Dynamics in Biology

Cells are the fundamental units of life. A cell’s ability to replicate, grow, divide, and interact with its environment lies at the heart of every organism. These basic biological processes are precisely regulated in space and time by a complex and dynamic network of interacting genes, RNAs, and proteins.

Our lab aims at providing a simpler view of this incredible biological complexity, primarily focusing on the regulation of cell division. We believe that understanding the system dynamics is essential to achieving this goal. The dynamical interaction of proteins can lead to robust systems-level behavior, for example, the irreversible cellular decision to divide. Different sets of proteins often interact in similar ways to generate the same function (e.g., an irreversible switch), underscoring the relevance of a generic dynamical view of biology.

In our studies we glean techniques from physics and mathematics, such as the theory of nonlinear dynamics and complex systems, which allows us to theoretically analyze the spatiotemporal dynamics of molecules inside cells. This approach is complemented by molecular and cellular experiments, in which we test our hypotheses by controllably perturbing biological processes in model organisms such as Xenopus frogs, zebrafish, and mammalian cells. This synergistic approach is geared toward understanding how cells are regulated in space and time. In the long-term we believe that a functional understanding of a cell’s most basic processes will contribute to developing new therapeutic strategies to combat diseases such as cancer.

Selected publications


Prokop, B.; Frolov, N.; Gelens, L.

Enhancing model identification with SINDy via nullcline reconstruction Forthcoming

In: Chaos: An Interdisciplinary Journal of Nonlinear Science, Forthcoming.

Links | BibTeX


Cebrián-Lacasa, D.; Leda, M.; Goryachev, A. B.; Gelens, L.

Wave-driven phase wave patterns in a ring of FitzHugh-Nagumo oscillators

2024, visited: 23.04.2024.

Links | BibTeX


Cebrián-Lacasa, D.; Parra-Rivas, P.; Ruiz-Reynés, D.; Gelens, L.

Six decades of the FitzHugh-Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines

2024, visited: 17.04.2024.

Links | BibTeX


Puls*, O.; Ruiz-Reynés*, D.; Tavella, F.; Jin, M.; Kim, Y.; Gelens*, L.; Yang*, Q.

Mitotic waves in frog egg extracts: Transition from phase waves to trigger waves

2024, visited: 23.01.2024.

Links | BibTeX


Ruiz-Reynés, D.; Mayol, E.; Sintes, T.; Hendriks, I. E; Hernández-García, E.; Duarte, C. M; Marbà, N.; Gomila, D.

Self-organized sulfide-driven traveling pulses shape seagrass meadows

In: Proceedings of the National Academy of Sciences, vol. 120, iss. 3, pp. e2216024120, 2023.

Abstract | Links | BibTeX


Moreno-Spiegelberg, P.; Arinyo-i-Prats, A.; Ruiz-Reynés, D.; Matias, M. A.; Gomila, D.

Bifurcation structure of traveling pulses in type-I excitable media

In: Physical Review E, vol. 106, iss. 3, pp. 034206, 2022.

Abstract | Links | BibTeX


Nolet, F. E. *; Vandervelde, A. *; Vanderbeke, A. *; Pineros, L. *; Chang, J. B.; Gelens, L.

Nuclei determine the spatial origin of mitotic waves

In: eLife, vol. 9, pp. e52868, 2020, ISSN: 2050-084X.

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Gelens, L.; Qian, J.; Bollen, M.; Saurin, A. T.

The Importance of Kinase–Phosphatase Integration: Lessons from Mitosis

In: Trends in Cell Biology, vol. 28, iss. 1, pp. 6-21, 2017, ISSN: 0962-8924.

Links | BibTeX


Anderson*, G. A.; Gelens*, L.; Baker, J.; Ferrell, J. E. Jr.

Desynchronizing Embryonic Cell Division Waves Reveals the Robustness of Xenopus laevis Development

In: Cell Reports, vol. 21, iss. 1, pp. 37–46, 2017, (featured on the cover).

Links | BibTeX


Gelens, L.; Anderson, G. A.; Jr., J. E. Ferrell

Spatial trigger waves: positive feedback gets you a long way

In: Molecular Biology of the Cell, vol. 25, no. 22, pp. 3486–3493, 2014, ISSN: 1059-1524, 1939-4586.

Abstract | Links | BibTeX