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Fig. 1 | BMC Systems Biology

Fig. 1

From: Tailored parameter optimization methods for ordinary differential equation models with steady-state constraints

Fig. 1

Schematic illustration of optimization problem with steady-state constraint. a Measurement data and simulations of the system for three different pairs of parameters and initial conditions: optimum of the unconstrained optimization problem \((\theta ^{(1)},x_{s}^{(1)})\); suboptimal point on the manifold \((\theta ^{(2)}, x_{s}^{(2)} = x_{s}(u_{0},\theta ^{(2)}))\); and optimum of the constrained optimization problem \((\theta ^{*}, x_{s}^{*} = x_{s}(u_{0},\theta ^{*}))\). The system is perturbed at time t=0 and should be in steady state for t<0. b Objective function landscape, steady-state manifold and pairs of parameters and initial conditions

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