sen1

The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000495) Biomodels notes: Figure 4d (SerE = 0.0001microM) of the reference publication, which lists the distribution of reaction fluxes are reproduced here using Copasi v4.11 (build 64). JWS Online curation: This model was curated by reproducing the figures as described in the BioModels Notes. No additional changes were made.

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Abstract
BACKGROUND: Plasmodium is the causal parasite of malaria, infectious disease responsible for the death of up to one million people each year. Glycerophospholipid and consequently membrane biosynthesis are essential for the survival of the parasite and are targeted by a new class of antimalarial drugs developed in our lab. In order to understand the highly redundant phospholipid synthethic pathways and eventual mechanism of resistance to various drugs, an organism specific kinetic model of these metabolic pathways need to be developed in Plasmodium species.
RESULTS: Fluxomic data were used to build a quantitative kinetic model of glycerophospholipid pathways in Plasmodium knowlesi. In vitro incorporation dynamics of phospholipids unravels multiple synthetic pathways. A detailed metabolic network with values of the kinetic parameters (maximum rates and Michaelis constants) has been built. In order to obtain a global search in the parameter space, we have designed a hybrid, discrete and continuous, optimization method. Discrete parameters were used to sample the cone of admissible fluxes, whereas the continuous Michaelis and maximum rates constants were obtained by local minimization of an objective function.The model was used to predict the distribution of fluxes within the network of various metabolic precursors.The quantitative analysis was used to understand eventual links between different pathways. The major source of phosphatidylcholine (PC) is the CDP-choline Kennedy pathway.In silico knock-out experiments showed comparable importance of phosphoethanolamine-N-methyltransferase (PMT) and phosphatidylethanolamine-N-methyltransferase (PEMT) for PC synthesis.The flux values indicate that, major part of serine derived phosphatidylethanolamine (PE) is formed via serine decarboxylation, whereas major part of phosphatidylserine (PS) is formed by base-exchange reactions.Sensitivity analysis of CDP-choline pathway shows that the carrier-mediated choline entry into the parasite and the phosphocholine cytidylyltransferase reaction have the largest sensitivity coefficients in this pathway, but does not distinguish a reaction as an unique rate-limiting step.
CONCLUSION: We provide a fully parametrized kinetic model for the multiple phospholipid synthetic pathways in P. knowlesi. This model has been used to clarify the relative importance of the various reactions in these metabolic pathways. Future work extensions of this modelling strategy will serve to elucidate the regulatory mechanisms governing the development of Plasmodium during its blood stages, as well as the mechanisms of action of drugs on membrane biosynthetic pathways and eventual mechanisms of resistance.

Unit definitions have no effect on the numerical analysis of the model. It remains the responsibility of the modeler to ensure the internal numerical consistency of the model. If units are provided, however, the consistency of the model units will be checked.

Name Definition
0.001 metre^(3.0) dimensionless
16.6666666666667 metre^(-3.0) mole second^(-1.0) dimensionless
1000.0 metre^(-3.0) mole dimensionless
0.0166666666666667 second^(-1.0) dimensionless
1.0 mole
Id Name Spatial dimensions Size
mw81b30d38_6ef3_4391_b826_e6c3cc210196 unnamed 3.0 1.0
Id Name Initial quantity Compartment Fixed
mw08818dfe_fb12_45cc_8c1d_d965f142d0ce EtnE 0.0 mw81b30d38_6ef3_4391_b826_e6c3cc210196 (unnamed)
mw15abaa48_d7d0_4845_ae04_c573d289d495 Ser 0.0 mw81b30d38_6ef3_4391_b826_e6c3cc210196 (unnamed)
mw73259e20_240e_4f3a_b2e0_9ca248658898 SerE 0.0001 mole/<compartment size units> mw81b30d38_6ef3_4391_b826_e6c3cc210196 (unnamed)
mw812f63db_4cb0_40ad_b92b_9874be969dfe Cho 0.0 mw81b30d38_6ef3_4391_b826_e6c3cc210196 (unnamed)
mw849ed3fd_87d9_44d2_9f3e_4d631b900d41 PEtn 0.0 mw81b30d38_6ef3_4391_b826_e6c3cc210196 (unnamed)
mw8796c919_9251_4970_8f87_0bca9ecfeb5c Etn 0.0 mw81b30d38_6ef3_4391_b826_e6c3cc210196 (unnamed)
mw919f8a86_e702_4b24_9cd7_adad694fcf9b ChoE 5e-05 mole/<compartment size units> mw81b30d38_6ef3_4391_b826_e6c3cc210196 (unnamed)
mwcb834e43_dc57_45ae_9452_f4c10955caf1 PCho 0.0 mw81b30d38_6ef3_4391_b826_e6c3cc210196 (unnamed)
mwee54b5b4_b8c0_41df_8dda_5b160c5e10a5 PC 0.0 mw81b30d38_6ef3_4391_b826_e6c3cc210196 (unnamed)
mwf166ad55_4ff0_49fb_95d2_b657ad7653d5 PE 0.0 mw81b30d38_6ef3_4391_b826_e6c3cc210196 (unnamed)
mwfcfaf604_14d4_47a6_b021_226d1fb5497c PS 0.0 mw81b30d38_6ef3_4391_b826_e6c3cc210196 (unnamed)

Initial assignments are expressions that are evaluated at time=0. It is not recommended to create initial assignments for all model entities. Restrict the use of initial assignments to cases where a value is expressed in terms of values or sizes of other model entities. Note that it is not permitted to have both an initial assignment and an assignment rule for a single model entity.

Definition
Id Name Objective coefficient Reaction Equation and Kinetic Law Flux bounds
mw106407fc_e33f_45aa_b5ae_258bd4790633 R11 mwf166ad55_4ff0_49fb_95d2_b657ad7653d5 > mwfcfaf604_14d4_47a6_b021_226d1fb5497c

mw5ffad843_5f02_419d_ba99_6e1f9b7e6b7b * mwf166ad55_4ff0_49fb_95d2_b657ad7653d5 / (mw3046ca21_42a2_4a4b_89c4_9d6ca3d927c5 + mwf166ad55_4ff0_49fb_95d2_b657ad7653d5)
mw155447fb_ce5b_4ba2_bd74_434951481a78 R2 mw15abaa48_d7d0_4845_ae04_c573d289d495 > mwfcfaf604_14d4_47a6_b021_226d1fb5497c

mw7ce1b6a3_e65e_4aaa_9c32_aeefb420f0ea * mw15abaa48_d7d0_4845_ae04_c573d289d495 / (mw85485398_9f97_408c_bca6_90f0a8377eae + mw15abaa48_d7d0_4845_ae04_c573d289d495)
mw15bb92b6_4cff_4a41_b815_c1d904618e57 R10 mwee54b5b4_b8c0_41df_8dda_5b160c5e10a5 > mwfcfaf604_14d4_47a6_b021_226d1fb5497c

mwf7d1ff9f_1734_4232_9a96_037b31b193b0 * mwee54b5b4_b8c0_41df_8dda_5b160c5e10a5 / (mw7d57aa6b_1bfb_4472_b555_919263d9eaf9 + mwee54b5b4_b8c0_41df_8dda_5b160c5e10a5)
mw185e644d_6f10_499f_a3a6_5a47d7ba2eef R16 mw812f63db_4cb0_40ad_b92b_9874be969dfe > mwcb834e43_dc57_45ae_9452_f4c10955caf1

mwff26437c_166b_4946_ad35_f13df6145780 * mw812f63db_4cb0_40ad_b92b_9874be969dfe / (mw284c519a_cc2b_4a98_99ce_5a4471af99e1 + mw812f63db_4cb0_40ad_b92b_9874be969dfe)
mw307551ca_91cc_4634_bba5_0e3ecd38cfdd R9 mwf166ad55_4ff0_49fb_95d2_b657ad7653d5 > mwee54b5b4_b8c0_41df_8dda_5b160c5e10a5

mw1a53a2cb_a3a7_40d7_ae07_4d93ad1123a3 * mwf166ad55_4ff0_49fb_95d2_b657ad7653d5 / (mw4035a2c9_3cda_467c_83cc_8f9c2902abaf + mwf166ad55_4ff0_49fb_95d2_b657ad7653d5)
mw4c9aa283_577e_4b6c_ae5a_c96f62dbbb08 R3 mw15abaa48_d7d0_4845_ae04_c573d289d495 > mw8796c919_9251_4970_8f87_0bca9ecfeb5c

mw798d0b02_925e_471b_a372_526d681cc370 * mw15abaa48_d7d0_4845_ae04_c573d289d495 / (mwd3807289_133c_4621_8087_366621f553d3 + mw15abaa48_d7d0_4845_ae04_c573d289d495)
mw4f62d07e_217b_4602_b6fe_548af112eec8 R8 mwcb834e43_dc57_45ae_9452_f4c10955caf1 > mwee54b5b4_b8c0_41df_8dda_5b160c5e10a5

mw231a5907_d1ee_4a43_83ab_abb72f19502c * mwcb834e43_dc57_45ae_9452_f4c10955caf1 / (mwaf289d12_4291_4651_8bd1_82e321e476a4 + mwcb834e43_dc57_45ae_9452_f4c10955caf1)
mw5194cffd_f75a_4c61_b60e_23d5b0fea120 R17 mw08818dfe_fb12_45cc_8c1d_d965f142d0ce = mw8796c919_9251_4970_8f87_0bca9ecfeb5c

mw2cd81e51_eb11_4e2c_b609_b2f802438a6b * mw08818dfe_fb12_45cc_8c1d_d965f142d0ce - mwff99ad6c_8951_4d58_a836_cf2d3d08ac86 * mw8796c919_9251_4970_8f87_0bca9ecfeb5c
mw55fba323_0865_4254_a6e9_09acd2b4a10f R4 mw8796c919_9251_4970_8f87_0bca9ecfeb5c > mw849ed3fd_87d9_44d2_9f3e_4d631b900d41

mw2439178f_a48f_4425_82f9_13267b917b85 * mw8796c919_9251_4970_8f87_0bca9ecfeb5c / (mw5c4edb54_cfd9_43af_b70b_e9ff1b44dc55 + mw8796c919_9251_4970_8f87_0bca9ecfeb5c)
mw79830677_2d7e_4f49_9d0b_f05fe026749f R1 mw73259e20_240e_4f3a_b2e0_9ca248658898 > mw15abaa48_d7d0_4845_ae04_c573d289d495

mwee07eca4_0806_4cc3_a6ab_9226ee79be6c * mw73259e20_240e_4f3a_b2e0_9ca248658898 / (mw8f20c25d_9700_4822_b5f9_fe243e001091 + mw73259e20_240e_4f3a_b2e0_9ca248658898)
mwa25d1a3d_bbd9_41b8_8274_236f9d67bb60 R15 mw919f8a86_e702_4b24_9cd7_adad694fcf9b > mw812f63db_4cb0_40ad_b92b_9874be969dfe

mw91e15e1e_c73e_4866_ab2b_8225a32b7610 * mw919f8a86_e702_4b24_9cd7_adad694fcf9b / (mwf5cecb8f_89f8_4fba_b39b_b517d0bef2ce + mw919f8a86_e702_4b24_9cd7_adad694fcf9b)
mwb47b4c45_fac9_49e6_a6a4_87b9050ddfbb R7 mw849ed3fd_87d9_44d2_9f3e_4d631b900d41 > mwf166ad55_4ff0_49fb_95d2_b657ad7653d5

mwba0debe9_c575_4f5a_a980_e2b6857ff053 * mw849ed3fd_87d9_44d2_9f3e_4d631b900d41 / (mwffba86ff_a560_401a_93d6_c0e30bf42c87 + mw849ed3fd_87d9_44d2_9f3e_4d631b900d41)
mwb8420f59_69c3_4707_918c_2e06bedff243 R5 mw849ed3fd_87d9_44d2_9f3e_4d631b900d41 > mwcb834e43_dc57_45ae_9452_f4c10955caf1

mw961dacfa_f443_4814_ad6c_a27c04e74268 * mw849ed3fd_87d9_44d2_9f3e_4d631b900d41 / (mw15ba24b5_7a87_479e_9be7_261b12cbdb63 + mw849ed3fd_87d9_44d2_9f3e_4d631b900d41)
mwc9170c21_608b_4bd7_b2d0_f359d045da17 R6 mwfcfaf604_14d4_47a6_b021_226d1fb5497c > mwf166ad55_4ff0_49fb_95d2_b657ad7653d5

mw9f56ecc5_c22b_4f8c_8b82_90e2a6d9e364 * mwfcfaf604_14d4_47a6_b021_226d1fb5497c / (mw18bbabcb_d229_4d91_99f1_484f2ba8f020 + mwfcfaf604_14d4_47a6_b021_226d1fb5497c)
mwd71cb6c2_6420_46b9_ab17_eedc7b0fd8dc R13 mwfcfaf604_14d4_47a6_b021_226d1fb5497c > ∅

mw5b225cdc_783f_4a15_93db_e960a2398b8e * mwfcfaf604_14d4_47a6_b021_226d1fb5497c / (mw27f524cb_75b3_401c_8533_99d6f27af654 + mwfcfaf604_14d4_47a6_b021_226d1fb5497c)
mwdd7079dc_8d70_41b7_a369_3334522cdd13 R14 mwf166ad55_4ff0_49fb_95d2_b657ad7653d5 > ∅

mwc623d82f_a94e_4460_9aed_444597a728c2 * mwfcfaf604_14d4_47a6_b021_226d1fb5497c / (mwbf296afc_5e4f_4819_8028_06b20d7af7ca + mwfcfaf604_14d4_47a6_b021_226d1fb5497c)
mwfb854977_51ea_4daa_b84e_3bcb2fcccd39 R12 mwee54b5b4_b8c0_41df_8dda_5b160c5e10a5 > ∅

mw87bb1238_3292_467e_bfe3_ff7f1e64a351 * mwee54b5b4_b8c0_41df_8dda_5b160c5e10a5 / (mw371071cd_ec20_4517_acc1_08dfdc871e87 + mwee54b5b4_b8c0_41df_8dda_5b160c5e10a5)

Global parameters

Id Value
mw15ba24b5_7a87_479e_9be7_261b12cbdb63 0.000122223738254533
mw18bbabcb_d229_4d91_99f1_484f2ba8f020 0.000203868171233541
mw1a53a2cb_a3a7_40d7_ae07_4d93ad1123a3 0.00141678261342411
mw231a5907_d1ee_4a43_83ab_abb72f19502c 0.000000412788404046025
mw2439178f_a48f_4425_82f9_13267b917b85 0.00000862083015294042
mw27f524cb_75b3_401c_8533_99d6f27af654 0.000203777063277265
mw284c519a_cc2b_4a98_99ce_5a4471af99e1 0.0000304072645117622
mw2cd81e51_eb11_4e2c_b609_b2f802438a6b 0.0005
mw3046ca21_42a2_4a4b_89c4_9d6ca3d927c5 0.171122974053956
mw371071cd_ec20_4517_acc1_08dfdc871e87 0.0000241308392167819
mw4035a2c9_3cda_467c_83cc_8f9c2902abaf 0.321125432799976
mw5b225cdc_783f_4a15_93db_e960a2398b8e 0.00000153754224136353
mw5c4edb54_cfd9_43af_b70b_e9ff1b44dc55 0.000108608492867695
mw5ffad843_5f02_419d_ba99_6e1f9b7e6b7b 0.0000899054709659885
mw798d0b02_925e_471b_a372_526d681cc370 0.000002620389955953
mw7ce1b6a3_e65e_4aaa_9c32_aeefb420f0ea 0.00000130568052867489
mw7d57aa6b_1bfb_4472_b555_919263d9eaf9 0.00000376085190209901
mw85485398_9f97_408c_bca6_90f0a8377eae 0.000796722533770371
mw87bb1238_3292_467e_bfe3_ff7f1e64a351 0.0000015662833197895
mw8f20c25d_9700_4822_b5f9_fe243e001091 0.000362894258752347
mw91e15e1e_c73e_4866_ab2b_8225a32b7610 0.000000232432741134546
mw961dacfa_f443_4814_ad6c_a27c04e74268 0.0000010780611108133
mw9f56ecc5_c22b_4f8c_8b82_90e2a6d9e364 0.00000224518521682572
mwaf289d12_4291_4651_8bd1_82e321e476a4 0.0000310498877738431
mwba0debe9_c575_4f5a_a980_e2b6857ff053 0.00000561352652271706
mwbf296afc_5e4f_4819_8028_06b20d7af7ca 0.155164586398126
mwc623d82f_a94e_4460_9aed_444597a728c2 0.00077375270429582
mwd3807289_133c_4621_8087_366621f553d3 0.0000239591245105385
mwee07eca4_0806_4cc3_a6ab_9226ee79be6c 0.00000340936490738966
mwf5cecb8f_89f8_4fba_b39b_b517d0bef2ce 0.000102326862282225
mwf7d1ff9f_1734_4232_9a96_037b31b193b0 0.000000697333029651601
mwff26437c_166b_4946_ad35_f13df6145780 0.000000555658410000431
mwff99ad6c_8951_4d58_a836_cf2d3d08ac86 0.000132810241970949
mwffba86ff_a560_401a_93d6_c0e30bf42c87 0.000227368268903121

Local parameters

Id Value Reaction

Assignment rules

Definition

Rate rules

Definition

Algebraic rules

Definition
Trigger Assignments