Field theory of enzyme-substrate systems with restricted long-range interactions
Olmeda F, Rulands S. 2024. Field theory of enzyme-substrate systems with restricted long-range interactions. Physical Review E. 110(2), 024404.
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Author
Olmeda, FabrizioISTA;
Rulands, Steffen
Department
Abstract
Enzyme-substrate kinetics form the basis of many biomolecular processes. The interplay between substrate binding and substrate geometry can give rise to long-range interactions between enzyme binding events. Here we study a general model of enzyme-substrate kinetics with restricted long-range interactions described by an exponent −𝛾. We employ a coherent-state path integral and renormalization group approach to calculate the first moment and two-point correlation function of the enzyme-binding profile. We show that starting from an empty substrate the average occupancy follows a power law with an exponent 1/(1−𝛾) over time. The correlation function decays algebraically with two distinct spatial regimes characterized by exponents −𝛾 on short distances and −(2/3)(2−𝛾) on long distances. The crossover between both regimes scales inversely with the average substrate occupancy. Our work allows associating experimental measurements of bound enzyme locations with their binding kinetics and the spatial conformation of the substrate.
Publishing Year
Date Published
2024-08-01
Journal Title
Physical Review E
Acknowledgement
We thank F. Piazza, M. Henkel, and F. Jülicher for helpful feedback and the entire Rulands group for fruitful discussions. We thank W. Reik, S. Clark, T. Lohoff, and I. Kafetzopoulos for fruitful discussions about the biological aspects of this work. This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (Grant No. 950349). This project has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant No. 101034413.
Volume
110
Issue
2
Article Number
024404
ISSN
eISSN
IST-REx-ID
Cite this
Olmeda F, Rulands S. Field theory of enzyme-substrate systems with restricted long-range interactions. Physical Review E. 2024;110(2). doi:10.1103/PhysRevE.110.024404
Olmeda, F., & Rulands, S. (2024). Field theory of enzyme-substrate systems with restricted long-range interactions. Physical Review E. American Physical Society. https://doi.org/10.1103/PhysRevE.110.024404
Olmeda, Fabrizio, and Steffen Rulands. “Field Theory of Enzyme-Substrate Systems with Restricted Long-Range Interactions.” Physical Review E. American Physical Society, 2024. https://doi.org/10.1103/PhysRevE.110.024404.
F. Olmeda and S. Rulands, “Field theory of enzyme-substrate systems with restricted long-range interactions,” Physical Review E, vol. 110, no. 2. American Physical Society, 2024.
Olmeda F, Rulands S. 2024. Field theory of enzyme-substrate systems with restricted long-range interactions. Physical Review E. 110(2), 024404.
Olmeda, Fabrizio, and Steffen Rulands. “Field Theory of Enzyme-Substrate Systems with Restricted Long-Range Interactions.” Physical Review E, vol. 110, no. 2, 024404, American Physical Society, 2024, doi:10.1103/PhysRevE.110.024404.
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