All Outputs (45)

Unifying principles of calcium wave propagation: insights from a three-dimensional model for atrial myocytes (2015)
Journal Article

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.

Cannabinoid-mediated short-term plasticity in hippocampus (2014)
Journal Article

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.

Time to blip – stochastic simulation of single channel opening (2014)
Journal Article

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.

Oscillations in a point models of the intracellular Ca2+ concentration (2014)
Journal Article

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.

Translating intracellular calcium signaling into models (2014)
Journal Article

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.

Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development (2014)
Journal Article

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.

Persistence of pro-arrhythmic spatio-temporal calcium patterns in atrial myocytes: a computational study of ping waves (2012)
Journal Article

Clusters of ryanodine receptors within atrial myocytes are confined to spatially separated layers. In many species, these layers are not juxtaposed by invaginations of the plasma membrane (transverse tubules; 'T-tubules'), so that calcium-induced-cal... Read More about Persistence of pro-arrhythmic spatio-temporal calcium patterns in atrial myocytes: a computational study of ping waves.

Neuronal spike-train responses in the presence of threshold noise (2012)
Journal Article

The variability of neuronal firing has been an intense topic of study for many years. From a modelling perspective it has often been studied in conductance based spiking models with the use of additive or multiplicative noise terms to represent chan... Read More about Neuronal spike-train responses in the presence of threshold noise.

Subcellular calcium dynamics in a whole-cell model of an atrial myocyte (2012)
Journal Article

In this study, we present an innovative mathematical modeling approach that allows detailed characterization of Ca 2+ movement within the three-dimensional volume of an atrial myocyte. Essential aspects of the model are the geometrically realistic re... Read More about Subcellular calcium dynamics in a whole-cell model of an atrial myocyte.

Fundamental properties of Ca²⁺ signals (2011)
Journal Article

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.

Nonsmooth dynamics in spiking neuron models (2011)
Journal Article

Large scale studies of spiking neural networks are a key part of modern approaches to understanding the dynamics of biological neural tissue. One approach in computational neuroscience has been to consider the detailed electrophysiological propertie... Read More about Nonsmooth dynamics in spiking neuron models.

Cardiac cell modelling: observations from the heart of the cardiac physiome project (2011)
Journal Article

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.

Understanding cardiac alternans: a piecewise linear modeling framework (2010)
Journal Article

Cardiac alternans is a beat-to-beat alternation in action potential duration (APD) and intracellular calcium (Ca²⁺) cycling seen in cardiac myocytes under rapid pacing that is believed to be a precursor to fibrillation. The cellular mechanisms of the... Read More about Understanding cardiac alternans: a piecewise linear modeling framework.

Towards a predictive model of Ca²⁺ puffs (2009)
Journal Article

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.

Sensitisation waves in a bidomain fire-diffuse-fire model of intracellular Ca²⁺ dynamics (2009)
Journal Article

We present a bidomain threshold model of intracellular calcium (Ca²⁺) dynamics in which, as suggested by recent experiments, the cytosolic threshold for Ca²⁺ liberation is modulated by the Ca²⁺ concentration in the releasing compartment. We explicitl... Read More about Sensitisation waves in a bidomain fire-diffuse-fire model of intracellular Ca²⁺ dynamics.

A bidomain threshold model of propagating calcium waves (2007)
Journal Article

We present a bidomain fire-diffuse-fire model that facilitates mathematical analysis of propagating waves of elevated intracellular calcium (Ca) in living cells. Modelling Ca release as a threshold process allows the explicit construction of travell... Read More about A bidomain threshold model of propagating calcium waves.

Waiting time distributions for clusters of complex molecules (2007)
Journal Article

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

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.

Calcium oscillations (2007)
Book Chapter

Changes in cellular calcium concentration control a wide range of physiological processes, from the subsecond release of synaptic neurotransmitters, to the regulation of gene expression over months or years. Calcium can also trigger cell death throu... Read More about Calcium oscillations.

Frequency of elemental events of intracellular Ca²⁺ dynamics (2006)
Journal Article

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.