Mathematical bioPhysics

Mathematical bioPhysics

We develop and apply the methods of mathematical physics and the theory of stochastic processes to study phenomena in biophysics. Our main research focus is currently the non-equilibrium statistical mechanics of single molecules. In particular, we aim at a trajectory-based description of macromolecular conformation dynamics as well as of their spatial transport, binding, and reactions. In our work we employ a combination of rigorous analysis corroborated by computer simulations.

Press releases & research news

Cell Adhesion Explained Through Many-Body Physics

Kristian Blom and Aljaž Godec at the MPI for Biophysical Chemistry successfully exploited the Ising model – which was originally used to describe ferromagnetism – to understand how the avidity of adhesion receptors and the strength of cellular adhesion can be regulated by mechanics. more

<span>Warming is faster than cooling if objects are sufficiently small</span>

Sufficiently small systems warm up faster than they cool down. Aljaz Godec and Allesio Lapolla have now mathematically proven this unforeseen asymmetry. They have shown that the counterplay of potential energy and entropy in the system, which warms up, is less of an obstacle on return to thermodynamic equilibrium.  more

10 most recent papers

Dieball, C.; Godec, A.
Direct Route to Thermodynamic Uncertainty Relations
submitted on Aug 12, 2022: arXiv:2208.06402 [cond-mat.stat-mech]
Dieball, C.; Godec, A.
On correlations and fluctuations of time-averaged densities and currents with general time-dependence
submitted on Aug 10, 2022: arXiv:2208.05460 [cond-mat.stat-mech]
Dieball, C.; Godec, A.
Coarse graining empirical densities and currents in continuous-space steady states
Physical Review Research, article in press (2022)
Dieball, C.; Godec, A.
Mathematical, Thermodynamical, and Experimental Necessity for Coarse Graining Empirical Densities and Currents in Continuous Space
Physical Review Letters, article in press (2022)
Dieball, C.; Godec, A.
Feynman-Kac theory of time-integrated functionals: Itô versus functional calculus
submitted on June 8 2022: arXiv:2206.04034 [cond-mat.stat-mech]
Dieball, C.; Krapf, D.; Weiss, M.; Godec, A.: Scattering fingerprints of two-state dynamics. New Journal of Physics 24, 023004 (2022)
Zunke, C.; Bewerunge, J.; Platten, F.; Egelhaaf , S. U.; Godec, A.: First-passage statistics of colloids on fractals: Theory and experimental realization. Science Advances 8 (3), eabk0627 (2022)
Hartich, D.; Godec, A.: Emergent memory and kinetic hysteresis in strongly driven networks. Physical Review X 11 (4), 041047 (2021)
Hartich, D; Godec,  A.
Violation of Local Detailed Balance Despite a Clear Time-Scale Separation
submitted on Nov 29, 2021: arXiv:2111.14734 [cond-mat.stat-mech]
Blom, K.; Godec, A.: Criticality in cell adhesion. Physical Review X 11 (3), 031067 (2021)

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