Coupled analytical and numerical approach to uncovering new regulatory mechanisms of intracellular processes

Jarosław Śmieja

International Journal of Applied Mathematics and Computer Science (2010)

  • Volume: 20, Issue: 4, page 781-788
  • ISSN: 1641-876X

Abstract

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The paper deals with the analysis of signaling pathways aimed at uncovering new regulatory processes regulating cell responses. First, general issues of comparing simulation and experimental data are discussed, and various aspects of data normalization are covered. Then, a model of a particular signaling pathway, induced by Interferon-β, is briefly introduced. It serves as an example illustrating how mathematical modeling can be used for inferring the structure of a regulatory system governing the dynamics of intracellular processes. In this pathway, experimental results suggest that a hitherto unknown process is responsible for a decrease in the levels of one of the important molecules used in the pathway. Then, equilibrium points of the model are analyzed, allowing the rejection of all but one explanation of the phenomena observed experimentally. Numerical simulations confirm that the model can mimic the dynamics of the processes in the pathway under consideration. Finally, some remarks about the applicability of the method based on an analysis of equilibrium points are made.

How to cite

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Jarosław Śmieja. "Coupled analytical and numerical approach to uncovering new regulatory mechanisms of intracellular processes." International Journal of Applied Mathematics and Computer Science 20.4 (2010): 781-788. <http://eudml.org/doc/208026>.

@article{JarosławŚmieja2010,
abstract = {The paper deals with the analysis of signaling pathways aimed at uncovering new regulatory processes regulating cell responses. First, general issues of comparing simulation and experimental data are discussed, and various aspects of data normalization are covered. Then, a model of a particular signaling pathway, induced by Interferon-β, is briefly introduced. It serves as an example illustrating how mathematical modeling can be used for inferring the structure of a regulatory system governing the dynamics of intracellular processes. In this pathway, experimental results suggest that a hitherto unknown process is responsible for a decrease in the levels of one of the important molecules used in the pathway. Then, equilibrium points of the model are analyzed, allowing the rejection of all but one explanation of the phenomena observed experimentally. Numerical simulations confirm that the model can mimic the dynamics of the processes in the pathway under consideration. Finally, some remarks about the applicability of the method based on an analysis of equilibrium points are made.},
author = {Jarosław Śmieja},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {signaling pathways; equilibrium points; simulation},
language = {eng},
number = {4},
pages = {781-788},
title = {Coupled analytical and numerical approach to uncovering new regulatory mechanisms of intracellular processes},
url = {http://eudml.org/doc/208026},
volume = {20},
year = {2010},
}

TY - JOUR
AU - Jarosław Śmieja
TI - Coupled analytical and numerical approach to uncovering new regulatory mechanisms of intracellular processes
JO - International Journal of Applied Mathematics and Computer Science
PY - 2010
VL - 20
IS - 4
SP - 781
EP - 788
AB - The paper deals with the analysis of signaling pathways aimed at uncovering new regulatory processes regulating cell responses. First, general issues of comparing simulation and experimental data are discussed, and various aspects of data normalization are covered. Then, a model of a particular signaling pathway, induced by Interferon-β, is briefly introduced. It serves as an example illustrating how mathematical modeling can be used for inferring the structure of a regulatory system governing the dynamics of intracellular processes. In this pathway, experimental results suggest that a hitherto unknown process is responsible for a decrease in the levels of one of the important molecules used in the pathway. Then, equilibrium points of the model are analyzed, allowing the rejection of all but one explanation of the phenomena observed experimentally. Numerical simulations confirm that the model can mimic the dynamics of the processes in the pathway under consideration. Finally, some remarks about the applicability of the method based on an analysis of equilibrium points are made.
LA - eng
KW - signaling pathways; equilibrium points; simulation
UR - http://eudml.org/doc/208026
ER -

References

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