How Do Intrinsically Disordered Protein Regions Encode a Driving Force for Liquid-Liquid Phase Separation?
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Modelling and Numerical Simulation of Phase Separation in Polymer Modified Bitumen by Phase- Field Method
http://www.diva-portal.org Postprint This is the accepted version of a paper published in Materials & design. This paper has been peer- reviewed but does not include the final publisher proof-corrections or journal pagination. Citation for the original published paper (version of record): Zhu, J., Lu, X., Balieu, R., Kringos, N. (2016) Modelling and numerical simulation of phase separation in polymer modified bitumen by phase- field method. Materials & design, 107: 322-332 http://dx.doi.org/10.1016/j.matdes.2016.06.041 Access to the published version may require subscription. N.B. When citing this work, cite the original published paper. Permanent link to this version: http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-188830 ACCEPTED MANUSCRIPT Modelling and numerical simulation of phase separation in polymer modified bitumen by phase-field method Jiqing Zhu a,*, Xiaohu Lu b, Romain Balieu a, Niki Kringos a a Department of Civil and Architectural Engineering, KTH Royal Institute of Technology, Brinellvägen 23, SE-100 44 Stockholm, Sweden b Nynas AB, SE-149 82 Nynäshamn, Sweden * Corresponding author. Email: [email protected] (J. Zhu) Abstract In this paper, a phase-field model with viscoelastic effects is developed for polymer modified bitumen (PMB) with the aim to describe and predict the PMB storage stability and phase separation behaviour. The viscoelastic effects due to dynamic asymmetry between bitumen and polymer are represented in the model by introducing a composition-dependent mobility coefficient. A double-well potential for PMB system is proposed on the basis of the Flory-Huggins free energy of mixing, with some simplifying assumptions made to take into account the complex chemical composition of bitumen. -
Phase Diagrams and Phase Separation
Phase Diagrams and Phase Separation Books MF Ashby and DA Jones, Engineering Materials Vol 2, Pergamon P Haasen, Physical Metallurgy, G Strobl, The Physics of Polymers, Springer Introduction Mixing two (or more) components together can lead to new properties: Metal alloys e.g. steel, bronze, brass…. Polymers e.g. rubber toughened systems. Can either get complete mixing on the atomic/molecular level, or phase separation. Phase Diagrams allow us to map out what happens under different conditions (specifically of concentration and temperature). Free Energy of Mixing Entropy of Mixing nA atoms of A nB atoms of B AM Donald 1 Phase Diagrams Total atoms N = nA + nB Then Smix = k ln W N! = k ln nA!nb! This can be rewritten in terms of concentrations of the two types of atoms: nA/N = cA nB/N = cB and using Stirling's approximation Smix = -Nk (cAln cA + cBln cB) / kN mix S AB0.5 This is a parabolic curve. There is always a positive entropy gain on mixing (note the logarithms are negative) – so that entropic considerations alone will lead to a homogeneous mixture. The infinite slope at cA=0 and 1 means that it is very hard to remove final few impurities from a mixture. AM Donald 2 Phase Diagrams This is the situation if no molecular interactions to lead to enthalpic contribution to the free energy (this corresponds to the athermal or ideal mixing case). Enthalpic Contribution Assume a coordination number Z. Within a mean field approximation there are 2 nAA bonds of A-A type = 1/2 NcAZcA = 1/2 NZcA nBB bonds of B-B type = 1/2 NcBZcB = 1/2 NZ(1- 2 cA) and nAB bonds of A-B type = NZcA(1-cA) where the factor 1/2 comes in to avoid double counting and cB = (1-cA). -
Phase Separation Phenomena in Solutions of Polysulfone in Mixtures of a Solvent and a Nonsolvent: Relationship with Membrane Formation*
Phase separation phenomena in solutions of polysulfone in mixtures of a solvent and a nonsolvent: relationship with membrane formation* J. G. Wijmans, J. Kant, M. H. V. Mulder and C. A. Smolders Department of Chemical Technology, Twente University of Technology, PO Box 277, 7500 AE Enschede, The Netherlands (Received 22 October 1984) The phase separation phenomena in ternary solutions of polysulfone (PSI) in mixtures of a solvent and a nonsolvent (N,N-dimethylacetamide (DMAc) and water, in most cases) are investigated. The liquid-liquid demixing gap is determined and it is shown that its location in the ternary phase diagram is mainly determined by the PSf-nonsolvent interaction parameter. The critical point in the PSf/DMAc/water system lies at a high polymer concentration of about 8~o by weight. Calorimetric measurements with very concentrated PSf/DMAc/water solutions (prepared through liquid-liquid demixing, polymer concentration of the polymer-rich phase up to 60%) showed no heat effects in the temperature range of -20°C to 50°C. It is suggested that gelation in PSf systems is completely amorphous. The results are incorporated into a discussion of the formation of polysulfone membranes. (Keywords: polysulfone; solutions; liquid-liquid demixing; crystallization; membrane structures; membrane formation) INTRODUCTION THEORY The field of membrane filtration covers a broad range of Membrane formation different separation techniques such as: hyperfiltration, In the phase inversion process a membrane is made by reverse osmosis, ultrafiltration, microfiltration, gas sepa- casting a polymer solution on a support and then bringing ration and pervaporation. Each process makes use of the solution to phase separation by means of solvent specific membranes which must be suited for the desired outflow and/or nonsolvent inflow. -
Liquid Network Connectivity Regulates the Stability and Composition Of
Liquid network connectivity regulates the stability and composition of biomolecular condensates with many components Jorge R. Espinosaa,b,c, Jerelle A. Josepha,b,c , Ignacio Sanchez-Burgosa,b,c , Adiran Garaizara,b,c , Daan Frenkelb , and Rosana Collepardo-Guevaraa,b,c,1 aMaxwell Centre, Cavendish Laboratory, Department of Physics, University of Cambridge, Cambridge CB3 0HE, United Kindgdom; bDepartment of Chemistry, University of Cambridge, Cambridge CB2 1EW, United Kingdom; and cDepartment of Genetics, University of Cambridge, Cambridge CB2 3EH, United Kingdom Edited by Ken A. Dill, Stony Brook University, Stony Brook, NY, and approved April 17, 2020 (received for review October 8, 2019) One of the key mechanisms used by cells to control the spatiotem- 10), cellular bodies (11), or otherwise (8)—are ubiquitous within poral organization of their many components is the formation and the cell interior. Biomolecular condensates account for numer- dissolution of biomolecular condensates through liquid–liquid ous highly diverse domains, both inside the cytoplasm [e.g., P phase separation (LLPS). Using a minimal coarse-grained model granules (12) and RNA granules/bodies (13–15)] and in the cell that allows us to simulate thousands of interacting multivalent nucleus [e.g., Cajal bodies (16), nucleoli (17), heterochromatin proteins, we investigate the physical parameters dictating the domains (18, 19), the transport channels in the nuclear pore stability and composition of multicomponent biomolecular con- complex (20), and possibly superenhancers -
Partition Coefficients in Mixed Surfactant Systems
Partition coefficients in mixed surfactant systems Application of multicomponent surfactant solutions in separation processes Vom Promotionsausschuss der Technischen Universität Hamburg-Harburg zur Erlangung des akademischen Grades Doktor-Ingenieur genehmigte Dissertation von Tanja Mehling aus Lohr am Main 2013 Gutachter 1. Gutachterin: Prof. Dr.-Ing. Irina Smirnova 2. Gutachterin: Prof. Dr. Gabriele Sadowski Prüfungsausschussvorsitzender Prof. Dr. Raimund Horn Tag der mündlichen Prüfung 20. Dezember 2013 ISBN 978-3-86247-433-2 URN urn:nbn:de:gbv:830-tubdok-12592 Danksagung Diese Arbeit entstand im Rahmen meiner Tätigkeit als wissenschaftliche Mitarbeiterin am Institut für Thermische Verfahrenstechnik an der TU Hamburg-Harburg. Diese Zeit wird mir immer in guter Erinnerung bleiben. Deshalb möchte ich ganz besonders Frau Professor Dr. Irina Smirnova für die unermüdliche Unterstützung danken. Vielen Dank für das entgegengebrachte Vertrauen, die stets offene Tür, die gute Atmosphäre und die angenehme Zusammenarbeit in Erlangen und in Hamburg. Frau Professor Dr. Gabriele Sadowski danke ich für das Interesse an der Arbeit und die Begutachtung der Dissertation, Herrn Professor Horn für die freundliche Übernahme des Prüfungsvorsitzes. Weiterhin geht mein Dank an das Nestlé Research Center, Lausanne, im Besonderen an Herrn Dr. Ulrich Bobe für die ausgezeichnete Zusammenarbeit und der Bereitstellung von LPC. Den Studenten, die im Rahmen ihrer Abschlussarbeit einen wertvollen Beitrag zu dieser Arbeit geleistet haben, möchte ich herzlichst danken. Für den außergewöhnlichen Einsatz und die angenehme Zusammenarbeit bedanke ich mich besonders bei Linda Kloß, Annette Zewuhn, Dierk Claus, Pierre Bräuer, Heike Mushardt, Zaineb Doggaz und Vanya Omaynikova. Für die freundliche Arbeitsatmosphäre, erfrischenden Kaffeepausen und hilfreichen Gespräche am Institut danke ich meinen Kollegen Carlos, Carsten, Christian, Mohammad, Krishan, Pavel, Raman, René und Sucre. -
Chapter 9: Other Topics in Phase Equilibria
Chapter 9: Other Topics in Phase Equilibria This chapter deals with relations that derive in cases of equilibrium between combinations of two co-existing phases other than vapour and liquid, i.e., liquid-liquid, solid-liquid, and solid- vapour. Each of these phase equilibria may be employed to overcome difficulties encountered in purification processes that exploit the difference in the volatilities of the components of a mixture, i.e., by vapour-liquid equilibria. As with the case of vapour-liquid equilibria, the objective is to derive relations that connect the compositions of the two co-existing phases as functions of temperature and pressure. 9.1 Liquid-liquid Equilibria (LLE) 9.1.1 LLE Phase Diagrams Unlike gases which are miscible in all proportions at low pressures, liquid solutions (binary or higher order) often display partial immiscibility at least over certain range of temperature, and composition. If one attempts to form a solution within that certain composition range the system splits spontaneously into two liquid phases each comprising a solution of different composition. Thus, in such situations the equilibrium state of the system is two phases of a fixed composition corresponding to a temperature. The compositions of two such phases, however, change with temperature. This typical phase behavior of such binary liquid-liquid systems is depicted in fig. 9.1a. The closed curve represents the region where the system exists Fig. 9.1 Phase diagrams for a binary liquid system showing partial immiscibility in two phases, while outside it the state is a homogenous single liquid phase. Take for example, the point P (or Q). -
Phase Separation in Mixtures
Phase Separation in Mixtures 0.05 0.05 0.04 Stable 0.04 concentrations 0.03 0.03 G G ∆ 0.02 ∆ 0.02 0.01 0.01 Unstable Unstable concentration concentration 0 0 0 0.2 0.4 0.6 0.8 1 0 0.2 0.4 0.6 0.8 1 x x Separation onto phases will lower the average Gibbs energy and thus the equilibrium state is phase separated Notes Phase Separation versus Temperature Note that at higher temperatures the region of concentrations where phase separation takes place shrinks and G eventually disappears T increases ∆G = ∆U −T∆S This is because the term -T∆S becomes large at high temperatures. You can say that entropy “wins” over the potential energy cost at high temperatures Microscopically, the kinetic energy becomes x much larger than potential at high T, and the 1 x2 molecules randomly “run around” without noticing potential energy and thus intermix Oil and water mix at high temperature Notes Liquid-Gas Phase Separation in a Mixture A binary mixture can exist in liquid or gas phases. The liquid and gas phases have different Gibbs potentials as a function of mole fraction of one of the components of the mixture At high temperatures the Ggas <Gliquid because the entropy of gas is greater than that of liquid Tb2 T At lower temperatures, the two Gibbs b1 potentials intersect and separation onto gas and liquid takes place. Notes Boiling of a binary mixture Bubble point curve Dew point If we have a liquid at pint A that contains F A gas curve a molar fraction x1 of component 1 and T start heating it: E D - First the liquid heats to a temperature T’ C at constant x A and arrives to point B. -
Liquid-Liquid Phase Separation in Concentrated Solutions of Non-Crystallizable Polymers by Spinodal Decomposition by C
Kolloid-Z. u. Z. Polymere 243, 14-20 (1971 ) From the AKZO Research Laboratories Arnhem (The ~Vetherlands) Liquid-liquid phase separation in concentrated solutions of non-crystallizable polymers by spinodal decomposition By C. A. Smolders, J. J. van Aartsen, and A. Steenbergen With 11 figures (Received June 15, 1970) Introduction We will describe here under what condi- In the past, investigations of phase separa- tions spinodal decomposition can be expect- tion in concentrated polymer solutions cen- ed for polymer solutions. A number of ob- tered first of all on the crystallization kinet- servations on phase separation in concen- ics (1) and morphology (2) of polymer crys- trated solutions of poly(2,6-dimethyl-l,4- tals growing from solutions and, secondly, phenylene ether), (PPO| Tg = 210 ~ and on the equilibrium thermodynamic proper- of an ethylene-vinyl acetate copolymer ties of liquid-liquid phase separation phe- (Elvax-40), Tg ~ 0 ~ will be reported, which nomena (3). will make it clear that spinodal decompo- Papkov and Yefimova (4) have recently sition can be realized in polymer solutions. given a classification of different types of phase separation for polymer solutions, essen- Thermodynamic considerations tially the two types mentioned above, in which they also pay some attention to the Fig. 1 a and b, gives a schematic represen- difference in final state of separation (i. e. tation of the thermodynamics of liquid- "gel" or two liquid layers) and to the mechanism of separation itself. For liquid- A Fm [~_ liquid phase separation of solutions of non- crystallizable polymers the difference in I LE -r final state is ascribed to a combined effect of the thermodynamics of the system (the width of the miscibility gap in the temperature-com- position diagram) and the flow properties of the concentrated polymer phase. -
S41598-020-74080-2.Pdf
www.nature.com/scientificreports OPEN Multivalent tumor suppressor adenomatous polyposis coli promotes Axin biomolecular condensate formation and efcient β‑catenin degradation Tie‑Mei Li1,2,5*, Jing Ren3, Dylan Husmann2, John P. Coan1,2, Or Gozani2* & Katrin F. Chua1,4* The tumor suppressor adenomatous polyposis coli (APC) is frequently mutated in colorectal cancers. APC and Axin are core components of a destruction complex that scafolds GSK3β and CK1 to earmark β‑catenin for proteosomal degradation. Disruption of APC results in pathologic stabilization of β‑catenin and oncogenesis. However, the molecular mechanism by which APC promotes β‑catenin degradation is unclear. Here, we fnd that the intrinsically disordered region (IDR) of APC, which contains multiple β‑catenin and Axin interacting sites, undergoes liquid–liquid phase separation (LLPS) in vitro. Expression of the APC IDR in colorectal cells promotes Axin puncta formation and β‑catenin degradation. Our results support the model that multivalent interactions between APC and Axin drives the β‑catenin destruction complex to form biomolecular condensates in cells, which concentrate key components to achieve high efcient degradation of β‑catenin. APC mutations are present in ~ 80% of colorectal cancer cases1, and typically cause truncation of the APC pro- tein. APC functions downstream of the Wnt signalosome, and it is essential for the degradation of β-catenin in the absence of Wnt stimulation 2. APC forms a complex, termed the “β-catenin destruction complex” or “Axin degradasome” composed of β-catenin, the scafold protein Axin, and two kinases: GSK3β and casein kinase 1 (CK1)3,4. In the complex, proximity of β-catenin to the two kinases leads to β-catenin phosphorylation, which in turn facilitates its ubiquitination and proteosomal degradation. -
Structure of Biomolecular Condensates from Dissipative Particle Dynamics Simulations
bioRxiv preprint doi: https://doi.org/10.1101/2019.12.11.873133; this version posted April 30, 2020. The copyright holder for this preprint (which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission. Structure of biomolecular condensates from dissipative particle dynamics simulations Julian C. Shillcock,1* Maelick Brochut,2 Etienne Chénais,2 and John H. Ipsen3 1 Laboratory of Molecular and Chemical Biology of Neurodegeneration, Ecole polytechnique fédérale de Lausanne, CH-1015 Lausanne, Switzerland 2 Brain Mind Institute, Ecole polytechnique fédérale de Lausanne, CH-1015 Lausanne, Switzerland 3 Dept. of Physics, Chemistry and Pharmacy, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark * Correspondence: [email protected], OrcId: 0000-0002-7885-735X ABSTRACT Phase separation of immiscible fluids is a common phenomenon in polymer chemistry, and is recognized as an important mechanism by which cells compartmentalize their biochemical reactions. Biomolecular condensates are condensed fluid droplets in cells that form by liquid-liquid phase separation of intrinsically-disordered proteins. They have a wide range of functions and are associated with chronic neurodegenerative diseases in which they become pathologically rigid. Intrinsically-disordered proteins are conformationally flexible and possess multiple, distributed binding sites for each other or for RNA. However, it remains unclear how their material properties depend on the molecular structure of the proteins. Here we use coarse-grained simulations to explore the phase behavior and structure of a model biomolecular condensate composed of semi-flexible polymers with attractive end-caps in a good solvent. Although highly simplified, the model contains the minimal molecular features that are sufficient to observe liquid-liquid phase separation of soluble polymers. -
The Nucleolus As a Multiphase Liquid Condensate
REVIEWS The nucleolus as a multiphase liquid condensate Denis L. J. Lafontaine 1 ✉ , Joshua A. Riback 2, Rümeyza Bascetin 1 and Clifford P. Brangwynne 2,3 ✉ Abstract | The nucleolus is the most prominent nuclear body and serves a fundamentally important biological role as a site of ribonucleoprotein particle assembly, primarily dedicated to ribosome biogenesis. Despite being one of the first intracellular structures visualized historically, the biophysical rules governing its assembly and function are only starting to become clear. Recent studies have provided increasing support for the concept that the nucleolus represents a multilayered biomolecular condensate, whose formation by liquid–liquid phase separation (LLPS) facilitates the initial steps of ribosome biogenesis and other functions. Here, we review these biophysical insights in the context of the molecular and cell biology of the nucleolus. We discuss how nucleolar function is linked to its organization as a multiphase condensate and how dysregulation of this organization could provide insights into still poorly understood aspects of nucleolus-associated diseases, including cancer, ribosomopathies and neurodegeneration as well as ageing. We suggest that the LLPS model provides the starting point for a unifying quantitative framework for the assembly, structural maintenance and function of the nucleolus, with implications for gene regulation and ribonucleoprotein particle assembly throughout the nucleus. The LLPS concept is also likely useful in designing new therapeutic strategies to target nucleolar dysfunction. Protein trans-acting factors Among numerous microscopically visible nuclear sub- at the inner core where rRNA transcription occurs and Proteins important for structures, the nucleolus is the most prominent and proceeding towards the periphery (Fig. -
Pak 2016, Sequence Determinants of Intracellular Phase Separation By
Article Sequence Determinants of Intracellular Phase Separation by Complex Coacervation of a Disordered Protein Graphical Abstract Authors Chi W. Pak, Martyna Kosno, Alex S. Holehouse, ..., David R. Liu, Rohit V. Pappu, Michael K. Rosen Correspondence [email protected] (R.V.P.), [email protected] (M.K.R.) In Brief Pak et al. describe cellular liquid-liquid phase separation of a negatively charged intrinsically disordered protein, the Nephrin intracellular domain. Phase separation is driven by co-assembly with positively charged partners, a process termed complex coacervation. Disordered regions with NICD-like sequence features are common in the human proteome, suggesting complex coacervation may be widespread. Highlights d Disordered Nephrin intracellular domain (NICD) forms phase- separated nuclear bodies d NICD phase separates via complex coacervation d Aromatic/hydrophobic residues and high (À) charge density promote phase separation d Disordered regions with NICD-like sequence features are common in human proteome Pak et al., 2016, Molecular Cell 63, 72–85 July 7, 2016 ª 2016 Elsevier Inc. http://dx.doi.org/10.1016/j.molcel.2016.05.042 Molecular Cell Article Sequence Determinants of Intracellular Phase Separation by Complex Coacervation of a Disordered Protein Chi W. Pak,1 Martyna Kosno,1 Alex S. Holehouse,2,3 Shae B. Padrick,1 Anuradha Mittal,3 Rustam Ali,1 Ali A. Yunus,1 David R. Liu,4 Rohit V. Pappu,3,* and Michael K. Rosen1,* 1Department of Biophysics and Howard Hughes Medical Institute, UT Southwestern Medical Center, Dallas, TX 75390, USA 2Computational and Molecular Biophysics Graduate Program, Washington University in St. Louis, St. Louis, MO 63130, USA 3Department of Biomedical Engineering and Center for Biological Systems Engineering, Washington University in St.