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First passage times in integrate-and-fire neurons with stochastic thresholds (2015)
Journal Article
Braun, W., Matthews, P. C., & Thul, R. (2015). First passage times in integrate-and-fire neurons with stochastic thresholds. Physical Review E, 91, Article 052701. https://doi.org/10.1103/PhysRevE.91.052701

We consider a leaky integrate--and--fire neuron with deterministic subthreshold dynamics and a firing threshold that evolves as an Ornstein-Uhlenbeck process. The formulation of this minimal model is motivated by the experimentally observed widesprea... Read More about First passage times in integrate-and-fire neurons with stochastic thresholds.

Modelling cell cycle synchronisation in networks of coupled radial glial cells (2015)
Journal Article
Barrack, D., Thul, R., & Owen, M. R. (2015). Modelling cell cycle synchronisation in networks of coupled radial glial cells. Journal of Theoretical Biology, 377, https://doi.org/10.1016/j.jtbi.2015.04.013

Radial glial cells play a crucial role in the embryonic mammalian brain. Their proliferation is thought to be controlled, in part, by ATP mediated calcium signals. It has been hypothesised that these signals act to locally synchronise cell cycles, so... Read More about Modelling cell cycle synchronisation in networks of coupled radial glial cells.

Unifying principles of calcium wave propagation: insights from a three-dimensional model for atrial myocytes (2015)
Journal Article
Thul, R., Rietdorf, K., Bootman, M. D., & Coombes, S. (2015). Unifying principles of calcium wave propagation: insights from a three-dimensional model for atrial myocytes. Biochimica et Biophysica Acta (BBA) - Molecular Cell Research, 1853(9), https://doi.org/10.1016/j.bbamcr.2015.02.019

Atrial myocytes in a number of species lack transverse tubules. As a consequence the intracellular calcium signals occurring during each heartbeat exhibit complex spatio-temporal dynamics. These calcium patterns arise from saltatory calcium waves tha... Read More about Unifying principles of calcium wave propagation: insights from a three-dimensional model for atrial myocytes.

Exploring Oscillations in a Point Model of the Intracellular Ca2+ Concentration (2014)
Journal Article
Thul, R. (2014). Exploring Oscillations in a Point Model of the Intracellular Ca2+ Concentration. Cold Spring Harbor Protocols, 2014(5), 552-555. https://doi.org/10.1101/pdb.prot073221

Intracellular calcium (Ca2+) oscillations are a key signaling mechanism in most cell types. A prominent approach to modeling intracellular Ca2+ oscillations is the use of ordinary differential equations (ODEs), which treat the intracellular Ca2+ conc... Read More about Exploring Oscillations in a Point Model of the Intracellular Ca2+ Concentration.

Cannabinoid-mediated short-term plasticity in hippocampus (2014)
Journal Article
Zachariou, M., & Thul, R. (2014). Cannabinoid-mediated short-term plasticity in hippocampus. Journal of Computational Neuroscience, 37(3), https://doi.org/10.1007/s10827-014-0518-4

Endocannabinoids modulate both excitatory and inhibitory neurotransmission in hippocampus via activation of pre-synaptic cannabinoid receptors. Here, we present a model for cannabinoid mediated short-term depression of excitation (DSE) based on our r... Read More about Cannabinoid-mediated short-term plasticity in hippocampus.

Translating intracellular calcium signaling into models (2014)
Journal Article
Thul, R. (2014). Translating intracellular calcium signaling into models. Cold Spring Harbor Protocols, https://doi.org/10.1101/pdb.top066266

The rich experimental data on intracellular calcium has put theoreticians in an ideal position to derive models of intracellular calcium signaling. Over the last 25 years, a large number of modeling frameworks have been suggested. Here, I will review... Read More about Translating intracellular calcium signaling into models.

Oscillations in a point models of the intracellular Ca2+ concentration (2014)
Journal Article
Thul, R. (2014). Oscillations in a point models of the intracellular Ca2+ concentration. Cold Spring Harbor Protocols, https://doi.org/10.1101/pdb.prot073221

Oscillations in the intracellular calcium (Ca2+) concentration form one of the main pathways by which cells translate external stimuli into physiological responses (Thul et al. 2008; Dupont et al. 2011; Parekh 2011). The mechanisms that underlie the... Read More about Oscillations in a point models of the intracellular Ca2+ concentration.

Time to blip – stochastic simulation of single channel opening (2014)
Journal Article
Thul, R. (2014). Time to blip – stochastic simulation of single channel opening. Cold Spring Harbor Protocols, https://doi.org/10.1101/pdb.prot073239

The stochastic dynamics of the inositol-1,4,5-trisphosphate (IP3) receptor (IP3R) is key to understanding a wide range of observed calcium (Ca2+) signals (Falcke 2004). The stochastic nature results from the constant binding and unbinding of Ca2+ and... Read More about Time to blip – stochastic simulation of single channel opening.

Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development (2014)
Journal Article
Barrack, D., Thul, R., & Owen, M. R. (2014). Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development. Journal of Theoretical Biology, 347, https://doi.org/10.1016/j.jtbi.2014.01.004

Most neocortical neurons formed during embryonic brain development arise from radial glial cells which communicate, in part, via ATP mediated calcium signals. Although the intercellular signalling mechanisms that regulate radial glia proliferation ar... Read More about Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development.