Reverse-time analysis uncovers universality classes in directional biological dynamics
2023-04-09 | preprint. A publication with affiliation to the University of Göttingen.
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- Authors
- Lenner, Nicolas; Eule, Stephan; Großhans, Jörg; Wolf, Fred
- Abstract
- Mesoscopic bio-systems typically evolve towards functionally important target states, such as cell-cycle checkpoints or decision boundaries for the release of specific behaviors. For the data-driven inference of the underlying directional out-of-equilibrium dynamics, we here develop a theory of target state aligned (TSA) ensembles. Target state alignment allows to analyze directional dynamics in reverse time, starting from the final conditions of the forward process. Knowledge about the initial conditions of the forward process is not required for the analysis. Our theory reveals whether and when such a system can be represented by a single, effective stochastic equation of motion. We show how, in these effective dynamics, genuine biological forces can be separated from spurious forces, which invariably arise from target state alignment. We apply our inference scheme to the example of cytokinetic ring constriction, and derive the universal low-noise and short-term behavior of TSA ensembles. Our theory establishes a transparent mathematical foundation for the analysis and inference of directed biological dynamics by target state alignment.
- Issue Date
- 9-April-2023
- Project
- SFB 1286: Quantitative Synaptologie
SFB 1286 | C02: Aktive Zonendesigns und -dynamiken, die auf das synaptische Arbeitsgedächtnis zugeschnitten sind
EXC 2067: Multiscale Bioimaging
SFB 1528: Kognition der Interaktion - Organization
- Max-Planck-Institut für Dynamik und Selbstorganisation ; Deutsches Primatenzentrum ; Campus Institut für Dynamik biologischer Netzwerke ; Max-Planck-Institut für Multidisziplinäre Naturwissenschaften ; Institut für Dynamik komplexer Systeme ; Bernstein Center for Computational Neuroscience Göttingen ; Center for Biostructural Imaging of Neurodegeneration
- Working Group
- RG Wolf
- Language
- English