# Biological timekeeping in the presence of stochasticity

@article{Jafarpour2017BiologicalTI, title={Biological timekeeping in the presence of stochasticity}, author={Farshid Jafarpour and Michael Vennettilli and Srividya Iyer-Biswas}, journal={arXiv: Molecular Networks}, year={2017} }

Causal ordering of key events in the cell cycle is essential for proper functioning of an organism. Yet, it remains a mystery how a specific temporal program of events is maintained despite ineluctable stochasticity in the biochemical dynamics which dictate timing of cellular events. We propose that if a change of cell fate is triggered by the {\em time-integral} of the underlying stochastic biochemical signal, rather than the original signal, then a dramatic improvement in temporal specificity…

## 8 Citations

Stochastic temporal timing for intracellular events to cross dynamically fluctuating thresholds

- BiologybioRxiv
- 2018

Stochastic temporal timing of events is formulated as a problem of the first passage time to a fluctuating threshold and then transformed into a higher-dimensional FPT problem with some fixed threshold and it is found that fluctuating thresholds not only shorten arrival time but also raise timing precision in contrast to fixed thresholds.

Controlling event timing precision for gene expression with external disturbances

- Mathematics2020 59th IEEE Conference on Decision and Control (CDC)
- 2020

This work investigates the form of optimal feedback strategy when the protein production rate is affected by an external dynamic disturbance (noise), specifically considering a telegraph process for the external disturbance and provides an exact formula for the minimum achievable noise.

Temporal precision of regulated gene expression

- BiologyPLoS Comput. Biol.
- 2018

It is found that either activation or repression outperforms an unregulated strategy for an event triggered by a molecule that crosses an abundance threshold and that is regulated by either an accumulating activator or a diminishing repressor.

Dynamic variability in apoptotic threshold as a strategy for combating fractional killing

- Biology
- 2018

Counterintuitively, it is found that threshold fluctuations can effectively enhance cellular killing by significantly decreasing the mean time that the p53 protein reaches the threshold level for the first time.

Stochastic fluctuations in apoptotic threshold of tumour cells can enhance apoptosis and combat fractional killing

- BiologyRoyal Society Open Science
- 2020

Counterintuitively, it is found that threshold fluctuations can effectively enhance cellular killing by significantly decreasing the mean time that the p53 protein reaches the threshold level for the first time.

Fractionally integrated Gauss-Markov processes and applications

- MathematicsCommun. Nonlinear Sci. Numer. Simul.
- 2021

On the Fractional Riemann-Liouville Integral of Gauss-Markov processes and applications

- Mathematics
- 2019

We investigate the stochastic processes obtained as the fractional Riemann-Liouville integral of order $\alpha \in (0,1)$ of Gauss-Markov processes. The general expressions of the mean, variance and…

Effects of cross-talk and pleiotropy on the specificity and accuracy of receptor signaling

- Biology
- 2019

The model serves as an elementary "building block" towards understanding more complex cross-wired receptor-ligand signaling networks, and suggests how cross-talk and pleiotropy might be inherent features of combinatorial signaling in cross- wired networks.

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