# # This file is automatically generated with # the System Biology Format Converter (http://sbfc.sourceforge.net/) # from an SBML file. # # The conversion system has the following limitations: # - You may have to re order some reactions and Assignment Rules definition # - Delays are not taken into account # - You should change the lsode parameters (start, end, steps) to get better results # # # The following line is there to be sure that Octave think that this file # is a script and not function file # 1; # # Model name = Novak1997_CellCycle # # is urn:miriam:biomodels.db:BIOMD0000000007 # is urn:miriam:biomodels.db:MODEL6614787694 # isDescribedBy urn:miriam:pubmed:9256450 # function z=pow(x,y),z=x^y;endfunction function z=root(x,y),z=y^(1/x);endfunction function z = piecewise(varargin) numArgs = nargin; result = 0; foundResult = 0; for k=1:2: numArgs-1 if varargin{k+1} == 1 result = varargin{k}; foundResult = 1; break; endif end if foundResult == 0 result = varargin{numArgs}; endif z = result; endfunction function xdot=f(x,t) # Compartment: id = Cell, name = Cell, constant compartment_Cell=1.0; # Parameter: id = mu, name = mu global_par_mu=0.00495; # Parameter: id = Mass, name = Mass # Parameter: id = k1, name = k1 global_par_k1=0.015; # Parameter: id = k2prime, name = k2' global_par_k2prime=0.05; # Parameter: id = k3, name = k3 global_par_k3=0.09375; # Parameter: id = k4, name = k4 global_par_k4=0.1875; # Parameter: id = k5, name = k5 global_par_k5=0.00175; # Parameter: id = k6prime, name = k6' global_par_k6prime=0.0; # Parameter: id = k7, name = k7 global_par_k7=100.0; # Parameter: id = k7r, name = k7r global_par_k7r=0.1; # Parameter: id = k8, name = k8 global_par_k8=10.0; # Parameter: id = k8r, name = k8r global_par_k8r=0.1; # Parameter: id = kc, name = kc global_par_kc=1.0; # Parameter: id = kcr, name = kcr global_par_kcr=0.25; # Parameter: id = ki, name = ki global_par_ki=0.4; # Parameter: id = kir, name = kir global_par_kir=0.1; # Parameter: id = kp, name = kp global_par_kp=3.25; # Parameter: id = ku, name = ku global_par_ku=0.2; # Parameter: id = kur, name = kur global_par_kur=0.1; # Parameter: id = ku2, name = ku2 global_par_ku2=1.0; # Parameter: id = kur2, name = kur2 global_par_kur2=0.3; # Parameter: id = kw, name = kw global_par_kw=1.0; # Parameter: id = kwr, name = kwr global_par_kwr=0.25; # Parameter: id = V2, name = V2 global_par_V2=0.25; # Parameter: id = V2prime, name = V2' global_par_V2prime=0.0075; # Parameter: id = V6, name = V6 global_par_V6=7.5; # Parameter: id = V6prime, name = V6' global_par_V6prime=0.0375; # Parameter: id = V25, name = V25 global_par_V25=0.5; # Parameter: id = V25prime, name = V25' global_par_V25prime=0.025; # Parameter: id = Vw, name = Vw global_par_Vw=0.35; # Parameter: id = Vwprime, name = Vw' global_par_Vwprime=0.035; # Parameter: id = Kmc, name = Kmc global_par_Kmc=0.1; # Parameter: id = Kmcr, name = Kmcr global_par_Kmcr=0.1; # Parameter: id = Kmi, name = Kmi global_par_Kmi=0.01; # Parameter: id = Kmir, name = Kmir global_par_Kmir=0.01; # Parameter: id = Kmp, name = Kmp global_par_Kmp=0.0010; # Parameter: id = Kmu, name = Kmu global_par_Kmu=0.01; # Parameter: id = Kmur, name = Kmur global_par_Kmur=0.01; # Parameter: id = Kmu2, name = Kmu2 global_par_Kmu2=0.05; # Parameter: id = Kmur2, name = Kmur2 global_par_Kmur2=0.05; # Parameter: id = Kmw, name = Kmw global_par_Kmw=0.1; # Parameter: id = Kmwr, name = Kmwr global_par_Kmwr=0.1; # Parameter: id = alpha, name = alpha global_par_alpha=0.25; # Parameter: id = beta, name = beta global_par_beta=0.05; # Parameter: id = Cig1, name = Cig1 global_par_Cig1=0.0; # Parameter: id = k2, name = k2 # Parameter: id = k6, name = k6 # Parameter: id = kwee, name = kwee # Parameter: id = k25, name = k25 # rateRule: variable = Mass global_par_Mass = x(23); # assignmentRule: variable = IEB x(15)=1-x(8); # assignmentRule: variable = UbEB x(16)=1-x(1); # assignmentRule: variable = UbE2B x(17)=1-x(2); # assignmentRule: variable = Wee1B x(18)=1-x(3); # assignmentRule: variable = Cdc25B x(19)=1-x(4); # assignmentRule: variable = Rum1Total x(20)=x(10)+x(11)+x(12)+x(6); # assignmentRule: variable = Cdc13Total x(21)=x(5)+x(11)+x(9)+x(12); # assignmentRule: variable = Cig2Total x(22)=x(7)+x(10); # assignmentRule: variable = k2 global_par_k2=x(1)*global_par_V2+(1-x(1))*global_par_V2prime; # assignmentRule: variable = k6 global_par_k6=x(2)*global_par_V6+(1-x(2))*global_par_V6prime; # assignmentRule: variable = kwee global_par_kwee=global_par_Vwprime*(1-x(3))+global_par_Vw*x(3); # assignmentRule: variable = k25 global_par_k25=x(4)*global_par_V25+(1-x(4))*global_par_V25prime; # assignmentRule: variable = MPF x(14)=x(5)+global_par_beta*x(9); # assignmentRule: variable = SPF x(13)=global_par_Cig1+global_par_alpha*x(7)+x(14); # Reaction: id = G2K_Creation, name = Cdc13_Cdc2 creation reaction_G2K_Creation=global_par_k1; # Reaction: id = G1K_Creation, name = Cig2_Cdc2 creation reaction_G1K_Creation=global_par_k5; # Reaction: id = Cdc2Phos, name = Cdc2 phosphorylation reaction_Cdc2Phos=x(5)*global_par_kwee-global_par_k25*x(9); # Reaction: id = G2R_Creation, name = binding of Rum1 with Cdc13_Cdc2 reaction_G2R_Creation=x(5)*global_par_k7*x(6)-x(11)*global_par_k7r; # Reaction: id = PG2R_Creation, name = binding of Rum1 with Cdc13_P-Cdc2 reaction_PG2R_Creation=global_par_k7*x(9)*x(6)-global_par_k7r*x(12); # Reaction: id = Rum1DegInG2R, name = Rum1 degradation in Rum1_Cdc13_Cdc2 reaction_Rum1DegInG2R=x(11)*global_par_k4; # Reaction: id = Rum1Deg, name = Rum1 degradation in solution reaction_Rum1Deg=global_par_k4*x(6); # Reaction: id = Rum1DegInPG2R, name = Rum1 degradation in Rum1_Cdc13_P-Cdc2 reaction_Rum1DegInPG2R=global_par_k4*x(12); # Reaction: id = RumDegInG1R, name = Rum1 degradation in Rum1_Cig2_Cdc2 reaction_RumDegInG1R=x(10)*global_par_k4; # Reaction: id = G2K_dissoc, name = Cdc13 degradation in Cdc13_Cdc2 reaction_G2K_dissoc=x(5)*global_par_k2; # Reaction: id = PG2_dissoc, name = Cdc13 degradation in Cdc13_P-Cdc2 reaction_PG2_dissoc=global_par_k2*x(9); # Reaction: id = G1K_Dissociation, name = Cig2 degradation in Cig2_Cdc2 reaction_G1K_Dissociation=x(7)*global_par_k6; # Reaction: id = PG2R_Dissociation, name = Cdc13 degradation in Rum1_Cdc13_P-Cdc2 reaction_PG2R_Dissociation=global_par_k2prime*x(12); # Reaction: id = G2R_Dissociation, name = Cdc13 degradation in Rum1_Cdc13_Cdc2 reaction_G2R_Dissociation=x(11)*global_par_k2prime; # Reaction: id = G1R_Dissociation, name = Cig2 degradation in Rum1_Cig2_Cdc2 reaction_G1R_Dissociation=x(10)*global_par_k6prime; # Reaction: id = G1R_Binding, name = Binding of Rum1 to Cig2_Cdc2 reaction_G1R_Binding=x(7)*global_par_k8*x(6)-x(10)*global_par_k8r; # Reaction: id = G2R_Dissociation_UbE, name = UbE mediated degradation of Cdc13_Cdc2 in Rum1_Cdc13_Cdc2 reaction_G2R_Dissociation_UbE=x(11)*global_par_k2; # Reaction: id = PG2R_Dissociation_UbE, name = UbE mediated degradation of Cdc13_Cdc2 in Rum1_Cdc13_P-Cdc2 reaction_PG2R_Dissociation_UbE=global_par_k2*x(12); # Reaction: id = Rum1_Production, name = Rum1 creation reaction_Rum1_Production=global_par_k3; # Reaction: id = Rum1_Deg_SPF, name = Rum1 degradation by SPF reaction_Rum1_Deg_SPF=global_par_kp*global_par_Mass*x(6)*x(13)/(global_par_Kmp+x(6)); # Reaction: id = IE_Reaction, name = IE production & degradation reaction_IE_Reaction=x(15)*global_par_ki*x(14)/(x(15)+global_par_Kmi)-x(8)*global_par_kir/(x(8)+global_par_Kmir); # Reaction: id = UbE_Reaction, name = UbE production & degradation reaction_UbE_Reaction=x(8)*global_par_ku*x(16)/(global_par_Kmu+x(16))-global_par_kur*x(1)/(global_par_Kmur+x(1)); # Reaction: id = UbE2_Reaction, name = UbE2 production & degradation reaction_UbE2_Reaction=global_par_ku2*x(14)*x(17)/(global_par_Kmu2+x(17))-global_par_kur2*x(2)/(global_par_Kmur2+x(2)); # Reaction: id = Wee1_Reaction, name = Wee1 production & degradation reaction_Wee1_Reaction=global_par_kwr*x(18)/(global_par_Kmwr+x(18))-global_par_kw*x(14)*x(3)/(global_par_Kmw+x(3)); # Reaction: id = Cdc25_Reaction, name = Cdc25 production & degradation reaction_Cdc25_Reaction=x(19)*global_par_kc*x(14)/(x(19)+global_par_Kmc)-x(4)*global_par_kcr/(x(4)+global_par_Kmcr); #Event: id=Start event_Start=x(13) >= 0.1; if(event_Start) global_par_kp=global_par_kp/2; endif #Event: id=Division event_Division=x(1) <= 0.1; if(event_Division) global_par_kp=2*global_par_kp; global_par_Mass=global_par_Mass/2; endif xdot=zeros(23,1); # rateRule: variable = Mass xdot(23) = global_par_Mass*global_par_mu; # Species: id = UbE, name = ubiquitinProtease1, affected by kineticLaw xdot(1) = ( 1.0 * reaction_UbE_Reaction); # Species: id = UbE2, name = ubiquitinProtease2, affected by kineticLaw xdot(2) = ( 1.0 * reaction_UbE2_Reaction); # Species: id = Wee1, name = Wee1, affected by kineticLaw xdot(3) = ( 1.0 * reaction_Wee1_Reaction); # Species: id = Cdc25, name = Cdc25, affected by kineticLaw xdot(4) = ( 1.0 * reaction_Cdc25_Reaction); # Species: id = G2K, name = Cdc13_Cdc2, affected by kineticLaw xdot(5) = ( 1.0 * reaction_G2K_Creation) + (-1.0 * reaction_Cdc2Phos) + (-1.0 * reaction_G2R_Creation) + ( 1.0 * reaction_Rum1DegInG2R) + (-1.0 * reaction_G2K_dissoc); # Species: id = R, name = FreeRum1, affected by kineticLaw xdot(6) = (-1.0 * reaction_G2R_Creation) + (-1.0 * reaction_PG2R_Creation) + (-1.0 * reaction_Rum1Deg) + ( 1.0 * reaction_PG2R_Dissociation) + ( 1.0 * reaction_G2R_Dissociation) + ( 1.0 * reaction_G1R_Dissociation) + (-1.0 * reaction_G1R_Binding) + ( 1.0 * reaction_G2R_Dissociation_UbE) + ( 1.0 * reaction_PG2R_Dissociation_UbE) + ( 1.0 * reaction_Rum1_Production) + (-1.0 * reaction_Rum1_Deg_SPF); # Species: id = G1K, name = Cig2_Cdc2, affected by kineticLaw xdot(7) = ( 1.0 * reaction_G1K_Creation) + ( 1.0 * reaction_RumDegInG1R) + (-1.0 * reaction_G1K_Dissociation) + (-1.0 * reaction_G1R_Binding); # Species: id = IE, name = IntermediaryEnzyme, affected by kineticLaw xdot(8) = ( 1.0 * reaction_IE_Reaction); # Species: id = PG2, name = Cdc13_P-Cdc2, affected by kineticLaw xdot(9) = ( 1.0 * reaction_Cdc2Phos) + (-1.0 * reaction_PG2R_Creation) + ( 1.0 * reaction_Rum1DegInPG2R) + (-1.0 * reaction_PG2_dissoc); # Species: id = G1R, name = Cig2_Cdc2_Rum1, affected by kineticLaw xdot(10) = (-1.0 * reaction_RumDegInG1R) + (-1.0 * reaction_G1R_Dissociation) + ( 1.0 * reaction_G1R_Binding); # Species: id = G2R, name = Cdc13_Cdc2_Rum1, affected by kineticLaw xdot(11) = ( 1.0 * reaction_G2R_Creation) + (-1.0 * reaction_Rum1DegInG2R) + (-1.0 * reaction_G2R_Dissociation) + (-1.0 * reaction_G2R_Dissociation_UbE); # Species: id = PG2R, name = Cdc13_P-Cdc2_Rum1, affected by kineticLaw xdot(12) = ( 1.0 * reaction_PG2R_Creation) + (-1.0 * reaction_Rum1DegInPG2R) + (-1.0 * reaction_PG2R_Dissociation) + (-1.0 * reaction_PG2R_Dissociation_UbE); # Species: id = SPF, name = S-phasePromotingFactor, defined in a rule xdot(13) = x(13); # Species: id = MPF, name = M-phasePromotingFactor, defined in a rule xdot(14) = x(14); # Species: id = IEB, name = BoundIntermediaryEnzyme, involved in a rule xdot(15) = x(15); # Species: id = UbEB, name = BoundUbiquitinProtease1, involved in a rule xdot(16) = x(16); # Species: id = UbE2B, name = BoundUbiquitinProtease2, involved in a rule xdot(17) = x(17); # Species: id = Wee1B, name = BoundWee1, involved in a rule xdot(18) = x(18); # Species: id = Cdc25B, name = BoundCdc25, involved in a rule xdot(19) = x(19); # Species: id = Rum1Total, name = TotalRum1, defined in a rule xdot(20) = x(20); # Species: id = Cdc13Total, name = TotalCdc13, defined in a rule xdot(21) = x(21); # Species: id = Cig2Total, name = TotalCig2, defined in a rule xdot(22) = x(22); endfunction #Initial conditions vector x0=zeros(23,1); x0(23) = 0.49; x0(1) = 0.11; x0(2) = 0.0; x0(3) = 0.0; x0(4) = 0.0; x0(5) = 0.0; x0(6) = 0.4; x0(7) = 0.0; x0(8) = 0.0; x0(9) = 0.0; x0(10) = 0.0; x0(11) = 0.0; x0(12) = 0.0; x0(13) = 0.0; x0(14) = 0.0; x0(15) = 0.0; x0(16) = 0.0; x0(17) = 0.0; x0(18) = 0.0; x0(19) = 0.0; x0(20) = 0; x0(21) = 0; x0(22) = 0; #Creating linespace t=linspace(0,90,100); #Solving equations x=lsode("f",x0,t); #ploting the results plot(t,x);