{ "cells": [ { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from random import random\n", "\n", "L = 60\n", "\n", "def rand_i ():\n", " return int(random() * L)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Start with simulating the basic 3-state nucleosome model for a system with N=60 nucleosomes.\n", "\n", "Then do variants Q7.2.1, Q7.2.2.\n", "\n", "First where U-->M and U-->A local (only acting on nearest neighbors), whereas recruitments A--> U and M-->U are global (act randomly in entire system). This local-global model variant needs two parameters:\n", "the parameter alpha for how often one chose recruitment (should be around 90 for random conversions), and a parameter beta=0.5 for the probability that a given recruitment attempt should be global. When attempting a global attempt, select one recruiting nucleosome and another that it acts on anywhere in the system. The move can only be performed if the two chosen nuleosomes are of type M and A, or A and M. Similarly a local move involves selection of two neighbor nucleosomes where the nucleosome to be changed have to start in U state. Use again an L=60 system" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "steps = 100000\n", "alpha = .9\n", "\n", "nuc = np.zeros(L)\n", "nucs_A = np.zeros(steps)\n", "nucs_M = np.zeros(steps)\n", "\n", "for n in range(steps):\n", " i = rand_i()\n", "\n", " if (random() <= alpha):\n", " # Recruited conversion\n", " j = i\n", " while j == i:\n", " j = rand_i()\n", " \n", " nuc[i] += nuc[j]\n", " \n", " else:\n", " # Noisy change\n", " if nuc[i] == 0:\n", " if random() < 0.5:\n", " nuc[i] = 1\n", " else:\n", " nuc[i] = -1\n", " else:\n", " nuc[i] = 0\n", " \n", " if nuc[i]:\n", " nuc[i] = nuc[i] / np.abs(nuc[i])\n", " \n", " nucs_A[n] = np.count_nonzero(nuc == -1)\n", " nucs_M[n] = np.count_nonzero(nuc == 1)\n", "\n", "\n", "plt.title(\"Global\")\n", "plt.plot(nucs_A, label=\"A\")\n", "plt.plot(nucs_M, label=\"M\")\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", " \n", " \n" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "steps = 100000\n", "alpha = .9\n", "beta = .5\n", "\n", "nuc = np.zeros(L)\n", "nucs_A = np.zeros(steps)\n", "nucs_M = np.zeros(steps)\n", "\n", "for n in range(steps):\n", " i = rand_i()\n", "\n", " if random() <= alpha:\n", " # Recruited conversion\n", "\n", " if random() <= beta:\n", " # global\n", " j = i\n", " while j == i:\n", " j = rand_i()\n", " \n", " # only A->U, M->U\n", " if nuc[i] + nuc[j] == 0:\n", " nuc[i] = 0\n", " else:\n", " # local\n", " if i == 0:\n", " j = 1\n", " elif i == L-1:\n", " j = L-2\n", " elif random() < .5:\n", " j = i+1\n", " else:\n", " j = i-1\n", "\n", " # only U->A, U->M\n", " if np.abs(nuc[i] + nuc[j]) == 1:\n", " nuc[i] += nuc[j]\n", "\n", " \n", " else:\n", " # Noisy change\n", " if nuc[i] == 0:\n", " if random() < 0.5:\n", " nuc[i] = 1\n", " else:\n", " nuc[i] = -1\n", " else:\n", " nuc[i] = 0\n", " \n", " if nuc[i]:\n", " nuc[i] = nuc[i] / np.abs(nuc[i])\n", " \n", " nucs_A[n] = np.count_nonzero(nuc == -1)\n", " nucs_M[n] = np.count_nonzero(nuc == 1)\n", "\n", "\n", "plt.title(\"A->U, M->U global and U->A, U->M local\")\n", "plt.plot(nucs_A, label=\"A\")\n", "plt.plot(nucs_M, label=\"M\")\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", " \n", " \n" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "steps = 100000\n", "alpha = .9\n", "beta = .5\n", "\n", "nuc = np.zeros(L)\n", "nucs_A = np.zeros(steps)\n", "nucs_M = np.zeros(steps)\n", "\n", "for n in range(steps):\n", " i = rand_i()\n", "\n", " if random() <= alpha:\n", " # Recruited conversion\n", "\n", " if random() <= beta:\n", " # global\n", " j = i\n", " while j == i:\n", " j = rand_i()\n", " \n", " # only U->A, U->M\n", " if np.abs(nuc[i] + nuc[j]) == 1:\n", " nuc[i] += nuc[j]\n", " \n", " \n", " else:\n", " # local\n", " if i == 0:\n", " j = 1\n", " elif i == L-1:\n", " j = L-2\n", " elif random() < .5:\n", " j = i+1\n", " else:\n", " j = i-1\n", " \n", " # only A->U, M->U\n", " if nuc[i] + nuc[j] == 0:\n", " nuc[i] = 0\n", "\n", " \n", " else:\n", " # Noisy change\n", " if nuc[i] == 0:\n", " if random() < 0.5:\n", " nuc[i] = 1\n", " else:\n", " nuc[i] = -1\n", " else:\n", " nuc[i] = 0\n", " \n", " if nuc[i]:\n", " nuc[i] = nuc[i] / np.abs(nuc[i])\n", " \n", " nucs_A[n] = np.count_nonzero(nuc == -1)\n", " nucs_M[n] = np.count_nonzero(nuc == 1)\n", "\n", "\n", "plt.title(\"U->A, U->M global and A->U, M->U local\")\n", "plt.plot(nucs_A, label=\"A\")\n", "plt.plot(nucs_M, label=\"M\")\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", " \n", " \n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "venv", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 2 }