Many transcription factors (TFs) display diverse activation dynamics in response to various external stimuli (1
). To investigate how TFs process upstream signals, we studied the S. cerevisiae
general stress responsive TF Msn2 (5
). In the absence of stress, Msn2 is phosphorylated by Protein Kinase A (PKA) and localized to the cytoplasm; in response to stress, Msn2 is dephosphorylated and translocates to the nucleus where it induces gene expression (5
Natural stresses elicit highly variable dynamics of Msn2 nuclear translocation () (6
), which are thought to result from oscillatory signaling inputs (presumably PKA activity) (8
). To study how Msn2 processes oscillatory PKA inputs, we used an engineered yeast strain (6
) carrying mutations in all three PKA isoforms that enable selective inhibition of PKA activity by a cell-permeable inhibitor, 1-NM-PP1 (9
). We used this synthetic system and a microfluidics platform (10
) mounted on a microscope to produce oscillatory inputs of PKA inhibition and monitored translocation of Msn2 to the nucleus. The input amplitude was chosen on the basis of the steady state amount of Msn2 nuclear localization in response to sustained inputs: high amplitude input (3 μM 1-NM-PP1) led to maximal nuclear localization of Msn2; whereas low amplitude input (0.2 μM 1-NM-PP1) induced an intermediate amount of nuclear localization (, black circles). The pulse duration of oscillatory input was selected on the basis of duration of pulsatile Msn2 nuclear bursts in the physiological response to glucose limitation (6
). With high amplitude oscillatory input, each input pulse induced a high amount of nuclear localization (, left). In contrast, oscillatory input with low amplitude barely elicited any localization responses, although sustained input with the same amplitude led to a half-maximal amount of nuclear localization (, right). Therefore, Msn2 filters temporal fluctuations of the input in an amplitude-dependent manner such that it tracks high amplitude inputs, but responds in a limited manner to low amplitude signals.
Tunable signal processing behaviors of Msn2
To understand how Msn2 translates signaling inputs into different translocation responses, we characterized Msn2 phosphorylation, which controls nuclear translocation (5
). We detected phosphorylation of eight PKA consensus sites, primarily located within the nuclear export signal (NES) and nuclear localization signal (NLS) domains (11
) (Fig. S1
). Two sites in the NES (S288, S304) and four sites in the NLS (S582, S620, S625, S633) were functionally important for regulation of nuclear transport (Fig. S2
To intuitively understand the behaviors of the translocation system, we conducted a steady-state analysis that incorporated the separation of timescales for nuclear transport and phosphorylation. For simplicity, we represented regulation of nuclear export and import by phosphorylation of one site in the NES and a second site in the NLS, acting independently of each other (). We assumed that the slowest timescales occur for nuclear import when the NLS is phosphorylated (kin
) and for nuclear export when the NES is unphosphorylated (kout
). In contrast, when the NLS is unphosphorylated or when the NES is phosphorylated, nuclear import and export, respectively, both were assumed to occur on faster timescales (kin′
). This scheme gives four phosphoforms with distinct combinations of transport rates (). Finally, we assumed that phosphorylation and dephosphorylation are fast relative to the translocation timescales (13
), so that we could treat transitions between the four phosphoforms, which are triggered by input of PKA inhibition, as effectively instantaneous. PKA and Msn2 phosphatases localize to both the cytoplasm and the nucleus in yeast (15
), so Msn2 can be phosphorylated and dephosphorylated in both compartments.
A theoretical analysis of transcription factor translocation
For purposes of illustration, we used a weak and a strong input to represent the amplitude of PKA inhibition (). Because sites in the NLS are more preferred for PKA phosphorylation than those in the NES (11
) (Fig. S3
), we assumed that weak input (partial inhibition of PKA) would lead to dephosphorylation of only the NES, and the NLS phosphorylated form (U_Pc
) would then go to the nucleus with a slow import rate (kin
). In contrast, strong input would lead to dephosphorylation of both the NES and NLS and the fully unphosphorylated form (U_Un
) would be transported into the nucleus with a fast rate (kin′
). Upon input removal, the NES and NLS are re-phosphorylated and the doubly-phosphorylated form (P_Pn
) is expected to be exported with a fast export rate (kout′
) (, 1st row). In accordance with this analysis, strong input (3 μM 1-NM-PP1) led to rapid Msn2 translocation whereas weak input (0.2 μM 1-NM-PP1) resulted in slower translocation, and export is rapid when PKA inhibition is removed ().
Distinct signal processing by WT, NLS and NES phosphosite mutants of Msn2
We then analyzed how Msn2 might respond to oscillatory inputs. In response to a strong oscillatory input, Msn2 would go in and out of the nucleus with import and export rates (kin′, kout′) that are fast relative to the input pulse duration and inter-pulse interval. Hence, Msn2 responded fully to each pulse and tracked the input dynamics (model: , 1st row, left; data: ). In response to a weak oscillatory input, Msn2 would enter the nucleus with a slow import rate (kin) relative to the timescale of the input pulse, and therefore only a small amount of Msn2 entered the nucleus, effectively filtering out low amplitude signals (model: , 1st row, middle; data: ). In response to an input fluctuating between high and low amplitudes, because Msn2 would go out of the nucleus with a slow export rate (kout) relative to the timescale of the inter-pulse intervals, Msn2 was not fully exported during the interval and integrated the input fluctuations (model: , 1st row, right; data: ).
To further test the model and explore the influence of regulation of both import and export on signal processing, we studied cases in which only nuclear import or export, but not both, was regulated by phosphorylation because the functional phosphosites within the NES or NLS were mutated (, ).
In the case in which the NLS sites could not be phosphorylated (NLS 4A), Msn2 would enter the nucleus with a constitutively fast import rate (kin′) and go out of the nucleus with a fast export rate (kout′) upon input removal (, 2nd row; data: ). Hence, in response to oscillatory inputs with high amplitude, low amplitude, or fluctuating between high and low amplitude, Msn2 would have fast import and export rates and fully entered the nucleus during a pulse and exited the nucleus during inter-pulse intervals (model: , 2nd row; data: ).
If NLS sites were mutated to mimic constitutive phosphorylation (NLS 4E), Msn2 would enter the nucleus with a constitutively slow import rate (kin) (Fig. 2D, 3rd row; data: ). In response to oscillatory inputs, when the input duration is short relative to the timescale of the slow import rate, Msn2 went into the nucleus slowly and reached low concentrations (model: , 3rd row; data: ).
If NES sites cannot be phosphorylated (NES 2A), Msn2 would exit the nucleus with a constitutively slow export rate (kout) (, 4th row; data: ). In response to oscillatory inputs with high amplitude, low amplitude or fluctuating between high and low amplitude, when the interval is short relative to the time scale of the slow export rate, Msn2 would have a slow export rate, could not fully exit the nucleus during intervals, and therefore integrated responses to rapidly changing inputs (model: , 4th row; data: ). In summary, NLS 4A, NLS 4E, or NES 2A “tracks”, “filters” or “integrates” the oscillatory inputs, respectively, whereas WT Msn2 exhibits a combination of all these processing behaviors.
To study the processing of natural stress signals, we monitored WT and mutant Msn2 translocation in response to different stresses ( and S5
). We also monitored the dynamics of WT Msn2-mCherry and mutant Msn2-YFP expressed together in the same cells – this allowed us to directly compare the responses of WT and mutant Msn2 to the same stochastic input signals triggered by natural stress ( and S6
). Glucose limitation induced sporadic pulses of rapid nuclear localization of WT Msn2 with frequency regulated by stress intensity; osmotic stress elicited a single pulse of nuclear accumulation; and oxidative stress led to sustained nuclear localization (, and S5
, WT). NLS 4A, which tracks the inputs, was more responsive to inputs and exhibited a high frequency of small rapid bursts of nuclear translocation (, 1st
row), and thus produced similar response frequency to low and high levels of glucose limitation (, 2nd
row, panels marked with blue asterisks; Fig. S5D
, left, blue circles). By contrast, NLS 4E filtered out the sporadic translocation bursts in response to glucose limitation (, 2nd
row) and therefore exhibits similar dynamics to both glucose limitation and osmotic stress (, 3rd
row, panels marked with green asterisks). NES 2A integrated the sporadic bursts in response to strong glucose limitation (, 3rd
row) and exhibited prolonged nuclear accumulation, similar to that of oxidative stress responses (, 4th
row, panels marked with red asterisks). Consistent with the analysis of artificial inputs, WT Msn2 and the mutants differed in how they processed signaling inputs triggered by natural stresses and therefore generate different responses. WT Msn2 with dual regulation of nuclear import and export generates distinct translocation responses to different stress conditions, whereas the mutants that have only one mode of nuclear transport regulation fail to fully differentiate the different stresses into distinct translocation outputs. Cells may use these diverse TF translocation patterns to induce distinct gene expression programs (6
), or to elicit different levels of noise in single cell responses, both of which might be beneficial for survival under stress conditions.
Distinct responses of WT, NLS, and NES phosphosite mutants of Msn2 to natural stresses
Nucleocytoplasmic translocation of many mammalian TFs, such as NFATs, STATs, and Smads (19
), is controlled by regulation of both their nuclear localization and nuclear export signals. Hence, the proposed dual regulation mechanism may represent a general mechanism for shaping the dynamic behaviors of these TFs. Complex signal processing behaviors can be achieved by signaling circuits comprised of multiple molecules (22
). We reveal a single TF molecule can also mediate sophisticated signal processing functions by assembling independent functional modules. These functions are “tunable” by phosphorylation at multiple sites in each module and “programmable” by mutating or reassembling functional modules.