Computational Methods in Systems Biology
Detecting Attractors in Biological Models with Uncertain Parameters 51 d[dtX]=k 1 Kyn 11 Kny 11 +[Y]n 1 · Knz 12 Knz 12 +[Z]n 2 ...
52 J. Barnat et al. pRB E2F1 d[pRB] dt =k^1 [E 2 F1] Km 1 +[E 2 F1] J 11 J 11 +[pRB]−φpRB[pRB] d[E 2 F1] dt =kp+k^2 a^2 +[E 2 F1 ...
Detecting Attractors in Biological Models with Uncertain Parameters 53 Table 1.The second and third row represent the number of ...
54 J. Barnat et al. Selection heuristics.We also compare three state selection heuristics.None is the na ̈ıve heuristics which s ...
Detecting Attractors in Biological Models with Uncertain Parameters 55 showing a significant speed-up w.r.t. the na ̈ıve approac ...
56 J. Barnat et al. Collins, P., Habets, L., van Schuppen, J., Cern ́ˇ a, I., Fabrikov ́a, J., ˇSafr ́anek, D.: Abstraction of ...
Abduction Based Drug Target Discovery Using Boolean Control Network C ́elia Biane and Franck Delaplace(B) IBISC, Univ Evry, Univ ...
58 C. Biane and F. Delaplace to assess the shift between normal and pathological conditions [ 31 ] and to pre- dict the appropri ...
Abduction Based Drug Target Discovery Using Boolean Control Network 59 by control parameters based on abduction principle (Sect. ...
60 C. Biane and F. Delaplace 2.2 Boolean Network ABoolean networkis a discrete dynamical system operating on Boolean variables X ...
Abduction Based Drug Target Discovery Using Boolean Control Network 61 Aninteraction graph〈X, 〉portrays the causal interactions ...
62 C. Biane and F. Delaplace Boolean control network provides a general framework for dynamical system reprogramming. Indeed, le ...
Abduction Based Drug Target Discovery Using Boolean Control Network 63 D-Freezing Control Implementation.The D-freezing control ...
64 C. Biane and F. Delaplace standing for a property, the PoP and NoP inference problems are defined as follows: Find a control ...
Abduction Based Drug Target Discovery Using Boolean Control Network 65 formulated as abduction problems in propositional logic ( ...
66 C. Biane and F. Delaplace The method, calledILP-Core, operates on a formulafin CNF and com- putes the set of all the coresK∗. ...
Abduction Based Drug Target Discovery Using Boolean Control Network 67 circuit which were assimilated here to malignant mutation ...
68 C. Biane and F. Delaplace EGFR =¬BRCA1 ERK1/2 = EGFR PI3K =¬PTEN∧EGFR AKT=PI3K GSK3β=¬AKT MDM2 = AKT∧TP53 TP53 =¬MDM2∧(BRCA1∨ ...
Abduction Based Drug Target Discovery Using Boolean Control Network 69 Since the proliferative activity of cells depends on the ...
70 C. Biane and F. Delaplace Table 1.Freezing actions causing the gain or loss of apoptosis. Health→Cancer: necessary loss of a ...
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