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Although we found all systems to be controllable, we did find different degrees of controllability.
Beyond the binary test (controllable or not) there are also degrees of controllability.
Are degrees of controllability of the biological pathways different between normal and abnormal Cells?
As we will see, different systems could have radically different degrees of controllability.
Difference in stability, relative stability, degrees of controllability, and transient responses between normal and abnormal cells means considerable difference in dynamical behaviours and different functioning of cells.
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In this paper, we first introduce the concept of degree of controllability to quantify the control level of the networks.
Our results show that although a gene expression network responding to silica in both normal and SSc fibroblasts is controllable, the degree of controllability of this regulatory network between the normal and SSc fibroblasts is different.
Although controllability is a binary question, there is a measure of the degree of controllability, the idea being that the more controllable a system is the less effort is needed to move the system.
This degree of controllability has been already available in the state-of-the-art nanotechnology [25].
The proposed approach relies on certain quantitative measures of degree of controllability and observability based on the controllability and observability gramians.
Different from the previous studies, a novel index is proposed to quantify the degree of controllability using the sensor/actuator transfer function.
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