Statistical mechanics of biomolecular condensates via cavity methods

Summary: Physical mechanisms of phase separation in living systems play key physiological roles and have recently been the focus of intensive studies. The strongly heterogeneous nature of such phenomena poses difficult modeling challenges that require going beyond mean-field approaches based on post...

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Main Authors: Nino Lauber, Ondrej Tichacek, Rudrarup Bose, Christoph Flamm, Luca Leuzzi, T-Y Dora Tang, Kepa Ruiz-Mirazo, Daniele De Martino
Format: Article
Language:English
Published: Elsevier 2023-04-01
Series:iScience
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2589004223003772
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author Nino Lauber
Ondrej Tichacek
Rudrarup Bose
Christoph Flamm
Luca Leuzzi
T-Y Dora Tang
Kepa Ruiz-Mirazo
Daniele De Martino
author_facet Nino Lauber
Ondrej Tichacek
Rudrarup Bose
Christoph Flamm
Luca Leuzzi
T-Y Dora Tang
Kepa Ruiz-Mirazo
Daniele De Martino
author_sort Nino Lauber
collection DOAJ
description Summary: Physical mechanisms of phase separation in living systems play key physiological roles and have recently been the focus of intensive studies. The strongly heterogeneous nature of such phenomena poses difficult modeling challenges that require going beyond mean-field approaches based on postulating a free energy landscape. The pathway we take here is to calculate the partition function starting from microscopic interactions by means of cavity methods, based on a tree approximation for the interaction graph. We illustrate them on the binary case and then apply them successfully to ternary systems, in which simpler one-factor approximations are proved inadequate. We demonstrate the agreement with lattice simulations and contrast our theory with coacervation experiments of associative de-mixing of nucleotides and poly-lysine. Different types of evidence are provided to support cavity methods as ideal tools for modeling biomolecular condensation, giving an optimal balance between the consideration of spatial aspects and fast computational results.
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spelling doaj.art-3877b7526eb14139988ef31c4b2d3f352023-03-22T04:37:41ZengElsevieriScience2589-00422023-04-01264106300Statistical mechanics of biomolecular condensates via cavity methodsNino Lauber0Ondrej Tichacek1Rudrarup Bose2Christoph Flamm3Luca Leuzzi4T-Y Dora Tang5Kepa Ruiz-Mirazo6Daniele De Martino7Biofisika Institute (CSIC, UPV/EHU), Barrio Sarriena s/n. 48940 Leioa, Bizkaia, Spain; Donostia International Physics Center (DIPC), Paseo Manuel de Lardizabal, 4, 20018 Donostia-San Sebastian, Gipuzkoa, Spain; Department of Philosophy (UPV/EHU), Avenida de Tolosa 70, 20018 Donostia–San Sebastian, Gipuzkoa, SpainInstitute of Organic Chemistry and Biochemistry of the Czech Academy of Sciences, Flemingovo náměstí 542/2, 160 00 Praha 6, Czech RepublicMax Planck Institute of Molecular Cell Biology & Genetics, Pfotenhauerstraße 108, 01307 Dresden, GermanyInstitute for Theoretical Chemistry, University of Vienna, Vienna, AustriaDepartment of Physics, Universitá di Roma la Sapienza, Piazzale Aldo Moro 5, 00185 Rome, Italy; Institute of Nanotechnology, Soft and Living Matter Laboratory, Consiglio Nazionale delle Ricerche (CNR-NANOTEC), Piazzale Aldo Moro 5, 00185 Rome, ItalyMax Planck Institute of Molecular Cell Biology & Genetics, Pfotenhauerstraße 108, 01307 Dresden, GermanyBiofisika Institute (CSIC, UPV/EHU), Barrio Sarriena s/n. 48940 Leioa, Bizkaia, Spain; Department of Philosophy (UPV/EHU), Avenida de Tolosa 70, 20018 Donostia–San Sebastian, Gipuzkoa, SpainBiofisika Institute (CSIC, UPV/EHU), Barrio Sarriena s/n. 48940 Leioa, Bizkaia, Spain; Ikerbasque Foundation, Alameda Urquijo, 36, 48011 Bilbao, Bizkaia, Spain; Corresponding authorSummary: Physical mechanisms of phase separation in living systems play key physiological roles and have recently been the focus of intensive studies. The strongly heterogeneous nature of such phenomena poses difficult modeling challenges that require going beyond mean-field approaches based on postulating a free energy landscape. The pathway we take here is to calculate the partition function starting from microscopic interactions by means of cavity methods, based on a tree approximation for the interaction graph. We illustrate them on the binary case and then apply them successfully to ternary systems, in which simpler one-factor approximations are proved inadequate. We demonstrate the agreement with lattice simulations and contrast our theory with coacervation experiments of associative de-mixing of nucleotides and poly-lysine. Different types of evidence are provided to support cavity methods as ideal tools for modeling biomolecular condensation, giving an optimal balance between the consideration of spatial aspects and fast computational results.http://www.sciencedirect.com/science/article/pii/S2589004223003772Statistical physicsStatistical mechanicsMolecular interaction
spellingShingle Nino Lauber
Ondrej Tichacek
Rudrarup Bose
Christoph Flamm
Luca Leuzzi
T-Y Dora Tang
Kepa Ruiz-Mirazo
Daniele De Martino
Statistical mechanics of biomolecular condensates via cavity methods
iScience
Statistical physics
Statistical mechanics
Molecular interaction
title Statistical mechanics of biomolecular condensates via cavity methods
title_full Statistical mechanics of biomolecular condensates via cavity methods
title_fullStr Statistical mechanics of biomolecular condensates via cavity methods
title_full_unstemmed Statistical mechanics of biomolecular condensates via cavity methods
title_short Statistical mechanics of biomolecular condensates via cavity methods
title_sort statistical mechanics of biomolecular condensates via cavity methods
topic Statistical physics
Statistical mechanics
Molecular interaction
url http://www.sciencedirect.com/science/article/pii/S2589004223003772
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