Dynamic sensitivity analysis of biological systems

Background: A mathematical model to understand, predict, control, or even design a real biological system is a central theme in systems biology. A dynamic biological system is always modeled as a nonlinear ordinary differential equation (ODE) system. How to simulate the dynamic behavior and dynamic parameter sensitivities of systems described by ODEs efficiently and accurately is a critical job. In many practical applications, e.g., the fed-batch fermentation systems, the system admissible input (corresponding to independent variables of the system) can be timedependent. The main difficulty for investigating the dynamic log gains of these systems is the infinite dimension due to the time-dependent input. The classical dynamic sensitivity analysis does not take into account this case for the dynamic log gains. Results: We present an algorithm with an adaptive step size control that can be used for computing the solution and dynamic sensitivities of an autonomous ODE system simultaneous...

• Type: Journal
• Year: 2008
• Where: BMCBI
• Authors: Wu Hsiung Wu, Feng Sheng Wang, Maw Shang Chang
• Keywords: BMCBI 2008, Dynamic Log Gains, Dynamic Parameter Sensitivities, Dynamic Sensitivity Analysis