Model Mathematics

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Component: environment

Component: v_c

\frac{d}{d time} (v_c) = dv_c_dt

Component: dv_c_dt

dv_c_dt = k_growth v_c

Component: v_n

\frac{d}{d time} (v_n) = 0

Component: k_volume

k_volume = \frac{v_n}{v_c}

Component: mcln2_c

\frac{d}{d time} (mcln2_c) = k_50 mcln2_n k_volume - (k_10 mcln2_c) - (\frac{dv_c_dt}{v_c} mcln2_c)

Component: mclb5_c

\frac{d}{d time} (mclb5_c) = k_51 mclb5_n k_volume - (k_11 mclb5_c) - (\frac{dv_c_dt}{v_c} mclb5_c)

Component: mcln2_n

\frac{d}{d time} (mcln2_n) = k_1 sbf_n - (k_50 mcln2_n)

Component: mclb5_n

\frac{d}{d time} (mclb5_n) = k_2 sbf_n - (k_51 mclb5_n)

Component: sbf_n

\frac{d}{d time} (sbf_n) = (k_39 sbfwhi5p_n - (k_34 sbf_n whi5_n)) + k_35 sbfwhi5_n

Component: cln3_c

\frac{d}{d time} (cln3_c) = k_6 - (k_43 cln3_c) - (k_15 cln3_c) - (\frac{dv_c_dt}{v_c} cln3_c)

Component: cln2_c

\frac{d}{d time} (cln2_c) = (k_3 mcln2_c - (k_26 cdk1_c cln2_c)) + k_27 cdk1cln2_c - (k_12 cln2_c) - (\frac{dv_c_dt}{v_c} cln2_c)

Component: clb5_c

\frac{d}{d time} (clb5_c) = (k_4 mclb5_c - (k_28 clb5_c cdk1_c)) + k_29 cdk1clb5_c - (k_13 clb5_c) - (\frac{dv_c_dt}{v_c} clb5_c)

Component: cdk1_c

\frac{d}{d time} (cdk1_c) = ((k_7 - (k_44 cdk1_c)) + k_49 cdk1_n + k_27 cdk1cln2_c - (k_26 cdk1_c cln2_c) - (k_28 cdk1_c clb5_c)) + k_29 cdk1clb5_c - (k_16 cdk1_c) - (\frac{dv_c_dt}{v_c} cdk1_c)

Component: cln3_n

\frac{d}{d time} (cln3_n) = (\frac{k_43 cln3_c}{k_volume} - (k_24 cln3_n cdk1_n)) + k_25 cdk1cln3_n - (k_20 cln3_n)

Component: cdk1_n

\frac{d}{d time} (cdk1_n) = (\frac{k_44 cdk1_c}{k_volume} - (k_49 cdk1_n) - (k_24 cln3_n cdk1_n)) + k_25 cdk1cln3_n - (k_21 cdk1_n)

Component: cdk1cln2_c

\frac{d}{d time} (cdk1cln2_c) = (k_26 cdk1_c cln2_c - (k_27 cdk1cln2_c) - (k_46 cdk1cln2_c)) + k_53 cdk1cln2_n k_volume - (\frac{dv_c_dt}{v_c} cdk1cln2_c)

Component: cdk1clb5_c

\frac{d}{d time} (cdk1clb5_c) = (k_28 cdk1_c clb5_c - (k_29 cdk1clb5_c)) + k_33 cdk1clb5sic1_c - (k_32 sic1_c cdk1clb5_c) - (k_48 cdk1clb5_c) - (\frac{dv_c_dt}{v_c} cdk1clb5_c)

Component: cdk1cln2_n

\frac{d}{d time} (cdk1cln2_n) = \frac{k_46 cdk1cln2_c}{k_volume} - (k_53 cdk1cln2_n)

Component: cdk1clb5_n

\frac{d}{d time} (cdk1clb5_n) = k_41 cdk1clb5sic1p_n + \frac{k_48 cdk1clb5_c}{k_volume}

Component: cdk1cln3_n

\frac{d}{d time} (cdk1cln3_n) = ((k_24 cln3_n cdk1_n - (k_25 cdk1cln3_n)) + k_31 cdk1cln3far1_n - (k_30 far1_n cdk1cln3_n)) + k_40 cdk1cln3far1p_n

Component: sbfwhi5_n

\frac{d}{d time} (sbfwhi5_n) = k_34 sbf_n whi5_n - (k_35 sbfwhi5_n) - (k_36 sbfwhi5_n cdk1cln3_n)

Component: sbfwhi5p_n

\frac{d}{d time} (sbfwhi5p_n) = k_36 sbfwhi5_n cdk1cln3_n - (k_39 sbfwhi5p_n)

Component: cdk1cln3far1_n

\frac{d}{d time} (cdk1cln3far1_n) = k_30 far1_n cdk1cln3_n - (k_31 cdk1cln3far1_n) - (k_37 cdk1cln3far1_n cdk1cln2_n)

Component: cdk1clb5sic1_n

\frac{d}{d time} (cdk1clb5sic1_n) = \frac{k_47 cdk1clb5sic1_c}{k_volume} - (k_38 cdk1clb5sic1_n cdk1cln2_n)

Component: cdk1clb5sic1p_n

\frac{d}{d time} (cdk1clb5sic1p_n) = k_38 cdk1clb5sic1_n cdk1cln2_n - (k_41 cdk1clb5sic1p_n)

Component: cdk1cln3far1p_n

\frac{d}{d time} (cdk1cln3far1p_n) = k_37 cdk1cln3far1_n cdk1cln2_n - (k_40 cdk1cln3far1p_n)

Component: cdk1clb5sic1_c

\frac{d}{d time} (cdk1clb5sic1_c) = k_32 sic1_c cdk1clb5_c - (k_33 cdk1clb5sic1_c) - (k_47 cdk1clb5sic1_c) - (\frac{dv_c_dt}{v_c} cdk1clb5sic1_c)

Component: sic1_c

\frac{d}{d time} (sic1_c) = (k_9 - (k_32 sic1_c cdk1clb5_c)) + k_33 cdk1clb5sic1_c - (k_18 sic1_c) - (\frac{dv_c_dt}{v_c} sic1_c)

Component: whi5_c

\frac{d}{d time} (whi5_c) = k_8 - (k_45 whi5_c) - (k_17 whi5_c) - (\frac{dv_c_dt}{v_c} whi5_c)

Component: far1_c

\frac{d}{d time} (far1_c) = k_5 - (k_42 far1_c) - (k_14 far1_c) - (\frac{dv_c_dt}{v_c} far1_c)

Component: whi5p_c

\frac{d}{d time} (whi5p_c) = k_52 whi5p_n k_volume

Component: sic1P_n

\frac{d}{d time} (sic1P_n) = k_41 cdk1clb5sic1p_n

Component: far1P_n

\frac{d}{d time} (far1P_n) = k_40 cdk1cln3far1p_n

Component: whi5_n

\frac{d}{d time} (whi5_n) = \frac{k_45 whi5_c}{k_volume} - (k_34 whi5_n sbf_n) - (k_22 whi5_n)

Component: far1_n

\frac{d}{d time} (far1_n) = (\frac{k_42 far1_c}{k_volume} - (k_30 far1_n cdk1cln3_n)) + k_31 cdk1cln3far1_n - (k_19 far1_n)

Component: whi5p_n

\frac{d}{d time} (whi5p_n) = k_39 sbfwhi5p_n - (k_52 whi5p_n) - (k_23 whi5p_n)

Model Mathematics

Component: environment

Component: v_c

Component: dv_c_dt

Component: v_n

Component: k_volume

Component: mcln2_c

Component: mclb5_c

Component: mcln2_n

Component: mclb5_n

Component: sbf_n

Component: cln3_c

Component: cln2_c

Component: clb5_c

Component: cdk1_c

Component: cln3_n

Component: cdk1_n

Component: cdk1cln2_c

Component: cdk1clb5_c

Component: cdk1cln2_n

Component: cdk1clb5_n

Component: cdk1cln3_n

Component: sbfwhi5_n

Component: sbfwhi5p_n

Component: cdk1cln3far1_n

Component: cdk1clb5sic1_n

Component: cdk1clb5sic1p_n

Component: cdk1cln3far1p_n

Component: cdk1clb5sic1_c

Component: sic1_c

Component: whi5_c

Component: far1_c

Component: whi5p_c

Component: sic1P_n

Component: far1P_n

Component: whi5_n

Component: far1_n

Component: whi5p_n

Component: rate_constants