Computational Methods in Systems Biology
Detecting Toxicity Pathways with a Formal Framework 211 it is possible to define pathological states and enumerate the paths lea ...
212 B. Miraglio et al. Table 2.TheRthyaction network. Iintake : Ω ⇒ IB Itransf er :IB ⇒ IT when(TSH>ε∧XI=ε) TPOsynth : Ω ⇒ TP ...
Detecting Toxicity Pathways with a Formal Framework 213 Isler, H., Leblond, C., Axelrad, A.: Influence of age and of iodine int ...
Data-Driven Robust Control for Type 1 Diabetes Under Meal and Exercise Uncertainties Nicola Paoletti1(B), Kin Sum Liu^1 , Scott ...
Data-Driven Robust Control for Type 1 Diabetes 215 The concept of closed-loop control of insulin, a.k.a. the artificial pancreas ...
216 N. Paoletti et al. To the best of our knowledge, our robust MPC design for an AP is the first approach to leverage data-driv ...
Data-Driven Robust Control for Type 1 Diabetes 217 In order to faithfully reproduce real-life settings, we assume that the state ...
218 N. Paoletti et al. x ̇(t)=F ( x(t),ιt,ut ) (1) y(t)=h(x(t)) +vt (2) wherexis the 14-dimensional state vector that evolves ac ...
Data-Driven Robust Control for Type 1 Diabetes 219 Q 2 and in turn, BG concentrationG. Plasma insulin levelsIdirectly increase x ...
220 N. Paoletti et al. Nc=20andNp= 200: preliminary experiments suggested that largeNpvalues and smallNcvalues cause excessive i ...
Data-Driven Robust Control for Type 1 Diabetes 221 4.1 State Estimation This component allows to recover an estimate of the curr ...
222 N. Paoletti et al. The MHE has an important probabilistic interpretation: when N = t (unbounded horizon), the MHE problem co ...
Data-Driven Robust Control for Type 1 Diabetes 223 number of clusters so as to obtain tighter sets and more customized, patient- ...
224 N. Paoletti et al. 5.1 One-Meal Experiments We consider 300-minute simulations comprising a single meal, and three different ...
Data-Driven Robust Control for Type 1 Diabetes 225 1) Meals As Expected 2) Outliers 3) Late Meals U. sets Random D G (mmol/min) ...
226 N. Paoletti et al. (a)MM (b)O2 (^0100) Time (min) 200 300 7 7.5 8 8.5 BG (mmol/L) (c) BG (^0100) Time (min) 200 0 10 20 30 I ...
Data-Driven Robust Control for Type 1 Diabetes 227 (a)DG 0 500 1000 Time (min) 2 4 6 8 10 12 14 BG (mmol/L) (b) BG t< 3. 9 t ...
228 N. Paoletti et al. (^0) 0 4 8 121620 0 4 8 121620Time (h) 5 10 15 BG (mmol/L) t< 3. 9 t 3. 9 − 11. 1 t> 11. 1 BGminBGm ...
Data-Driven Robust Control for Type 1 Diabetes 229 6 Related Work Robust control methods are able to minimize the impact of inpu ...
230 N. Paoletti et al. Acknowledgments. Research supported in part by AFOSR Grant FA9550-14-1- 0261 and NSF Grants IIS-1447549, ...
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