Phase sensitivity analysis for biological oscillatory systems

Baoyun Lu, Hong Yue

Research output: Contribution to conferencePaper

Abstract

Oscillation is one of the most important nonlinear behaviors which is widely observed in living cells. There has been a growing experimental and computational evidence of oscillations in biological systems, which brings an increasing interest in understanding how such oscillations occur and what are the main factors in controlling these oscillations. Sensitivity analysis is a powerful tool in investigating the impact of parameter variations on the change of oscillation behaviors quantitatively. For an oscillatory system, the phase sensitivity analysis is a challenging problem in formulation and computation. In this work, a systematic phase sensitivity analysis method is proposed by analyzing the relationship between the phase sensitivity and the state sensitivity. A new concept of basal state sensitivity is proposed based on which the phase sensitivity can be derived. The proposed algorithm is easy to implement and interpret for limit cycle oscillatory systems. It is applied to a circadian rhythm mathematical model. The simulation result shows the efficiency of this approach and also highlights the importance of investigating sensitivity analysis using different features of a limit cycle.
LanguageEnglish
Pages5153-5158
Number of pages6
Publication statusPublished - 2010
Event29th Chinese Control Conference - Beijing, China
Duration: 29 Jul 201031 Jul 2010

Conference

Conference29th Chinese Control Conference
CountryChina
CityBeijing
Period29/07/1031/07/10

Fingerprint

Biological systems
Sensitivity analysis
Cells
Mathematical models

Keywords

  • ohase sensitivity analysis
  • biological oscillatory systems
  • oscillatory systems

Cite this

Lu, B., & Yue, H. (2010). Phase sensitivity analysis for biological oscillatory systems. 5153-5158. Paper presented at 29th Chinese Control Conference, Beijing, China.
Lu, Baoyun ; Yue, Hong. / Phase sensitivity analysis for biological oscillatory systems. Paper presented at 29th Chinese Control Conference, Beijing, China.6 p.
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author = "Baoyun Lu and Hong Yue",
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Lu, B & Yue, H 2010, 'Phase sensitivity analysis for biological oscillatory systems' Paper presented at 29th Chinese Control Conference, Beijing, China, 29/07/10 - 31/07/10, pp. 5153-5158.

Phase sensitivity analysis for biological oscillatory systems. / Lu, Baoyun; Yue, Hong.

2010. 5153-5158 Paper presented at 29th Chinese Control Conference, Beijing, China.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Phase sensitivity analysis for biological oscillatory systems

AU - Lu, Baoyun

AU - Yue, Hong

PY - 2010

Y1 - 2010

N2 - Oscillation is one of the most important nonlinear behaviors which is widely observed in living cells. There has been a growing experimental and computational evidence of oscillations in biological systems, which brings an increasing interest in understanding how such oscillations occur and what are the main factors in controlling these oscillations. Sensitivity analysis is a powerful tool in investigating the impact of parameter variations on the change of oscillation behaviors quantitatively. For an oscillatory system, the phase sensitivity analysis is a challenging problem in formulation and computation. In this work, a systematic phase sensitivity analysis method is proposed by analyzing the relationship between the phase sensitivity and the state sensitivity. A new concept of basal state sensitivity is proposed based on which the phase sensitivity can be derived. The proposed algorithm is easy to implement and interpret for limit cycle oscillatory systems. It is applied to a circadian rhythm mathematical model. The simulation result shows the efficiency of this approach and also highlights the importance of investigating sensitivity analysis using different features of a limit cycle.

AB - Oscillation is one of the most important nonlinear behaviors which is widely observed in living cells. There has been a growing experimental and computational evidence of oscillations in biological systems, which brings an increasing interest in understanding how such oscillations occur and what are the main factors in controlling these oscillations. Sensitivity analysis is a powerful tool in investigating the impact of parameter variations on the change of oscillation behaviors quantitatively. For an oscillatory system, the phase sensitivity analysis is a challenging problem in formulation and computation. In this work, a systematic phase sensitivity analysis method is proposed by analyzing the relationship between the phase sensitivity and the state sensitivity. A new concept of basal state sensitivity is proposed based on which the phase sensitivity can be derived. The proposed algorithm is easy to implement and interpret for limit cycle oscillatory systems. It is applied to a circadian rhythm mathematical model. The simulation result shows the efficiency of this approach and also highlights the importance of investigating sensitivity analysis using different features of a limit cycle.

KW - ohase sensitivity analysis

KW - biological oscillatory systems

KW - oscillatory systems

UR - http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=05573434

M3 - Paper

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Lu B, Yue H. Phase sensitivity analysis for biological oscillatory systems. 2010. Paper presented at 29th Chinese Control Conference, Beijing, China.