Publications
8 results found
Pausch J, 2022, From neuronal spikes to avalanches: Effects and circumvention of time binning, PHYSICAL REVIEW RESEARCH, Vol: 4
Pausch J, Garcia-Millan R, Pruessner G, 2020, Time‐dependent branching processes: a model of oscillating neuronal avalanches, Scientific Reports, Vol: 10, Pages: 1-17, ISSN: 2045-2322
Recently, neuronal avalanches have been observed to display oscillations, a phenomenon regarded as the co-existenceof a scale-free behaviour (the avalanches close to criticality) and scale-dependent dynamics (the oscillations). Ordinarycontinuous-time branching processes with constant extinction and branching rates are commonly used as models of neuronalactivity, yet they lack any such time-dependence. In the present work, we extend a basic branching process by allowing theextinction rate to oscillate in time as a new model to describe cortical dynamics. By means of a perturbative field theory, wederive relevant observables in closed form. We support our findings by quantitative comparison to numerics and qualitativecomparison to available experimental results.
Pausch J, Pruessner G, 2019, Is actin filament and microtubule growth reaction- or diffusion-limited?, Journal of Statistical Mechanics: Theory and Experiment, Vol: 2019, ISSN: 1742-5468
Inside cells of living organisms, actin filaments and microtubules selfassemble and dissemble dynamically by incorporating actin or tubulin from the cell plasma or releasing it into their tips’ surroundings. Such reaction-diffusion systems can show diffusion- or reaction-limited behaviour. However, neither limit explains the experimental data: while the offset of the linear relation between growth speed and bulk tubulin density contradicts the diffusion limit, the surprisingly large variance of the growth speed rejects a pure reaction limit. In this article, we accommodate both limits and use a Doi-Peliti field-theory model to estimate how diffusive transport is perturbing the chemical reactions at the filament tip. Furthermore, a crossover bulkdensity is predicted at which the limiting process changes from chemical reactions to diffusive transport. In addition, we explain and estimate larger variances of the growth speed.
Garcia Millan R, Pausch J, Walter B, et al., 2018, Field-theoretic approach to the universality of branching processes, Physical Review E, Vol: 98, ISSN: 1539-3755
Branching processes are widely used to model phenomena from networks to neuronal avalanching. In a large class of continuous-time branching processes, we study the temporal scaling of the moments of the instant population size, the survival probability, expected avalanche duration, the so-called avalanche shape, the n-point correlation function, and the probability density function of the total avalanche size. Previous studies have shown universality in certain observables of branching processes using probabilistic arguments; however, a comprehensive description is lacking. We derive the field theory that describes the process and demonstrate how to use it to calculate the relevant observables and their scaling to leading order in time, revealing the universality of the moments of the population size. Our results explain why the first and second moment of the offspring distribution are sufficient to fully characterize the process in the vicinity of criticality, regardless of the underlying offspring distribution. This finding implies that branching processes are universal. We illustrate our analytical results with computer simulations.
Pausch J, Pruessner G, 2018, Is Actin Filament and Microtubule Growth Reaction- or Diffusion-Limited?
<jats:title>Abstract</jats:title><jats:p>Inside cells of living organisms, actin filaments and microtubules self-assemble and dissemble dynamically by incorporating actin or tubulin from the cell plasma or releasing it into their tips’ surroundings. Such reaction-diffusion systems can show diffusionor reaction-limited behaviour. However, neither limit explains the experimental data: while the offset of the linear relation between growth speed and bulk tubulin density contradicts the diffusion limit, the surprisingly large variance of the growth speed rejects a pure reaction limit. In this Letter, we accommodate both limits and use a Doi-Peliti field-theory model to estimate how diffusive transport is perturbing the chemical reactions at the filament tip. Furthermore, a crossover bulk density is predicted at which the limiting process changes from chemical reactions to diffusive transport. In addition, we explain and estimate larger variances of the growth speed.</jats:p>
Rascon C, Pausch J, Parry AO, 2018, First order wedge wetting revisited, Soft Matter, Vol: 14, Pages: 2835-2845, ISSN: 1744-683X
We consider a fluid adsorbed in a wedge made from walls that exhibit a first-order wetting transition and revisit the argument as to why and how the pre-filling and pre-wetting coexistence lines merge when the opening angle is increased approaching the planar geometry. We clarify the nature of the possible surface phase diagrams, pointing out the connection with complete pre-wetting, and show that the merging of the coexistence lines lead to new interfacial transitions. These occur along the side walls and are associated with the unbinding of the thin-thick interface, rather than the liquid–gas interface (meniscus), from the wedge apex. When fluctuation effects, together with the influence of dispersion forces are included, these transitions display strong non-universal critical singularities that depend on the opening angle itself. Similar phenomena are also shown to occur for adsorption near an apex tip.
Pausch J, Scherwinski F, Stein J, 2016, Finding four decay components in Li glass and three decay components in CeBr<sub>3</sub> scintillation light pulses in the temperature range from-30 °C to+50 °C by iterative subtraction of composite decays, NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, Vol: 807, Pages: 121-128, ISSN: 0168-9002
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Pausch J, Otto C, Tylaite E, et al., 2012, Optically injected quantum dot lasers: impact of nonlinear carrier lifetimes on frequency-locking dynamics, NEW JOURNAL OF PHYSICS, Vol: 14, ISSN: 1367-2630
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- Citations: 50
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