Computational Methods in Systems Biology
Strong Turing Completeness 111 definition of GPAC-generable functions in terms of the solution to polynomial initial value probl ...
112 F. Fages et al. In other words, the computation offwith the argumentxconsists in putting the system in a polynomially depend ...
Strong Turing Completeness 113 input there exists an ODE system computing the result. Here this is auniform computabilityresult: ...
114 F. Fages et al. system living in the coneRn+, where the state is defined by the positive concentra- tion values of the molec ...
Strong Turing Completeness 115 Definition 8.Afunctionf:R+→R+ischemically-computableif there exist a mass-action-law reaction sys ...
116 F. Fages et al. obtained by the preceding construction. Furthermore, each monoid of the form λyα 11 ...yαmm,λ >0 appearin ...
Strong Turing Completeness 117 and degradation reactions by annihilation of the form xp+xm=> (resp. with trajectories of poly ...
118 F. Fages et al. sufficiently large rate constant calledfast, instead of with a large polynomial. The approximation error is ...
Strong Turing Completeness 119 Fig. 2.Differential and stochastic simulation traces of the compiled reactions for gen- erating t ...
120 F. Fages et al. _ = [g_m+r_p] => z4m. = [g_p+r_m] => z4m. = [x_m+r_m] => z4m. = [x_p+r_p] => z4_m. fastz4_mz4 ...
Strong Turing Completeness 121 5.1 Logistic, Hyperbolic Tangent, Arc Tangent and Hill Sigmoids For the sake of simplicity, we re ...
122 F. Fages et al. the dose-response diagram by an equation of the formY(u)≈λ u d cd+udwithdin the order of 4.9 at the third le ...
Strong Turing Completeness 123 onceR 1 is completed, one can impose an indicator of the absence of one species consumed byR 1 as ...
124 F. Fages et al. a new impetus to the study of analog computation and mixed analog/digital parallel programs. We have shown t ...
Strong Turing Completeness 125 Bournez, O., Gra ̧ca, D.S., Pouly, A.: Polynomial time corresponds to solutions of polynomial or ...
126 F. Fages et al. Fages, F., Gay, S., Soliman, S.: Inferring reaction systems from ordinary differential equations. Theor. Co ...
Strong Turing Completeness 127 Rizik, L., Ram, Y., Danial, R.: Noise tolerance analysis for reliable analog and digital computa ...
A Scheme for Adaptive Selection of Population Sizes in Approximate Bayesian Computation - Sequential Monte Carlo Emmanuel Klinge ...
A Scheme for Adaptive Selection of Population Sizes 129 parameters. However, it is often difficult to select the model and its p ...
130 E. Klinger and J. Hasenauer pair of simulated datas∈S, obtained by a stochastic simulation of the model for parameterθivia t ...
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