Сделать вывод программы в текстовый виджет pyqt4 по нажатию кнопки

#!/usr/bin/env python
# -*- coding: utf-8 -*-
 
from PyQt4 import QtCore, QtGui
from matplotlib.backends.qt_compat import QtWidgets
 
from me_dyn import start_dyn
from PyQt4.QtCore import pyqtSlot
try:
    _fromUtf8 = QtCore.QString.fromUtf8
except AttributeError:
    def _fromUtf8(s):
        return s
 
try:
    _encoding = QtGui.QApplication.UnicodeUTF8
    def _translate(context, text, disambig):
        return QtGui.QApplication.translate(context, text, disambig, _encoding)
except AttributeError:
    def _translate(context, text, disambig):
        return QtGui.QApplication.translate(context, text, disambig)
 
 
 
 
class Ui_MainWindow(object):
    def setupUi(self, MainWindow):
        MainWindow.setObjectName(_fromUtf8("MainWindow"))
        MainWindow.resize(902, 672)
        self.centralwidget = QtGui.QWidget(MainWindow)
        self.centralwidget.setObjectName(_fromUtf8("centralwidget"))
        self.runbutton = QtGui.QPushButton(self.centralwidget)
        self.runbutton.setGeometry(QtCore.QRect(10, 10, 171, 51))
        self.runbutton.setObjectName(_fromUtf8("runbutton"))
        self.plainTextEdit = QtGui.QPlainTextEdit(self.centralwidget)
        self.plainTextEdit.setGeometry(QtCore.QRect(10, 80, 881, 581))
        self.plainTextEdit.setObjectName(_fromUtf8("plainTextEdit"))
        self.Exitbutton = QtGui.QPushButton(self.centralwidget)
        self.Exitbutton.setGeometry(QtCore.QRect(780, 10, 112, 34))
        self.Exitbutton.setObjectName(_fromUtf8("Exitbutton"))
        MainWindow.setCentralWidget(self.centralwidget)
 
        self.retranslateUi(MainWindow)
        QtCore.QMetaObject.connectSlotsByName(MainWindow)
        self.runbutton.clicked.connect(lambda:start_dyn())
        self.Exitbutton.clicked.connect(QtCore.QCoreApplication.instance().quit)
 
    def retranslateUi(self, MainWindow):
        MainWindow.setWindowTitle(_translate("MainWindow", "WSEM Dynamics", None))
        self.runbutton.setText(_translate("MainWindow", "Run WSEM dynamic", None))
        self.Exitbutton.setText(_translate("MainWindow", "Exit", None))
 
 
 
if __name__ == "__main__":
    import sys
    app = QtGui.QApplication(sys.argv)
    MainWindow = QtGui.QMainWindow()
    ui = Ui_MainWindow()
    ui.setupUi(MainWindow)
    MainWindow.show()
    sys.exit(app.exec_())

#!/usr/bin/env python
# -*- coding: utf-8 -*-
 
 
import random
import matplotlib.pyplot as plt
import me_contacts
import me_energy
 
 
 
from me_pdbread import *
from datetime import *
 
P_flip = .4
def start_dyn():
    print("\nRun little bottom program, Run!")
    tstart = datetime.now()
    print tstart
    M = 100
    Nr = length
    T0 = .25
    e_list = []
    m_list = []
    # вот создал список
    list0 = [random.randint(0, 1) for i in range(Nr)]
    print "\nвот наш начальный список без Б    - ", list0, "\n"
    listime = range(1, M)
    print ("\nтеперь ка пожалуй сгенерим матрицу : \n")
    matrix = me_contacts.wsme_contacts_pdb()
    for r in matrix:
        print r
    print "\ninitial energy = ", me_energy.me_energy(matrix, list0), "\n"
    print "initial moment = ", sum(list0)*Nr**(-1), "\n"
    e_list.append(me_energy.me_energy(matrix, list0))
    m_list.append(sum(list0)*Nr**(-1))
    for t in listime:
        while True:
            i = random.randint(0, Nr-1)
            list1 = list0
            if list1[i] == 1:
                list1[i] = 0
            elif list1[i] == 0:
                list1[i] = 1
            e0 = me_energy.me_energy(matrix, list0)
            e1 = me_energy.me_energy(matrix, list1)
            delta_e = e1 - e0
            P_flip = 1/(1+math.exp(delta_e/T0))
            if P_flip > random.random():
                list0 = list1
                e_list.append(me_energy.me_energy(matrix, list0))
                m_list.append(sum(list0)*Nr**(-1))
                break
            else:
                continue
    print 'Energy list = ', e_list, '\n'
    print "Moment list = ", m_list, "\n"
    print ("вот конечная конформация - "),  list0, ("\n")
    print "final energy = ", me_energy.me_energy(matrix, list0), "\n"
    print "final moment = ", sum(list0)*Nr**(-1), "\n"
    tend = datetime.now()
    delta = tend - tstart
    print("\nDo you remember the bottom program, that was standing and defending itself? Well, that has changed - "), tend, "\n"
    print "Current run taked = ", delta, "sec."
    plt.figure(1)
    plt.subplot(211)
    plt.plot(e_list)
    plt.subplot(212)
    plt.plot(m_list,color='r')
    plt.show()

from PyQt4 import QtGui
 
app = QtGui.QApplication([])
window = QtGui.QPlainTextEdit()
window.appendPlainText('первая строка')
window.appendPlainText('вторая строка')
window.show()
app.exec_()