| Issue |
Math. Model. Nat. Phenom.
Volume 10, Number 3, 2015
Model Reduction
|
|
|---|---|---|
| Page(s) | 186 - 205 | |
| DOI | https://doi.org/10.1051/mmnp/201510314 | |
| Published online | 22 June 2015 | |
Overcoming Complexity of Biological Systems: from Data Analysis to Mathematical Modeling
1 Institut Curie, 26 rue d’Ulm, Paris, 75248 FR
2 INSERM U900, Paris, FR
3 Mines Paris Tech, Fontainebleau, FR
⋆
Corresponding author. E-mail: andrei.zinovyev@curie.fr
The problem of dealing with complexity arises when we fail to achieve a desired behavior of biological systems (for example, in cancer treatment). In this review I formulate the problem of tackling biological complexity at the level of large-dimensional datasets and complex mathematical models of reaction networks. I show that in many cases the complexity can be reduced by using approximation by simpler objects (for example, using principal graphs for data dimension reduction, and using dominant systems for reducing complex models). Examples of dealing with complexity from various fields of molecular systems biology are used, in particular, from the analysis of cancer transcriptomes, mathematical modeling of protein synthesis and of cell fate decisions between death and life.
To Alexander Gorban, my scientific supervisor, on his 60th birthday
Mathematics Subject Classification: 92-00 / 92-08 / 92B05 / 92C42 / 62P10
Key words: complexity / biological / systems / modeling / data analysis / cancer
© EDP Sciences, 2015
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