# # 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 = Bray1993_chemotaxis # # is urn:miriam:biomodels.db:BIOMD0000000404 # is urn:miriam:biomodels.db:MODEL6929313478 # isDescribedBy urn:miriam:pubmed:8334303 # 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 z=function_function_4_motor_r1(M,MYp,Yp,cell,ka,kappa), z=(ka*(M*Yp-kappa/4*MYp)/cell);endfunction function z=function_function_4_motor_r2(MYp,MYpYp,Yp,alpha,cell,ka,kappa), z=(ka*(MYp*Yp-2*alpha*kappa/3*MYpYp)/cell);endfunction function z=function_function_4_motor_r3(MYpYp,MYpYpYp,Yp,alpha,cell,ka,kappa), z=(ka*(MYpYp*Yp-3*alpha*alpha*kappa/2*MYpYpYp)/cell);endfunction function z=function_function_4_motor_r4(MYpYpYp,MYpYpYpYp,Yp,alpha,cell,ka,kappa), z=(ka*(MYpYpYp*Yp-4*alpha*alpha*alpha*kappa*MYpYpYpYp)/cell);endfunction function z=function_Autophosphorylation(kcat,correction,E), z=(kcat*correction*E);endfunction function z=function_ModAutophosphorylation(M,S,kcat,correction), z=(M*S*kcat*correction);endfunction function xdot=f(x,t) # Compartment: id = cell, name = cell, constant compartment_cell=1.41E-15; # Parameter: id = alpha, name = alpha global_par_alpha=0.14; # Parameter: id = kappa, name = kappa global_par_kappa=2.25E-7; # Parameter: id = ka, name = ka global_par_ka=0.1; # Parameter: id = Bias, name = Bias # Parameter: id = parameter_1, name = asp_pulse global_par_parameter_1=1.0E-7; # Parameter: id = parameter_2, name = autoPhospho # Parameter: id = parameter_3, name = KmATP global_par_parameter_3=3.0E-4; # assignmentRule: variable = Bias global_par_Bias=(x(23)+x(24))/(x(23)+x(24)+x(25)+x(26)+x(27)); # assignmentRule: variable = parameter_2 global_par_parameter_2=const_species_species_1/(const_species_species_1+global_par_parameter_3); # Reaction: id = phosphorylation_r1, name = A->Ap # Local Parameter: id = kcat, name = kcat reaction_phosphorylation_r1_kcat=0.0010; reaction_phosphorylation_r1=compartment_cell*function_Autophosphorylation(reaction_phosphorylation_r1_kcat, global_par_parameter_2, x(16)); # Reaction: id = phosphorylation_r2, name = TWA+A->TWA+Ap # Local Parameter: id = kcat, name = kcat reaction_phosphorylation_r2_kcat=75000.0; reaction_phosphorylation_r2=compartment_cell*function_ModAutophosphorylation(x(13), x(16), reaction_phosphorylation_r2_kcat, global_par_parameter_2); # Reaction: id = phosphorylation_r3, name = Tni_WA+A->Tni_WA+Ap # Local Parameter: id = kcat, name = kcat reaction_phosphorylation_r3_kcat=200000.0; reaction_phosphorylation_r3=compartment_cell*function_ModAutophosphorylation(x(15), x(16), reaction_phosphorylation_r3_kcat, global_par_parameter_2); # Reaction: id = phosphorylation_r4, name = Tasp_WA+Yp->Tasp_WA+Y # Local Parameter: id = k1, name = k1 reaction_phosphorylation_r4_k1=1.0E8; reaction_phosphorylation_r4=compartment_cell*reaction_phosphorylation_r4_k1*x(14)*x(22); # Reaction: id = phosphorylation_r5, name = Ap+Y->A+Yp # Local Parameter: id = k1, name = k1 reaction_phosphorylation_r5_k1=200000.0; reaction_phosphorylation_r5=compartment_cell*reaction_phosphorylation_r5_k1*x(17)*x(21); # Reaction: id = phosphorylation_r6, name = Y ->Yp # Local Parameter: id = kcat, name = kcat reaction_phosphorylation_r6_kcat=0.0; reaction_phosphorylation_r6=compartment_cell*function_Autophosphorylation(reaction_phosphorylation_r6_kcat, global_par_parameter_2, x(21)); # Reaction: id = phosphorylation_r7, name = Yp->Y # Local Parameter: id = k1, name = k1 reaction_phosphorylation_r7_k1=0.037; reaction_phosphorylation_r7=compartment_cell*reaction_phosphorylation_r7_k1*x(22); # Reaction: id = phosphorylation_r8, name = Yp+Z->Y+Z # Local Parameter: id = k1, name = k1 reaction_phosphorylation_r8_k1=500000.0; reaction_phosphorylation_r8=compartment_cell*reaction_phosphorylation_r8_k1*x(22)*x(20); # Reaction: id = phosphorylation_r9, name = Ap+B->A+Bp # Local Parameter: id = k1, name = k1 reaction_phosphorylation_r9_k1=1000000.0; reaction_phosphorylation_r9=compartment_cell*reaction_phosphorylation_r9_k1*x(17)*x(18); # Reaction: id = phosphorylation_r10, name = Bp->B # Local Parameter: id = k1, name = k1 reaction_phosphorylation_r10_k1=1.0; reaction_phosphorylation_r10=compartment_cell*reaction_phosphorylation_r10_k1*x(19); # Reaction: id = regulatory_r1, name = T+asp<->Tasp # Local Parameter: id = k1, name = k1 reaction_regulatory_r1_k1=1000000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r1_k2=1.0; reaction_regulatory_r1=compartment_cell*(reaction_regulatory_r1_k1*x(2)*x(1)-reaction_regulatory_r1_k2*x(3)); # Reaction: id = regulatory_r2, name = T+ni<->Tni # Local Parameter: id = k1, name = k1 reaction_regulatory_r2_k1=1000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r2_k2=1.0; reaction_regulatory_r2=compartment_cell*(reaction_regulatory_r2_k1*x(2)*const_species_ni-reaction_regulatory_r2_k2*x(4)); # Reaction: id = regulatory_r3, name = T+W<->TW # Local Parameter: id = k1, name = k1 reaction_regulatory_r3_k1=100000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r3_k2=1.0; reaction_regulatory_r3=compartment_cell*(reaction_regulatory_r3_k1*x(2)*x(5)-reaction_regulatory_r3_k2*x(6)); # Reaction: id = regulatory_r4, name = T+A<->TA # Local Parameter: id = k1, name = k1 reaction_regulatory_r4_k1=10000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r4_k2=1.0; reaction_regulatory_r4=compartment_cell*(reaction_regulatory_r4_k1*x(2)*x(16)-reaction_regulatory_r4_k2*x(9)); # Reaction: id = regulatory_r5, name = W+A<->WA # Local Parameter: id = k1, name = k1 reaction_regulatory_r5_k1=100000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r5_k2=1.0; reaction_regulatory_r5=compartment_cell*(reaction_regulatory_r5_k1*x(5)*x(16)-reaction_regulatory_r5_k2*x(12)); # Reaction: id = regulatory_r6, name = TW+A<->TWA # Local Parameter: id = k1, name = k1 reaction_regulatory_r6_k1=400000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r6_k2=1.0; reaction_regulatory_r6=compartment_cell*(reaction_regulatory_r6_k1*x(6)*x(16)-reaction_regulatory_r6_k2*x(13)); # Reaction: id = regulatory_r7, name = TA+W<->TWA # Local Parameter: id = k1, name = k1 reaction_regulatory_r7_k1=400000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r7_k2=1.0; reaction_regulatory_r7=compartment_cell*(reaction_regulatory_r7_k1*x(9)*x(5)-reaction_regulatory_r7_k2*x(13)); # Reaction: id = regulatory_r8, name = T+WA<->TWA # Local Parameter: id = k1, name = k1 reaction_regulatory_r8_k1=400000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r8_k2=1.0; reaction_regulatory_r8=compartment_cell*(reaction_regulatory_r8_k1*x(2)*x(12)-reaction_regulatory_r8_k2*x(13)); # Reaction: id = regulatory_r9, name = Tasp+W<->Tasp_W # Local Parameter: id = k1, name = k1 reaction_regulatory_r9_k1=100000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r9_k2=1.0; reaction_regulatory_r9=compartment_cell*(reaction_regulatory_r9_k1*x(3)*x(5)-reaction_regulatory_r9_k2*x(7)); # Reaction: id = regulatory_r10, name = Tasp+A<->Tasp_A # Local Parameter: id = k1, name = k1 reaction_regulatory_r10_k1=10000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r10_k2=1.0; reaction_regulatory_r10=compartment_cell*(reaction_regulatory_r10_k1*x(3)*x(16)-reaction_regulatory_r10_k2*x(10)); # Reaction: id = regulatory_r11, name = Tasp_W+A<->Tasp_WA # Local Parameter: id = k1, name = k1 reaction_regulatory_r11_k1=400000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r11_k2=1.0; reaction_regulatory_r11=compartment_cell*(reaction_regulatory_r11_k1*x(7)*x(16)-reaction_regulatory_r11_k2*x(14)); # Reaction: id = regulatory_r12, name = Tasp_A+W<->Tasp_WA # Local Parameter: id = k1, name = k1 reaction_regulatory_r12_k1=400000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r12_k2=1.0; reaction_regulatory_r12=compartment_cell*(reaction_regulatory_r12_k1*x(10)*x(5)-reaction_regulatory_r12_k2*x(14)); # Reaction: id = regulatory_r13, name = Tasp+WA<->Tasp_WA # Local Parameter: id = k1, name = k1 reaction_regulatory_r13_k1=400000.0; # Local Parameter: id = k2, name = k2 reaction_regulatory_r13_k2=1.0; reaction_regulatory_r13=compartment_cell*(reaction_regulatory_r13_k1*x(3)*x(12)-reaction_regulatory_r13_k2*x(14)); # Reaction: id = regulatory_r14, name = Tni+W<->Tni_W # Local Parameter: id = k1, name = k1 reaction_regulatory_r14_k1=0.1; # Local Parameter: id = k2, name = k2 reaction_regulatory_r14_k2=1.0; reaction_regulatory_r14=compartment_cell*(reaction_regulatory_r14_k1*x(4)*x(5)-reaction_regulatory_r14_k2*x(8)); # Reaction: id = regulatory_r15, name = Tni+A<->Tni_A # Local Parameter: id = k1, name = k1 reaction_regulatory_r15_k1=0.01; # Local Parameter: id = k2, name = k2 reaction_regulatory_r15_k2=1.0; reaction_regulatory_r15=compartment_cell*(reaction_regulatory_r15_k1*x(4)*x(16)-reaction_regulatory_r15_k2*x(11)); # Reaction: id = regulatory_r16, name = Tni_W+A<->Tni_WA # Local Parameter: id = k1, name = k1 reaction_regulatory_r16_k1=0.4; # Local Parameter: id = k2, name = k2 reaction_regulatory_r16_k2=1.0; reaction_regulatory_r16=compartment_cell*(reaction_regulatory_r16_k1*x(8)*x(16)-reaction_regulatory_r16_k2*x(15)); # Reaction: id = regulatory_r17, name = Tni_A+W<->Tni_WA # Local Parameter: id = k1, name = k1 reaction_regulatory_r17_k1=0.4; # Local Parameter: id = k2, name = k2 reaction_regulatory_r17_k2=1.0; reaction_regulatory_r17=compartment_cell*(reaction_regulatory_r17_k1*x(11)*x(5)-reaction_regulatory_r17_k2*x(15)); # Reaction: id = regulatory_r18, name = Tni+WA<->Tni_WA # Local Parameter: id = k1, name = k1 reaction_regulatory_r18_k1=0.4; # Local Parameter: id = k2, name = k2 reaction_regulatory_r18_k2=1.0; reaction_regulatory_r18=compartment_cell*(reaction_regulatory_r18_k1*x(4)*x(12)-reaction_regulatory_r18_k2*x(15)); # Reaction: id = motor_r1, name = M+Yp<->MYp reaction_motor_r1=compartment_cell*function_function_4_motor_r1(x(23), x(24), x(22), compartment_cell, global_par_ka, global_par_kappa); # Reaction: id = motor_r2, name = MYp+Yp<->MYpYp reaction_motor_r2=compartment_cell*function_function_4_motor_r2(x(24), x(25), x(22), global_par_alpha, compartment_cell, global_par_ka, global_par_kappa); # Reaction: id = motor_r3, name = MYpYp+Yp<->MYpYpYp reaction_motor_r3=compartment_cell*function_function_4_motor_r3(x(25), x(26), x(22), global_par_alpha, compartment_cell, global_par_ka, global_par_kappa); # Reaction: id = motor_r4, name = MYpYpYp+Yp<->MYpYpYpYp reaction_motor_r4=compartment_cell*function_function_4_motor_r4(x(26), x(27), x(22), global_par_alpha, compartment_cell, global_par_ka, global_par_kappa); # Reaction: id = reaction_1, name = TA + asp <-> Tasp_A # Local Parameter: id = k1, name = k1 reaction_reaction_1_k1=1000000.0; # Local Parameter: id = k2, name = k2 reaction_reaction_1_k2=1.0; reaction_reaction_1=compartment_cell*(reaction_reaction_1_k1*x(9)*x(1)-reaction_reaction_1_k2*x(10)); # Reaction: id = reaction_2, name = TW+asp <-> Tasp_W # Local Parameter: id = k1, name = k1 reaction_reaction_2_k1=1000000.0; # Local Parameter: id = k2, name = k2 reaction_reaction_2_k2=1.0; reaction_reaction_2=compartment_cell*(reaction_reaction_2_k1*x(6)*x(1)-reaction_reaction_2_k2*x(7)); # Reaction: id = reaction_3, name = TWA+asp <-> Tasp_WA # Local Parameter: id = k1, name = k1 reaction_reaction_3_k1=1000000.0; # Local Parameter: id = k2, name = k2 reaction_reaction_3_k2=1.0; reaction_reaction_3=compartment_cell*(reaction_reaction_3_k1*x(13)*x(1)-reaction_reaction_3_k2*x(14)); # Species: id = ni, name = ni, constant const_species_ni=0.0; # Species: id = species_1, name = ATP, constant const_species_species_1=0.1; #Event: id=event_1 event_event_1=time >= 5; if(event_event_1) x(1)=global_par_parameter_1; endif #Event: id=event_2 event_event_2=time >= 10; if(event_event_2) x(1)=0; endif xdot=zeros(27,1); # Species: id = asp, name = asp xdot(1) = ; # Species: id = T, name = T, affected by kineticLaw xdot(2) = (1/(compartment_cell))*((-1.0 * reaction_regulatory_r1) + (-1.0 * reaction_regulatory_r2) + (-1.0 * reaction_regulatory_r3) + (-1.0 * reaction_regulatory_r4) + (-1.0 * reaction_regulatory_r8)); # Species: id = Tasp, name = Tasp, affected by kineticLaw xdot(3) = (1/(compartment_cell))*(( 1.0 * reaction_regulatory_r1) + (-1.0 * reaction_regulatory_r9) + (-1.0 * reaction_regulatory_r10) + (-1.0 * reaction_regulatory_r13)); # Species: id = Tni, name = Tni, affected by kineticLaw xdot(4) = (1/(compartment_cell))*(( 1.0 * reaction_regulatory_r2) + (-1.0 * reaction_regulatory_r14) + (-1.0 * reaction_regulatory_r15) + (-1.0 * reaction_regulatory_r18)); # Species: id = W, name = W, affected by kineticLaw xdot(5) = (1/(compartment_cell))*((-1.0 * reaction_regulatory_r3) + (-1.0 * reaction_regulatory_r5) + (-1.0 * reaction_regulatory_r7) + (-1.0 * reaction_regulatory_r9) + (-1.0 * reaction_regulatory_r12) + (-1.0 * reaction_regulatory_r14) + (-1.0 * reaction_regulatory_r17)); # Species: id = TW, name = TW, affected by kineticLaw xdot(6) = (1/(compartment_cell))*(( 1.0 * reaction_regulatory_r3) + (-1.0 * reaction_regulatory_r6) + (-1.0 * reaction_reaction_2)); # Species: id = Tasp_W, name = Tasp_W, affected by kineticLaw xdot(7) = (1/(compartment_cell))*(( 1.0 * reaction_regulatory_r9) + (-1.0 * reaction_regulatory_r11) + ( 1.0 * reaction_reaction_2)); # Species: id = Tni_W, name = Tni_W, affected by kineticLaw xdot(8) = (1/(compartment_cell))*(( 1.0 * reaction_regulatory_r14) + (-1.0 * reaction_regulatory_r16)); # Species: id = TA, name = TA, affected by kineticLaw xdot(9) = (1/(compartment_cell))*(( 1.0 * reaction_regulatory_r4) + (-1.0 * reaction_regulatory_r7) + (-1.0 * reaction_reaction_1)); # Species: id = Tasp_A, name = Tasp_A, affected by kineticLaw xdot(10) = (1/(compartment_cell))*(( 1.0 * reaction_regulatory_r10) + (-1.0 * reaction_regulatory_r12) + ( 1.0 * reaction_reaction_1)); # Species: id = Tni_A, name = Tni_A, affected by kineticLaw xdot(11) = (1/(compartment_cell))*(( 1.0 * reaction_regulatory_r15) + (-1.0 * reaction_regulatory_r17)); # Species: id = WA, name = WA, affected by kineticLaw xdot(12) = (1/(compartment_cell))*(( 1.0 * reaction_regulatory_r5) + (-1.0 * reaction_regulatory_r8) + (-1.0 * reaction_regulatory_r13) + (-1.0 * reaction_regulatory_r18)); # Species: id = TWA, name = TWA, affected by kineticLaw xdot(13) = (1/(compartment_cell))*(( 1.0 * reaction_regulatory_r6) + ( 1.0 * reaction_regulatory_r7) + ( 1.0 * reaction_regulatory_r8) + (-1.0 * reaction_reaction_3)); # Species: id = Tasp_WA, name = Tasp_WA, affected by kineticLaw xdot(14) = (1/(compartment_cell))*((-1.0 * reaction_phosphorylation_r4) + ( 1.0 * reaction_phosphorylation_r4) + ( 1.0 * reaction_regulatory_r11) + ( 1.0 * reaction_regulatory_r12) + ( 1.0 * reaction_regulatory_r13) + ( 1.0 * reaction_reaction_3)); # Species: id = Tni_WA, name = Tni_WA, affected by kineticLaw xdot(15) = (1/(compartment_cell))*(( 1.0 * reaction_regulatory_r16) + ( 1.0 * reaction_regulatory_r17) + ( 1.0 * reaction_regulatory_r18)); # Species: id = A, name = A, affected by kineticLaw xdot(16) = (1/(compartment_cell))*((-1.0 * reaction_phosphorylation_r1) + (-1.0 * reaction_phosphorylation_r2) + (-1.0 * reaction_phosphorylation_r3) + ( 1.0 * reaction_phosphorylation_r5) + ( 1.0 * reaction_phosphorylation_r9) + (-1.0 * reaction_regulatory_r4) + (-1.0 * reaction_regulatory_r5) + (-1.0 * reaction_regulatory_r6) + (-1.0 * reaction_regulatory_r10) + (-1.0 * reaction_regulatory_r11) + (-1.0 * reaction_regulatory_r15) + (-1.0 * reaction_regulatory_r16)); # Species: id = Ap, name = Ap, affected by kineticLaw xdot(17) = (1/(compartment_cell))*(( 1.0 * reaction_phosphorylation_r1) + ( 1.0 * reaction_phosphorylation_r2) + ( 1.0 * reaction_phosphorylation_r3) + (-1.0 * reaction_phosphorylation_r5) + (-1.0 * reaction_phosphorylation_r9)); # Species: id = B, name = B, affected by kineticLaw xdot(18) = (1/(compartment_cell))*((-1.0 * reaction_phosphorylation_r9) + ( 1.0 * reaction_phosphorylation_r10)); # Species: id = Bp, name = Bp, affected by kineticLaw xdot(19) = (1/(compartment_cell))*(( 1.0 * reaction_phosphorylation_r9) + (-1.0 * reaction_phosphorylation_r10)); # Species: id = Z, name = Z, affected by kineticLaw xdot(20) = (1/(compartment_cell))*((-1.0 * reaction_phosphorylation_r8) + ( 1.0 * reaction_phosphorylation_r8)); # Species: id = Y, name = Y, affected by kineticLaw xdot(21) = (1/(compartment_cell))*(( 1.0 * reaction_phosphorylation_r4) + (-1.0 * reaction_phosphorylation_r5) + (-1.0 * reaction_phosphorylation_r6) + ( 1.0 * reaction_phosphorylation_r7) + ( 1.0 * reaction_phosphorylation_r8)); # Species: id = Yp, name = Yp, affected by kineticLaw xdot(22) = (1/(compartment_cell))*((-1.0 * reaction_phosphorylation_r4) + ( 1.0 * reaction_phosphorylation_r5) + ( 1.0 * reaction_phosphorylation_r6) + (-1.0 * reaction_phosphorylation_r7) + (-1.0 * reaction_phosphorylation_r8) + (-1.0 * reaction_motor_r1) + (-1.0 * reaction_motor_r2) + (-1.0 * reaction_motor_r3) + (-1.0 * reaction_motor_r4)); # Species: id = M, name = M, affected by kineticLaw xdot(23) = (1/(compartment_cell))*((-1.0 * reaction_motor_r1)); # Species: id = MYp, name = MYp, affected by kineticLaw xdot(24) = (1/(compartment_cell))*(( 1.0 * reaction_motor_r1) + (-1.0 * reaction_motor_r2)); # Species: id = MYpYp, name = MYpYp, affected by kineticLaw xdot(25) = (1/(compartment_cell))*(( 1.0 * reaction_motor_r2) + (-1.0 * reaction_motor_r3)); # Species: id = MYpYpYp, name = MYpYpYp, affected by kineticLaw xdot(26) = (1/(compartment_cell))*(( 1.0 * reaction_motor_r3) + (-1.0 * reaction_motor_r4)); # Species: id = MYpYpYpYp, name = MYpYpYpYp, affected by kineticLaw xdot(27) = (1/(compartment_cell))*(( 1.0 * reaction_motor_r4)); endfunction #Initial conditions vector x0=zeros(27,1); x0(1) = 0.0; x0(2) = 3.12E-6; x0(3) = 0.0; x0(4) = 0.0; x0(5) = 2.89E-6; x0(6) = 5.91E-7; x0(7) = 0.0; x0(8) = 0.0; x0(9) = 4.44E-7; x0(10) = 0.0; x0(11) = 0.0; x0(12) = 6.78E-7; x0(13) = 8.47E-7; x0(14) = 0.0; x0(15) = 0.0; x0(16) = 3.0E-6; x0(17) = 3.48E-8; x0(18) = 1.93E-6; x0(19) = 6.87E-8; x0(20) = 2.0E-5; x0(21) = 9.9E-6; x0(22) = 7.0E-9; x0(23) = 6.24E-9; x0(24) = 7.77E-10; x0(25) = 2.99E-10; x0(26) = 3.78E-10; x0(27) = 2.31E-9; #Creating linespace t=linspace(0,90,100); #Solving equations x=lsode("f",x0,t); #ploting the results plot(t,x);