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c_4 * x_0 | c_1 * x_2 * (c_8 + x_1) - c_2 * x_1 / (c_6 + x_1) - c_3 * x_0 * x_1 / (c_7 + x_1) | - c_1 * x_2 * (c_8 + x_1) + c_2 * x_1 / (c_6 + x_1) + c_3 * x_0 * x_1 / (c_7 + x_1)", "dim": 3, "consts": [[0.1, 0.6, 0.2, 7.95, 0.05, 0.4, 0.1, 2.0, 0.1, 0.1]], "init": [[0.005, 0.26, 2.15], [0.248, 0.0973, 0.0027]], "init_constraints": "x_0 > 0, x_1 > 0, x_2 > 0", "const_constraints": "c_0 > 0, c_1 > 0, c_2 > 0, c_3 > 0, c_4 > 0, c_5 > 0, c_6 > 0, c_7 > 0, c_8 > 0, c_9 > 0", "eq_description": "Model for apoptosis (cell death)", "const_description": "c_0: parameter, c_1: parameter, c_2: parameter, c_3: parameter, c_4: parameter, c_5: parameter, c_6: parameter, c_7: parameter, c_8: parameter, c_9: parameter", "var_description": "x_0: x, x_1: y, x_2: z", "source": "https://epubs.siam.org/doi/10.1137/20M1318043", "substituted": [["-0.4*x_0*x_1/(x_0 + 0.1) - 0.05*x_0 + 0.1", "-7.95*x_0*x_1/(x_1 + 2.0) - 0.2*x_1/(x_1 + 0.1) + 0.6*x_2*(x_1 + 0.1)", "7.95*x_0*x_1/(x_1 + 2.0) + 0.2*x_1/(x_1 + 0.1) 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x_2", "dim": 3, "consts": [[10.0, 99.96, 2.6666666666666665]], "init": [[2.3, 8.1, 12.4], [10.0, 20.0, 30.0]], "init_constraints": "x_0 > 0, x_1 > 0, x_2 > 0", "const_constraints": "c_0 > 0, c_1 > 0, c_2 > 0", "eq_description": "Lorenz equations in complex periodic regime", "const_description": "c_0: Prandtl number (sigma), c_1: Rayleigh number (r), c_2: unnamed parameter (b)", "var_description": "x_0: x, x_1: y, x_2: z", "source": "strogatz p.319", "substituted": [["-10.0*x_0 + 10.0*x_1", "-x_0*x_2 + 99.96*x_0 - x_1", "x_0*x_1 - 2.66666666666667*x_2"]], "solutions": [[{"success": true, "message": "The solver successfully reached the end of the integration interval.", "t": [0.0, 0.019569471624266144, 0.03913894324853229, 0.05870841487279843, 0.07827788649706457, 0.09784735812133072, 0.11741682974559686, 0.136986301369863, 0.15655577299412915, 0.1761252446183953, 0.19569471624266144, 0.21526418786692758, 0.23483365949119372, 0.25440313111545987, 0.273972602739726, 0.29354207436399216, 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