{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Delayed Nonlinear Negative Feedback Oscillator\n", "\n", "Implement the 3-state model of Brian Goodwin (B.C. Goodwin, Oscillatory behavior in enzymatic control processes, Adv. Enzym. Regul. 3 (1965) 425e437).\n", "\n", "The parameters are\n", "- alpha_1: maximal rate of X's transcription\n", "- K : activation threshold for Z on X\n", "- n : Hill coefficient\n", "- gamma_1: rate constant for degradation of X\n", "- alpha_2: rate constant for X causing production of Y\n", "- gamma_2: rate constant for degradation of Y\n", "- alpha_3: rate constant for Y causing production of Z\n", "- gamma_3: rate constant for degradation of Z\n", "\n", "The model is\n", "\\begin{eqnarray*}\n", "\\frac{dY}{dt} &=& \\alpha_1 \\frac{K^n}{K^n+Z^n} - \\gamma_1 X\\\\\n", "\\frac{dY}{dt} &=& \\alpha_2 X - \\gamma_2 Y\\\\\n", "\\frac{dZ}{dt} &=& \\alpha_3 Y - \\gamma_2 Z \\\\\n", "\\end{eqnarray*}\n", "\n", "(Equations as presented by D Gonze & P Ruoff, The Goodwin Oscillator and its Legacy, Acta Biotheoretica, 2020)\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "def goodwin_oscillator( t, statevars, params ):\n", " X = statevars[0];\n", " Y = statevars[1];\n", " Z = statevars[2];\n", " alpha_1 = params[0]\n", " K = params[1]\n", " n = params[2]\n", " gamma_1 = params[3]\n", " alpha_2 = params[4]\n", " gamma_2 = params[5]\n", " alpha_3 = params[6]\n", " gamma_3 = params[7]\n", " \n", " dydt = np.zeros( (3,) )\n", " dydt[0] = alpha_1*K**n/(K**n+Z**n) - gamma_1*X\n", " dydt[1] = alpha_2*X - gamma_2*Y;\n", " dydt[2] = alpha_3*Y - gamma_3*Z;\n", "\n", " return dydt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulate the model\n", "\n", "Simulate the model with parameters from Figure 2 (with n modified) from B. Ananthasubramaniam, C. Schmal and H. Herzel, Amplitude Effects Allow Short Jet Lags and Large Seasonal Phase Shifts in Minimal Clock Models..., Journal of Molecular Biology.\n", "\n", "- alpha_1 = 1\n", "- K = 0.61\n", "- n = 11\n", "- gamma_1 = 0.15\n", "- alpha_2 = 1\n", "- gamma_2 = 0.15\n", "- alpha_3 = 1\n", "- gamma_3 = 0.5\n", "\n", "We will assume the model reaches its limit cycle within 200 hours of simulation. Simulate the model first for 200 hours. Then start a new simulation from the end time point of the first simulation. " ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "import scipy.integrate\n", "\n", "alpha_1 = 1\n", "K = 0.61\n", "#K = 0.4\n", "#K = 0.3\n", "n = 11\n", "gamma_1 = 0.15\n", "alpha_2 = 1\n", "gamma_2 = 0.15\n", "alpha_3 = 1\n", "gamma_3 = 0.15\n", "\n", "params = (alpha_1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3)\n", "\n", "mf = lambda t,y : goodwin_oscillator(t,y, params)\n", "\n", "sol1 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,.1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", "sol2 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,100), y0=sol1.y[:,-1], \n", " t_eval=np.arange(0,100,.1) )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the simulation\n", "Plot both simulations in separate subplots. The first should show the transient (the path it takes to reach the oscillation's limit cycle). The second should show the oscillation on its limit cycle)." ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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aoKSUee73YuArYLQnp99e3aUFX1v6R/bnqbFPsaZ4Dc/+/qxPP6BMURSlIzyWoIQQQUKIkKbPwCRgk6emfyyyK7MJ9w8nyhKlx+y97vw+53Pr4Fv5YucXfLLtE73DURRF8QpPPrAwFvjK3WrOBHwipfzRg9Nvt+yKbPqF9+sWLfgO5+6T7ia7MpsXV71IbGAsZ6WcpXdIiqIoHuWxEpSUcreUcqj7NUhK+aynpn2McZBdmd3trj8dzCAMPD/heQZHD+bhJQ+rR3MoitLtdLtm5k1P0U2PSNc7FK8LNAfyxsQ3SAlN4Z6F97C+ZL3eISmKoniMJ6v4fMLOip3AQQ0kCtbDhv9A/jqoLwO/IIjpDynj4ITJENR1r1WF+YfxztnvcP3c67lt/m28OfFNhscO1zssRVGUDut2JajsymzA3cS8sQa+nAb/PhVWvgNOG0T1Bb9A2PkTfHMnvNQPPvsj7F4MXbRFXExgDO9Pfp+YgBhuX3C7qu5TFKVb6HYlqOzKbHoF9CLMYYcPLoSS7TDhQRj7JwgIbxlRSihYB5u+hLUfwbbvIXEknPk49DkDulgDi7igON6f/D7T5k/jrp/v4rkJzzE5dbLeYSmKohy3bleC2lmxk35hfeDjy6F8N1z7BUx84sDkBFoCSjgJJj0D92+BC1+F2iL48BJ4/zzY1/VKIdEB0bx/zvtkRGfw0OKHeGv9W+o+KUVRuqxulaCcLie7q3bTt7oY8tfAZbOg7xlH/0dzAIy4Ef60Gs57SUts70+GT66Coi1ej9uTwvzDmDlpJhf1vYg3173Jw0seps5ep3dYiqIox6xbVfHtqdpDo7ORAftWwahbYMD5xzYBkz+MvhWG/RF+fxuWvgJvjYWhV8MZj0J4b6/E7Wl+Rj/+Nu5v9Anrw2trX2NL2Rb+cdo/GBg1UO/Qmrmki71Ve9lctpn9NfspqS+h3lEPgEmYiAqIIjogmt4hvTkh8gQSghK69X1tiqIcqlslqC1lmwEYKALhrBnHPyG/QJhwv1aqWvpP+P0d2PQ5jLoVJjzQJVr9CSG4efDNDI0ZyiO/PsK1P1zL3SfdzfUDr8dk0Ge1SylZXbSauXvmsmD/Asqt5VqsCCItkQSZgxBCYHPaKGsow+ayNf9vsDmYoTFDGRk3kpGxIxkUNQiz0azL71AUpXMIva5RjBw5UmZlefaZhs/P/xNf5v7C8oF/xjjmNs9NuCoXFv0d1n0CfsEw9s9wyp1ac/UuoNJayYzlM/h5/8+cGHkiT459kkFRgzpt/lJK5u6Zy/ub32db+TYCTAFMSJzA+MTxDI4eTEpYCmaD+ZD/qbZVs6dqDzsrd7KtbBtritc0t9IMMgcxNmEspyadyoTECUQF+P5Jg6IobRNCrG7rGYLdKkFdP3sMsrGGD29cA2aLR6cNQPE2+OUZrcVfcCyc9jAMvwG6wJm8lJIF+xfw3O/PUW4t5/ITLuf2obcTHRDt1fnurtrN08ufZnXRavqE9eH6gddzXp/zCDAFHNf0yq3lrClaw2/5v7E4dzHF9cUIBIOjB3Na8mmclnQaJ0Sc4BPVgVaHlc1lm9lZsZP82nwK6gqos9fR6GxEIAg0BxJkDiLKEkV8cDyJwYn0Du1NSkgKRoNR7/AVpdN0+wTlLNvJKd9O4ZLQATz6hy88Nt025ayEBTNg3zKISINT7oJh13SJElW1rZrX177Of7f/F7PRzNRBU7lu4HUE+wV7dD6NzkZmbpzJzI0zCTAF8MCIB7gk/RIMwnPtcqSUbCvfxuLcxSzOWcymMq1v4oSgBE5PPp3Tkk9jVOyoTq0K3Fu1lwX7F7AwZyFbSrfgkA4AzAYz8UHxBPsF42/0R0pJvaOeOnsdpQ2lNDobm6dhMVpIj0inf2R/BkUN4qReJ5EWlubRZXesqm3VbCrZxNbyrWRXZlNcX0xxfTE1thqc0onT5cRishDiF0KoXyhxQXEkBCeQGJxISmgK/SP6E24J1y3+1lzSxb7qfeyp2kNRfRFFdUXU2euwu+w4pZMAUwBB5iCCzcHEBsUSHxRPfFA8sYGxPnXi4HA5KKovIrcml+L6YhocDdTb63FKJ/5Gf/yMfoT5h9ErsBfRAdH0CuyFv9Ff77Db1O0T1LafHuHygh94bsRDXJhxvceme1hSws75WtVf/hqwhGvXrEZPg7BE78+/g/ZV7+PVNa8yf998gs3BXNH/Cq498VpiAjv+nK6VBSt5ZsUz7K3ey/l9zufBkQ96vaQGUFJfwpLcJSzKWcSKghVYnVaCzEGMSxjH6cmnc2rSqYT5h3l8vo3ORn7c8yNzts9hY+lGADKiMhgTP4ahMUM5MepEegX2OmyCkVJSZi0jvzafPVV72Fa+jR0VO9hWvo1qWzUAoX6hDI0Zykm9TmJYr2FkRGccdym0vapt1Szcv5B5e+exvGA5DpeWbGMDtYN2TGAMoX6hmAwmjMKI1WmlxlZDdWM1BXUF5NflN/8PQK+AXpwQeQInRJzAiVEnMjByIMkhyZ1S2m06cViat5StZVubG+SA1ign0ByIv9EfgzA0H+ibTi6a+Bv96RPWh37h/UiPSKdfeD8GRA4gOiC6U35Dvb2e5fnLySrKYkPJBraWb8Xuav8z4QSCxOBE0sLSSAtLo294X06MPJF+4f10v57brROU1ebgs/dG8nKgk/mXzScuKM4j020XKbUS1Yo3YOt32rB+Z2klqv7naS0Dfdjmss28v+l95u+bj1EYOTvlbC5Nv5RRcaOO+Yy9wlrBS1kv8e2ub0kOSeYvJ/+FsQljvRT5kTU4Gvi94HcW5Sxice5iShtKMQojw3oN44zkMzg16VRSQ1M7dGDJq81jzvY5fLXzKyobK0kLS+Oy9MuYlDrJI9uglJJ91ftYW7yW9SXrWVu8lt1VuwHtoDogcgDDeg1jWK9hnNTrJHoF9urwPGtsNSzM0ZLSb/m/4XA5SAhKYFLqJMYljuPEyBPbneSdLiclDSXsqdrDjoodbC/fzvaK7eyu2t2cuELMIQyIGsDAyIFa0ooaSEpoSodLi1JKtpZv5ef9P/Pzvp+bH2J6YuSJDOs1jBMjTyQ9Ip24oDgiLZGHzE9KSYOjgcL6QgprC8mvy2dv1V6yK7PZWbmT4vri5nEjLZEMiBxA/8j+DIgYwIDIAaSEeqaatqyhjMW5i1m4fyHLC5bT6GzEYrQwMGogg6MHkxaWRlJIEr0CexFsDj6goVGjs5HKxkpK6ksoaSghv1b7DXuq97C3ai9WpxXQSvfpEekMjBqovSIHkh6Rjp/Rr8Pxt1e3TVBSSh5+4xPshr/yu38Udw78D5eNSCbAT4eieMU+WPMBrP8MqvO0UtWgKTDgQkg7FUydt8KP1f7q/Xy09SO+3/09NbYakoKTOK/PeZzV+ywGRA444oHc6XLy+Y7PeX3d69TaapmaMZVpQ6ZhMXnhOuBxcEkXm0s3syh3EYtyFrGjYgegndGPjBvJ6LjRjIob1a6zeZd0sSJ/BZ9u+5TFuYsxCANnJJ/BVQOuYnTcaK+fSVc1VjUnq7XFa9lUuqm5ejAxOFFLWDFawuoX3q9dB8mqxiqW5C7hp70/sSx/GXaXnfigeCalTOKc1HPIiM7w6O+yOW1kV2azpWwLW8u2srV8K9vLtze32gw0BTIgcgADowY2l7RSw1KP2vrU7rKztmgtC3MW8sv+X8ivy8cgDIyIHcHE3hOZ2Huix05eqxqr2FGxo7mku718OzsrdzYn3tbVtAMitOR1QsQJBJoDjzrtvVV7WZSziIU5C1lbvBaJJCEogTN7n8mZvc9kWK9hhzQqOlYu6SK3Jpct5VvYUraleV00ldhNwkSf8D4MiBzAiZEnMiBSS7yevhTQpNsmqJV7yvn9vT8zp88ajM7R7Nt1OeGBZq4dk8JlI5JIjdbhupDLCbsXaa3+dvwItlrwD4X0s6HvRC1ZhSd3flztYHVYWbB/AV/v/JpVRatwSRcJQQlMSJrAsF7DGBo9lLigOIwGI4V1hSzJXcLHWz9mb/VeRsWN4rHRj9EvwrcfdZJfm8/SvKVkFWaxqmgVpQ2lgNYTx4DIAfSP6E96RDrRAdEEm4OxOq3k1OSwsWQjC3MWUtJQQqQlkstOuIzLT7i8c0vsB7E77Wwr38ba4rWsK1nH2uK1zb8nwBRAWlga/cL70SesD70CexHqF4pEayGZXZnNhpINrCteh1M6iQuKa05Kg6MHd2pDE7vLzu7K3Wwt39p8sNxesZ0GRwOgHfD7R/ZvLvkEm4MxG83U2mrJr8tnW9k2soqyqLXXYjaYGZswlom9J3Ja8mlEWiI75zc47eyu2s32iu3NSat1Na1AaNfjIvvTP6I/0QHRWEwWrA4rZdYydlbsZEPJBnJrcwHoH9G/OSn1j+jv9fUhpSSvNo8tZVvYVr6NreVb2Va+rXl7AkgOSaZfeD8SghOID4onPTydsYkdryXptgnq0c/XMXbnFTyW4M/Lp71MJCN5Z8lu5m8tQkrISAzlvMHxnJoew8D4UAyGTm7dZbfCnsVay7/tc6GuRBsekQqpEyB5DCQMg5gBPtcasNxazuKcxfy8/2eyirIO6JHCIAy4pAuAgVEDuWXwLZzV+yyfaD13LKSU7K3ey6rCVawvWc/28u3sqtp1wLWTJgGmAMYnjufslLOZ2Htip1aBtFfTQWZt8Vq2lG0huzKb3ZW7KW4oPmRck8FEeng64xPHc3ry6WREZ+jaEONgTpeTvdV7tYTlTlzbyrcd0jOKQRhIDU1lWK9hnJp0KqfEn9KukkpnkFJSVF/EtvJtByStpiTUWq+AXgyOGcyouFGckXwGCcEJOkR8qNKGUraWbW1OWnuq9jS3SD05/mTenfRuh+fRLROU1e7ktmf/RVr0q/wQFsHiq5c1XzjOr2zgh40FfLehgPU5lQBEBJo5uU8Uw5LDyUgMIyMhjLDATkwKLheUbIU9S2DPr7B3KTRWaX8zWSBusPaKPgGi0iE6HcKSwaD/QcPpcpJdmc3mss0U1RfhcDmICYhheOxw0sPTtcQkJdSVQsVesFaCtUorPSJAGLSXOUArTfqHtLwsoeAX4hO/E7Qz4f01+ym3llNrq8VishAbFNulm3/X2Goot5ZT3ViNwWAg2BxMQlCC7hfHj5VLupp7HbE5bYT4hRBpifSZ6uT2qrXVUtlYSaOzEX+jP5GWSJ9Jqu3RdJ9ig6PBIzUInZKghBCTgVcBIzBTSvn84cb1RIL6fkM+5V9dx6spRVzYbwozxv+tzfGKqq38tquUZdllrNhdRm5FQ/PfEsIspEYHkRIVRFp0IL0jA4kJsdArxJ+YEH8sZi8ekFwurd+//LUtr6LNLUkLtMQV3htCEyA0SXsPS4SQBAiMgsAICIgES1jn98DuckHRRq06c9dCrTWjteqo/9YmYdB+gyVMu3YXEH7QZ/f3ps/Nw9zDjV7uHUNKrfRbuhPKdkL5HqgvhfoKLRm7HCBd2guhJWJzgLb+zIHafXl+wdqtCM2v4MN8DtHeTf7eXacul9ZBclUuVO2H6nztETWNtdqJhXS2nFgIAxjM2m/yC9Z6WzEHtvE5SPvuF+z+3QGds106bNp136pc7WWtBFsd2OvB0ajFIIxgMGq/xeQP5lbrwhx40OdA998DwRTQOSdPLpf2vLrqPG1d1BWDvUH7DfYGbRs0GN2/o2l9uGP1C2qJ9+D1Yg70/rbUQV5PUEIII7ADOBvIBVYBV0sp2+xttaMJymar4/H3bmGTeS2VfoF8cen37S4Sl9fZ2Jxfxca8KrKLatlTVse+snrK62yHjBtqMREd4k+oxUyIxdT8rr3MBPoZ8TcZ8DcZ8TcbWj6bDPibtXeDEBgNrV5CYDRq7wYDmAyGls9CYLCWYijLRpRlI8p2IqpyEE0bbW0hwl21dgCDCQKaklVoGwe9Vt9NFjD6uV/mls8m7V0azLgMfriEAZfLhXQ5kS4n1kYbVaV5NBTtxr8wi9iK1QQ5KgEo9E9jf/BQqoLSqA1MwhkQhbCEYfAPxmI2YDEJLEaBRTQSIOuxOOsx2msxO2ow2Wow2qox2aowNlZhtFVjsFZiaKxCNFYhrJUI56HrpjXpF+xOXC1JTviHaDumydLq3XLod4MRCTicThwuicPpwtlQg6OmGFmdj1/5DgIqd+Bnq2yen1OYaPSLxO4Xjt0vVDtYGIwIg0BIidHViNFpxei0YnA0aO/2egytmjcfjRTGw65HeUhiC3YnA2OrhGLAKQU2p8TWUIOzvhJXXTnG6v34V+8joHY/RndLrtacpiCcpgDtN+FCyKaXA4O9AeE68ro44DcgWh34g1oOpk0JzD8I0ZQoTP7admwwadulwYzLYMKJEQdGXE4HLlsdrsZ6XA0VGKrzMNbkY67Nw6+hGMGhxzKXMCKN/uD+Ddq7s81xj/g7zIHIpoO9O3kJP+2zaE4M2rs0+iMNJqQwIg1GpNA+uwwmJAJpb8DVWIvLWouoLcJQnYupJhdzXSGGwyxbiQAh2t732xO/MLQkK/dvaPo9wv1ZNP8292eDO6EbTCCMuIS2HhwucNgacNnqkSHxRJzS8dt6OiNBnQLMkFKe4/7+KICU8u9tjd/RBFVTU8EF/xlPEH48d+7bDEsYc9zTalLVYCe3op7imkZKqhspqW2kuNpKaa2NaqudGquj+b3GasdqP76NpSNMOIihijhRTrioJZIawkUNkaKGCPf3YNFAII0EYiVIaO+BWAkQ7T+wHE2ujGY1A9nkfxKrDEMokhFY7U4a7E6vLBd/bIRRR5ioI9T93vK9XvvuHhbqHieQRizChj/25pdBHNv2Xi0D2SGT2OFKYqdMZJdMYLdMIF9G4TqOhwEIXARgIwgrgcKqvbdaT0HC/Z1GAoWVYLR12Tzc/X7AMKwY2/m76qQ/+TKavTKOvTKWfTKWPBlNnoymUEZSQwDyKL/LhINAGgmgkUDR2LytBTZva43Nvy1ANDb/xkDRqP2uVuMGCSsBaOP44Wj3+mmUZvJkFPkyigIZRR7Rzb8jX0ZRKYOpx4INE3BoycGMg4BWyzEA9+8QLfG1Hhbgjjug+fc2HvBZG0ebjp9wtus32KWRUsKa4y6QUeTLSIpkJAUyklIZRh0WrPjRiNn9OyQGJEZcLevhgDisB8WnxRQgbO51Zm31ueV/W8Y5tt+wxW8IAx/7tV3jHklnJKjLgMlSylvc368Dxkgp7241zjRgGkDv3r1H7Nu3r0PzzM1bR3DYiYQH63Ovkc3hotHhpNHhwmrX3hvtLcO0705cUuJ0gVNKnC4XThe4XBKHS+KUsvmzy/3d6dLWiZQSKWk+19M+y1afW/5wtHGkBKQDs9OKydWIQTowOG2YcGCWdkw4MEkHZhyYsGOSDkw4tWoBgxEhjJhMJoKj4gmLSyMhIYmwgLavX0gpm5eJ1e5qlbhavjtcLcvC4XLhkhKHU7YsK5cLZ9Nykdp78+9wz6Ot33jIb28aD5AuiUE6MLqsGF02TK5GjK5GhHRhMhrwMxrwMxkwGw0I/2CMwTEEBgYR5G8iyN9IkJ+JIH8TQoDTJbE7Xe53ecB3h8uFw6nF3FQi095b/uZ0Seyu1v/vap7OMXOX2Mwuq1bSaSr14MIkIMAs8LOEYAoOI8ASQIDZRKCf0V36N+Jwz9vudGFzavEd/Fua1kXLu6vlu/vvkpbttWldtD68tN6eW/+9aT1JAJcTIe0IlxOzcOKHC3+j9m4wmRB+QRjMgZj9/QnwM2ExG90vreZCCFptRy37V8tn2hjWst81bX9Nw5r3S1db02yZlktKjAaBEAIDLkzIpnKfO5k4MeLEgAuXKQDhH4zZ7I+fSdvmmra9ppfZYGg+XtidBy33VtvWId+btjWXPGR/aL0e2jw+0LJOhHSCdGGQToR0IKQTswCL0YW/QWL0D8ToH0hsRBjj0jt+c//hElSndmstpXwHeAe0ElRHp5eUOKyjk+iQpo0pRNcofI8QovnAoSiKcrw8eeUvD2h9c0+Se5iiKIqiHDNPJqhVQLoQIk0I4QdcBXzrwekriqIoPYinm5mfB7yC1sx8lpTy2SOMWwJ07CKUJhooPepYvkPF610qXu9S8XpXT403RUp5yMUs3W7U9RQhRFZbF9d8lYrXu1S83qXi9S4V74F849Z9RVEURTmISlCKoiiKT+oOCeodvQM4Ripe71LxepeK17tUvK10+WtQiqIoSvfUHUpQiqIoSjekEpSiKIrik7psghJCTBZCbBdCZAshpusdz8GEEMlCiIVCiC1CiM1CiHvcw2cIIfKEEOvcr/P0jrWJEGKvEGKjO64s97BIIcR8IcRO93uE3nECCCH6t1qG64QQ1UKIe31t+QohZgkhioUQm1oNa3OZCs1r7m16gxBiuI/E+w8hxDZ3TF8JIcLdw1OFEA2tlvXbPhLvYbcBIcSj7uW7XQhxjo/EO6dVrHuFEOvcw3Vdvkc4hnXe9qt14Ni1Xmg3Au8C+gB+wHpgoN5xHRRjPDDc/TkE7VEkA4EZwIN6x3eYmPcC0QcNexGY7v48HXhB7zgPsz0UAim+tnyBU4HhwKajLVPgPGAuWrfVJwO/+0i8kwCT+/MLreJNbT2eDy3fNrcB9/63HvAH0tzHEKPe8R7095eBv/rC8j3CMazTtt+uWoIaDWRLKXdLKW3AZ8DFOsd0ACllgZRyjftzDbAVSNQ3quNyMfCB+/MHwBT9QjmsicAuKaUneibxKCnlEqD8oMGHW6YXA7OlZgUQLoSI75RA3dqKV0r5k5TS4f66Aq2fTZ9wmOV7OBcDn0kpG6WUe4BstGNJpzlSvEIIAVwBfNqZMR3OEY5hnbb9dtUElQjktPqeiw8f/IUQqcBJwO/uQXe7i8CzfKXKzE0CPwkhVgvt0SgAsVLKAvfnQiBWn9CO6CoO3Kl9dfk2Odwy7Qrb9U1oZ8lN0oQQa4UQi4UQE/QKqg1tbQO+vnwnAEVSyp2thvnE8j3oGNZp229XTVBdhhAiGPgCuFdKWQ28BfQFhgEFaEV6XzFeSjkcOBe4Swhxaus/Sq0c71P3JQitY+KLgP+6B/ny8j2ELy7TwxFCPA44gI/dgwqA3lLKk4D7gU+EEKF6xddKl9oGWrmaA0+0fGL5tnEMa+bt7berJqgu8WgPIYQZbcV+LKX8EkBKWSSldEopXcC7dHIVw5FIKfPc78XAV2ixFTUV093vxfpF2KZzgTVSyiLw7eXbyuGWqc9u10KIG4ELgD+6D0q4q8rK3J9Xo13TOUG3IN2OsA348vI1AZcCc5qG+cLybesYRiduv101Qfn8oz3c9cnvAVullP9sNbx1newlwKaD/1cPQoggIURI02e0C+Ob0JbrDe7RbgC+0SfCwzrgrNNXl+9BDrdMvwWud7eGOhmoalWVohshxGTgYeAiKWV9q+ExQgij+3MfIB3YrU+ULY6wDXwLXCWE8BdCpKHFu7Kz4zuMs4BtUsrcpgF6L9/DHcPozO1XrxYiHX2htRjZgXZW8bje8bQR33i0ou8GYJ37dR7wIbDRPfxbIF7vWN3x9kFr4bQe2Ny0TIEo4GdgJ7AAiNQ71lYxBwFlQFirYT61fNGSZwFgR6uTv/lwyxSt9dMb7m16IzDSR+LNRru20LQdv+0e9w/ubWUdsAa40EfiPew2ADzuXr7bgXN9IV738Ezg9oPG1XX5HuEY1mnbr+rqSFEURfFJXbWKT1EURenmVIJSFEVRfJJKUIqiKIpPUglKURRF8UkqQSmKoig+SSUoRWknIURUq56lC1v1mF0rhHjTS/O8VwhxvfvzIiHEyDbGGSyEyPTG/BVFTya9A1CUrkJqd/UPA+2RDkCtlPIlb83P3bvATWi9Xx8pro1CiCQhRG8p5X5vxaMonU2VoBSlg4QQpwshvnd/niGE+EAI8asQYp8Q4lIhxItCe87Wj+6uYxBCjHB3ALpaCDHvML0+n4nWjZOj1bDLhRArhRA7Duo89Du0HlUUpdtQCUpRPK8vWnK5CPgIWCilHAw0AOe7k9S/gMuklCOAWcCzbUxnHLD6oGEmKeVo4F7gyVbDs9B6w1aUbkNV8SmK582VUtqFEBvRHqb4o3v4RrSH0PUHMoD5WndnGNG6vzlYPNozeFpr6rBztXtaTYqBBA/Erig+QyUoRfG8RgAppUsIYZct/Ym50PY5AWyWUp5ylOk0AJa2pg04OXD/tbjHV5RuQ1XxKUrn2w7ECCFOAe2RBkKIQW2MtxXo185pnoBv9tyuKMdNJShF6WRSShtwGfCCEGI9Wi/RY9sYdS5wahvD23IG8D+PBKgoPkL1Zq4oPkwI8RXwsDzwMeAHj+MPLEZ7IrLjcOMpSlejEpSi+DAhRH8gVkq55AjjpAOJUspFnRaYonQClaAURVEUn6SuQSmKoig+SSUoRVEUxSepBKUoiqL4JJWgFEVRFJ+kEpSiKIrik1SCUhRFUXySSlCKoiiKT1IJSlEURfFJKkEpiqIoPkm3x21ER0fL1NRUvWavKIqi+IjVq1eXSiljDh6uW4JKTU0lKytLr9kriqIoPkIIsa+t4aqKT1EURfFJ6om6XialpKi+iJyaHCobKwEINgeTGJxIUkgSBqHOERRFUdqiEpQXSCnJKsri213fsjx/OUX1RW2OF+oXyojYEZyTeg5n9j6TAFNAJ0fa/ZU2lPJr7q+sL1nPnqo9lDaU4pRO/I3+xAfH0yesDyNjRzI6bjTBfsF6h9stSSnJrcklqyiLfdX7KK4vblkHQfH0Ce/D8F7DiQk85BKE4kE1tho2lmxkX80+yhrKkEgsRgsJwQn0De9Leng6RoNR7zAPoBKUB0kp+SXnF15f+zrZldmEmEMYmziWEbEjSAlNIcoSBUC1rZqcmhzWl6xnWd4yFuYsJNAUyGUnXMb1A68nNihW51/StUkpWVGwgg82f8DyguW4pItQv1DSI9IZFDUIk8FEg6OBvNo8sgqz+HDLh/gb/ZnYeyJ/SP8Do+JGIYTQ+2d0eeXWcr7c+SVfZ3/NvmrtEoNJmIgJjMFsMNPgaKC0oRSJ9sifjKgMzu9zPhf0uYBwS7iOkXcf9fZ6/rfnf3y/63vWFq9tXtYCbftu+g7aCfP4xPFc3O9ixsSN8YlkpdvzoEaOHCm7UyOJ3JpcnvztSVYWriQ1NJVbh9zK2SlnH7VU5JIuVhet5oudX/Djnh8xCAPXDLiG24fers7oj0N2RTbPrHiGNcVr6BXQi4v7XczktMn0C+/XZnWqzWljfcl65u2dxw97fqDGVsPQmKHcMfQOxiWO0+EXdH319npmbZrF7C2zaXA0MCJ2BJNTJzM6bjQpoSkHHPhsThvby7ezsnAl8/bOY2v5VgJMAfwh/Q/cMOgG4oLidPwlXZfdaefjrR/z/ub3KbeWkxaWxjmp5zC813D6hfcj0hKJ0WDE6rCSV5vH1vKtrMhfwS85v1BjqyExOJGbMm5iSr8p+Bn9vB6vEGK1lHLkIcNVguq4H/f8yJO/PYkQgvtH3M+l6ZdiMhx74TSnJod3N7zL19lfE2mJ5P6R93NhnwvV2Xw7uKSLmRtn8tb6twg2B3PXsLu4NP3SY9q5rA4r3+76lpkbZ1JQV8BpSafxyOhHSA5J9mLk3UtWYRZPLHuC3NpcJqVM4s5hd9I3vG+7/39HxQ4+2PwBP+z+AbPRzE0ZN3HjoBuxmCxejLp7WV+ynhm/zSC7MpuxCWO5bchtnNTrpHYdRxqdjSzMWcjszbPZWLqR+KB4Hhz5IGennO3V49DhEhRSyiO+gFlAMbDpMH8/HagC1rlffz3aNKWUjBgxQnZ1LpdLvrbmNZmRmSGv++E6mVeT55HpbirZJK/53zUyIzND3v3z3bKkvsQj0+2uqhur5V0L7pIZmRnyoUUPybKGsg5Nz+awycxNmXL0R6Pl8NnD5bsb3pUOp8ND0XZPLpdLztwwUw7OHCzP/eJcmVWY1aHp5VTnyPsX3i8zMjPkpP9Okr/l/eahSLsvl8slP9z8oRz6wVB51n/PkotzFndoWstyl8lLv7lUZmRmyJvn3Sz3Vu31YLQHArJkW/mlrYHywAR0KjD8KAnq+6NN5+BXV09QTpdTPrP8GZmRmSH/uuyv0uaweXz6szfPlsNnD5cTPp0gl+Qs8ej0u4uyhjJ52beXyWEfDJOfbP1Eulwuj027sLZQ3rfwPpmRmSFvmHuDx05Auhub0yanL5nefIJQZ6vz2LRXFqyUF3x5gczIzJDPLH/Go9PuThxOh3xi6RMyIzND/unnP8nqxmqPTNfutMuPt3wsT/n4FDnqo1FyzrY5Ht3Hmhx3gtL+l1SVoFo4XU759G9Py4zMDPnPrH96ZYU1ya7Iln/45g9ycOZg+ebaN6XT5fTavLqa4rpiedFXF8kRH46QS3OXemUeLpdLfr3zazn6o9HylI9PkQv2LvDKfLoqm9PWnMTfWveWV/aFBnuDfGHlC3Jw5mB50VcXyV0Vuzw+j67M5rTJBxY9IDMyM+Rra17zyjGioLZA3jLvFpmRmSHvWnCXrLRWenT63k5QZcB6YC4w6AjTmQZkAVm9e/f26A/sTK+sfkVmZGbI/8v6P68mpyb19nr52K+PyYzMDHnH/Ds8dnbUlVU1VskpX0+Roz8aLVcWrPT6/PZX75dXf3+1zMjMkP9a8y91oiC1s+t7f7lXZmRmyA82feD1+S3PXy5P/exUOeqjUXLunrlen19X4HA6mtfBrI2zvDovp8spP9z8oRw2e5ic/Plkua1sm8em7c0EFQoEuz+fB+xszzS7agnqyx1fyozMDPnksic7JTk1cblc8rOtn8lhHwyTU76eIgtqCzpt3r6m0dEop/44VQ6bPUz+nv97p83X6rA2V6PcteAuWWur7bR5+xqXy9Vcxf3h5g87bb6FtYXyj//7Y3PtRU8+UWi9DjrjBKHJ2qK18sw5Z8qRH46U3+/63iPT9FqCamPcvUD00cbriglqVcEqOeyDYfLWebdKm9Oz15za67e83+TJH58sz5xzpkfPYLoKl8slH13yqMzIzPDYznGs8/9k6ydy6AdD5WXfXiaL64o7PQZfkLkpU2ZkZsiXV73c6fO2OWzyqd+ekhmZGfKBRQ9Iq8Pa6TH4gpkbZsqMzAz50qqXOn3eJfUl8vofrpd3LrjTIyfq3ixBxdHSXH00sL/p+5FeXS1BlTWUyTPnnCnP//J83avYtpdvl2f+50w55uMxckX+Cl1j6Wyfbf2s+XqHnpbkLJGjPholJ/13ktxV2bOuiSzLXSYHZw6W9y28T7cSjMvlkrM2zpIZmRny2v9dK8sbynWJQy9Lc5fKwZmD5YOLHtRtHdicNo/VIhwuQR21IzghxKfAcqC/ECJXCHGzEOJ2IcTt7lEuAzYJIdYDrwFXuWfYbbiki8eWPkZlYyUvnfYSIX4husZzQsQJfHLeJ8QHxXPngjtZkrtE13g6y6bSTbyw6gUmJE5g2pBpusYyIWkC75/zPlanlet+uI71Jet1jaezFNUVMf3X6fQN78uz45/VrS9JIQRTM6by8mkvs7V8Kzf8eAOFdYW6xNLZCmoLmP7rdPpF9OPpcU/rtg7MBjNB5iCvzkPdqNsOszbN4v9W/x9/GfMXrhxwpd7hNKu0VjJt/jR2Vu7kxVNf5OyUs/UOyWuqGqu44rsrAPjPhf8hzD9M54g0OTU53Db/Nsoaynhj4huMjDv0XsPuwuFycPO8m9lavpXPzv+MPuF99A4JgNVFq7nr57sI9w/n3Unvdusbq21OGzf+eCO7q3bz2fmfkRqWqndIHnG4G3VVV9pHsaNiB/9a+y/OTjmbK/pfoXc4Bwi3hDPznJkMihrEQ4sf4vvd3+sdktf8feXfKa4v5qXTXvKZ5ASQHJJM5uRMYoNiuWPBHSzPX653SF7z9vq3WVO8hidOfsJnkhPAiNgRzJw0k1p7LTfMvYFdlbv0DslrXl/3OhtLN/LMuGe6TXI6EpWgjsDhcvDEsicI9QvliZOf8Mkuh0L9Qnnn7HcYETuCx359jG93fat3SB43f998/rf7f0wbMo3BMYP1DucQvQJ78f4575McmszdP9/dLatcN5duZubGmVzU9yIu7Huh3uEcIiM6g/fPeR+XdDH1x6lsLduqd0get6ZoDZmbMvlD+h+6dW1JaypBHUHm5ky2lG3h8TGPE2GJ0Ducwwo0B/LGxDcYEz+GJ5Y9wQ+7f9A7JI8pbSjl6eVPMzBqILcMuUXvcA4rKiCKWZNm0S+iH/csvIdFOYv0DsljbE4bf1n2F6IConhk9CN6h3NY6RHpfHDuB/ib/Ll1/q1sL9+ud0geU2+v5/Glj5MQnMBDox7SO5xOoxLUYeyq3MWb695kUsokJqVO0juco7KYLLx25msM7zWcx5Y+xvx98/UOySOe+/056u31PDf+OcwGs97hHFG4RbsGMiBiAPcvup+leUv1Dskj3lr/FtmV2cw4ZQahfqF6h3NEKaEpzJo0C4vRwq0/3crOip16h+QRL2e9TF5tHs+Of9brDRN8iUpQbZBS8tTypwgyB/HYmMf0DqfdAkwBvDHxDQZHD+bhxQ+zcP9CvUPqkGV5y5i/bz63Db3tmHrE1lOoXyhvn/02fcP7cu/Ce1lRsELvkDpkc+lmZm2axSX9LmFC0gS9w2mX5NBk3jvnPcwGM7f8dEuXvya1vmQ9/9nxH/544h8ZETtC73A6lUpQbfh+t/Zwr/tH3E9UQJTe4RyTQHMgb571JidGncj9i+/n19xf9Q7puNicNv6+8u+khqZy46Ab9Q7nmIT5h/HO2e+QHJLMn3/5M6uLVusd0nFxupw8veJpoixRXa5aKSU0hZnnzMQgDNw872Z2V+3WO6Tj4nA5eHbFs/QK6MXdJ92tdzidTiWog9Taank562WGRA/h4n4X6x3OcQnxC+Gts94iPTy9y57FZ27OZF/1Ph4d/WinPDDN0yIsEbw76V3iguK4c8GdXfI+qc93fM6Wsi08NOoh3e/9Ox5pYWm8N+k9JJJb5t3S/FTfrmTO9jlsLd/KQ6Mf6lFVe03UfVAH+ceqf/Dhlg/55PxPyIjO0DucDqm0VjJ13lTyavN4+6y3GR47XO+Q2iWvNo8pX09hQtIE/nn6P/UOp0OK64uZ+uNUKqwVvDvpXQZFD9I7pHYpt5ZzwVcXcGLkicycNNMnW7C2V3ZFNjf/dDNmg5nMyZkkhSTpHVK7lDaUcuFXFzI4ejD/PvvfR1wHdrud3NxcrFZrJ0Z47CwWC0lJSZjNB15PVk/UbYfsimwu++4ypvSbwoyxM/QOxyNKG0qZ+uNUShpKmDlpZpdIuvf8cg/LC5bz7ZRvu8UjvwvrCrnxxxupsdUw65xZ9I/sr3dIR/XEsif4ftf3fHHRFz51z9Px2l6+nZvm3USIXwjvn/M+8cHxeod0VI/++ijz9s7jy4u+POo9T3v27CEkJISoqCifPZmQUlJWVkZNTQ1paWkH/E3dqHsUUkqeX/k8QeYg7hl+j97heEx0QDTvTnqXcP9wbpt/m883vV2Su4Rfcn7htiG3dYvkBBAXFMfMSTOxmCxMmz/N56+HrCtex9fZX3PdoOu6RXIC6B/Zn3cmvUN1YzU3/3QzxfXFeod0RKsKV/H97u+ZmjG1XTfkWq1Wn05OoHVPFRUVdUylPJWg3Obvm8/vhb/zp5P+5NP3PB2PpgNkgClAO0BW+uYBstHZyPMrnyctLI3rB16vdzgelRSSxHuT3kMguHXereRU5+gdUpscLgfP/v4ssYGx3D7k9qP/QxcyKGoQb539FmUNZdzy0y2UNpTqHVKb7E47z654lsTgRG4Z3P57/3w5OTU51hhVgkK7Ce4fWf9gQOQALj/hcr3D8YqkkCTtWgKCW366hf3V+/UO6RCzNs0ipyaHx8Y8htno2/c8HY/UsFTenfQuNpeNm3+6mYLaAr1DOsSc7XPYVr6Nh0c9TKA5UO9wPG5ozFDePOtNCusKufWnW6mwVugd0iE+3Pohu6p28ejoRwkwBegdjq5UggJmbpxJYV0hj45+FKPBqHc4XtN0gLS77Nzy0y0+dYDMqcnhvY3vMTl1MifHn6x3OF6THpHOv8/+N7W2Wp+raiptKOX1ta9zSvwp3bornRGxI/jXmf8ipyaHafOnUdVYpXdIzQrrCnl7/ducnnw6pyWfpnc47ZaTk0NaWhrl5eUAVFRUkJaWxt69ezs03R6foPZX7ydzcyYX9Lmgy7Ry6whfPUC+uPJFjMLIgyMf1DsUrxsYNfCAqqayhjK9QwLgn1n/xOq08uiYR7tEdVFHjIkfwytnvMKuyl3cPv92am21eocEwAsrX0BKyfTR0/UO5ZgkJydzxx13MH26Fvf06dOZNm0aqampHZpuj05QTQ0jzAYz94+4X+9wOk3rA+StP92q+wFyUc4iFuUu4s5hdxIbFKtrLJ1laMxQ3pj4BgW1BT5xFp9VmMV3u7/jxkE3khaWdvR/6AbGJ47n5dNeZlv5Nu5YcAf19npd4/k191cW7F/AtCHTSAxO1DWW43HfffexYsUKXnnlFZYuXcqDD3b8ZLNHNzNfuH8hf174Zx4c+SA3DLpB11j0sKpwFXcuuJOU0BTeO+c9XR5jYXVYmfLNFCxGC/+96L8+39+ep/2W/xt/+vlPpEek8+6kd3W5IdbusnPFd1dQb6/n6ylf97jrHj/t/YmHlzzM8NjhvDHxDV1+f6OzkUu+uQSjMPLFRV8c883pW7du5cQTTwTgqe82syW/2qPxDUwI5ckLj34P37x585g8eTI//fQTZ5/ddjVx61ibqGbmB7E6rLyw6gX6hffjmhOv0TscXYyKG8WrZ7zK7qrdulVzvLPhHfJq83j85Md7XHICGJswln+e/k+2l2/nzgV36nIW//GWj8muzOaR0Y/0uOQEMCl1Es+Of5aswizu+eUeGp2NnR7DuxveJacmh8dPfrxL9pzSZO7cucTHx7Np0ybPTLCt58B3xmvEiBEeeZb98Xp97esyIzNDrixYqWscvmDh/oVy2AfD5PU/XC/rbHWdNt9dlbvksNnD5GO/PtZp8/RV8/bMk0M+GCJv+vEm2WBv6LT5FtQWyFEfjZJ3LbhLulyuTpuvL/pyx5cyIzND3rngTmlz2Dptvk37wfQl0497Glu2bPFgRMdn7dq1cuDAgXLfvn0yOTlZ5ufntzleW7ECWbKNPHHUEpQQYpYQolgI0WZKFJrXhBDZQogNQgifb2mQU53DrI2zOC/tPEbFjdI7HN2dnnw6fz/176wrWcefF/65U84gpZT8bcXfCDQF9qjrf4czKXUSfxv3N1YVruLeRfdic9o6Zb4vrnoRl3QxffT0bt8w4mguSb+EJ05+giW5S3hoyUPYXXavz1NKyTPLnyHQFNilGwhJKbnjjjt45ZVX6N27Nw899JBHrkG1p4ovE5h8hL+fC6S7X9OAtzoclRdJKXlu5XOYjWYeGPmA3uH4jMmpk3lm3DP8XvA79y+6H7vTuzvn97u/1w7GI+7tcj3Ge8uFfS/kyVOeZFneMh5a7P0D5JLcJczfN59bB9/aZfqn87Yr+l/B9NHT+Xn/zzz262M4XA6vzu+bXd+QVZTFfSPu69L7wbvvvkvv3r2brzvdeeedbN26lcWLF3dswm0Vqw5+AanApsP87d/A1a2+bwfijzZNvar4vsn+RmZkZsgPN3+oy/x93Zxtc2RGZoa8b+F90u60e2UeJfUlcsKnE+Q1/7tGOl1Or8yjK/t4y8cyIzNDPrDoAWlzeqeqqdJaKc+cc6ac8vUU2eho9Mo8urJZG2fJjMwM+eiSR6XD6fDKPIrriuW4T8fJ6364rsP7gS9U8bXXsVTxmTqW3gBIBFr325LrHnbIXaBCiGlopSx69+7tgVkfm+L6Yp5f+TzDew3vsQ0jjuaK/lfQ6GzkxVUvMv3X6fx9/N892quDlJKnfnuKOnsdT499GoPose10DuuaE6/B7rLzUtZLNDgaeOm0lzzeeOHFVS9SZi3jtYmvdemL8t4yNWMqNqeN19e9jtFgZMYpMzx6E7+Ukr/+9lesDiszxs5Q+8FhdOpSkVK+I6UcKaUcGRMT05mzbn5Krt1p5+lx6sB4JNcNvI4HRjzAvL3zuPuXuz3asuzr7K9ZlLuIe4bf02WekquHGwbdwBMnP8Gvub9y+/zbqbHVeGzaP+//mW93fcvNg29mUFTXePyHHm4behu3D72dr7O/5v5F92N1eO5RFv/Z/h+W5i3l/hH30yese3TI6w2eOErnAcmtvie5h/mU2VtmsyR3CfeOuJeU0BS9w/F5N2bcyNNjn2ZFwQpu/elWKq2VHZ7m7qrdPL/yeUbGjuTagdd2PMhu7or+V/DCqS+woWQDN8+72SOdm+bU5PDE0icYGDWQ24bc5oEou7e7ht3FI6Me0XrYn38b1baO31+0vXw7L2W9xLiEcVw94GoPRNl9eSJBfQtc727NdzJQJaX0nU7e0B4f8MrqV5jYeyLXDFBVe+11Sfol/PP0f7KtfBvXzb2OPVV7jntaNbYa7vnlHiwmC3+f8HdVgm2nc9PO5dUzX2VP1R6u+d81HXpcSoOjgQcWPQACXj7tZVW1107XDryWF099kQ2lG7hh7g0d6om+wlrBPQvvIdQvlGfGPdPjW04eTXuamX8KLAf6CyFyhRA3CyFuF0I09cX/A7AbyAbeBe70WrTHYX/1fu5ZeA/xwfFqgzgOE3tP1J6jY6vmmv9dw5LcJcc8DZvTxkOLHyK3Jpd/nv7PbvOcp85yatKpZJ6biVM6uW7udSzYt+CYp+FwOXho8UNsK9/Gc+OfU632jtG5aefy1llvUVxfzJX/u5KleUuPeRoNjgbuW3QfJfUlvHrmq8QEdu5lji6prZYTnfHqjFZ8+6v3y3M+P0dO+HSC3F252+vz687yavLkZd9eJgdnDpYvr3pZWh3Wdv2f1WGVf/r5TzIjM0N+seMLL0fZvRXXFcurv79aZmRmyKd+e6rdN1U3OhrlA4sekBmZGfLTrZ96OcrubX/1fvmHb/4gB2cOlq+sfqXd+0GdrU7e/OPNcnDmYPnD7h88Hld3bcXXbetZVhet5tofrqXGVsObZ73ZYzrA9JaE4ARmnzubS9Mv5f3N73Pld1eysmDlEf+nsK6QqT9OZWHOQh4b8xiXpl/aSdF2TzGBMWROzmTqoKl8vuNzLv/uchbuX9h0e0ebmjqjnbd3Hg+MeICrBlzViRF3P8khyXx43odM6TeFmRtncvl3l7OiYMUR18Geqj388Yc/sqpoFc+Of5Zz087txIg7h5SS8ePHM3fu3OZh//3vf5k8+Ui30B5dl+4sdu6euaSFpdE/oj9CCKSU7K7azewts/ly55ckhyTzxsQ3VHLysKV5S3lq+VMU1hUyJn4MV5xwBWMTxhLsFwxAfm0+X2V/xQebP0AgeG78c0xMmahz1N3LyoKV/O33v7Gnag9DYoZwxQlXMC5xHNEB0Ugpya3J5bvd3zF7y2ytSfMpf+X8PufrHXa3sixvGU8tf4qCugKG9xrO5f0vZ2zCWCItkbiki+zKbL7c+SVzts8h2BzMC6e+wNiEsV6Jpa0OWDvbpk2buPzyy1m7di0Oh4OTTjqJH3/8kb59D2yteyydxXbZBGVz2hj36TisTish5hCiAqKotlVTbi3HbDBz1YCruHvY3d3yqaC+oNHZyJxtc8jcnElJQwkAUZYoHNLR/OiIs1PO5v4R96vrHV5id9n5cseXzN4ym/012hOSA03a9l7v0G4NOCP5DB4Z/UiXfHxDV9DobOSLHV+QuTmTgjqtbVigKRCHy4HNZcMojFzc72LuHna3V685+UKCAnj44YcJCgqirq6OkJAQnnjiiUPG6REJCqCkvoRl+cvYVLqJcms5IX4hDIwcyMSUiUQHRHsoUuVInC4nq4pWsaFkA/m1+ZgMJlJDUzkt6TSSQ5OPPgGlw1zSxabSTawpWkNRfRESSUpoCuMTx5McotZBZ3BJFxtKNmj7QV0+ZoOZPmF9mJA0oVOORQcc9OdOh8KNnp1B3GA49/mjjlZXV8fw4cPx8/MjKysLf3//I8fqdrgE5YmeJHQTExjDlH5TmNJvit6h9FhGg5GT40/u1o9p93UGYWBIzBCGxAzRO5QeyyAMDOs1jGG9hukdiq6CgoK48sorCQ4ObjM5HasunaAURVGUg7SjpONNBoMBg8Ez7e+6bSs+RVEUpWtTCUpRFEXxSaqKT1EURfGYGTNmeGxaqgSlKIqi+CSVoBRFURSfpBKUoiiK4pNUglIURVF8kkpQiqIoik9SCUpRFEXxSSpBKYqiKB3y1VdfMWzYsANeBoPhgMdvHA91H5SiKIrSIZdccgmXXHJJ8/d33nmHjz/+mHPOOadD01UJSlEURfGYHTt28PTTT/Pbb791uE++diUoIcRk4FXACMyUUj5/0N9vBP4B5LkHvS6lnNmhyBRFUZRj9sLKF9hWvs2j0xwQOYBHRj9y1PHsdjvXXHMNL7/8Mr179+7wfI+aoIQQRuAN4GwgF1glhPhWSrnloFHnSCnv7nBEiqIoSpf0xBNPMGjQIK688kqPTK89JajRQLaUcjeAEOIz4GLg4ASlKIqi6Kw9JR1vWLRoEV988QVr1qzx2DTbU0GYCOS0+p7rHnawPwghNgghPhdCqMd4Koqi9BAVFRVMnTqV2bNnExIS4rHpeqqZ+XdAqpRyCDAf+KCtkYQQ04QQWUKIrJKSEg/NWlEURdHT22+/TXFxMXfccccBTc3nzJnToem2p4ovD2hdIkqipTEEAFLKslZfZwIvtjUhKeU7wDsAI0eOlMcUqaIoiuKTHn30UR599FGPT7c9JahVQLoQIk0I4QdcBXzbegQhRHyrrxcBWz0XoqIoitITHbUEJaV0CCHuBuahNTOfJaXcLIR4GsiSUn4L/FkIcRHgAMqBG70Ys6IoitIDtOs+KCnlD8APBw37a6vPjwKeL98piqIo7SKlRAihdxhHJOWxXdlRffEpiqJ0cRaLhbKysmNOAJ1JSklZWRkWi6Xd/6O6OlIURenikpKSyM3NxddbR1ssFpKSkto9vkpQiqIoXZzZbCYtLU3vMDxOVfEpiqIoPkmVoA5mq4PKHKjKhcZqcFhBusAcAOZACIiA0AQIjgOTn97Rdl+2OqgphLoScDRq6wAJ/mEQEK6th4AI8PGLwl2aywV1xdBQAfZ6cNi0bd4cCH7BEByr9gFvkxKslVBbAk4bSKc23D9U2/79Q6GDPYb7MpWg6kph+1zYsxhys6BiTzv/UUBIPMT0h14nau+xgyEuA0z+Xg2525ESCtbDzvmQtxoKN0B13tH/zxwEEakQmQZRfbXlHz8EovqBwej1sLudsl2QvQByV0H+OqjcD87GI/9PUAyEJkL0CRBzAsQMgF4DISKtWx84vaZ8N+xcAPlrtH2ibNeR14EwQGgSRKZq+0JUP4gbDHFDICi6s6L2GqFXq4+RI0fKrKwsXeaNywk75sHKd7TEJF1aiSh5FMQPhfBUCEsCSxiYLdpGYLeCvQ7qK7SDZ00BlO+Bkm1QukM7wwQw+mkbSOJISBoJyaMhPEWd6belMgfWzIZ1H7sTktAOdPFDtANdaAIE9wJTgLYOkNBYo53R15dp/1+xVzupKN+tnWGCdoYfOwgSR0DvkyH5ZAiNP0IgPVh9Oaz9CNZ/CsXu/p9D4rVlF9kHwntDYBT4BYHRrJWiHA1grdJKuNX5UJUDpTu19yaWMEgYrk0ncYS2LwT30uc3+rraElj/Caz9GEq3a8OCY7VjUUx/bX0ExWgnvsIISLBWayWr+nLtRKJpP6hr1UgiJEE7FiWNhOQx2rtfkA4/8OiEEKullCMPGd6jEpTLBVu+gl/+ph3QQhLgpD/CiRdqZxzHm0RcLqjar53x5K2G3NWQv1ZLaKCd4aSOh9Rx2ntEWs9OWOV7YPGLsOEzrfTUbyJk/AH6nQ3BMcc3TacdSrZrpa+CDdp73hrtYAraSULvU7SElTJWS4Q9eR3UlsCSf8CaD7Rq7OQxMHAKDDhPOxM/Ho012sla0WZt2eet1j43VUtFpWvLPnU8pIyDsLb6nO5BqnLh15dhzYfgsmvb58ApcMI5Wq3A8agvh8KN2vZfuFE7JpVsB6SW3OKHaPNJHqOtCx85aVAJKm8NfH8fFKzTqiBOewQGXABGL9VyOh1a6Wr/cti7VHvVl2p/C0lolbAmaGeqPeFgabfC4ufht3+BwQSjboExt2ln6d7gtGs76v4V2nrY/7t2TQUgMBpSTtEOlCljITajZ1QL2q2w7BVY9pqWmIZdAyffoZU4vcFWrx0oc1bAvt9g33JorNL+Fp7SkqxSxmqJsSfsB45G7eRg2avaCdpJ18KY26HXAO/Mr6FSq7Zt2gfyVrecuEWla8ehFPfxKDTBOzEcRc9NUI5G7Wx96f9pZwsTn4QhV3T+wUhK7exy76/uhLWs5WAZHOfeSNwlrO54dr9/BXxzN5TthGHXwsQnICSuc2OQUis57/vN/VoGlfu0v/mHuktX7vWQMEyr0upOclbBN3dp1UgDL4Yz/wrR/To3BpcTijZp2/++Zdp6aCjX/haa2JKsUsdr11O63X7wO3z7J20dDLkSzvyL907QDsdh007c9i3T1sP+5VqDMNBqd5oSVspYiEjplJB6ZoLKXwdf36HVrQ/7I5zznNYCzBdIqdXb71vasrPWFGh/C4rRNo6ms5qYE7vuBefGWvjlGfj93xCWDBe9Cn3P1DuqFlW52ll908Gy6RqAORCSRrUcMJNGai05uyJbPSx8Fpa/oV1bvfBVrVrVF7hcWk3DvmUtB8ymE7egXu79YFw32w+S4IJXIP0svaPSuJxaKbdp+e9bpl3fAm2fbVr+KeO8VtvTsxKUwwa/vgRLXtIO9he9ptXr+rLms/tWG0nTReeAiJYz+9RxXac6avci7Wyxcj+Mvg0m/hX8g/WO6shqS2B/qxJW4SZAgsGsXexvOmD2HgP+nnswm9fsXQbf3q1tWyNvhrNmgCVU76gOT0qt5dq+pdo62LsMqnO1vwVEQO+x7hLWOK3Vpreq6D0p+2f47l5tfx59q3s/8OFtx+XSTupbnzQ0X56IP7CU66Hanp6ToPLWaAfFok0w5Co493ltw+6KKva1SlhLtZY6AH4hkHhSS0vBxJEQEqtrqAeoL4f5f4W1H2rVNBe9rl3v6YoaKiHn95YSVv5acDm0VoXxQ93J6hRtPXR2leWRWKthwZOQNUu71nPx65B2qt5RHTsptROc1iduTbeC+IVoVbFJI92tBUf6VmvNulL46S9aC8modG0d9D5Z76iOXfPliaUt66G2UPtb6gS48fsOz6L7JyhrlXatacWbWhPN8/+ptUjqTqrytA1k/wp3C6lN2sEStJaCSe6dNGGYVsoKjOzc+Fwu2DAHfnpcWx+n3A2nT++6VWNtsdVBzsqW61i5q1ruUwmOg4STtOWfcBLED+v8EweXCzZ/CT89oR1ExtwBZz7us82Lj0t1fsvyP3g/CElw7wcjtHUQOxiCojo3PqdDOzlbMANstTDuHjj1Ye2Wle6gqbZn71Kt6fvQqzo8ye6boBoqtaayS/9Puz9m+A0w6RntPozuzt6gNanOy9JuMs7L0s42m4QkaDcOxw7SElZshlai8XS1iNMBW7/VThBKtkLSaLjwFe+1DPMljkatVNX8WqedbeLer0LitXtRYga4b+geoN3b4umE4XTA9h+01mGFG7QD84Wvagfr7s5udd9WsNp9m8dBN9wHx7n3gab9YJBWNeXpXjAcjbDpC+3SQvku7Rry+S97r3VeN9L9EpStDuY+DBu/0JpM9jtLq9uNH+q5ILui2hJtZy3apN2DUrhJu/DfdIZpMGlVPlF9IbKv+72PNiwktv114401Wklu10LY9DnUFmk7/WmPwKBLu+7FbE9orNEuOuev05JW0Wat9WLTjcSgtdyKOVFb9hEp2vdw93t7rxHVl2u3TeycD1u+0W52Dk/RWoZlXNaz10HTsinaoi3/oo3a/UBN60AYITxZ2wci+7TsDxEpWg2MJax911bqyrRrlrt+gc1faSfJsYPhtIe1+yu7WytEL+l+CUpKmDlROyMaOVUrzh/E5ZLUNDpwuiQCCLGYMBl74E7rsGlJqnCTdnZfvgvKdmvvTT1gNDEHaddSgmPBLxBMFu0FWnWFtUq7NlaTrw0zmCH9bK2VZP9z22y84XC6cLgkTpckwGzEYOiBO63ToZ3VF2/VWq2VbIPibdp1xaYbupv4BWvVswGRWi8O5gD3gU5o9y7VlWq9ODStA6M/9D0Dhl8PJ0xucx1IqS1/p5T4GQ0+/2A7r3DaoSxbS1gl27TGGOW7tVdTM+smRn9tHwjupZ20mSxadZZ0aifH1ipt3dWXaeObArTtf9gftRaSbSxfKSVSan/qkcv/CLpfggKa17ZbTnk9v+4sZWl2CZvzqymotGJzug74lxCLiZhgfxLCA0gMDyAxIoCkiJbPsaEWzD0liUmpHejKst3dNxVqJaGmTlptdVq1RdNNfX7B2v1C4b21s86mLlT8ApsnWW9zsHJPOUt3lpK1r4K8ygZKalr6EhMCwgLMRAT6ER9mOWA9JLo/x4VZsJi7QCtFT5DS3V3NXneXNfu0dVBfrh386su0dYDUuuQy+mktU4NitKqjuCHahfdWVYZWu5PV+ypYml3K6n0V5JbXU1htxeXe1U0GQViAmfBAMwnhASSEacs/ITyAhHALieHaftCz1kGZlrAq92vN3GsKobZYWxe2Ou3EwGHVaiDMgVrSikjRSl3JY7QT5FZVhla7k7X7K/ltVym/7y4nt6Ke4ppGHO6VYDIIooL9iAryJyrYj7hQC3FhFmJDLc2f48IsRAb69YgTum6ZoKqtdpbvKmPpzlJ+3VnC3jKtNBAXamFEagTJEYFEB/thMghcEqoa7FTW2yipbSSv0kpeRQOltQd2xCgERAf7t2wkrd7jwyxEBfsTEaQdYHtMIjsCh9PFxrwqlu4sZWl2KWv2V2B3SvxMBk5KDictOojYUAv+ZgMGIahrdFBZb6e8zkZBVQN5lQ0U1zRy8GYYEWgmLiyAuFB/9/IPIC7Mn7iwAGKC/YkM8iMiyIy/qYccRI/A6ZJsya9maXYpy7JLWbW3nEaHC7NRMDgxjNToIOJCLc2l17pGB5UNdirqbBRUWQ85iWgSGeR3wMEyPtRCrHtfaDq4qnWgadoPfttVxm+7SsnaW0Gjw4VBwOCkcPrFBNMr1B9/kwEpweZ0UV5ro6yukZKaRoqqGymuaTmJaGI2CnqFtKyDOHcCiw3TjkdxoRb3dLv2OuhQghJCTAZeBYzATCnl8wf93R+YDYwAyoArpZR7jzTNjiaoRoeTYU/Np8HuJNDPyMl9ohjfL5pTT4imb0xwu4vQVruT/ErtQJlX0UBhtZXCKisFVVaKqrX3qgZ7m/8bYjERFeRHRJAfkYHae6jFTLDFRIi/iWCLiWD3+wHf/U1YzEb8jIYudXYkpaSkppHs4lrW5lSyck85a/ZVUNOoXd/KSAxlXL9oxveLZlRqZLvPwG0OF4VVVnIr67V1UGVtXg9N72V1tjb/N8jPqC3/ID8iArX3sAAzIe5lHeRvav7csi7MBPkbCfAzYjF1rSpHKSWltTZ2FtWwMa+KlXvKWbW3nGqrtg4GxIU0r4PRaZEE+bevQUyjw0lhlXbSllfZ0LztN+0LhdVWyo+wDiKDtX0gMqhlPwhptf0HN68Hc/PnIH8TFrOhS66Domr3frC/glX7Klizr4LaxpZ1MLZvNOP6RTEqLZJQS/t6JHE4XZTW2pq3+aLqVvtBq+/1Nuch/6tt/2bCAsyEBmjvTa9QS9NwE4F+JgL9jK3etf0g0M+EUcd1cNwJSghhBHYAZwO5wCrgainlllbj3AkMkVLeLoS4CrhESnnlkabriRLUZyv3kxYdxEm9I/Azea80U29zNB8sy+tsVNTZKK+zU1Fvo6z5u/aqbXQ0b6jt4WcyYDEZsJiN7pf22d/U9K59NhkFJoMBs1FgNAjMRgMmg8Bk1IaZDNo45gPGMzTXgDZtei3fW22MQtvpGh0urHYnjXYXVoeTBpuLinobpbWNlNbayKuobz4QAqT3CmZUWiRj+0Yxtm80kUHeezZQo8NJcXUjhdVWSmsaKa8/cD2U19ma36vq7dTaHIeUyg7Hz2jA32TAv9Xybzpwtl4XrddB0+emdaC9t6yX5nVkFBjEAUu72cHnUE1n1la7tuytDidWu5OqejsltdqZdmG1lcr6lhOmPjFBjEmLZExaFGP7RdErxHtNma12bR0UVDUctO3bKa9rpLze3rwv1Fjt1DY6DikRHI6f0YB/G8u+ZX8w4mdqtZ03b+9t7wethxkNonl7P9z+oA0TuKTU9gGHq3l/aLA7KXOXdspqbeSU11PnThJCQP/YEEakRHBK3yhO7hNFdLD3HrcjpXZdvSlpFVZbKXK/V9bbqWpoeVVb7VQ32Nu9DvxNhubkZTEb8DMZ8TMZ8Dca8DNpL3/3u597WHqvYG4c1/En+XYkQZ0CzJBSnuP+/iiAlPLvrcaZ5x5nuRDCBBQCMfIIE9f1cRte5nJJ6mxaoqq1Oqhxv9e2etcOPi4a3TuD1e50v1oOTFa7NtzubmTgcMpWn1sNc7nafTBuL4OAALNWOokK9icm2I+4MAv9YoLp1yuEgQmhXk1IHSWlpN7mpLbRQY17mde1+lxrtWNtXu4uGlutD6ujJUk3rQOr3YnTJbE7JQ6XC4dTNq8Hu/u9vQeC9jIZBBazkbAAMzEh/kQH+xMb6k/fmGBOiA1hQHyIVw+GHdXWOtC2fzs1Vm19tF4HWmI4cJk3tvq7zelyr4Om5e/S1ocX14HZKLCYtBJilHtfSAiz0K9XMH1jghmUEEZYoO/22ehySWptDqrqtYRVb3NSb3PSYHNQb3NS1+pzg/tv9baWZW9zurA5nNjcCdvWPEx7DU+J4N3rD8krx+xwCao95f9EoNWDXsgFxhxuHCmlQwhRBUQBpQcFMQ2YBtC7dyd3kNiJDAZBiMVMiMUMnXQ7VvOO23TQdGqttgCk+56cpiTWeh9uOocQQrQqtRm6/PU1IQRB7iq+2E7q2cflcietVgfOppZzBzvcCYVfU2naZOjyLU71Wgf2phMI98lb837QvP0f+F0b5o4Zmktufsauvw4MBkGoxdzuakZf06kdWUkp3wHeAa0E1Znz7u6MBoGxK/TP140ZDAI/g8CPrn1Q68oMBoG/wUg7L70pPq49e1IekNzqe5J7WJvjuKv4wtAaSyiKoijKcWlPgloFpAsh0oQQfsBVwLcHjfMtcIP782XAL0e6/qQoiqIoR9PeZubnAa+gNTOfJaV8VgjxNJAlpfxWCGEBPgROAsqBq6SUu48yzRJgXwfjB4jmoGtdCqCWy5GoZdM2tVwOTy2btnlquaRIKWMOHqjbjbqeIoTIaqv1R0+nlsvhqWXTNrVcDk8tm7Z5e7moq7mKoiiKT1IJSlEURfFJ3SFBvaN3AD5KLZfDU8umbWq5HJ5aNm3z6nLp8tegFEVRlO6pO5SgFEVRlG5IJShFURTFJ3XZBCWEmCyE2C6EyBZCTNc7Hj0JIZKFEAuFEFuEEJuFEPe4h0cKIeYLIXa63yP0jlUPQgijEGKtEOJ79/c0IcTv7m1njvsG9B5HCBEuhPhcCLFNCLFVCHGK2mZACHGfez/aJIT4VAhh6anbjBBilhCiWAixqdWwNrcRoXnNvYw2CCGGd3T+XTJBuR8B8gZwLjAQuFoIMVDfqHTlAB6QUg4ETgbuci+P6cDPUsp04Gf3957oHmBrq+8vAP8npewHVAA36xKV/l4FfpRSDgCGoi2jHr3NCCESgT8DI6WUGWidE1xFz91mMoHJBw073DZyLpDufk0D3urozLtkggJGA9lSyt1SShvwGXCxzjHpRkpZIKVc4/5cg3agSURbJh+4R/sAmKJLgDoSQiQB5wMz3d8FcCbwuXuUnrpcwoBTgfcApJQ2KWUlapsBrRPtAHe/ooFAAT10m5FSLkHrHai1w20jFwOzpWYFEC6EiO/I/LtqgmrrESCJOsXiU4QQqWhdTv0OxEopC9x/KgRi9YpLR68ADwMu9/cooFJK2fTkxZ667aQBJcD77urPmUKIIHr4NiOlzANeAvajJaYqYDVqm2ntcNuIx4/LXTVBKW0QQgQDXwD3SimrW//N3Xlvj7qnQAhxAVAspVytdyw+yAQMB96SUp4E1HFQdV4P3WYi0EoCaUACEMShVVyKm7e3ka6aoNrzCJAeRQhhRktOH0spv3QPLmoqYrvfi/WKTyfjgIuEEHvRqoHPRLvuEu6uvoGeu+3kArlSyt/d3z9HS1g9fZs5C9gjpSyRUtqBL9G2I7XNtDjcNuLx43JXTVDteQRIj+G+rvIesFVK+c9Wf2r9GJQbgG86OzY9SSkflVImSSlT0baRX6SUfwQWoj0WBnrgcgGQUhYCOUKI/u5BE4Et9PBtBq1q72QhRKB7v2paLj1+m2nlcNvIt8D17tZ8JwNVraoCj0uX7UmirUeA6BuRfoQQ44FfgY20XGt5DO061H+A3miPNrlCSnnwBc8eQQhxOvCglPICIUQftBJVJLAWuFZK2ahjeLoQQgxDazziB+wGpqKdtPbobUYI8RRwJVrr2LXALWjXUnrcNiOE+BQ4He2xGkXAk8DXtLGNuBP662hVovXAVCllVofm31UTlKIoitK9ddUqPkVRFKWbUwlKURRF8UkqQSmKoig+SSUoRVEUxSepBKUoiqL4JJWgFKWdhBBRQoh17lehECLP/blWCPGml+Z5rxDievfnRUKIkW2MM1gIkemN+SuKnkxHH0VRFAApZRkwDEAIMQOolVK+5K35uXsuuAmth4cjxbVRCJEkhOgtpdzvrXgUpbOpEpSidJAQ4vRWz5qaIYT4QAjxqxBinxDiUiHEi0KIjUKIH91dUiGEGCGEWCyEWC2EmHeYXp/PBNa06qQU4HIhxEohxA4hxIRWw79D6y1DUboNlaAUxfP6oiWXi4CPgIVSysFAA3C+O0n9C7hMSjkCmAW01RPKOLSetFszSSlHA/ei3dXfJAuYgKJ0I6qKT1E8b66U0i6E2IjWFdeP7uEbgVSgP5ABzNd6h8GI9miHg8Vz4IMWQeu8FLTEldpqeDFa79uK0m2oBKUontcIIKV0CSHssqU/MRfaPieAzVLKU44ynQbA0ta0AScH7r8W9/iK0m2oKj5F6XzbgRghxCmgPSpFCDGojfG2Av3aOc0TgE0eik9RfIJKUIrSyaSUNrRHN7wghFgPrAPGtjHqXLTHsrfHGcD/PBKgovgI1Zu5ovgwIcRXwMNSyp1HGMcfWAyMP6jFn6J0aSpBKYoPcz9QMFZKueQI46QDiVLKRZ0WmKJ0ApWgFEVRFJ+krkEpiqIoPkklKEVRFMUnqQSlKIqi+CSVoBRFURSfpBKUoiiK4pP+HzV6wdpPpsZXAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.subplot( 2, 1, 1)\n", "plt.plot( sol1.t, sol1.y.T )\n", "plt.xlabel( \"Time (h)\")\n", "plt.legend( ['X','Y','Z'])\n", "plt.subplot( 2, 1, 2 )\n", "plt.plot( sol2.t, sol2.y.T )\n", "plt.xlabel( \"Time (h)\")\n", "plt.legend( ['X','Y','Z'])\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualize the transient in X-Y-Z space\n", "\n", "Examine the transient as it approaches the limit cycle. Visualize the limit cycle in X-Y-Z space." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sol3 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,.1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", "sol4 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", "\n", "\n", "from mpl_toolkits.mplot3d import Axes3D\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "plt.plot( sol3.y[0,:], sol3.y[1,:], sol3.y[2,:] )\n", "plt.plot( sol4.y[0,:], sol4.y[1,:], sol4.y[2,:] )\n", "plt.xlabel( \"X\")\n", "plt.ylabel( \"Y\")\n", "ax.set_zlabel( \"Z\");\n", "\n", "plt.figure(figsize=(4,8))\n", "plt.subplot( 3, 1, 1 )\n", "plt.plot( sol3.y[0,:], sol3.y[1,:])\n", "plt.plot( sol4.y[0,:], sol4.y[1,:])\n", "plt.xlabel( 'X' )\n", "plt.ylabel( 'Y ')\n", "plt.subplot( 3, 1, 2 )\n", "plt.plot( sol3.y[1,:], sol3.y[2,:])\n", "plt.plot( sol4.y[1,:], sol4.y[2,:])\n", "plt.xlabel( 'Y' )\n", "plt.ylabel( 'Z ')\n", "plt.subplot( 3, 1, 3 )\n", "plt.plot( sol3.y[2,:], sol3.y[0,:])\n", "plt.plot( sol4.y[2,:], sol4.y[0,:])\n", "plt.xlabel( 'Z' )\n", "plt.ylabel( 'X ')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What are the effects of n on the oscillations?\n", "Plot the simulation for n = 5,7,9,11,13" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "K = 0.6\n", "ns = (5,7,9,11,13)\n", "plt.figure(figsize=(8,8))\n", "for i in range(len(ns)):\n", " n = ns[i]\n", " plt.subplot( len(ns),1, i+1)\n", " params = (alpha_1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3)\n", " mf = lambda t,y : goodwin_oscillator(t,y, params)\n", " sol1 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,.1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", " sol2 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,100), y0=sol1.y[:,-1], \n", " t_eval=np.arange(0,100,.1) )\n", " plt.plot( sol2.t, sol2.y.T )\n", " plt.title(\"n =\"+str(n))\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Examine the activation/repression over time\n", "\n", "Choose a parameter set of interest (e.g. the original one), and determine how K^n/(K^n+Z^n) changes over time" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Activation of X')" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "alpha_1 = 1\n", "K = 0.6\n", "n = 11\n", "gamma_1 = 0.15\n", "alpha_2 = 1\n", "gamma_2 = 0.15\n", "alpha_3 = 1\n", "gamma_3 = 0.15\n", "\n", "params = (alpha_1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3)\n", "\n", "mf = lambda t,y : goodwin_oscillator(t,y, params)\n", "\n", "sol1 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,.1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", "sol2 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,100), y0=sol1.y[:,-1], \n", " t_eval=np.arange(0,100,.1) )\n", "activation = K**n/(sol2.y[2,:]**n+K**n)\n", "\n", "plt.figure()\n", "plt.subplot( 2, 1, 1 )\n", "plt.plot( sol2.t, sol2.y.T )\n", "plt.legend(['X','Y','Z'])\n", "plt.subplot( 2, 1, 2 )\n", "plt.plot( sol2.t, activation )\n", "plt.xlabel( 'Time (h)')\n", "plt.ylabel( \"Activation of X\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What are the effects of K on the oscillations?\n", "Plot the simulation for several values of K ranging from 0.1 to 1. " ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n = 11\n", "Ks = (0.1,0.3,0.6,1)\n", "plt.figure(figsize=(8,8))\n", "for i in range(len(Ks)):\n", " K = Ks[i]\n", " plt.subplot( len(Ks),1, i+1)\n", " params = (alpha_1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3)\n", " mf = lambda t,y : goodwin_oscillator(t,y, params)\n", " sol1 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,.1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", " sol2 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,100), y0=sol1.y[:,-1], \n", " t_eval=np.arange(0,100,.1) )\n", " plt.plot( sol2.t, sol2.y.T )\n", " plt.title(\"K =\"+str(K))\n", "plt.tight_layout()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }