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. For details please visit our research page.

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Press Releases & Research News

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

Most recent papers

Lapolla, A.; Godec, A.: Single-file diffusion in a bi-stable potential: Signatures of memory in the barrier-crossing of a tagged-particle. The Journal of Chemical Physics 153 (19), 194104 (2020)
Lapolla, A.; Hartich, D.; Godec, A.: Spectral theory of fluctuations in time-average statistical mechanics of reversible and driven systems. Physical Review Research 2 (4), 043084 (2020)
Lapolla, A.; Godec, A.: BetheSF: Efficient computation of the exact tagged-particle propagator in single-file systems via the Bethe eigenspectrum. Computer Physics Communications 258, 107569 (2021)
Lapolla, A.; Godec, A.: Faster uphill relaxation in thermodynamically equidistant temperature quenches. Physical Review Letters 125 (11), 110602 (2020)
Ukmar-Godec, T.; Fang, P.; Ibáñez de Opakua, A.; Henneberg, F.; Godec, A.; Pan, K. T.; Cima-Omori, M.-S.; Chari, A.; Mandelkow, E.; Urlaub, H. et al.; Zweckstetter, M.: Proteasomal degradation of the intrinsically disordered protein tau at single-residue resolution. Science Advances 6 (30), eaba3916 (2020)
Lapolla, A.; Godec, A.: Manifestations of projection-induced memory: General theory and the tilted single file. Frontiers in Physics 7, 182 (2019)

Hartich, D.; Godec, A.: Extreme value statistics of ergodic Markov processes from first passage times in the large deviation limit. Journal of Physics A: Mathematical and Theoretical 52, 244001 (2019)
Hartich, D.; Godec, A.: Interlacing relaxation and first-passage phenomena in reversible discrete and continuous space Markovian dynamics. Journal of Statistical Mechanics: Theory and Experiment 2019, 024002 (2019)
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