Introduction

Heart rate increases with heat1,2,3, constituting a fundamental physiological relationship in vertebrates. HCN channels (HCN1-4) govern cell membrane excitability in neurons, smooth muscle, and heart. All HCN family members are activated by hyperpolarization and equipped with a cyclic nucleotide-binding domain4. HCN4, the predominant HCN channel expressed in cardiac sinoatrial nodal (SAN) pacemaker cells, initiates each normal heartbeat by a cell membrane depolarizing inward current (If)5 that triggers an action potential. The SAN cell If is augmented in response to extracellular catecholamines by an adrenergic receptor-mediated increase in cyclic adenosine monophosphate (cAMP), an intracellular second messenger that binds to HCN4 cyclic nucleotide binding domain. cAMP binding increases If to accelerate SAN action potentials and heart rate, as part of a physiological ‘fight or flight’ response. If increases with heat with a temperature coefficient (Q10) of ~ 26,7 but the mechanisms for coupling thermal energy to HCN4 are unknown and the role of HCN4 in heart rate responses to heat is unexplored.

Heart rates are increased by heat in humans and in mice, with a Q10 ~ 22,8, constituting a conserved stress response operated by an unknown mechanism9. Understanding the interrelationship between heat, cell membrane excitability and heart rate is an important goal for the life sciences10, in part, because of rising temperatures worldwide11,12. A recent meta-analysis reported that a temperature increase of just 1 °C is associated with a 2.1% increase in the risk of death related to cardiovascular disease10. Given the central role of HCN4 in heart rate acceleration and the known temperature dependency of If in SAN6 and Purkinje fibers7, we asked if HCN4 contributed to heart rate responses to heat.

Here, we show that HCN4 responds to temperature with a Q10 of ~2, resembling the native If current. We identify a heat-resistant mutant (M407Q/Y409F) of the HCN4 channel whose current lacks augmentation by heat and is unresponsive to cAMP. In contrast, a mutant HCN4 channel lacking a functional cAMP binding domain13 but retaining the M407/Y409 motif maintains responsiveness to heat. Using mouse SAN cell models and CRISPR/Cas9-generated mice harboring the M407Q/Y409F mutation, we demonstrate that the M407/Y409 motif is critical for heat sensing and physiological coupling of HCN4 to heart rate increases in response to heat. We further show that the M407/Y409 motif is required for heat sensing in HCN1, 2, and 4. Our findings reveal primacy of heat sensing in enabling cAMP-dependent activation of HCN channels and suggest that HCN channels participate broadly in thermal contributions to cell membrane excitability.

Results

Heat-induced rate increases in cardiac pacemaker cells require HCN4 and If

Because the basis for heat induced heart rate increases is unknown, we first asked if spontaneous action potential rates in current clamped isolated SAN cells (Fig. 1a) are thermally responsive. The action potential rates recorded from single SAN cells increased with increased temperatures in the range of 30–44 C° (Supplementary Fig. 1a). Because the Arrhenius plots from those data all show a linear dependency on temperature (Supplementary Fig. 1b), we quantified SAN responses to heat using an established temperature coefficient, Q10 (Q10 = (R2/R1)10C/(T2-T1)) where R is the rate of spontaneous action potentials measured at a given temperature, T. Q10 reported in our studies is calculated by paired R2, R1 and T2, T1 from the same experimental sample, be it an isolated cell, heart or mouse (see Methods). In vertebrates the Q10 for heart rate in vivo is ~2.014, equivalent to doubling of heart rate over a 10 °C temperature range. We found that spontaneous action potential rates increase with rising temperature in SAN cells isolated from mice (Fig. 1b). They have a Q10 of 1.97 ± 0.07 (n = 20, Fig. 1), similar to heart rate responses to heat in vivo, in humans and other vertebrates8,14,15,16.

Fig. 1: HCN4 antagonists or Hcn4 knock out prevent action potential rate increases by heat in SAN cells.
figure 1

a Isolated SAN cell in whole cell mode current clamp configuration, scale bar = 50 µm. b Representative SAN cell action potential (AP) tracings recorded under lower (left) and increased temperature (right) from the same SAN cell. c Representative SAN cell AP tracings recorded in the presence of HCN4 antagonist agents Ivabradine (4 μM) or (d) ZD7288 (4 μM) under lower (left) and increased temperature (right). The AP was recorded at different temperatures but from the same SAN cell in each case. e upper panel, Example of adenovirus-infected SAN cells from floxed mice expressing mCherry and Cre (red, right) (scale bar = 50 µm). lower panel, Representative AP tracings recorded under lower basal (left) and increased temperature (right) conditions from the same cultured single SAN cells isolated from Hcn4flox/flox mice cultured in the presence of adenovirus expressing Cre recombinase (see Methods). be the horizontal lines mark 0 mV. Scale bars are 200 ms horizontal and 20 mV vertical. f Summary data for Q10 from SAN cell AP rate responses to temperature increases. The presence of isoproterenol (ISO, 1 μM), Ivabradine (Iva, 4 μM), or ZD7288 (ZD, 4 μM) in the bath solution is indicated. Data are presented as mean values +/- SEM. One-way ANOVA, ***p < 0.001, ****p < 0.0001, p (baseline vs. ISO) 0.8, p-values for comparisons of right 5 groups are from 0.52- > 1. (n = 20 Baseline, n = 17 ISO, n = 5 Iva, n = 9 ZD, n = 7 ZD-ISO, n = 8 Iva-ISO, n = 6 HCN4-/-).

Two If antagonist drugs (ivabradine17 and ZD728818) prevented SAN thermal rate responses (Q10 = 1.27 ± 0.08 (n = 5) for ivabradine and 1.18 ± 0.04 (n = 9) for ZD7822, p < 0.001 as compared to control condition, Fig. 1c, d), without affecting rate increases from isoproterenol (Supplementary Fig. 2a), a β-adrenergic receptor agonist that accelerates heart rate by HCN4 and cAMP dependent and independent pathways19. We cultured SAN cells isolated from mice where Hcn4 was flanked by LoxP insertions (Hcn4L2/L2)20. These SAN cells were infected with adenovirus expressing Cre recombinase and a red fluorescent protein marker (mCherry, see Methods, Fig. 1e) for 24 h to generate Hcn4 knock out (Hcn4-/-) SAN cells. These Hcn4-/- SAN cells, identified by the presence of mCherry, lacked HCN4 current, If (Supplementary Fig. 2b), indicating successful excision of Hcn4 by Cre recombinase. Consistent with our findings using If antagonist drugs, cultured Hcn4-/- SAN cells lacked thermal responses (Q10 = 1.23 ± 0.06 (n = 6), Fig. 1e).

In addition to If, Calcium/Calmodulin-dependent kinase II (CaMKII) activation19 contributes to SAN cell rate increases during adrenergic stress and is potentially sensitive to temperature. SAN cells with CaMKII inhibition due to transgenic expression of an inhibitory peptide, AC3-I, have diminished rate responses to isoproterenol19. However, we found that AC3-I expressing SAN cells showed similar rate increases in response to temperature compared to SAN cells isolated from WT littermates (Supplementary Fig. 2c). Taken together (Fig. 1f), these findings supported a concept that SAN cell action potential rates were increased by thermal energy, similar to in vivo heart rate responses, and suggested that If was responsible for all or most of SAN cell heat sensitivity.

If has a Q10 that is independent of cAMP signaling

Given our findings showing HCN4 and If were essential for heat mediated SAN cell action potential frequency increases, we next performed voltage clamp experiments on isolated SAN cells and found If was enhanced by increasing temperatures between 28 °C–45 °C (Fig. 2a and Supplementary Fig. 3). The Q10 calculated for the steady state current at cell membrane test potentials from -60 mV – -130 mV was around 2 and showed a slight but statistically significant voltage dependency (e.g., 2.15 ± 0.11 at -60 mV, 1.94 ± 0.30 at -130 mV, n = 11, p = 0.026).

Fig. 2: HCN4 current (If) has a Q10 of ~2.0 that is independent of cAMP signaling.
figure 2

Representative If (HCN4 current) tracings recorded under lower and increased temperatures (left panels) from (a), the same isolated SAN cell or (b) in the same human embryonic kidney cell (HEK) transfected with HCN4 (see Methods). Current-voltage relationship from the same cell (right panels, filled circles lower temperature and open circles higher temperature). The right-most panels expanded to highlight the physiological cell membrane potential range for SAN cells (-40 – -80 mV). The horizontal scale bar is 500 ms and the vertical scale bar is 5 pA/pF in both (a) and (b). c Activation curves from absolute (left) or normalized tail current values (right) from HEK 293 cells expressing HCN4, before and after temperature increase (empty circle: lower temperature, filled circle: higher temperature). Data are presented as mean values +/- SEM. Solid lines show Boltzmann fitting to the data (Eq.1, see Methods) yielding the following values of V1/2: -107 ± 1 mV (LT) and -97 ± 2 mV (HT) in left panel and -107 ± 0.7 (LT) and -96 ± 1.2 (HT) in right panel. The Gmax values: 35.9 (LT) and 57.3 (HT), and A values (offset): 2.11 (LT) and 6.42 (HT) in left panel. Student’s t-test or Mann-Whitney Rank Sum Test applied when appropriate, (two-tailed) *p < 0.05, **p < 0.01, ***p < 0.001. n = 15 for both LT or HT groups. d Time constant of activation at -130 mV from HCN4 channel current (n = 17, empty circle) at lower temperature and higher temperature (n = 5, filled circle). Data are presented as mean values +/- SEM. ****p < 0.0001 by Student’s t-test (two-tailed). e Summary data for Q10 from HCN4 channel currents at −60 mV from HEK cells expressing HCN4 in the presence (n = 12) or absence of cAMP (n = 34). Data are presented as mean values +/- SEM. f Summary Q10 data for If at −60 mV from isolated SAN cells treated with ISO (1 µM, n = 13), and/or Ivabradine (Iva, 4 μM, n = 6, Iva+ISO, n = 6) or ZD7288 (ZD, 4 μM, n = 5, ZD + ISO n = 4), n = 10 Baseline, n = 26, HEK. Data are presented as mean values +/- SEM. One-way ANOVA *p < 0.05, **p < 0.01, ***p < 0.001.

In order to determine if the If heat response was related to SAN cell specific elements, we transfected (human) HCN4 cDNA into human embryonic kidney 293 (HEK) cells. The HCN4 channel current recorded from HEK cells increased with heat in the similar manner as in SAN cells (Fig. 2b).

To uncover the mechanism underlying the heat induced increase in current we plotted the tail currents of cells at low and elevated temperatures (Fig. 2c, left panel). Fitting data to a Boltzmann function shows that heat augments the HCN4 current by affecting two components: it increases the amplitude of the steady state current by a factor of ~1.6 which can be attributed either to an increase in the unitary conductance or an increase in the number of channels in the plasma membrane. Temperature also seems to affect the open probability causing a positive shift of the activation curve by ~10 mV. To quantify this effect more precisely the same data were normalized to values between zero (channel fully closed) and one (maximal open probability) and refitted to the Boltzmann function (Fig. 2c, right panel). This yielded a mean temperature induced shift of the V1/2 value of 11.3 ± 1.6 mV (n = 20/21) (Fig. 2c, right panel and Supplementary Table 2). This positive effect of temperature on voltage-dependent activation of If and the HCN4 channel is anticipated by the activation kinetics of the currents that appears faster at higher temperature (e.g., Fig. 2a, b). To quantify this effect, we fitted the rise in HCN4 inward current in response to a voltage step from -40 mV to -130 mV with a single exponential, at low and high temperatures. The data in Fig. 2d show that heat is indeed accelerating the time constant of channel activation.

The dual effect of temperature on HCN4 current predicts that the impact of heat is stronger at voltages at which the open probability is not yet saturated e.g., voltages below -130 mV. The analysis of Q10 values at -130 mV and -60 mV confirms this prediction. At -130 mV we estimate in the present example (Fig. 2b) a Q10 value of 1.45 (mean 1.79 ± 0.11, n = 28). The same analysis at -60 mV provides a Q10 value of 1.92 (mean 2.29 ± 0.13, n = 28, p = 0.006 compared to the Q10 value at -130 mV). Similar to the measurements of If currents in SAN cells, the Q10 value is indeed higher at -60 mV than at extreme negative voltages because at -60 mV heat likely has a dual impact, augmenting gating and conductance.

Our findings underline that the HCN channel is more sensitive to temperature at moderate physiological membrane potentials than at high non-physiological negative voltages. In order to relate the impact of temperatures on channel function to the observed influence on action potential frequency we chose to focus the further analysis on Q10 values at -60 mV, a physiologically relevant cell membrane potential for SAN cells. The Q10 for HCN4 current recorded from HEK cells was similar in the presence or absence of cAMP dialysis (Fig. 2e) while ivabradine and ZD7288 prevented the If response to heat in SAN cells with or without ISO (Fig. 2f). Similar to SAN action potential rates, heat increased HCN4 current, apparently by a mechanism that is independent of cAMP.

HCN4 temperature responses rely on a concise intracellular linker motif

Based on our findings that HCN4 conducts a heat-responsive current, we next sought to identify the mechanism modulating the channel thermal responses. The heat dependence of channel activation is a function of the curvature of free energy \((\Delta \Delta G(T))\)21\(.\) Such curvature depends on the variation of the specific heat (Cp) at constant pressure \(\Delta \Delta {C}_{p}(T)\) (see Supplementary material and Eq. 1–6). \(\Delta {C}_{p}(T)\) in proteins is mostly a function of the area exposed to the solvent21 and its variation during channel activation is related to the change in the solvent-accessible surface area (SASA). For instance, an unfolding event is usually characterized by an increase in Cp due to solvation of hydrophobic residues.

To identify candidate amino acids making significant contributions to the HCN4 temperature response, we used a common-sense approach: focusing our search on residues of protein regions exhibiting significative changes in SASA measured between the two states represented by the structures of the cAMP-free and cAMP-bound (activated) states of the HCN4 channel.

We performed a comparison of the human HCN4 structures extending it to rabbit ortholog HCN4. This analysis helped us to pinpoint by thermodynamic analysis specific residues that modulate HCN4 thermal responses. The HCN4 protein forms a pore as an aggregation of four subunits. Each of the subunits consists of six membrane spanning domains (transmembrane S1-S6) connected by intra- and extracellular linkers. There is a prominent intracellular C terminus that contains the cyclic nucleotide binding domain (CNBD) (Fig. 3a) connected to the S6 via a C-linker that forms the “disk domain” (Fig. 3a). Binding of cAMP to the CNBD induces conformational changes that are transmitted to the transmembrane region via the C-linker and facilitate pore opening. Even though HCN4 channels require hyperpolarizing voltages to move the voltage sensor and to open the pore, the conformational changes induced by cAMP binding in the cytosolic domain are present in the cryoEM structures of the channel solved in the absence of voltage (0 mV). We define this state as “activated” in our analysis below, indicating that the cytosolic machinery is in its signal transmitting configuration. The overlap of the human HCN4 structures, the cAMP free (PDB:6GYN) and cAMP-bound (activated) (6GYO) (Fig. 3b) shows that, relative to the other domains, the transmembrane portion of the channel displays significantly less changes than the cytosolic domains. For example, in the human channel the root-mean-square deviation (rmsd), which quantifies the average distance between backbone atoms of the superimposed channel structures, differences between transmembrane domains (a.a. 208–530) of cAMP-free channel shows a rmsd of 1.05 Å2 for backbone atoms, while the disk (a.a. 521–573) has an rmsd of 3.55 Å2 and the cyclic nucleotide binding domain (a.a. 574–718) exhibits an rmsd of 3.94 Å2. When the same analysis was repeated by comparing the holo structures of human (6GYO) and rabbit (7NP4) HCN4 structures, minor differences emerged in the S4-5 linker that could affect heat sensing. However, we found that HCN4 channel current heat responses were similar between human (Fig. 2b and e) and rabbit HCN4 expressed in HEK cells (Supplementary Fig. 4a, and Supplemental Notes). Based on this, we focused on human HCN4 for structural and functional studies.

Fig. 3: Two amino acids on the 4–5 intracellular linker are essential for heat sensing in HCN4.
figure 3

a Schematic of HCN4 subunit, highlighting the pore, voltage-sensing, intracellular linker, disc, and cyclic nucleotide binding (CNBD) domains. b Ribbon diagram showing superimposed HCN4 in apo/closed (6GYN, purple) and holo/activated (cAMP bound, 6GYO, orange) conformations. c Total solvent accessible surface area (SASA) exposed or buried in the residues of the S4-5 intracellular linker (top), transmembrane domain (TM), disk, and CNBD in response to channel opening. Apolar (green), polar (blue), and amphipathic (orange) residues are shown. d Left, representative HCN4 currents at lower (LT: 24–30 °C) and higher temperatures (HT: 34–43 °C) from cultured HEK 293 cells expressing heat-insensitive HCN4 (M407Q/Y409F). Scale bars: 500 ms (horizontal), 5 pA/pF (vertical). Middle, summary Q10 data for wild type (n = 31) and M407Q/Y409F (n = 13) HCN4. Data are mean values +/- SEM. Unpaired Student’s t-test(two-tailed), ****p < 0.0001. Right, mean activation curves (from absolute tail current values) from HEK 293 cells expressing M407Q/Y409F HCN4 channels, before (LT) and after temperature increase (HT). Data are mean values +/- SEM. Solid lines show Boltzmann fitting (Eq. 1, see Methods). V1/2 of LT or HT curves: -107 ± 0.7 mV or -113 ± 1.5 mV. The Gmax values of LT or HT curves: 41.5 or 45.9. n = 13 for LT or HT groups. e Sequence alignment of the 4-5 intracellular linker of human and mouse HCN1-4. f Mean activation curves from normalized tail currents of WT (left, n = 20 LT, n = 21 HT) and mutant 407/409 (center, n = 27 LT, n = 13 HT) HCN4 in HEK 293 cells, at low (LT) and high temperature (HT) (WT data are the same as in Fig. 2c). Data are presented as mean values +/- SEM. Solid lines show Boltzmann fitting (values in Supplementary Table 2). Right panel, data at LT for WT and HCN4M407Q/Y409F mutant are replotted for comparison. g Summary data (mean values +/- SEM) for midpoint voltage of activation (V1/2). One-way ANOVA with Tukey’s multiple comparisons test, ****p < 0.0001, p-value for NS is 0.49. n = 20, HCN4-WT-LT, n = 21, HCN4-WT-HT, n = 27, HCN4−407/409-LT, n = 13, HCN4-407/409-HT. See Supplementary Table 2 for values. Created in BioRender. Aguilar, E. (2025) https://BioRender.com/o33f198.

Figure 3c shows the average change in SASA ( < ΔSASA > ) of the whole human HCN4 channel during channel activation by cAMP. The average value is 1.3 Å2 with a standard deviation (σ(SASA)) of 16.0 Å2. We analyzed residues showing absolute values of ΔSASA >3 times σ(SASA) (>48 Å2) between apo and holo (activated) states of the human channel (Supplementary Table 1). The residues with the most significant increases in the apolar area exposed during its activation are Met 407 (104 Å2), Phe 540 (54.9 Å2), and Phe 613 (44.4 Å2), and the most significant decreases, due to polar area sequestration, are Tyr 409 (-141.6 Å2), Arg 668 (-57.8 Å2), and Glu 695 (-77.8 Å2). The hydration of polar and apolar areas of these residues have opposing contributions to the energetics and, as a consequence, to the temperature dependence of processes in which conformational changes are involved.

Met 407 and Tyr 409 are part of the S4-S5 intracellular linker that exhibits a large conformational change after activation (Fig. 3b, c, and Supplementary Movie 1). We excluded residues in disordered regions (e.g., at the C-terminus of the cyclic nucleotide binding domain) from the analysis, focusing on those observed in the structures. To avoid making mutations affecting the activation mechanism, we did not consider residues coordinating intracellular Mg2+ (His 406, Asp 410, Glu 556 and His 552, Supplementary Fig. 4b)22, nor those participating in cAMP binding, such as Ile 661 or Arg 587, and ignored amino acids forming salt bridges stabilizing one particular state of the channel, such as Arg 668 and Glu 695. The above considerations led to a final list of five candidates with the potential to modify the temperature dependence of If: Met 407, Tyr 409, Phe 540, Lys 562, and Phe 613 (see Supplementary Notes). Based on our structural analysis and modeling, and the predicted energy contributions due to its solvation or lack thereof between the closed and cAMP-active HCN4, we designed a set of mutations M407Q, Y409F, F540Y, K562M, and F613Y chosen to minimize residue size variations to limit the structural changes in the mutated protein (see Supplementary Notes). These mutations are predicted to reduce the activation energy barrier or produce positive contributions to the overall \(\Delta \Delta {C}_{p}^{{mut}-{wt}}\), thereby reducing its temperature dependence (lowering Q10mut/Q10WT, equation 5, (see Supplementary Notes). Consistent with our predictions, HCN4 channel current recorded from the 5x mutant HCN4 channel was not responsive to temperature between 27–38 °C (Supplementary Fig. 4c, d).

We next performed a series of studies to evaluate the thermal responsiveness of HCN4 mutants in isolation and various combinations (Supplementary Fig. 4e). These studies revealed M407/Y409 as necessary for conferring thermal responsiveness to HCN4 current (Fig. 3d). This mutant is insensitive to heat and shows no increase in the maximal current nor a shift of the activation curve in response to heat; as a consequence, the Q10 value at -60 mV is close to 1 (Fig. 3d).

Intriguingly, a region of the S4-5 intracellular linker domain, containing the M407/Y409 residues, was recently identified as important for establishing the melting point for HCN4 protein22. This region includes H406 and D410 that are involved in complexing Mg2+ together with residues from the C linker domain. These contacts are not present in HCN1(5U6P), and are important in transmitting the cAMP effect in HCN422. Because of the potential role of the S4-5 linker in modulating If through Mg2+ binding, we dialyzed HEK cells expressing HCN4 with EDTA (10 mM) to chelate Mg2+, but failed to detect a change in the temperature response (Supplementary Fig. 4f), supporting our modeling predictions that the role of the S4-5 linker in thermal sensing was independent of its role in Mg2+ binding. Importantly, M407/Y409 homologous residues, present in the S4-5 intracellular linker domain, are conserved between mice and humans and are present in all HCN family members (Fig. 3e). Currents recorded from HEK cells expressing HCN1 (Q10 = 2.25 ± 0.22, n = 15) and HCN2 (Q10 = 2.01 ± 0.14, n = 15) showed similar thermal responses compared to HCN4 (Supplementary Fig. 5a). Consistent with previous studies23,24, we were unable to efficiently express HCN3 in HEK cell. Mutation of M407/Y409 homologs in human HCN1 (M287/Y289, Q10 = 1.10 ± 0.04, n = 18) and HCN2 (M356/Y358, Q10 = 1.02 ± 0.05, n = 14) eliminated the thermal responses (Supplementary Fig. 5a), demonstrating the general nature of this thermal sensing motif in HCN family channels. We found that temperature increases shifted the half maximal activation voltage (V1/2, mV) in a depolarized direction for WT HCN4 expressed in HEK 293 cells (Fig. 2c and Supplementary Table 2) and this action was prevented in the temperature insensitive HCN4 M407Q/Y409F mutant (Fig. 3f and Supplementary Table 2). Notably, the M407Q/Y409F mutant showed the same V1/2 of the WT at low temperatures (Fig. 3f, g and Supplementary Table 2), indicating that the mutations do not affect the voltage-gating mechanism of the channel. We found that homologous rabbit HCN4 mutants (M408Q/Y410F) were similarly unresponsive to heat compared to WT (Supplementary Fig. 5b, Supplementary Fig. 4a and Fig. 3d). Taken together, these computational and electrophysiological findings showed that M407/Y409, a component of the intracellular S4-S5 HCN4 linker, is sufficient to account for If increases in response to heat.

Defective heat-heart rate coupling in M407Q/Y409F Hcn4 knockin mice

We asked if M407/Y409 contributed to heart rate responses to heat. We used CRISPR/Cas9 gene editing to engineer mice with Hcn4 harboring the M407Q/Y409F mutations (Supplementary Fig. 6). No homozygous knockin mice were born from Hcn4+/QF x Hcn4+/QF crosses (10 Hcn4+/+, 18 Hcn4+/QF, and 0 Hcn4QF/QF pups), suggesting that HCN4 containing WT M407/Y409 is required for development. However, heterozygous Hcn4 mutant mice (Hcn4+/QF) were viable and born in ~1:1 proportion to WT littermates from Hcn4+/QF x Hcn4+/+ crosses (113 Hcn4+/+ and 116 Hcn4+/QF pups). The If in SAN cells isolated from Hcn4+/QF mice showed reduced responses to heat compared to If recorded from WT littermate control SAN cells (Fig. 4a). Similar to If, action potential rates recorded from Hcn4+/QF SAN cells (see Methods) had reduced Q10 (Fig. 4b). Analysis of action potential parameters (Supplementary Fig. 7 a-h) affected by heat show action potential rate increases by heat were accompanied by more rapid ‘phase 4’ depolarization, measured as an increased diastolic depolarization rate (DDR) in WT SAN cells. The heat induced increased in DDR was abolished by the M407/Y409 mutation in Hcn4+/QF SAN cells (Supplementary Fig. 7c). Additionally, maximal diastolic potential (MDP) was decreased by heat in WT but not in Hcn4+/QF SAN cells (Supplementary Fig. 7d). These data showed key action potential parameters associated with heart rate acceleration were responsive to heat and that these heat responses were prevented by the M407/Y409 mutation. We next recorded electrocardiograms from isolated, coronary artery perfused hearts from WT and Hcn4+/QF mice in order to measure heart rate (Fig. 4c). The Hcn4+/QF heart rates had lower Q10 than hearts from WT littermate controls (Hcn4+/+) (Fig. 4c and Supplementary Fig. 7i, j). Finally, we implanted telemeters for recording heart rate and body temperature in heterozygous Hcn4 mutant Hcn4+/QF mice for in vivo studies. We selected ‘low’ and ‘high’ temperatures from spontaneous variations recorded over 48 h in unrestrained mice (see Methods). The Hcn4+/QF in vivo heart rates are lower than in vivo heart rates from WT littermate controls (Hcn4+/+) at normal “high” temperature (Fig. 4d). We interpreted the in vivo data to confirm the importance of HCN4 in heart rate responses to temperature. Taken together, studies in Hcn4+/QF mice supported a role for HCN4 coupling heat to heart rate in SAN cells, ex vivo and in vivo hearts.

Fig. 4: Mice with Hcn4M407Q/Y409F mutant channels exhibit reduced rate responses to heat.
figure 4

a If currents under LT (left) and HT (middle) from SAN cells of Hcn4+/QF mice. Bar graph: Q10 at −60 mV from Hcn4+/QF (n = 7) and WT SAN cells (n = 10). Data are mean +/- SEM, unpaired Student’s t-test (two-tailed), ****p < 0.0001. Scale bar: 5 pA/pF (vertical) and 500 ms (horizontal) (same for e and f). b AP under LT (left) and HT (middle) from Hcn4+/QF SAN cells. Bar graph: Q10 on AP rates from Hcn4+/QF (n = 4) and WT SAN cells (n = 20), mean +/- SEM, unpaired Student’s t-test (two-tailed), ****p < 0.0001. Horizontal lines mark 0 mV. Scale bars: 200 ms (horizontal) and 20 mV (vertical) (same for e and f). c ECG under LT (left) and HT (middle) from isolated hearts of WT (upper) or Hcn4+/QF (lower) mice. Bar graph: Q10 on ECG rates (beats/min, BPM) for Hcn4+/QF mice (n = 11) and WT mice (n = 8). Data are mean +/- SEM, unpaired Student’s t-test (two-tailed), ***p = 0.0002. d ECG under lower or increased body temperatures from unrestrained WT (upper) or Hcn4+/QF (lower) mice. Bar graph: in vivo heart rates (upper, n = 5 Hcn4+/QF, n = 8 WT) and body temperature (lower, n = 5 Hcn4+/QF, n = 8 WT) used to define HT and LT. Data are mean +/- SEM. *p = 0.048, by one-way ANOVA with Tukey’s test. e Representative If (left) and AP (middle) under LT or HT from cultured Hcn4flox/flox SAN cells infected with Ad-mCherry-Cre and Ad-HCN4-WT. Right panels: If current density-voltage relationship calculated from the same cell. The right-most panel expanded to highlight the physiological cell membrane potential range for SAN cells. f Similar to (e), If and AP recordings and If current density-voltage relationship from cultured Hcn4flox/flox SAN cells infected with Ad-mCherry-Cre and Ad-HCN4QF/QF. g Q10 data for If at −60 mV from Hcn4flox/flox SAN cells expressing HCN4 WT (n = 11), or HCN4QF/QF (n = 5). Data are mean +/- SEM; unpaired Student’s t-test (two-tailed) ***p = 0.0003. h Q10 data for AP rates from cultured Hcn4flox/flox SAN cells expressing HCN4 WT (n = 8), or HCN4QF/QF (n = 7). Data are mean +/- SEM; unpaired Student’s t-test (two-tailed), ***p = 0.0006.

To examine thermal rate responses in SAN cells that exclusively expressed the QF mutant HCN4 channels, we turned to Hcn4L2/L2 SAN cells20 infected with Cre expressing adenovirus to develop an exchange system capable of rescuing If in an Hcn4-/- background using cDNAs encoding WT human HCN4 or HCN4QF (see Methods). We performed voltage and current clamp studies using cultured isolated Hcn4-/- SAN cells expressing WT HCN4 or HCN4QF. The SAN cells rescued with WT HCN4 regained If and action potential rate responsiveness to heat (Fig. 4e), similar to WT SAN cells (Figs. 1b and 2a). In contrast, the SAN cells rescued with thermally insensitive HCN4QF mutant channels failed to increase If or action potential rate (Fig. 4f) in response to heat. The Q10 values for If (Fig. 4g) and SAN action potential rate (Fig. 4h) after rescue with WT HCN4 were ~2.0. Taken together, these data from CRISPR/Cas9 gene edited mice and SAN cells with Hcn4 excision and rescue with WT HCN4 or HCN4QF channels showed that M407/Y409 were required for heat responses for SAN action potentials and If and that an ion channel with a modest Q10 (i.e. ~2) can operate a fundamental biological response to heat.

HCN4 thermal sensing is independent of the cyclic nucleotide binding domain

HCN4 belongs to a family of ion channel proteins that are endowed with and named for a cyclic nucleotide binding domain25. Heart rate accelerates as part of the ‘fight or flight’ physiological response due to increased intracellular cAMP that activates HCN4 through the cyclic nucleotide binding domain, causing increased If and accelerated action potential initiation26. Indeed, SAN If increased upon exposure to isoproterenol, a β adrenergic receptor agonist19,27, as did the current recorded from HEK cells expressing HCN4 and dialyzed with cAMP (Fig. 5a, left panels). Dialysis of cAMP into HEK cells shifted the half maximal activation of the HCN4 current to more depolarized cell membrane potentials (Fig. 5a, right panels), an effect similar to that of heat-induced activation of HCN4 (Fig. 3g). Furthermore, cAMP and heat both hastened the activation kinetics (Figs. 2 and 5), suggesting that these signals may operate on HCN4 to increase the current through a shared mechanism. Based on this observation, we next generated a validated loss of function mutation (EA mutant, containing R669E and T670A) in the HCN4 cyclic nucleotide-binding domain13. The EA mutant HCN4 channels failed to increase HCN4 current (Fig. 5b, left panels) or affect the half maximal activation voltage (Fig. 5b, right panels) upon cAMP exposure. However, EA mutant channels were responsive to increases in temperature, showing elevated steady-state current and faster activation. Q10 was not different from wildtype channels (Fig. 5c). We considered the possibility that temperature increases augmented HCN4 current by increasing cAMP. However, we did not detect an increase in cAMP in SAN cells or HEK 293 cells after heat exposure (Supplementary Fig. 8). We next asked if cAMP responses required the M407/Y409 motif; HCN4 current recorded from M407Q/Y409F mutants was unresponsive to cAMP (Fig. 5d, Supplementary Table 2). Collectively, we interpret these findings to show that HCN4 ion channels require M407/Y409 to respond to heat and cAMP.

Fig. 5: Heat sensing is required for cAMP-dependent activation of HCN4.
figure 5

a Representative If currents recorded from HCN4 transfected HEK 293 cells with or without intracellular dialysis of cAMP (1 mM) (left panel). Red traces indicated current amplitude at -90 mV for comparison. Boltzmann distribution for HCN4 transfected HEK 293 cells (middle panel) and summary data for midpoint voltage of activation (right panel, V1/2). Data are presented as mean values +/- SEM. Unpaired Student’s t-test (two-tailed), ****p < 0.0001, n = 20, HCN4-WT, n = 14 HCN4-WT+cAMP. b Representative If currents recorded from mutant HCN4 (EA) transfected HEK 293 cells with or without intracellular dialysis of cAMP (1 mM) (left panel). Red traces indicated current amplitude at -100 mV for comparison. Data are analyzed and displayed in (b) middle and right panels as in (a) panel (above). Data are presented as mean values +/- SEM. n = 22 HCN4-EA, n = 11 +cAMP. c Representative If currents recorded under lower (left) and increased (middle) temperature conditions from cultured HEK 293 cells expressing HCN4 EA mutants. Summary Q10 data for If currents at −60 mV from HEK 293 cells (right panel). Data are presented as mean values +/- SEM, n = 31 HCN4-WT, n = 22 HCN4-EA. Example tracings and summary data are calculated using data from the same cell. d Representative If currents in the presence or absence of intracellular dialysis with cAMP (1 mM) (left panels) in HCN4407/409 mutant expressing HEK 293 cells. Red traces indicated current amplitude at -90 mV for comparison. Right two panels, HCN4407/409 current activation curves without (empty symbols) and with cAMP (1 mM) (filled symbols) dialysis. Summary data for midpoint voltage of activation (V1/2) with(n = 13) or without cAMP(n = 27) (right). Data are presented as mean values +/- SEM. Solid lines show Boltzmann fitting to the data (middle, see Methods). Values are reported in Supplementary Table 2. ad Scale bars are 500 ms horizontal and 5 pA/pF vertical.

Discussion

The activity of all ion channels and of proteins in general is affected by change in temperature, because it affects their internal motion28. However, only very few channels have a temperature coefficient (Q10) >2 and are thus considered temperature dependent, such as members of the TRP and K2P families of channels29. In the case of HCN4, we have quantified here a Q10 of 2, that is borderline with the definition of thermosensor. However, this is not surprising given the crucial role of this channel in controlling heart rate. Indeed, stability of heart rate is essential and even a tiny change in open probability of the channel can alter it. A clear example of this is the extremely low single channel conductance of HCN (1 pS30,31), clearly related to the need of fine tuning their response to extra and intracellular stimuli for the sake of stability.

The HCN family of ion channels are defined by a characteristic voltage activated inward current and a cyclic nucleotide response element. Our most complete understanding of the impact of the cAMP response amongst HCN family channels involves the role of HCN4 in heart rate acceleration, a cornerstone of the fight or flight stress response. Up until now, cAMP responses were thought to be the sole mechanism for augmenting HCN channel currents for physiological purposes, including the canonical case of If underpinning heart rate acceleration. Our findings add a core concept in cardiac physiology by showing in mice that HCN4 is also responsible for heat triggered increases in heart rate, a feature of all vertebrates32. The finding that HCN4 heat sensing relies on two key amino acids of one intracellular linker domain is in line with a recent evidence that Shaker-IR potassium channel also depends upon a homologous intracellular linker domain for thermal responses33. This raises the question whether the (4-5) linker contributes to a general mechanism for heat sensing in ion channels. Although our study has focused on the role of HCN4 in accelerating heart rate, we found that the other HCN family members (HCN1 and HCN2) share the critical M407/Y409 residues, albeit with differences in numbering. We found that HCN1 and 2, in addition to HCN4, use the same, concise heat sensing mechanism for augmenting ionic currents. HCN1 and 2 are widely expressed in brain34, including in regions known to participate in thermal sensing and response. Thus, our work supports future studies to determine if HCN channels contribute more broadly to the systems biology of heat.

The major isoform underlying If in sinoatrial cells is undoubtedly HCN4. Based on various knockout models, HCN4 is responsible for about 75 % of the current in SAN cells35,36,37. The rest of If is mainly provided by HCN1 and, to a lesser extent, HCN2 channels38,39. These findings are also consistent with studies on the expression level of the three isoforms in the sinoatrial node40. Thus, our data suggest that the effect of heat on the HCN1 and HCN2 isoforms is not strong enough to increase If in a manner relevant to increasing heart rate. Another possibility is that M407/Y409-mutated HCN4 channels form heteromers with HCN1 or HCN2, thereby impairing the heat sensitivity of these isoforms.

Our studies present evidence that heat sensing is a dominant, but previously unanticipated, mechanism central to the regulation of HCN channels. Loss of M407/Y409 residues, in M407Q/Y409F mutants, prevented heat and cAMP responses. In contrast, a well described loss of function mutation in the cyclic nucleotide binding domain (EA)13 disabled cAMP responses without affecting heat triggered If enhancement or action potential acceleration. Thus, cAMP responses are dispensable to heat responses while the M407/Y409 heat response motif is required for both heat sensing and cAMP responses. Further, our experiments show that increases in cAMP are not required for heat-induced increases in If. Notable, also, is our finding that SAN cells are resistant to heat-induced rate increases after exposure to If antagonists, yet sustain a normal rate increase to isoproterenol (i.e., an agonist operating the cAMP pathway) in the presence of these antagonists (Supplementary Fig. 2a). We interpret these findings to suggest that if heat-induced increases in cAMP transpire in native cells that they are likely modest and considerably lower than cAMP increases induced by β-adrenergic receptor agonist activation. Taken together, these findings strongly suggest that heat actions on HCN4 are independent of the cAMP pathway.

The lethality of the homozygous M407/Y409 mutation may be due to its lack of response to cAMP. In agreement with this concept, homozygous mice with a point mutation in the CNBD (HCN4 R669Q), which abolishes cAMP binding, also die during embryonic development35. Based on these findings we suspect that cAMP-dependent activation of HCN4 is required for proper development.

In homeothermic organisms core body temperature increases with exercise41,42 and fever43, both conditions of augmented adrenergic tone. Thus, our findings reveal a mechanistic parsimony showing that HCN4, a channel that contributes to a highly conserved fight or flight heart rate increase, is configured to respond to heat and cAMP. Our findings suggest that heat sensing is core to canonical HCN responses to heat and cyclic nucleotide activation and that the two signals converge to a common molecular mechanism, i.e the unfolding of the S4-S5 linker helix. It will be interesting to learn if HCN channels distributed in brain regions important for systemic thermal control contribute to physiological or disease processes related to increased core body temperature.

Methods

Ethical statement

All experiments involved using animals were carried out in accordance with the guidelines and policies of Institutional Animal Care and Use Committee of Johns Hopkins University, with approval numbers MO17M290 and MO20M274.

A general note about experiment temperatures

Our experimental design rigorously adheres to the principle of internal consistency, ensuring that temperature comparisons are made within the same experimental sample—be it a cell, heart, or mouse. This approach underpins our data presentation, where the distinction between low and high temperature conditions is derived from within-sample changes rather than cross-sample comparisons.

In detailing our experimental conditions across various settings—ranging from HEK cell cultures, isolated or cultured sinoatrial node cells, to isolated hearts and live mice experiments—it’s important to emphasize the context-specific nature of our temperature definitions. For HEK 293 cells, the low temperature (LT) was set at the lower 20 °C range, aligning with common practices in HCN channel current studies to facilitate comparison with existing literature. For sinoatrial node cells, the LT was adjusted to the lower 30 °C to ensure the preservation of spontaneous cellular activity, a principle also applied to isolated heart experiments. The in vivo LT and HT were selected from spontaneous variation in the core body temperatures over a 48 h interval in free living mice housed at 22 ± 1 °C (45% to 50% humidity, with lights set to a 12 h light/dark cycle) and implanted with ECG and temperature monitors. Additionally, certain cellular studies explored HT conditions, around 40 °C, to mimic fever scenarios in animals or humans, thereby encompassing a broad physiological relevance.

SAN cell isolation, culture and infection

Method of isolation of SAN cells from mice was modified and performed according to previously published methods27. Mice were anesthetized with avertin (20 μl/g, i.p.) and heparinized (8000 U/kg, i.p.), and monitored until unresponsive. The heart was excised and placed into ice-cold Tyrode’s solution, consisting of (mM): 140.0 NaCl, 5.0 HEPES, 5.5 Glucose, 5.4 KCl, 1.8 CaCl2, and 1.0 MgCl2. The pH was adjusted to 7.4 with NaOH. After aortic cannula, the heart was perfused by Ca2+-free Tyrode’s solution first, then followed by digestion solution contain collagenase type II (Worthington) and protease type XIV (Sigma). The SAN region, delimited by the crista terminalis, atrial septum and orifice of superior vena cava, was dissected free from the heart and was cut into smaller pieces. SAN tissue pieces were digested in 5 ml of solution containing collagenase type I, elastase (Worthington), and protease type XIV (Sigma) for 20-30 min. The tissue was transferred to 10 ml of Kraft-Bruhe medium containing (mM): 100.0 potassium glutamate, 5.0 HEPES, 20.0 Glucose, 25.0 KCl, 10.0 potassium aspartate, 2.0 MgSO4, 10.0 KH2PO4, 20.0 taurine, 5.0 creatine, 0.5 EGTA, and 1.0 mg/ml BSA, with pH adjusted to 7.2 using KOH. The tissue was agitated using a glass pipette for 10 min. The cells were either kept at room temperature and studied within 7 h, or used for culture studies.

Freshly isolated SAN cells were put into 35 mm tissue culture plates with Media 199 containing Blebbistatin 10 mM (ApexBio B1387-10), 5% FBS, Primocin(Invivogen) and ITS. Fresh medium containing Ad-mCherry-Cre (Vector Biolabs 1773), Ad-HCN4-wt or Ad-HCN4-407/409 was added to the plates at a multiplicity of infection of 100.

HEK 293 cell culture and transfection

HEK 293FT cells were cultured in DEME (ThermoFisher Scientific, catalog #11995) containing 10% FBS, NEAA (ThermoFisher Scientific, catalog #11140050) and GlutaMax (ThermoFisher Scientific, catalog #35050079). For transfection, cells were seeded between 250,000 to 300,000 cells per 35 mm dish the day before transfection and were then co-transfected with 0.8 μg of an HCN plasmid and 0.5 μg of an eGFP plasmid to aid in identifying transfected cells. We used jetPRIME reagent (Polyplus) for transfection.

cAMP level measurement

SAN cells isolated from 2 mice by the method described above were combined to increase cell number for cAMP assay. All the groups (room temperature controls and high temperature testing groups) were treated with IBMX 100 µM for 10 min at room temperature (23 ± 1 °C) before subjecting no further treatment (control), ISO 1 µM 10 min at room temperature as a positive control or incubate in warmer bath at 38 ± 1 °C for 10 min.

HEK 293 cells were suspended in Tyrode’s solution containing 500 µM IBMX and 0.1% BSA. Subsequently, cells were treated for 30 min in this buffer with DMSO at room temperature (control), 25 µM forskolin at room temperature (positive control), or DMSO at 38 ± 1 °C.

The cAMP level was measured by using LANCE Ultra cAMP Detection Kit ((TRF0262) Revvity, MA, USA). The final data were normalized by cell numbers in each group.

Cellular electrophysiology and temperature control

SAN cells or HEK 293FT cells transfected with human HCN4 WT or mutant plasmids were placed in temperature-controlled chamber of around 1 ml volume of Tyrode’s solution at room temperature (around 23 ± 1 °C) or warmer temperatures as indicated. Temperature control was performed by TC-344B Dual Channel Automatic Temperature Controller (Warner Instruments, Holliston, MA 01746, USA) used with both a heated chamber and solution in-line heater to rapidly change or maintain a desired temperature. SAN cells with the characteristic morphology (spindle or spider shape) and spontaneous activity were studied. Adenovirus infected SAN cells were identified by mCherry expression. SAN cells were also identified electrophysiologically by typical spontaneous action potentials with slow depolarizing phase 4 and the If currents in electrophysiological experiments. HEK 293FT cells with HCN4 plasmids transfection were identified by GFP expression.

Spontaneous action potentials and If currents were recorded using the perforated (amphotericin B or β-escin) patch-clamp technique on single SAN cell at various temperatures as indicated in Tyrode’s solution. Temperature was recorded using Digidata 1440 A (Molecular Devise, San Jose, CA 95134, USA) and pClamp 11 (Molecular Devise). The patch pipette was filled with (mM): 130.0 potassium aspartate, 10.0 NaCl, 10.0 HEPES, 0.04 CaCl2, amphotericin B 240 μg/ml with pH adjusted to 7.2 with KOH. β-escin 50 µM was substituted for amphotericin B to allow dialysis of cAMP or PKI. For recording HCN channels currents in HEK 293FT cells, bath solution composed with (mM): 110.0 NaCl, 0.5 MgCl2, 1.8 CaCl2, 30.0 KCl, 5.0 HEPES, pH adjusted to 7.4 with NaOH; intracellular solution contains (mM): 130.0 KCl, 10.0 NaCl, 0.5 MgCl2, 1.0 EGTA, 5.0 HEPES, pH adjusted to 7.4 with KOH. Data were acquired at 100 kHz using Axopatch 200B (Molecular Devise). When recording If currents or HCN4 channels currents, membrane potential was held at -40 mV, the voltage steps were applied for 5 s ranging from −130 mV – −20 mV in 10 mV increments or vice versa.

HCN channel current and tail current analysis

The impact of temperature on If or HCN current activation was obtained from tail current analysis. The latter were obtained from a two-step voltage clamp protocol: SAN cells or HEK293 cells were first stepped for 5 s to conditioning voltages between -40 and -130 mV before clamping to a common voltage at -130 mV, where tail currents were collected and expressed as current density (pA/pF).

Activation curves were obtained by plotting tail currents as absolute values or after normalization between zero (channels closed) and one (channels maximally open) as a function of conditioning voltages. Data were fitted with the Boltzmann equation:

$${{\rm{G}}}={{\rm{G}}}_{\max} / [1+\exp (({{\rm{V}}}-{{{\rm{V}}}}_{1/2})/{{\rm{k}}})]+{{\rm{A}}},$$
(1)

where Gmax is the maximal conductance, V1/2 the half-activation voltage, A is a conductance offset and k the inverse-slope factor = RT/zF (all in mV). For normalization of activation curves the ratio G/Gmax was calculated and Gmax in Eq. 1 was set to 1.

The time constant of activation was determined by monoexponential function fitting the current evoked during hyperpolarizing voltage pulse to -130 mV, the initial lag in the activation of HCN channel currents was excluded from the fitting procedure.

Ex vivo Langendorff-perfused heart rate measurements

ECG recording from Langendorff-perfused hearts was performed as following: Briefly, excised hearts were rapidly mounted on a Langendorff apparatus (ADInstrments Inc. Colorado Springs, USA) for retrograde aortic perfusion at a constant flow of 4 ml/min with oxygenated (95% O2, 5% CO2) Krebs-Henseleit solution consisting of (mM): 25.0 NaHCO3, 118.0 NaCl, 4.7 KCl, 1.2 MgSO4, 1.2 KH2PO4, 2.5 CaCl2, and 11.0 Glucose, with pH equilibrated to 7.4. Each perfused heart was immersed in a water-jacketed bath and the bath temperature was monitored by T-type Implantable Thermocouple Probe (IT-21) (ADInstrments Inc.). ECG measurements from the intact heart were continuously recorded with Isolated Heart MAP Electrode Set (Mouse, ADI) (ADInstrments Inc.). After the heart was allowed to stabilize for at least 20 min, the heart rate and bath temperature were recorded by Powerlab (ADInstrments Inc.), bath temperature was controlled or changed by circulating water from bath heater and circulator.

Telemetry ECG and body core temperature recording

Surgical implantation of ECG and body core temperature-sensing and recording telemeters was conducted as described44. Mice were allowed to recover for at least 7 days prior to experiments.

Cloning and mutagenesis

The plasmid (pENTR223.1-HCN4) containing the human HCN4 cDNA (HsCD00350637) was ordered from DNASU Plasmid Repository (http://dnasu.org/DNASU/GetCloneDetail.do?cloneid=350637). The HCN4 cDNA was cloned into the CVM promoter containing expression vector pcDNA6.2-V5-DEST by Gateway cloning (ThermoFisher Scientific). Human HCN1 (NM_021072.4) and HCN2 (NM_001194.4) cDNAs were synthesized by TWIST Bioscience and cloned into the pTwist-CMV-BetaGlobin-WPRE-Neo mammalian expression vector. Single and double mutations targeting the candidate residues identified by computational modeling were generated by the Q5 Site-directed mutagenesis kit (New England BioLabs). More complex compound mutations were generated in synthetic gene fragments (TWIST Bioscience), which were then used to replace the corresponding regions in the wildtype plasmids with NEBuilder® HiFi DNA Assembly Cloning Kit (New England BioLabs). All plasmids were fully sequenced. The rabbit M408Q/Y410F (corresponding to M407Q/Y409F on mouse and human HCN4) were generated by the Q5 Site-directed mutagenesis kit.

HCN4 computational modeling

The transmembrane portion of the open and cAMP-activated structures of HCN4 overlapped using the program MOE (Molecular Operating Environment). The residue substitutions to be studied were modeled in the human structures with the same molecular modeling program. The apolar and polar solvent exposed areas of each atom in the human structures were calculated using a Shrake-Rupley algorithm with a probe radius of 1.4 Å using computational routines provided by Bio.PDB (v 1.79), pandas (v 1.4.1), and Numpy (v 1.22.2) python (v 3.8) modules, summed total for all, main-chain, and side-chain atoms, as well as separated contributions of their polar and apolar areas. The theoretical contributions to the ΔCp of hydration per unit of SASA were calculated using interpolated values at 37 °C from Table 7 of reference45. The linear interpolation used the reported values at 25 °C and 50 °C. The python Jupyter notebook developed and auxiliary files are available in the GitHub repository (https://github.com/mabianchet/HCN4_SASA).

M407Q/Y409F knock in mice

Hcn4-M407Q/Y409F-knockin mice were generated on a C57BL/6 J background using the CRISPR/Cas9 technology at the Johns Hopkins Transgenic Core. A CRISPR guide RNA (Alt-R® CRISPR-Cas9 crRNA, IDT), sequence: 5′- taggtcatgtggaagatctg-3′, was designed to target mouse Hcn4. A synthetic ssODN for homology-directed repair was designed to harbor missense mutations for M407Q (ATG→caG), Y409F (TAT→Ttc), and silent mutations encoding I404 (ATC→ATt) and F405 (TTC→TTt) to create an HphI restriction site for genotyping. The sequence of the ssODN was 5’-CAATGAGGTTCACGATGCGTACCACGGCGCTGGCCAGGTCgaAGGTCtgGTGaAAaATCTGTGGAGTCGAGCCATGGCACAGACAAGTAAGCGGTC-3’. Genotyping of founder mice, and subsequent offspring was performed by first PCR amplifying a 385 bp fragment from tail DNA with a pair of primers (HCN4QF_Fwd: GTGTTGCCATGGTGCCCTCCAG and HCN4QF_Rev: TGCCACCTGCTGGGATTCAGGA). Then, both Sanger sequencing and HphI digestion of the PCR amplified fragments were used for genotyping. 28 out of 43 F0 mice were targeted by CRISPR, and 3 had correct M407Q/Y409F mutations. Two founder M407Q/Y409F mice were backcrossed with C57BL/6 J mice from The Jackson Laboratory, and experiments from both lines produced similar results.

Statistical analysis

Data are presented as mean ± SEM unless otherwise noted. Statistical analysis was performed either with one-way ANOVA or an unpaired or paired Student’s t-test, as appropriate. Analyses were performed with Sigmaplot or Sigmastat (Systat Software, Inc. San Jose, CA 95110 USA), and Graph Pad Prism 8 (GraphPad Software, Inc. San Diego, CA 92108, USA). The null hypothesis was rejected for a P < 0.05.

Movie

Movie 1 was created using the PyMOL program. The intermediate structures between the close and activated form were obtained using The Yale Morphing server (http://www.molmovdb.org/molmovdb/morph/; accessed May 23 2023)46.

Reporting summary

Further information on research design is available in the Nature Portfolio Reporting Summary linked to this article.