A MATHEMATICAL MODEL FOR THE ENHANCED CYTOPLASMIC TRANSPORT - How to Get (Faster) to the Nucleus

Luna Dimitrio, Roberto Natalini, Luciano Milanesi

2011

Abstract

We consider a simple model for signal transport in the cytoplasm. Following some recent experimental evidences, the standard diffusion model is supplemented by advection operated through an attachement/detachement mechanism along microtubules. This model is given by a system of partial differential equations which are cast in different dimensions and connected by suitable exchange rules. A numerical scheme is introduced and some simulations are presented and discussed to show the performances of our model.

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in Harvard Style

Dimitrio L., Natalini R. and Milanesi L. (2011). A MATHEMATICAL MODEL FOR THE ENHANCED CYTOPLASMIC TRANSPORT - How to Get (Faster) to the Nucleus . In Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms - Volume 1: BIOINFORMATICS, (BIOSTEC 2011) ISBN 978-989-8425-36-2, pages 39-46. DOI: 10.5220/0003135700390046

in Bibtex Style

@conference{bioinformatics11,
author={Luna Dimitrio and Roberto Natalini and Luciano Milanesi},
title={A MATHEMATICAL MODEL FOR THE ENHANCED CYTOPLASMIC TRANSPORT - How to Get (Faster) to the Nucleus},
booktitle={Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms - Volume 1: BIOINFORMATICS, (BIOSTEC 2011)},
year={2011},
pages={39-46},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003135700390046},
isbn={978-989-8425-36-2},
}


in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Bioinformatics Models, Methods and Algorithms - Volume 1: BIOINFORMATICS, (BIOSTEC 2011)
TI - A MATHEMATICAL MODEL FOR THE ENHANCED CYTOPLASMIC TRANSPORT - How to Get (Faster) to the Nucleus
SN - 978-989-8425-36-2
AU - Dimitrio L.
AU - Natalini R.
AU - Milanesi L.
PY - 2011
SP - 39
EP - 46
DO - 10.5220/0003135700390046