Using synthetic proteins composed of WW domains [S1], maltose binding protein (MBP)

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Engineering a synthetic protein network that functions like a D-latch Using synthetic proteins composed of WW domains [S1], maltose binding protein (MBP) [S2], calmodulin [S3], adenylate cyclase [S4, S5], guanylate cyclase [S6], camp binding domain from protein kinase A (PKA) [S7-S9], and cgmp binding domain from protein kinase G (PKG) [S9, S10], a biomolecular reaction network was simulated that behaved similar to a digital memory element (i.e D-latch), showing that a network of proteins can remember state (Figure A). D-latches are simple digital memory units that synchronize the setting of a data bit (value that can be 0 or 1) to a clock signal (also can be 0 or 1). When the clock is 1, the D-latch maintains the previously set value; when the clock is 0, the D-latch output is changed to the input D. D-latches are often incorporated in digital systems to remember the state of a machine and the machine responds specifically to inputs depending on its state. Similarly, cells have the notion of a state as it responds differently to the same stimuli such as in stem cell differentiation. We showed that a network of proteins with particular interactions can create a D-latch and therefore a protein network can be used to encode states. Since a D-latch is made fundamentally by switches in a particular configuration, proteins engineered to perform switching can theoretically create similar memory units. A synthetic binding or catalytic protein can be engineered to have two regulatory sites, where each site serves as an input signal and the binding or catalytic activity of the protein serves as the output signal. Furthermore, this protein can be engineered such that as long as one site is occupied (representing a 1 input), the binding activity is inhibited (representing a 0 output). This switching behaviour is known as a NOR logic gate. From digital logic theory, we can create a D- latch using 4 NOR logic gates (Figure S1A). 1

Specifically, Ca 2+ and maltose were chosen as inputs to Data and Clock, respectively. The output of the two NOR gates, N data and N clock, were the binding activity of the WW 1 and WW 2 domain, respectively (Figure S1B). The synthetic protein N data can be engineered by fusing WW 1 domain with both CaM and MBP such that when either Ca 2+ or maltose was present, the activity of N data was inhibited (Figure S1B). Similarly, N clock was created using WBP 1 (a binding partner for WW 1 ) and MBP to receive input that inhibited the function of WW 2 (Figure S1B). Since N data had two inhibitory sites responding to input signals whereas N clock only had one, when both Ca 2+ and maltose signals were present, N data was inhibited much higher than N clock. To correct for the imbalance, a lower affinity MBP* was used on N data. The output of memory module N output1 and N output2 were the activities of adenylate cyclase (AC) and guanylate cyclase (GC) that produced camp and cgmp, which were constantly degraded by background phosophodiesterases. The synthetic protein N output1 and N output2 were also designed with cgmp and camp binding domains from PKG and PKA such that when bound to cgmp and camp, they inhibited the catalytic activity of N output1 and N output2, respectively (Figure B). Thus, in any steady equilibrium state, either N output2 or N output1 was active but not both. Furthermore, N output1 and N output2 were connected to the logic module by the activity of N data and N clock, respectively. When N data or N clock was active, its WW 1 or WW 2 domain bound and inhibited N output1 or N output2, respectively. This was described by the following biomolecular reactions (Figure S1B): 2

N data + N output1 inactive_n output1 N clock + N output2 inactive_n output2 camp + N output1 inactive_n output1 cgmp + N output2 inactive_ N output2 N output2 N output2 +camp N output1 N output1 +cgmp camp degraded cgmp degraded After fine tuning the kinetics parameters and stoichiometry, our protein network functions like a D-latch (Figure S1C). The concentration of the maltose and Ca 2+ were controlled, while the changes in concentration of N output1 and N output2 were tracked over time. When the maltose concentration (representing the Clock) was set to low, the adenylate cyclase activity followed the concentration of Ca 2+ (representing Data). When the maltose concentration was high, both the adenylate cyclase and guanylate cyclase activity maintained previous levels despite the changes in Ca 2+ concentration. The unevenness of the output was due to molecular fluctuations as there were only 500 molecules of N output1 and N output2 in the simulation. 3

Figure S1 - The synthetic protein D-latch. A, Schematic of a D-latch in electronics representation, the four NOR gates are names N data, N clock, N output1, and N output2. B, Protein circuit implementation of the D-latch. C, the concentration over time of electronic D-latch in comparison with protein D-latch. Grey lines indicated the response expected for digital circuit, black lines were the response from the simulated protein circuit. 4

References: S1. Sudol M, Recinos CC, Abraczinskas J, Humbert J, Farooq A: WW or WoW: the WW domains in a union of bliss. IUBMB Life 2005, 57(12):773-778. S2. Medintz IL, Deschamps JR: Maltose-binding protein: a versatile platform for prototyping biosensing. Curr Opin Biotechnol 2006, 17(1):17-27. S3. Chin D, Means AR: Calmodulin: a prototypical calcium sensor. Trends Cell Biol 2000, 10(8):322-328. S4. Dudai Y: Some properties of adenylate cyclase which might be important for memory formation. FEBS Lett 1985, 191(2):165-170. S5. Cho-Chung YS: Modulation of adenylate cyclase signalling. Semin Cancer Biol 1992, 3(6):361-367. S6. Poulos TL: Soluble guanylate cyclase. Curr Opin Struct Biol 2006, 16(6):736-743. S7. Taylor SS, Kim C, Vigil D, Haste NM, Yang J, Wu J, Anand GS: Dynamics of signaling by PKA. Biochim Biophys Acta 2005, 1754(1-2):25-37. S8. Taylor SS, Yang J, Wu J, Haste NM, Radzio-Andzelm E, Anand G: PKA: a portrait of protein kinase dynamics. Biochim Biophys Acta 2004, 1697(1-2):259-269. S9. Francis SH, Corbin JD: Cyclic nucleotide-dependent protein kinases: intracellular receptors for camp and cgmp action. Crit Rev Clin Lab Sci 1999, 36(4):275-328. S10. van den Akker F: Structural insights into the ligand binding domains of membrane bound guanylyl cyclases and natriuretic peptide receptors. J Mol Biol 2001, 311(5):923-937. Notes: The association rate constant of maltose to N data (MBP*) and N clock (MBP) were 10 6 and 5 10 6 M -1 s -1, respectively. The dissociation rate constant of maltose from both MBP* and MBP were 10-2 s -1. All protein-protein interaction had an association rate constant of 10 7 M -1 s -1 and a dissociation rate constant of 10-2 s -1. The association and dissociation rate constants of Q and P to N output2 and N output1 were 10 6 M -1 s -1 and 10-2 s -1. The catalytic rate of Q and P creation was 5 10-1 s -1, while the degradation rate of Q and P was 10-1 s -1. 5