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Quantitative Modeling of Metabolic Networks. Sai Jagan Mohan, Ph.D. Sonali Das, Ph.D. Anupama Bhat. Problem definition and approach Modules The glutathione module The bioenergetics module Complementary modeling approaches Constraint based modeling Metabolic control analysis (MCA)
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Quantitative Modeling of Metabolic Networks Sai Jagan Mohan, Ph.D. Sonali Das, Ph.D. Anupama Bhat.
Problem definition and approach Modules The glutathione module The bioenergetics module Complementary modeling approaches Constraint based modeling Metabolic control analysis (MCA) Summary Overview
Genetic Drug / Dose Physiology / Disease Hepatotoxicity prediction is hard Metabolism Hepatotoxicity intricate and dynamic 'system-level' interactions.
Our Approach A comprehensive model of homeostasis metabolism in a liver cell Toxicity Drug-induced perturbations Hepatotoxicity: Mechanisms • Cell Death of Functional Liver Cells • Impaired Bile Flow • Faulty Fat Processing
The glutathione metabolism module The bioenergetics module Cytotoxicity Modules • Characteristics • Non-linear ODE’s • Two compartments • Fluxes: Enzyme Kinetics/Mass Action
Enzymes => Non-linearity • VGCS = • Vmax{[ATP][Glu][Cys]/KmATPKmGlu(1+[GSH]/KiGSH)KmCys} • {1+[Glu]/KmGlu(1+[GSH]/KiGSH) + [Glu] [Cys]/KmGlu(1+[GSH]/KiGlu)KmCys+[Glu][ATP]/KmATPKmGlu(1+[GSH]/KiGSH) + [Glu][Cys][ATP]/KmATPKmGlu(1+[GSH]/KiGSH) KmCys}
Vmax* [S] Venzyme= KM + [S] Perturbations Vmax[Enzyme]T
The Glutathione Module d [-GC] /dt = VGCS – VGS d [GSH] /dt = VGS + VGR – VGPx – Vgsh2ss –Vgsh2ca –VGST – VgshC2M –VgshM2C
Simulation 1 2 3 Validation Drug: Ethacrynic Acid (EA) Experimental 2 3 1
Asymptotic Analysis Simulation: Vgcs= 0 Validation Toxin: Buthionine Sulfoximine (BSO) Target: -GlutamylCysteine Synthetase (GCS) Depletes glutathione with a half –life of ~ 2 hours
Malate-Aspartate shuttle NADH NAD Energy Utilisation PFK ATP ADP+Pi ANT NADH NAD Glycolysis OXPHOS TCA cycle ADP+Pi ATP ADP+Pi ATP NADH NAD Mitochondria MAL MAL- mito Cytosol Metabolic Network for Cellular Energetics 21 state variables 17 differential equations 4 conservation laws
ADK 2ADP ATP + AMP Keq Conservation Laws Adenylate kinase (ADK) reaction is rapid (operates near equilibrium) ATP*AMP constant Keq = = ADP*ADP Total adenine pool in the cytosol = ATPe+ ADPe+AMPe= constant (Ataullakhanov & Vitvitsky Bioscience Reports. 2002 22:501-511)
MCA for insights into control and regulation Parameter estimation Experimental validation Scaling laws for metabolic networks Future Work
SS continuation analysis Parameter : VmaxGS Asymptotic Simulation VGCS = 0 Asymptotic Simulation VGS = 0 Homeostasis The Linear Approximation