Model Mathematics

Component: environment

Component: S_0

ddtimeS_0=R_0S_011-u_s-phiS_0

Component: S_1

ddtimeS_1=alphauR_0S_011-epsilon_s+R_1S_111-u_s-phiS_1

Component: S_2

ddtimeS_2=alphauR_1S_111-epsilon_s+R_2S_211-u_s-phiS_2

Component: S_3

ddtimeS_3=alphauR_2S_211-epsilon_s+R_3S_311-u_s-phiS_3

Component: S_4

ddtimeS_4=alphauR_3S_311-epsilon_s+R_4S_411-u_s-phiS_4

Component: S_5

ddtimeS_5=alphauR_4S_411-epsilon_s+R_5S_511-u_s-phiS_5

Component: S_6

ddtimeS_6=alphauR_5S_511-epsilon_s+R_6S_611-u_s-phiS_6

Component: S_7

ddtimeS_7=alphauR_6S_611-epsilon_s+R_7S_711-u_s-phiS_7

Component: S_8

ddtimeS_8=alphauR_7S_711-epsilon_s+R_8S_811-u_s-phiS_8

Component: M_0

ddtimeM_0=R_0M_011-u_m-phiM_0

Component: M_1

ddtimeM_1=M_01 ddtimeM_1_2=alphauR_0M_011-epsilon_m+R_1M_111-u_m-phiM_1

Component: M_2

ddtimeM_2=alphauR_1M_111-epsilon_m+R_2M_211-u_m-phiM_2

Component: M_3

ddtimeM_3=alphauR_2M_211-epsilon_m+R_3M_311-u_m-phiM_3

Component: M_4

ddtimeM_4=alphauR_3M_411-epsilon_m+R_4M_411-u_m-phiM_4

Component: M_5

ddtimeM_5=alphauR_4M_411-epsilon_m+R_5M_511-u_m-phiM_5

Component: M_6

ddtimeM_6=alphauR_5M_511-epsilon_m+R_6M_611-u_m-phiM_6

Component: M_7

ddtimeM_7=alphauR_6M_611-epsilon_m+R_7M_711-u_m-phiM_7

Component: M_8

ddtimeM_8=alphauR_7M_711-epsilon_m+R_8M_811-u_m+alphau11-epsilon_m-phiS_8

Component: R

R_0=r_0 R_1=r_11-a R_2=r_21-a R_3=r_31-a R_4=r_41-a R_5=r_51-a R_6=r_61-a R_7=r_71-a R_8=r_81-a

Component: phi

phi=1-u_s1R_0S_0+R_1S_1+R_2S_2+R_3S_3+R_4S_4+1-u_m1R_1M_1+R_2M_2+R_3M_3+R_4M_4

Component: w

ddtimew=1-alphau11-epsilon_sR_0S_0+R_1S_1+R_2S_2+R_3S_3+R_4S_4+R_5S_5+R_6S_6+R_7S_7+R_8S_8+1-epsilon_mR_0M_0+R_1M_1+R_2M_2+R_3M_3+R_4M_4+R_5M_5+R_6M_6+R_7M_7+R_8M_8-phiw

Component: total_cells

total_cells=S_0+S_1+S_2+S_3+S_4+S_5+S_6+S_7+S_8+M_0+M_2+M_3+M_4+M_5+M_6+M_7+M_8 stable_total=S_0+S_1+S_2+S_3+S_4+S_5+S_6+S_7+S_8 mutant_total=M_0+M_2+M_3+M_4+M_5+M_6+M_7+M_8

Component: kinetic_parameters

u_s=u1-betaepsilon_s1 u_m=u1-betaepsilon_m1