# Receptor tyrosine kinase # Return kinetic parameters, constraints, and vector of volumes in each # compartment (pL) (1 if gating variable, or in element corresponding to # kappa) import numpy as np def kinetic_parameters(M, include_type2_reactions, dims, V): # Set the kinetic rate constants. # original model had reactions that omitted enzymes as substrates e.g. BARK # convert unit from 1/s to 1/uM.s by dividing by conc of enzyme # all reactions were irreversible, made reversible by letting kr ~= 0 num_cols = dims['num_cols'] num_rows = dims['num_rows'] bigNum = 1e6 fastKineticConstant = bigNum smallReverse = 1/bigNum medReverse = np.sqrt(smallReverse) # Reaction 1: Ligand binds receptor, which phosphorylates receptor (L + K1 <=> K1P ) k_1p = 100 # guess k_1m = smallReverse # Reaction 2: form complex of LK1 with K2, the other RTK in the dimer k_2p = fastKineticConstant k_2m = smallReverse # Reaction 3: autophosphorylation of second RTK and dissociation of RTK dimer complex k_3p = fastKineticConstant k_3m = smallReverse # Reaction 4: binding of ubiquitin to RTK-Ligand complex k_4p = fastKineticConstant/100 k_4m = smallReverse # Reaction 5: recycling of complex k_5p = fastKineticConstant/100 k_5m = smallReverse # Reaction 6: degradation of complex (by hydrolysis in lysosome) k_6p = fastKineticConstant k_6m = smallReverse # together k_kinetic = [ k_1p, k_2p, k_3p, k_4p, k_5p, k_6p, k_1m,k_2m, k_3m, k_4m, k_5m, k_6m ] # CONSTRAINTS N_cT = [] K_C = [] # volume vector W = list(np.append([1] * num_cols, [V['V_myo']] * num_rows)) return (k_kinetic, [N_cT], K_C, W)