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Mathematical modeling of the intracellular protein dynamics: The importance of active transport along microtubules

Zuzanna Szymaska 1 Martin Parisot 2 Mirosław Lachowicz 2
1 ICM - ICM
2 MIMUW - Institute of Applied Mathematics and Mechanics
Abstract : In this paper we propose a mathematical model of protein and mRNA transport inside a cell. The spatio-temporal model takes into account the active transport along microtubules in cytoplasm as well as diffusion and is able to reproduce the oscillatory changes in protein concentration observed in many experimental data. In the model the protein and mRNA interact with each other that allows us to classify the model as a simple gene regulatory network. The proposed model is generic and may be adapted to specific signaling pathways. On the basis of numerical simulations, we formulate a new hypothesis that the oscillatory dynamics is allowed by the mRNA active transport along microtubules from the nucleus to distant locations.
Keywords : Negative feedback Microtubule Parabolic hyperbolic coupled model Intracellular dynamic Active transport
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https://hal.inria.fr/hal-01079836
Contributor : Martin Parisot <>
Submitted on : Tuesday, November 4, 2014 - 9:13:00 AM
Last modification on : Monday, March 21, 2016 - 5:33:59 PM

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Zuzanna Szymaska, Martin Parisot, Mirosław Lachowicz. Mathematical modeling of the intracellular protein dynamics: The importance of active transport along microtubules. Journal of Theoretical Biology, Elsevier, 2014, 363, pp.118-128. ⟨10.1016/j.jtbi.2014.07.022⟩. ⟨hal-01079836⟩

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