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Fluorescence-based Measurement of Store-operated Calcium Entry in Live Cells: from Cultured Cancer Cell to Skeletal Muscle Fiber
Published on: February 13, 2012
Designing dynamical output feedback controllers for store-operated Ca²+ entry
Weijiu Liu1, Fusheng Tang, Jingvoon Chen
1Department of Mathematics, University of Central Arkansas, 201 Donaghey Avenue, Conway, AR 72035, USA. weijiul@uca.edu
Mathematical Biosciences
|September 7, 2010
Summary
This study models store-operated calcium entry (SOCE) as a feedback system, designing a controller to manage calcium levels in non-excitable cells. The model successfully rejects disturbances and tracks calcium levels, validated by experimental data.
Area of Science:
- Biophysics
- Systems Biology
- Calcium Signaling
Background:
- Store-operated calcium entry (SOCE) is crucial for calcium regulation in non-excitable cells.
- Mathematical models for SOCE are underdeveloped despite experimental advances.
Purpose of the Study:
- To develop a mathematical model for SOCE using feedback control theory.
- To design a dynamic output feedback controller for calcium homeostasis.
- To validate the model and controller against experimental data.
Main Methods:
- Modeling SOCE as a feedback control system.
- Designing a dynamic output feedback controller.
- Utilizing LaSalle's invariance principle for stability analysis.
- Simulating STIM1 and Orai1 dynamics.
Main Results:
- The controller effectively rejects agonist disturbances and tracks calcium levels in the cytosol and ER.
- Simulations show STIM1 and Orai1 cluster dynamics upon ER calcium depletion and repletion.
- The system demonstrates stability and rapid return to equilibrium after disturbances.
Conclusions:
- The developed feedback control system accurately models and regulates SOCE.
- The controller ensures calcium homeostasis by managing calcium entry and disturbances.
- This approach provides a robust framework for understanding and manipulating calcium signaling pathways.
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