2025

Kowalski Adam K., Piros Tomasz, Bloński sławomir, Kurniawan Tetuko, Korczyk Piotr M., Hołyst Robert , Microfluidic-based platform for the semi-automated study of concentration, diffusion, and equilibrium binding of biomolecules , CHEMICAL ENGINEERING JOURNAL 2025

Hołyst Robert, Wróbel Jakub, Andryszewski Tomasz, Giżyński Konrad, Maciołek Anna, Żuk Paweł J. , Global stability of steady states in chemical reactors , CHEMICAL ENGINEERING JOURNAL 2025

Amiri Masoud, Golmohammadi Farhad, Pure Ali Ebrahimi, Abbas Muhamed Aydin, Safari Meysam , Porous manganese oxide composite for high-performance electrochemical energy storage , INTERNATIONAL JOURNAL OF HYDROGEN ENERGY 2025

Borkenhagen Aleksandra, Wolska-Pietkiewicz Małgorzata, Bińkiewicz Ilona, Richter Łukasz, Zbonikowski Rafał, Paczesny Jan, Lewiński Janusz , Unraveling the Influence of the Anchored Headgroup and Ligand Tail Group Length on the Self-Assembly of ZnO NCs at the Air-Water Interface , ACS APPLIED MATERIALS & INTERFACES 2025

Zgorzelska Alicja, Magiera Aneta, Pilz Marta, Kwapiszewska Karina, Hołyst Robert , Changes of nanoviscosity during TRAIL-induced apoptosis of HeLa cells , CELL REPORTS PHYSICAL SCIENCE 2025

Aneta Magiera Karolina Kucharska Tomasz Kalwarczyk Patrycja Haniewicz Karina Kwapiszewska Robert Hołyst , Measurement of large ribosomal subunit size in cytoplasm and nucleus of living human cells , Nanoscale Horizons 2025

Orzel-Gajowik Karolina, Milewski Krzysztof, Obara-Michlewska Marta, Ellert-Miklaszewska Aleksandra, Magiera Aneta, Kwapiszewska Karina, Zielińska Magdalena , Unraveling Ammonia-Induced Brain Endothelial Senescence: Role of miRNA-183-5p , ANTIOXIDANTS AND REDOX SIGNALING 2025

Marta Pilz Tomasz Kalwarczyk Krzysztof Burdzy Robert Hołyst , Quantitative analysis of transferrin uptake into living cells at single-molecule level , Talanta 2025

Sakshi Sareen Alicja Zgorzelska Karina Kwapiszewska Robert Hołyst , Starvation induces diffusion hindrance at the nanoscale in mammalian cells , Nanoscale 2025

Amiri Masoud, Golmohammadi Farhad, Pure Ali Ebrahimi, Safari Meysam, Abbas Muhamed Aydin , Engineering iron-nickel nanostructures on the surface of functionalized nitrogen-doped graphene composite for high-performance supercapacitors , JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS 2025

Wdowiak Mateusz, Magiera Aneta, Tomczyńska Magdalena, Adamkiewicz Witold, Stellacci Francesco, Paczesny Jan , Protecting bacteriophages under UV irradiation with brilliant blue FCF for targeted bacterial control , BIOFILM 2025

Raza Sada, Bończak Bartłomiej, Atamas Nataliia, Karpińska Aneta, Ratajczyk Tomasz, Łoś Marcin, Hołyst Robert, Paczesny Jan , The activity of indigo carmine against bacteriophages: an edible antiphage agent , APPLIED MICROBIOLOGY AND BIOTECHNOLOGY 2025

Everts Jeffrey C., Hołyst Robert, Makuch Karol , Brownian motion at various length scales with hydrodynamic and direct interactions , PHYSICS OF FLUIDS 2025

Giżyński Konrad, Makuch Karol, Paczesny Jan, Zuk Paweł, Maciołek Anna, Hołyst Robert , The internal energy as a function of state parameters in steady and unsteady Poiseuille flows , JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS 2025

Ahmad Shakeel, Foik Ilona P., Jankowski Paweł, Samborski Adam, Vasantham Shreyas K., Garstecki Piotr , Ciprofloxacin pre-exposure influences individual cell MIC and heteroresistance of bacteria inside microfluidic droplets , SCIENTIFIC REPORTS 2025

Shahryari Shahab, Ahmad Shakeel, Foik Ilona Paulina, Jankowski Paweł, Samborski Adam, Równicki Marcin, Vasantham Shreyas Kandhadai, Garstecki Piotr , Bacterial strain type and TEM-1 enzyme allele impact antibiotic susceptibility distribution in monoclonal populations: a single-cell droplet approach , ROYAL SOCIETY OPEN SCIENCE 2025

Aami Maryam, Farhoodi Mehdi, Pure Ali Ebrahimi, Jahromi Soodeh Razaghi, Nasirpoor Ali , Rheological and Physicochemical Properties of a Functional Apple Drink and Its Clinical Impact on Dysphagia Management , JOURNAL OF TEXTURE STUDIES 2025

Brookes Emre, Żuk Paweł J., Rocco Mattia , Bead model hydrodynamics: an in-depth comparison between GRPY and ZENO , EUROPEAN BIOPHYSICS JOURNAL 2025

Vilfan Andrej, Cichocki Bogdan, Everts Jeffrey C. , Stokes drag on a sphere in a three-dimensional anisotropic porous medium , PHYSICAL REVIEW E 2025

Hołyst R., Giżyński K., Maciołek A., Makuch K., Wróbel J., Żuk P. J. , Global non-equilibrium thermodynamics for steady states like never before , Europhysics Letters 2025

Squarcini Alessio, Nowakowski Piotr, Abraham Douglas B., Maciołek Anna , Partition function for several Ising model interface structures , EUROPEAN PHYSICAL JOURNAL B 2025

2024

Henrique Filipe; Żuk Paweł J.; Gupta Ankur , A network model to predict ionic transport in porous materials , PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA , 2024, 121, 22, e2401656121

Braniewska Agata; Skórzyński Marcin; Sas Zuzanna; Dlugołęcka Magdalena; Marszalek Ilona; Kurpiel Daria; Buhler Marcel; Strzemecki Damian; Magiera Aneta; Bialasek Maciej; Walczak Jarosław; Cheda Łukasz; Komorowski Michał; Weiss Tobias; Czystowska-Kuzmicz Małgorzata; Kwapiszewska Karina; Boffi Alberto; Krol Magdalena; Rygiel Tomasz P. , A novel process for transcellular hemoglobin transport from macrophages to cancer cells , CELL COMMUNICATION AND SIGNALING , 2024, 22, 1, 570

Everts Jeffrey C.; Cichocki Bogdan , Dissipative Effects in Odd Viscous Stokes Flow around a Single Sphere , PHYSICAL REVIEW LETTERS , 2024, 132, 21, 218303

Sareen Sakshi; Zgorzelska Alicja; Kwapiszewska Karina; Hołyst Robert , Starvation induces diffusion hindrance at the nanoscale in mammalian cells , NANOSCALE , 2024, 17, 1, 378- 389

Poniewierski Andrzej; Hołyst Robert , Analytical Form of the Fluorescence Correlation Spectroscopy Autocorrelation Function in Chemically Reactive Systems , JOURNAL OF CHEMICAL THEORY AND COMPUTATION , 2024, 20, 7, 2830- 2841

Hołyst Robert; Bubak Grzegorz; Kalwarczyk Tomasz; Kwapiszewska Karina; Michalski Jarosław; Pilz Marta , Living Cell as a Self-Synchronized Chemical Reactor , JOURNAL OF PHYSICAL CHEMISTRY LETTERS , 2024, 15, 13, 3559- 3570

Jamil Huma; Faizan Muhammad; Adeel Muhammad; Jesionowski Teofil; Boczkaj Grzegorz; Balciunaite Aldona , Recent Advances in Polymer Nanocomposites: Unveiling the Frontier of Shape Memory and Self-Healing Properties-A Comprehensive Review , MOLECULES , 2024, 29, 6, 1267

Makuch Karol , Tailoring the first law of thermodynamics for convective flows , PHYSICS OF FLUIDS , 2024, 36, 11, 111701

Kwapiszewska Karina , Physicochemical Perspective of Biological Heterogeneity , ACS PHYSICAL CHEMISTRY AU , 2024, 4, 4, 314- 321

Jamil Huma; Faizan Muhammad , Facile synthesis of ZnO nanoparticles using Nigella Sativa extract and its role as catalyst in production of bio-oil and degradation of methylene blue dye , HELIYON , 2024, 10, 16, e35828

Salehtash Farnoush; Annusova Adriana; Stepura Anastasiia; Soyka Yaryna; Halahovets Yuriy; Hofbauerova Monika; Micusik Matej; Kotlar Mario; Nadazdy Peter; Albrycht Paweł; Siffalovic Peter; Jergel Matej; Omastova Maria; Majkova Eva , SERS Performance of Ti3C2Tx MXene-Based Substrates Correlates with Surface Morphology , MATERIALS , 2024, 17, 6, 1385

Surynt Piotr; Wojtczak Blazej A.; Chromiński Mikolaj; Panecka-Hofman Joanna; Kwapiszewska Karina; Kalwarczyk Tomasz; Kubacka Dorota; Spiewla Tomasz; Kasprzyk Renata; Hołyst Robert; Kowalska Joanna; Jemielity Jacek , Trimethylguanosine cap-fluorescent molecular rotor (TMG-FMR) conjugates are potent, specific snurportin1 ligands enabling visualization in living cells , ORGANIC & BIOMOLECULAR CHEMISTRY , 2024, 22, 33, 6763- 6790

Michalski Jarosław; Kalwarczyk Tomasz; Kwapiszewska Karina; Enderlein Joerg; Poniewierski Andrzej; Karpińska Aneta; Kucharska Karolina; Hołyst Robert , Rotational and translational diffusion of biomolecules in complex liquids and HeLa cells , SOFT MATTER , 2024, 20, 29, 5810- 5821

Abraham D. B.; Maciołek A.; Squarcini A. , Wetting and emergence of long-range couplings in arrays of fluid cells , PHYSICAL REVIEW E , 2024, 109, 5, 54121

Ahmad Farooq; Asim Muhammad; Mubashar Saba; Shahzad Amir; Ul Ain Qurat; Khan Muhammad Ahmed; Atiq Shahid; Adnan Muhammad; Jamil Huma; Qayyum Abdul; Shahbaz Kanwal; Danish Muhammad , Revolutionizing energy storage: A critical appraisal of MXene-based composites for material designing and efficient performance , JOURNAL OF ENERGY STORAGE , 2024, 84, 110757

Wang Gan; Nowakowski Piotr; Bafi Nima Farahmand; Midtvedt Benjamin; Schmidt Falko; Callegari Agnese; Verre Ruggero; Kall Mikael; Dietrich S.; Kondrat Svyatoslav; Volpe Giovanni , Nanoalignment by critical Casimir torques , NATURE COMMUNICATIONS , 2024, 15, 1, 5086

Nowakowski Piotr; Bafi Nima Farahmad; Volpe Giovanni; Kondrat Svyatoslav; Dietrich S. , Critical Casimir levitation of colloids above a bull's-eye pattern , JOURNAL OF CHEMICAL PHYSICS , 2024, 161, 21, 214114

Rangam Neha; Sudagar Alcina; Koronkiewicz Roksana; Borowicz Paweł; Toth Jozsef; Kover Laszlo; Michałowska Dorota; Roszko Marek; Pilz Marta; Kwapiszewska Karina; Lesiak-Orlowska Beata , Surface and composition effects on the biphasic cytotoxicity of nanocomposites synthesized using leaf extracts , INTERNATIONAL JOURNAL OF BIOLOGICAL MACROMOLECULES , 2024, 276, 133723

Khan Faria; Kwapiszewska Karina; Romero Alicia M.; Rudziński Krzysztof; Gil-Casanova Domingo; Surratt Jason D.; Szmigielski Rafał , Evidence for cytotoxicity and mitochondrial dysfunction in human lung cells exposed to biomass burning aerosol constituents: Levoglucosan and 4-nitrocatechol , ENVIRONMENTAL POLLUTION , 2024, 363, 125173

Atamas N.; Raza Sada; Paczesny Jan; Karpińska Aneta; Yablochkova K. S.; Lazarenko M. M. , Competition between indigo carmine and water in the formation of dynamics behavior at different temperatures , DYES AND PIGMENTS , 2024, 226, 112146

Hołyst Robert; Żuk Paweł J.; Maciołek Anna; Makuch Karol; Giżyński Konrad , Direction of Spontaneous Processes in Non-Equilibrium Systems with Movable/Permeable Internal Walls , ENTROPY , 2024, 26, 8, 713

2023

van der Linden, Marjolein N.; Everts, Jeffrey C.; van Roij, Rene; van Blaaderen, Alfons

Realization of the Brazil-nut effect in charged colloids without external driving

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

2023  120, 9, e2213044120

.

Ahmad, Farooq; Zahid, Muhammad; Jamil, Huma; Khan, Muhammad Ahmed; Atiq, Shahid; Bibi, Mubashira; Shahbaz, Kanwal; Adnan, Muhammad; Danish, Muhammad; Rasheed, Fazal; Tahseen, Hira; Shabbir, Muhammad Jamshaid; Bilal, Muhammad; Samreen, Ayesha

Advances in graphene-based electrode materials for high-performance supercapacitors: A review

JOURNAL OF ENERGY STORAGE 2023  72, 108731

.

Dao, Chau; Everts, Jeffrey C.; Ravnik, Miha; Tserkovnyak, Yaroslav

Nematronics: Reciprocal Coupling between Ionic Currents and Nematic Dynamics

PHYSICAL REVIEW LETTERS 2023 130, 16, 168102

.

David Gendron, Grzegorz  Bubak

Carbon Nanotubes and Graphene Materials as Xenobiotics in Living Systems: Is There a Consensus on Their Safety?

JOURNAL OF XENOBIOTICS 2023 13(4), 740-760

.

Karpinska, Aneta; Magiera, Gawel; Kwapiszewska, Karina; Holyst, Robert

Cellular Uptake of Bevacizumab in Cervical and Breast Cancer Cells Revealed by Single-Molecule Spectroscopy

JOURNAL OF PHYSICAL CHEMISTRY LETTERS 2023 14, 5, 1272-1278

.

Sareen, Sakshi; Wisniewska, Agnieszka; Kwapiszewska, Karina; Holyst, Robert

Comment on Fluorimetric sensing of ATP in water by an imidazolium hydrazone based sensor'' by S. Farshbaf and P. Anzenbacher Jr., Chem. Commun., 2019, 55, 1770

CHEMICAL COMMUNICATIONS 2023  59, 35, 5293-5295

.

Makuch, Karol,  Holyst, Robert,  Gizynski, Konrad,  Maciolek, Anna,  Zuk, Pawel J

Steady-state thermodynamics of a system with heat and mass flow coupling

JOURNAL OF CHEMICAL PHYSICS 2023  159 (19), 194113

.

Zbonikowski, Rafal; Iwan, Michalina; Paczesny, Jan

Stimuli-Responsive Langmuir Films Composed of Nanop s Decorated with Poly(N-isopropyl acrylamide) (PNIPAM) at the Air/Water Interface

ACS OMEGA 2023   8, 26

.

Zajkowska-Pietrzak, Wiktoria; Turczynski, Jakub; Kret, Slawomir; Andryszewski, Tomasz; Suffczynski, Jan; Reszka, Anna; Stachowicz, Marcin; Wierzbicka, Aleksandra; Fronc, Krzysztof; Teisseyre, Henryk

Carbon Oxide Decomposition as a Novel Technique for Ultrahigh Quality ZnO Nanowire Crystallization

CRYSTAL GROWTH & DESIGN 2023  23, 9, 6442-6449

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Rathod, Jagannath; Moram, Sree Satya Bharati; Chandu, Byram; Albrycht, Pawel; Soma, Venugopal Rao

Single-step fabrication of hybrid germanium-gold/silver nanoentities by femtosecond laser ablation and applications in SERS-based sensing

NANOTECHNOLOGY 2023  34, 40, 405301

.

Vasilyev, Oleg A.; Maciolek, Anna; Dietrich, S.

Sensitivity of the thermodynamics of two-dimensional systems towards the topological classes of their surfaces

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 2023  624, 128960

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Holyst, Robert; Zuk, Pawel J.; Makuch, Karol; Maciolek, Anna; Gizynski, Konrad

Fundamental Relation for the Ideal Gas in the Gravitational Field and Heat Flow

ENTROPY 2023  25, 11, 1483

.

Holyst, Robert; Makuch, Karol; Gizynski, Konrad; Maciolek, Anna; Zuk, Pawel J.

Fundamental Relation for Gas of Interacting P s in a Heat Flow

ENTROPY 2023 25, 9, 1295

.

Maciolek, Anna; Holyst, Robert; Makuch, Karol; Gizynski, Konrad; Zuk, Pawel J.; Martyushev, Leonid M.

Parameters of State in the Global Thermodynamics of Binary Ideal Gas Mixtures in a Stationary Heat Flow

ENTROPY 2023  25, 11, 1505

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Ochirbat, Enkhlin; Zbonikowski, Rafal; Sulicka, Anna; Bonczak, Bartlomiej; Bonarowska, Magdalena; Los, Marcin; Malinowska, Elzbieta; Holyst, Robert; Paczesny, Jan       

Heteroaggregation of virions and microplastics reduces the number of active bacteriophages in aqueous environments

JOURNAL OF ENVIRONMENTAL QUALITY 2023  52, 3, 665-677

.

Nowakowski, Piotr; Stumpf, Bernd Henning; Smith, Ana-Suncana; Maciolek, Anna

Demixing of homogeneous binary lipid membranes induced by protein inclusions

PHYSICAL REVIEW E 2023 107, 5, 54120

2022

Bielec, K., Kowalski, A., Bubak, G., Witkowska Nery, E., & Hołyst, R.
Ion Complexation Explains Orders of Magnitude Changes in the Equilibrium Constant of Biochemical Reactions in Buffers Crowded by Nonionic Compounds.
The Journal of Physical Chemistry Letters,  https://doi.org/10.1021/ACS.JPCLETT.1C03596

Araki, T., Gomez-Solano, J. R., & Maciołek, A. 
Relaxation to steady states of a binary liquid mixture around an optically heated colloid.
Physical Review E,  https://doi.org/10.1103/PhysRevE.105.014123

Khan, F., Jaoui, M., Rudziński, K., Kwapiszewska, K., Martinez-Romero, A., Gil-Casanova, D., Lewandowski, M., Kleindienst, T. E., Offenberg, J. H., Krug, J. D., Surratt, J. D., & Szmigielski, R.
Cytotoxicity and oxidative stress induced by atmospheric mono-nitrophenols in human lung cells.
Environmental Pollution,  https://doi.org/10.1016/J.ENVPOL.2022.119010

Żuk, P. J., Makuch, K., Hołyst, R., & Maciołek, A.  Transient dynamics in the outflow of energy from a system in a nonequilibrium stationary state.
Physical Review E,  https://doi.org/10.1103/PhysRevE.105.054133

Żuk, P. J. 
A brief introduction to contemporary electrokinetics.
Contemporary Physics, https://doi.org/10.1080/00107514.2022.2072565

Karpińska, A., Zgorzelska, A., Kwapiszewska, K., & Hołyst, R.
Entanglement of polymer chains in hypertonic medium enhances the delivery of DNA and other biomacromolecules into cells.
Journal of Colloid and Interface Science, https://doi.org/10.1016/J.JCIS.2022.07.040

Yasmeen, N., Karpinska, A., Kalecki, J., Kutner, W., Kwapiszewska, K., & Sharma, P. S.

Electrochemically Synthesized Polyacrylamide Gel and Core–Shell Nanoparticles for 3D Cell Culture Formation.

ACS Applied Materials & Interfaces, https://doi.org/10.1021/ACSAMI.2C04904

Pacocha, N., Zapotoczna, M., Makuch, K., Bogusławski, J., & Garstecki, P.
You will know by its tail: a method for quantification of heterogeneity of bacterial populations using single-cell MIC profiling.
Lab on a Chip, https://doi.org/10.1039/D2LC00234E

Kowalski, A., Bielec, K., Bubak, G., Żuk, P. J., Czajkowski, M., Sashuk, V., Huck, W. T. S., Antosiewicz, J. M., & Hołyst, R.
Effective screening of Coulomb repulsions in water accelerates reactions of like-charged compounds by orders of magnitude.
Nature Communications, https://doi.org/10.1038/s41467-022-34182-z
The reaction speed of like-charged compounds in water is extremely slow due to Coulomb repulsions. Here, the authors boost kinetics up to 5 million times by screening these interactions and increasing the local concentration of reactants using positively charged micelles. They show the effect of two independent systems and present a theoretical explanation.

2021

Richter, Ł., Księżarczyk, K., Paszkowska, K., Janczuk-Richter, M., Niedziółka-Jönsson, J., Gapiński, J., Łoś, M., Hołyst, R., & Paczesny, J.
Adsorption of bacteriophages on polypropylene labware affects the reproducibility of phage research.
Scientific Reports, https://doi.org/10.1038/s41598-021-86571-x

Everts, J. C., & Ravnik, M.
Ionically Charged Topological Defects in Nematic Fluids.
Physical Review X, https://doi.org/10.1103/PhysRevX.11.011054

Agasty, A., Wisniewska, A., Kalwarczyk, T., Koynov, K., & Holyst, R.
Macroscopic Viscosity of Polymer Solutions from the Nanoscale Analysis.
ACS Appl. Polym. Mater., https://doi.org/10.1021/acsapm.1c00348

Kucharska, K., Pilz, M., Bielec, K., Kalwarczyk, T., Kuźma, P., & Hołyst, R.
Two Intercalation Mechanisms of Oxazole Yellow Dimer (YOYO-1) into DNA.
Molecules, https://doi.org/10.3390/molecules26123748

Kleczewska, N., Sikorski, P. J., Warminska, Z., Markiewicz, L., Kasprzyk, R., Baran, N., Kwapiszewska, K., Karpinska, A., Michalski, J., Holyst, R., Kowalska, J., & Jemielity, J.
Cellular delivery of dinucleotides by conjugation with small molecules: targeting translation initiation for anticancer applications.
Chemical Science, https://doi.org/10.1039/D1SC02143E

Al-Otaibi, J. S., Albrycht, P., Mary, Y. S., Mary, Y. S., & Księżopolska-Gocalska, M.

Concentration-dependent SERS profile of olanzapine on silver and silver-gold metallic substrates.

Chemical Papers, https://doi.org/10.1007/S11696-021-01783-9 

Kalwarczyk, T., Bielec, K., Burdzy, K., & Holyst, R.

Influence of molecular rebindings on the reaction rate of complex formation.

Physical Chemistry Chemical Physics, https://doi.org/10.1039/D1CP02820K

Al-Otaibi, J. S., Albrycht, P., Mary, Y. S., Mary, Y. S., & Księżopolska-Gocalska, M.

Concentration-dependent SERS profile of olanzapine on silver and silver-gold metallic substrates.

Chemical Papers, https://doi.org/10.1007/S11696-021-01783-9

Albrycht, P., Al-Otaibi, J. S., Mary, Y. S., Mary, Y. S., Trivedi, R., & Chakraborty, B.

Surface enhanced Raman scattering investigation of pioglitazone on silver and silver-gold metal substrates – Experimental analysis and theoretical modeling.

Journal of Molecular Structure, https://doi.org/10.1016/J.MOLSTRUC.2021.130992

Richter, Ł., Paszkowska, K., Cendrowska, U., Olgiati, F., Silva, P., Gasbarri, M., Guven, P., Paczesny, J., & Stellacci, F.
Broad-spectrum nanoparticles against bacteriophage infections.
Nanoscale, https://doi.org/10.1039/D1NR04936D

Aneta Karpińska, Marta Pilz, Joanna Buczkowska, J. Żuk, P., Karolina Kucharska, Gaweł Magiera, Karina Kwapiszewska, & Robert Hołyst
Quantitative analysis of biochemical processes in living cells at a single-molecule level: a case of olaparib–PARP1 (DNA repair protein) interactions.
Analyst, https://doi.org/10.1039/D1AN01769A

Stumpf, B. H., Nowakowski, P., Eggeling, C., Maciołek, A., & Smith, A.-S.
Protein induced lipid demixing in homogeneous membranes.
Physical Review Research, https://doi.org/10.1103/PhysRevResearch.3.L042013

Gizynski, K., Makuch, K., Paczesny, J., Zhang, Y., Maciołek, A., & Holyst, R.
Internal energy in compressible Poiseuille flow.
Physical Review E,  https://doi.org/10.1103/PhysRevE.104.055107