A stochastic vs deterministic perspective on the timing of cellular events

L Ham, MA Coomer, K Öcal, R Grima… - Nature …, 2024 - nature.com
Cells are the fundamental units of life, and like all life forms, they change over time. Changes
in cell state are driven by molecular processes; of these many are initiated when molecule …

Fundamental properties of Ca2+ signals

K Thurley, A Skupin, R Thul, M Falcke - Biochimica et Biophysica Acta (BBA …, 2012 - Elsevier
BACKGROUND: Ca2+ is a ubiquitous and versatile second messenger that transmits
information through changes of the cytosolic Ca2+ concentration. Recent investigations …

[KNIHA][B] Models of calcium signalling

G Dupont, M Falcke, V Kirk, J Sneyd - 2016 - Springer
The interactions between mathematics and physiology have a long and illustrious history, of
which the study of calcium signalling is but a small chapter. Nevertheless, for those involved …

Calcium oscillations

R Thul, TC Bellamy, HL Roderick, MD Bootman… - Cellular Oscillatory …, 2009 - Springer
Abstract Changes in cellular Ca 2+ concentration control a wide range of physiological
processes, from the subsecond release of synaptic neurotransmitters, to the regulation of …

The influence of Ca2+ buffers on free [Ca2+] fluctuations and the effective volume of Ca2+ microdomains

SH Weinberg, GD Smith - Biophysical journal, 2014 - cell.com
Abstract Intracellular calcium (Ca 2+) plays a significant role in many cell signaling
pathways, some of which are localized to spatially restricted microdomains. Ca 2+ binding …

Calcium-dependent inactivation and the dynamics of calcium puffs and sparks

JR Groff, GD Smith - Journal of theoretical biology, 2008 - Elsevier
Localized intracellular Ca2+ elevations known as puffs and sparks arise from the
cooperative activity of inositol 1, 4, 5-trisphosphate receptor Ca2+ channels (IP3Rs) and …

Toward a predictive model of Ca2+ puffs

R Thul, K Thurley, M Falcke - Chaos: An Interdisciplinary Journal of …, 2009 - pubs.aip.org
We investigate the key characteristics of Ca 2+ puffs in deterministic and stochastic
frameworks that all incorporate the cellular morphology of IP 3 receptor channel clusters. In …

Markov chain Monte Carlo fitting of single-channel data from inositol trisphosphate receptors

E Gin, M Falcke, LE Wagner, DI Yule… - Journal of theoretical …, 2009 - Elsevier
In many cell types, the inositol trisphosphate receptor (IPR) is one of the important
components that control intracellular calcium dynamics, and an understanding of this …

[HTML][HTML] Understanding cardiac alternans: a piecewise linear modeling framework

R Thul, S Coombes - Chaos: An Interdisciplinary Journal of Nonlinear …, 2010 - pubs.aip.org
Cardiac alternans is a beat-to-beat alternation in action potential duration (APD) and
intracellular calcium (Ca 2+) cycling seen in cardiac myocytes under rapid pacing that is …

Hierarchic Stochastic Modelling Applied to Intracellular Ca2+ Signals

G Moenke, M Falcke, K Thurley - PloS one, 2012 - journals.plos.org
Important biological processes like cell signalling and gene expression have noisy
components and are very complex at the same time. Mathematical analysis of such systems …