Dynamic Sensitivity Analysis of Biological Systems
Author Information
Author(s): Wu Wu Hsiung, Wang Feng Sheng, Chang Maw Shang
Primary Institution: National Chung Cheng University
Hypothesis
How can we efficiently and accurately compute the dynamic sensitivities of biological systems modeled by ordinary differential equations (ODEs)?
Conclusion
The proposed algorithm is an effective method for computing dynamic parameter sensitivities in stiff problems and extends classical dynamic sensitivity analysis to models with time-dependent inputs.
Supporting Evidence
- The algorithm was tested on stiff chemical reactions and an ethanol fed-batch fermentation system.
- The results showed that the new method achieved accuracy comparable to existing direct methods.
- The algorithm can handle time-dependent inputs effectively.
Takeaway
This study presents a new way to analyze how changes in biological systems affect their behavior over time, especially when the systems are complex and change rapidly.
Methodology
An adaptive step size control algorithm was developed to compute solutions and dynamic sensitivities of ODE systems simultaneously.
Limitations
The algorithm's performance may vary depending on the complexity of the biological systems being modeled.
Digital Object Identifier (DOI)
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