| Title | Overshoot in biological systems modelled by Markov chains: a non-equilibrium dynamic phenomenon |
| Authors | Jia, Chen Qian, Minping Jiang, Daquan |
| Affiliation | Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China. Beijing Int Ctr Math Res, Beijing 100871, Peoples R China. Peking Univ, Ctr Stat Sci, Beijing 100871, Peoples R China. |
| Keywords | RYANODINE RECEPTOR ADAPTATION CA2+-INDUCED CA2+ RELEASE GENE-EXPRESSION SENSORY ADAPTATION MECHANISM NOISE CELLS TRANSDUCTION INHIBITION |
| Issue Date | 2014 |
| Publisher | iet systems biology |
| Citation | IET SYSTEMS BIOLOGY.2014,8,(4,SI),138-145. |
| Abstract | A number of biological systems can be modelled by Markov chains. Recently, there has been an increasing concern about when biological systems modelled by Markov chains will perform a dynamic phenomenon called overshoot. In this study, the authors found that the steady-state behaviour of the system will have a great effect on the occurrence of overshoot. They showed that overshoot in general cannot occur in systems that will finally approach an equilibrium steady state. They further classified overshoot into two types, named as simple overshoot and oscillating overshoot. They showed that except for extreme cases, oscillating overshoot will occur if the system is far from equilibrium. All these results clearly show that overshoot is a non-equilibrium dynamic phenomenon with energy consumption. In addition, the main result in this study is validated with real experimental data. |
| URI | http://hdl.handle.net/20.500.11897/314161 |
| ISSN | 1751-8849 |
| DOI | 10.1049/iet-syb.2013.0050 |
| Indexed | SCI(E) EI PubMed |
| Appears in Collections: | 数学科学学院 数学及其应用教育部重点实验室 |
