Fig. 3 | Nature Communications

Fig. 3

From: On chaotic dynamics in transcription factors and the associated effects in differential gene regulation

Fig. 3

Effects of chaos on protein complex formation. a Schematic picture of how LAG and HAG encoded proteins may form protein complexes. b Protein concentration for HAG (K = 1, h = 2) with oscillatory and chaotic dynamics, respectively. TTNF = 50 min. c Protein concentration for LAG with (K = 4.5, h = 4) oscillatory and chaotic dynamics, respectively. TTNF = 50 min. d Time series of NF-κB (yellow) and the corresponding protein level. Red: Level of HAG protein. Blue: Level of LAG protein (multiplied by 20). TTNF = 50 min. e Concentration of a heterogenous two-protein complex (shown upper left) with oscillatory and chaotic dynamics respectively. f Concentration of a heterogenous three-protein complex in chaotic dynamics depending on the hierarchical assembly (shown above). g Relative concentration for complexes of different compositions. The y-axis show the concentration in chaos divided by the concentration in the oscillatory regime, and the black line show where these are equal. h Relative concentration per NF-κB for complexes of different compositions measured by the fraction \(\frac{{\left\langle {C_{N,n_{\mathrm {H}}}} \right\rangle }}{{\langle {\mathrm {NFkB}}\rangle }}\). Same axis as in g. i Relative concentration per unused subunits for complexes of different compositions measured by the fraction \(\frac{{\left\langle {C_{N,n_{\mathrm {H}}}} \right\rangle }}{{\mathop {\sum}\nolimits_{i = 1}^N \langle P_i\rangle }}\). Same axis as in g. For gi, the exact ratios are found in the tables in Supplementary Note 5

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