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On the phase space structure of IP3 induced Ca2+ signalling and concepts for predictive modeling (2018)
Journal Article
Falcke, M., Moein, M., Tilunaite, A., Thul, R., & Skupin, A. (2018). On the phase space structure of IP3 induced Ca2+ signalling and concepts for predictive modeling. Chaos, 28(4), Article 045115. https://doi.org/10.1063/1.5021073

The correspondence between mathematical structures and experimental systems is the basis of the generalizability of results found with specific systems, and is the basis of the predictive power of theoretical physics. While physicists have confidence... Read More about On the phase space structure of IP3 induced Ca2+ signalling and concepts for predictive modeling.

Fundamental properties of Ca²⁺ signals (2011)
Journal Article
Thurley, K., Skupin, A., Thul, R., & Falcke, M. (2011). Fundamental properties of Ca²⁺ signals. BBA - General Subjects, 1820(8), https://doi.org/10.1016/j.bbagen.2011.10.007

Background Ca²⁺ is a ubiquitous and versatile second messenger that transmits information through changes of the cytosolic Ca²⁺ concentration. Recent investigations changed basic ideas on the dynamic character of Ca²⁺ signals and challenge tradition... Read More about Fundamental properties of Ca²⁺ signals.

Cardiac cell modelling: observations from the heart of the cardiac physiome project (2011)
Journal Article
Fink, M., Niederer, S. A., Cherry, E. M., Fenton, F. H., Koivumäki, J. T., Seemann, G., …Smith, N. P. (2011). Cardiac cell modelling: observations from the heart of the cardiac physiome project. Progress in Biophysics and Molecular Biology, 104(1-3), https://doi.org/10.1016/j.pbiomolbio.2010.03.002

In this manuscript we review the state of cardiac cell modelling in the context of international initiatives such as the IUPS Physiome and Virtual Physiological Human Projects, which aim to integrate computational models across scales and physics. In... Read More about Cardiac cell modelling: observations from the heart of the cardiac physiome project.

Towards a predictive model of Ca²⁺ puffs (2009)
Journal Article
Thul, R., Thurley, K., & Falcke, M. (2009). Towards a predictive model of Ca²⁺ puffs. Chaos, 19, https://doi.org/10.1063/1.3183809

We investigate key characteristics of Ca²⁺ puffs in deterministic and stochastic frameworks that all incorporate the cellular morphology of IP[subscript]3 receptor channel clusters. In a first step, we numerically study Ca²⁺ liberation in a three dim... Read More about Towards a predictive model of Ca²⁺ puffs.

Waiting time distributions for clusters of complex molecules (2007)
Journal Article
Thul, R., & Falcke, M. (2007). Waiting time distributions for clusters of complex molecules. EPL, 79(3), https://doi.org/10.1209/0295-5075/79/38003

Waiting time distributions are in the core of theories for a large variety of subjects ranging from the analysis of patch clamp records to stochastic excitable systems. Here, we present a novel exact method for the calculation of waiting time distrib... Read More about Waiting time distributions for clusters of complex molecules.

Building oscillations bottom up: Elemental time scales of intracellular calcium dynamics (2007)
Book Chapter
Thul, R., & Falcke, M. (2007). Building oscillations bottom up: Elemental time scales of intracellular calcium dynamics. In L. Schimansky-Geier, B. Fiedler, J. Kurths, & E. Schöll (Eds.), Analysis and control of complex nonlinear processes in physics, chemistry and biology (293-324). World Scientific. https://doi.org/10.1142/9789812706911_0011

We analyze the elemental time scale of intracellular calcium dynamics. It is determined by the time course of Ca2+ puffs, which represent the fundamental quantum of Ca2+ release from intracellular storage compartments. Since Ca2+ puffs are truly rand... Read More about Building oscillations bottom up: Elemental time scales of intracellular calcium dynamics.

Frequency of elemental events of intracellular Ca²⁺ dynamics (2006)
Journal Article
Thul, R., & Falcke, M. (2006). Frequency of elemental events of intracellular Ca²⁺ dynamics. Physical Review E, 73, Article 061923. https://doi.org/10.1103/PhysRevE.73.061923

The dynamics of intracellular Ca²⁺ is driven by random events called Ca²⁺ puffs, in which Ca²⁺ is liberated from intracellular stores. We show that the emergence of Ca²⁺ puffs can be mapped to an escape process. The mean first passage times that corresp... Read More about Frequency of elemental events of intracellular Ca²⁺ dynamics.

Release currents of IP? receptor channel clusters and concentration profiles (2004)
Journal Article
Thul, R., & Falcke, M. (2004). Release currents of IP? receptor channel clusters and concentration profiles. Biophysical Journal, 86(5),

We simulate currents and concentration profiles generated by Ca2+ release from the endoplasmic reticulum (ER) to the cytosol through IP3 receptor channel clusters. Clusters are described as conducting pores in the lumenal membrane with a diameter f... Read More about Release currents of IP? receptor channel clusters and concentration profiles.

Stability of membrane bound reactions (2004)
Journal Article
Thul, R., & Falcke, M. (2004). Stability of membrane bound reactions. Physical Review Letters, 93(18), https://doi.org/10.1103/+PhysRevLet+t.93.188103

We present a novel approach to the dynamics of reactions of diffusing chemical species with species fixed in space e.g. by binding to a membrane. The non-diffusing reaction partners are clustered in areas with a diameter smaller than the diffusion length... Read More about Stability of membrane bound reactions.