DOI
  33. [38]Crooks G.E. Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences Phys. Rev. E 1999 60 2721 10.1103/PhysRevE.60.2721 11970075 · DOI
  34. [39]Gómez-Marín P.J. Van den Broeck C. Lower bounds on dissipation upon coarse graining Phys. Rev. E 2008 78 011107 10.1103/PhysRevE.78.011107 18763919 · DOI
  35. [40]Parrondo J.M.R. Van den Broeck C. Kawai R. Entropy production and the arrow of time New J. Phys. 2009 11 073008 10.1088/1367-2630/11/7/073008 · DOI
  36. [41]Roldán E. Irreversibility and Dissipation in Microscopic Systems Springer Berlin, Germany 2014
  37. [42]Seifert U. Stochastic thermodynamics, fluctuation theorems and molecular machines Rep. Progress Phys. 2012 75 126001 10.1088/0034-4885/75/12/126001 23168354 · DOI · Paper page
  38. [43]Parrondo J.M. Horowitz J.M. Sagawa T. Thermodynamics of information Nat. Phys. 2015 11 131 10.1038/nphys3230 · DOI
  39. [44]Kolchinsky A. Wolpert D.H. Semantic information, agency, and nonequilibrium statistical physics Interface Focus 2018 8 0041 10.1098/rsfs.2018.0041 30443338 PMC6227811 · DOI
  40. [45]Pathria R.K. Statistical Mechanics Butterworth-Heinemann Oxford, UK 1996
  41. [46]Bachmann P.A. Luisi P.L. Lang P.L.J. Self-replicating micelles: Aqueous micelles and enzymatically driven reactions in reverse micelles J. Am. Chem. Soc. 1991 113 8204 10.1021/ja00022a002 · DOI
  42. [47]Kaganer V.M. Möhwald H. Dutta P. Structure and phase transitions in Langmuir monolayers Rev. Mod. Phys. 1999 71 779 10.1103/RevModPhys.71.779 · DOI
  43. [48]Caschera P. Rasmussen S. Hanczyc M.M. An Oil Droplet Division-Fusion Cycle ChemPlusChem 2013 78 52 54 10.1002/cplu.201200275 · DOI
  44. [51]Cover T.M. Thomas J.A. Elements of Information Theory John Wiley and Sons Hoboken, NJ, USA 2012
  45. [52]Gaveau B. Schulman L. A general framework for non-equilibrium phenomena: The master equation and its formal consequences Phys. Lett. A 1997 229 347 353 10.1016/S0375-9601(97)00185-0 · DOI
  46. [53]Esposito M. Van den Broeck C. Second law and Landauer principle far from equilibrium Europhys. Lett. 2011 95 40004 10.1209/0295-5075/95/40004 · DOI
  47. [54]Esposito M. Van der Broeck C. The Three Faces of the Second Law: I. Master Equation Formulation Phys. Rev. E 2010 82 011143 10.1103/PhysRevE.82.011143 20866601 · DOI
  48. [55]Kolchinsky A. Wolpert D.H. Dependence of dissipation on the initial distribution over states J. Stat. Mech. 2017 2017 083202 10.1088/1742-5468/aa7ee1 · DOI
  49. [56]Gomez-Marín A. Parrondo J. Van den Broeck C. The footprints of irreversibility EPL 2008 82 50002 10.1209/0295-5075/82/50002 · DOI

Cited by

Sorted by citations

Authors
Corominas-Murtra, B.
Affiliations
Institute of Science and Technology Austria, Am Campus 1, A-3400 Klosterneuburg, Austria
Venue
Life
Publisher
MDPI AG
Published
2019-01-15
Volume
9
Issue
1
Pages
9
ISSN
2075-1729 (ISSN-L)
OpenAlex
W2899873407
Cited by
13
References
3
Citations by year
2025: 2 · 2024: 2 · 2022: 2 · 2020: 2 · 2019: 5
FWCI
1.20
Type
journal article
Language
en
Open access
Locations
  • Life (publishedVersion, cc-by)
  • Europe PMC (PubMed Central) (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • Institute of Science and Technology Austria (submittedVersion, cc-by)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Origins and Evolution of Life
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › RNA and protein synthesis mechanisms
Keywords
protocells, thermodynamics of life, free energy, non-equilibrium thermodynamics, work-energy theorem, vesicles, energy dissipation, origin of life, configurational entropy

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review