Computational Methods in Systems Biology
Data-Driven Robust Control for Type 1 Diabetes 231 Laxminarayan, S., Reifman, J., Steil, G.M.: Use of a food and drug administr ...
232 N. Paoletti et al. Wilinska, M.E., et al.: Insulin kinetics in type-1 diabetes: continuous and bolus delivery of rapid acti ...
Graph Representations of Monotonic Boolean Model Pools Robert Schwieger(B)and Heike Siebert Freie Universit ̈at Berlin, Berlin, ...
234 R. Schwieger and H. Siebert A similar scenario motivates the theory of qualitative differential equations (QDE) [ 4 ]. Here, ...
Graph Representations of Monotonic Boolean Model Pools 235 2.1 Boolean Networks We consider an arbitrary Boolean functionf:{ 0 , ...
236 R. Schwieger and H. Siebert In addition to the (local) interaction graph(s), we attribute tofa second graph, which describes ...
Graph Representations of Monotonic Boolean Model Pools 237 This graph will be our focus in the subsequent sections. Notions and ...
238 R. Schwieger and H. Siebert ODE-System from the functionfgiven in Example 1 by using one of the methods explained in [ 15 ]^ ...
Graph Representations of Monotonic Boolean Model Pools 239 points in the sequence the sign of the solution derivative is then co ...
240 R. Schwieger and H. Siebert (+, +, +, +) (+, +, +, -) (+, +, -, +) (-, +, +, +) (-, +, -, +) (+, +, -, -) (+, -, +, +) (+, - ...
Graph Representations of Monotonic Boolean Model Pools 241 section, we first need to adapt the notion of derivative sign vectors ...
242 R. Schwieger and H. Siebert Proof. Let (s, t)∈Easync(f). By definition of the asynchronous update diff(s, t) is either empty ...
Graph Representations of Monotonic Boolean Model Pools 243 consider monotonic functions without negative self-loops. This sugges ...
244 R. Schwieger and H. Siebert This graph, which is due to Proposition 1 the same object asGQDE(Σ), can be constructed without ...
Graph Representations of Monotonic Boolean Model Pools 245 Proof.Since{t}⊆VQDEBooleanis a trap set inGBooleanQDE (Σ),f−^1 (t) is ...
246 R. Schwieger and H. Siebert {0001} {0100} {1101, 1111, 1010, 0011, 0101, 1100, 0110, 0000, 0010, 1001, 0111, 1000} {1110} {1 ...
Graph Representations of Monotonic Boolean Model Pools 247 Construction of the graphGBooleanQDE (Σ) is easily done based on info ...
248 R. Schwieger and H. Siebert De Jong, H., Gouz ́e, J.-L., Hernandez, C., Page, M., Sari, T., Geiselmann, J.: Qualitative sim ...
Explaining Response to Drugs Using Pathway Logic Carolyn Talcott(B)and Merrill Knapp SRI International, Menlo Park, CA 94025, US ...
250 C. Talcott and M. Knapp case of drug discovery such models help to determine details of the mechanism of action (MOA) and du ...
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