Publications

Published Papers

[14] Liu, Totz, Miller, Hastewell, Chao, Dunkel, Fakhri, Topological braiding and virtual particles on the cell membrane Proc. Natl. Acad. Sci. USA 118 (2021) (pdf)

Interactive companion website at: https://www.cgleatlas.com/

Accompanying press coverage in AMS Math in the Media


[13] Denk-Lobnig, Totz, Heer, Dunkel, Martin, Combinatorial patterns of graded RhoA activation and uniform F-actin depletion promote tissue curvature Development 148 (2021) (pdf)

Interactive companion website at: https://bzjan.github.io/embryo_atlas/


[12] Călugăru, Totz, Martens, Engel, First-order synchronization transition in a large population of strongly coupled relaxation oscillators Sci. Adv. 6 (2020) (pdf)


[11] Totz, Tinsley, Engel, Showalter, Transition from spiral wave chimeras to phase cluster states Sci. Rep. 10 (2020) (pdf)


[10] Fengler, Totz, Kaluza, Engel, Directed adaptation of synchronization levels in oscillator communities Chaos 29 (2019) (pdf)


[9] Rode, Totz, Fengler, Engel, Chimera states on a ring of strongly coupled relaxation oscillators Front. Appl. Math. Stat. 5 (2019) (pdf)

Github code repository: Coupled Oscillator Solver


[8] Jeckel, Jelli, Hartmann, Singh, Mok, Totz, Vidakovic, Eckhardt, Dunkel, Drescher, Learning the space-time phase diagram of bacterial swarm expansion, Proc. Natl. Acad. Sci. USA 116 (2019) (pdf)


[7] Totz, Löber, Totz, Engel, Control of transversal instabilities in reaction-diffusion systems, New J. Phys. 20 (2018) (pdf)


[6] Totz, Rode, Tinsley, Showalter, Engel, Spiral wave chimera states in large populations of coupled chemical oscillators, Nat. Phys. 14 (2018) (Readcube Link)

Github code repository: Spiral Wave Chimera Solver

Accompanying press coverage in Nat. Phys. News & Views and ScienceNews


[5] Azhand, Buchholz, Totz, Engel, A novel technique to initiate and investigate scroll waves in thin layers of the photosensitive Belousov-Zhabotinsky reaction, Eur. Phys. J. E 39 (2016) (pdf)


[4] Nakouzi, Totz, Zhang, Steinbock, Engel, Hysteresis and drift of spiral waves near heterogeneities: From chemical experiments to cardiac simulations, Phys. Rev. E 93 (2016) (pdf)


[3] Totz, Snari, Yengi, Tinsley, Engel, Showalter, Phase-lag synchronization in networks of coupled chemical oscillators, Phys. Rev. E 92 (2015) (pdf)


[2] Totz, Engel, Steinbock, Spatial confinement causes lifetime enhancement and expansion of vortex rings with positive filament tension, New J. Phys. 17 (2015) (pdf)

Watch the video abstract. Upgraded to IOP Select collection.


[1] Azhand, Totz, Engel, Three-dimensional autonomous pacemaker in the photosensitive Belousov-Zhabotinsky medium, Europhys. Lett. 108 (2014) (pdf)

Spiral waves on a stafish embyro [14]

Snapshot of live spiral wave simulation from cgleatlas [14]


Continnum mechanics simulation of a folding fly embyro [13]

Chimera Spiral Wave [6]


Target Wave on a Network [3]

Confined Scroll Ring [2]

Published Code

Spiral Wave Chimera Solver (Repository Link)

Simulate your own spiral wave chimeras in nonlocally coupled oscillator grids. This code was used for [6].


Coupled Oscillator Solver (Repository Link)

Simulate oscillators that are either all coupled together or coupled nonlocally on a ring. This code was used for [9].

Published Book

J. F. Totz, Synchronization and Waves in Active Media in Springer Theses (Springer, 2019)

A published version of my PhD thesis.