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Table 1 Summary of how to obtain numerical integration, semi-analytical, and full analytical solutions

From: Analytical study of robustness of a negative feedback oscillator by multiparameter sensitivity

  Numerical integration solution Semi-analytical solution Full analytical
Solution
τ Numerical integration of Eq (1) Eq (3)
(Eqs (7)-(8) are numerically solved)
Eq (9)
ε i Numerical integration of Eq (1) Eq (4)
(Eqs (7)-(8) are numerically solved)
Eq (10)
Φ τ Numerical computation (see Methods) Numerical computation (see Methods) Eq (12)
Φ ε i Numerical computation (see Methods) Numerical computation (see Methods) Eq (13)