• Corpus ID: 17889984

Mathematical modelling of calcium signalling taking into account mechanical effects

@article{Kaouri2017MathematicalMO,
  title={Mathematical modelling of calcium signalling taking into account mechanical effects},
  author={Katerina Kaouri and Philip K. Maini and Stephen Jonathan Chapman},
  journal={arXiv: Dynamical Systems},
  year={2017}
}
Most of the calcium in the body is stored in bone. The rest is stored elsewhere, and calcium signalling is one of the most important mechanisms of information propagation in the body. Yet, many questions remain open. In this work, we initially consider the mathematical model proposed in Atri et al. \cite{ atri1993single}. Omitting diffusion, the model is a system of two nonlinear ordinary differential equations (ODEs) for the calcium concentration, and the fraction of $IP_3$ receptors that have… 

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References

SHOWING 1-10 OF 72 REFERENCES

Diffusion of calcium in biological tissues and accompanying mechano-chemical effects

TLDR
This paper considers the coupling between chemical and mechanical effects accompanying the diffusion of calcium, either in biological tissues or in a single long cell, and provides a simple and effective theory, which can be useful in studying various effects influencing propagation of calcium waves.

A Deterministic Model Predicts the Properties of Stochastic Calcium Oscillations in Airway Smooth Muscle Cells

TLDR
Calcium dynamics can be accurately modeled using simplified models, and to obtain qualitative predictions of how oscillation frequency depends on parameters it is sufficient to use a deterministic model.

Wave bifurcation and propagation failure in a model of Ca2+ release

TLDR
This paper reviews the travelling wave properties of the biophysical De Young Keizer model and shows that much of its behaviour can be reproduced by a much simpler Fire-Diffuse-Fire (FDF) type model.

Stochastic models of intracellular calcium signals

Mathematical modelling of calcium wave propagation in mammalian airway epithelium: evidence for regenerative ATP release

TLDR
It is shown that for a Ca2+ wave to propagate large distances, a significant fraction of the intracellular ATP pool would be required to be released, which suggests that an additional mechanism is important in Ca2- wave propagation, such as regenerative release of ATP from cells downstream of the stimulated cell.

Models of Calcium Signalling

TLDR
This book presents the general modelling theory as well as a large number of specific case examples to show how mathematical modelling can interact with experimental approaches, in an interdisciplinary and multifaceted approach to the study of an important physiological control mechanism.

Intercellular spiral waves of calcium.

TLDR
In the calcium wave model, it is shown numerically that the spiral period is first a decreasing, then an increasing, function of the intercellular permeability, and hypothesise that this is because the curvature of the spiral core is unimportant at low permeability.

A model for the propagation of intercellular calcium waves.

TLDR
It is suggested that Ca(2+)-independent regenerative production of IP3 might be necessary for the propagation of intercellular Ca2+ waves.
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