%0 Journal Article %1 5174556 %A Denic, S.Z. %A Vasic, B. %A Charalambous, C.D. %A Palanivelu, R. %D 2009 %J Systems Biology, IET %K boolean network %N 4 %P 279-295 %R 10.1049/iet-syb.2008.0121 %T Robust control of uncertain context-sensitive probabilistic Boolean networks %U http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?isnumber=5174550&arnumber=5174556 %V 3 %X Uncertainty is an intrinsic phenomenon in control of gene regulatory networks (GRNs). The presence of uncertainty is related to impreciseness of GRN models due to: (1) Errors caused by imperfection of measurement devices and (2) Models' inability to fully capture a complex structure of the GRN. Consequently, there is a discrepancy between actual behaviour of the GRN and what is predicted by its mathematical model. This can result in false control signals, which can drive a cell to an undesirable state. To address the problem of control under uncertainties, a risk-sensitive control paradigm is proposed. Robustness is accomplished by minimisation of the mean exponential cost as opposed to, for instance, minimisation of the mean square cost by risk-neutral controllers. The authors derive an optimal risk-sensitive controller when a GRN is modelled by a context-sensitive probabilistic Boolean network (CSPBN). By using a relation between the relative entropy and free-energy, a relative stability of the cost achieved by the risk-sensitive controller is demonstrated when the distribution of the CSPBN attractors is perturbed, as opposed to the cost of the risk-neutral controller that exhibits increase. The use of the relation between the relative entropy and free-energy to analyse the influence of a particular attractor on the robustness of the controller is studied. The efficiency of the risk-sensitive controller is tested for the CSPBN obtained from the study of malignant melanoma.

@article{5174556, abstract = {Uncertainty is an intrinsic phenomenon in control of gene regulatory networks (GRNs). The presence of uncertainty is related to impreciseness of GRN models due to: (1) Errors caused by imperfection of measurement devices and (2) Models' inability to fully capture a complex structure of the GRN. Consequently, there is a discrepancy between actual behaviour of the GRN and what is predicted by its mathematical model. This can result in false control signals, which can drive a cell to an undesirable state. To address the problem of control under uncertainties, a risk-sensitive control paradigm is proposed. Robustness is accomplished by minimisation of the mean exponential cost as opposed to, for instance, minimisation of the mean square cost by risk-neutral controllers. The authors derive an optimal risk-sensitive controller when a GRN is modelled by a context-sensitive probabilistic Boolean network (CSPBN). By using a relation between the relative entropy and free-energy, a relative stability of the cost achieved by the risk-sensitive controller is demonstrated when the distribution of the CSPBN attractors is perturbed, as opposed to the cost of the risk-neutral controller that exhibits increase. The use of the relation between the relative entropy and free-energy to analyse the influence of a particular attractor on the robustness of the controller is studied. The efficiency of the risk-sensitive controller is tested for the CSPBN obtained from the study of malignant melanoma.}, added-at = {2009-10-02T22:59:23.000+0200}, author = {Denic, S.Z. and Vasic, B. and Charalambous, C.D. and Palanivelu, R.}, biburl = {https://www.bibsonomy.org/bibtex/2138a70b4292400fab36deaf8d3947f70/wnpxrz}, description = {Welcome to IEEE Xplore 2.0: Robust control of uncertain context-sensitive probabilistic Boolean networks}, doi = {10.1049/iet-syb.2008.0121}, interhash = {26b4edf0d9f5c566dbf2458ff99cdb53}, intrahash = {138a70b4292400fab36deaf8d3947f70}, issn = {1751-8849}, journal = {Systems Biology, IET}, keywords = {boolean network}, month = {July }, number = 4, pages = {279-295}, timestamp = {2009-10-02T22:59:23.000+0200}, title = {Robust control of uncertain context-sensitive probabilistic Boolean networks}, url = {http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?isnumber=5174550&arnumber=5174556}, volume = 3, year = 2009 }