Figure 1. Anatomical location and somatodendritic morphology of retrogradely labeled corticospinal neurons. (A) An epifluorescence image of a coronal brain.

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Figure 1. Anatomical location and somatodendritic morphology of retrogradely labeled corticospinal neurons. (A) An epifluorescence image of a coronal brain slice prepared several days after injection of a fluorescent tracer into the cervical spinal cord, showing retrogradely labeled corticospinal neurons in layer 5B. Highest densities of labeled somata were found in 2 regions: Primary motor cortex (M1), and a separate lateral area (Region B). Box: Region in M1 where most recordings of M1 corticospinal neurons were made. (B) Dye-filled corticospinal neurons identified by retrograde labeling, whole-cell recorded with biocytin in the pipette, and imaged with 2-photon microscopy. Maximum intensity projection of image stacks. Laminar borders (indicated on the left) were measured and averaged from bright-field slice images (n = 60). The lower border of layer 5B was estimated from the lower edge of the distribution of bead-labeled corticospinal somata in fluorescence slice images (n = 30). Right: Reconstructed morphology of one of the corticospinal neurons (arrow). (C) Cortical depths of corticospinal neurons in the main data set plotted as the distance of the soma from the pia, normalized to the cortical thickness (pia to white matter, WM). (D) Soma tracings for the recorded corticospinal neurons. Tracings are centroid centered and aligned on the apical axis. (E) Cross-sectional areas of the somata (error bars: SD). From: Intrinsic Electrophysiology of Mouse Corticospinal Neurons: a Class-Specific Triad of Spike-Related Properties Cereb Cortex. 2012;23(8):1965-1977. doi:10.1093/cercor/bhs184 Cereb Cortex | © The Author 2012. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com

Figure 2. Waveform properties of single APs recorded in retrogradely labeled corticospinal neurons in mouse motor cortex. (A) Responses to a family of injected steps of current recorded in a corticospinal neuron. (B) Top: Individual AP waveforms from 23 corticospinal neurons overlaid for comparison and peak aligned. Inset shows the first AP during a current step on a longer time base. Bottom: Corresponding dV/dt traces. (C) Top: AP example illustrating measurement of waveform parameters. Bottom: Corresponding dV/dt trace indicating the measurement method for time of threshold, maximum rising slope, and minimum falling slope. (D) Width, max dV/dt, min dV/dt, threshold, peak, and amplitude measurements for each of the APs shown in (C). In addition, each measurement is summarized with error bars indicating 1 standard deviation above and below the population mean. From: Intrinsic Electrophysiology of Mouse Corticospinal Neurons: a Class-Specific Triad of Spike-Related Properties Cereb Cortex. 2012;23(8):1965-1977. doi:10.1093/cercor/bhs184 Cereb Cortex | © The Author 2012. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com

Figure 3. Width of APs evoked by current steps in corticospinal neurons compared with other cell types. (A) Example AP waveforms from a corticospinal neuron (SPI), corticostriatal neuron (STR), FS interneuron (FS), and LTS interneuron (LTS). (B) Phase plots of same APs shown in (A). (C) Plot of AP width, group data. Bars: mean ± SEM. From: Intrinsic Electrophysiology of Mouse Corticospinal Neurons: a Class-Specific Triad of Spike-Related Properties Cereb Cortex. 2012;23(8):1965-1977. doi:10.1093/cercor/bhs184 Cereb Cortex | © The Author 2012. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com

Figure 4. Width of APs evoked by current steps in corticospinal neurons compared with synaptically evoked and spontaneous APs. (A) Peak-aligned waveforms of APs evoked in a corticospinal neuron either by current steps injected via the somatic patch electrode (I(soma, short) and I(soma, long): 800 pA, 10 ms or 500 pA, 1 s current steps, respectively), or by photoexcitation of ChR2 expressing layer 2/3 pyramidal neurons (ChR2/synaptic). The lowermost trace shows the absence of photo-evoked response after application of 10 μM NBQX, 5 μM CPP, and 10 μM gabazine to block synaptic transmission. Inset: As shown by these subthreshold (gray) and suprathreshold (black) traces, stimulation intensity was near AP threshold (scale: 20 mV, 2 ms). (B) Widths of APs induced by long or short somatic current steps or by synaptic excitation (n = 4 neurons), plotted as mean ± SD, averaged over multiple stimulations (range: 2–7) per neuron. (C) Spontaneously occurring AP waveform compared with APs evoked by brief or prolonged somatic current injection in a corticospinal neuron (animal age P49). Inset: Phase-space representation of the APs. From: Intrinsic Electrophysiology of Mouse Corticospinal Neurons: a Class-Specific Triad of Spike-Related Properties Cereb Cortex. 2012;23(8):1965-1977. doi:10.1093/cercor/bhs184 Cereb Cortex | © The Author 2012. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com

Figure 5. AP width and other waveform parameters remain constant during repetitive firing in corticospinal neurons. (A) A train of 10 APs from a corticospinal neuron held near −80 mV with a 100 pA constant current injection, in response to a 300 pA, 1-s current step. (B) Upper: Individual AP waveforms from the train in A aligned to time of peak membrane potential; the first AP is in black (dashed line) and all subsequent APs in gray. Inset: Rising edge of APs shown with slower time base. Lower: Corresponding dV/dt traces as in upper panel. Inset: dV/dt traces of rising edge of AP. (C) Multiple AP waveform parameters for 10 Hz trains in individual corticospinal neurons. Same group of 23 corticospinal neurons as in Figure 1. (D) Same as (C), but for 20 Hz trains. From: Intrinsic Electrophysiology of Mouse Corticospinal Neurons: a Class-Specific Triad of Spike-Related Properties Cereb Cortex. 2012;23(8):1965-1977. doi:10.1093/cercor/bhs184 Cereb Cortex | © The Author 2012. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com

Figure 6. AP waveform constancy during repetitive firing: Comparison of corticospinal and corticostriatal neurons. (A) Example trains of APs at approximately 10 Hz in corticospinal and corticostriatal neurons. (B) Individual corticostriatal AP waveforms from a 10-Hz train. Black: first AP; gray: Subsequent APs. (C) Width of successive APs in a 10-Hz train averaged for corticospinal (black, n = 23) and corticostriatal (gray, n= 10) neurons (mean ± SEM). (D) Percent difference from first to eighth AP for the change in AP width. (E) Percent difference from first to eighth AP for the change in falling slope (minimum dV/dt). From: Intrinsic Electrophysiology of Mouse Corticospinal Neurons: a Class-Specific Triad of Spike-Related Properties Cereb Cortex. 2012;23(8):1965-1977. doi:10.1093/cercor/bhs184 Cereb Cortex | © The Author 2012. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com

Figure 7. Individual corticospinal neurons maintain consistent AP shape. (A) AP waveform variability across the corticospinal population is greater than variability within APs from an individual neuron. For each neuron, the within-cell CV was calculated for the AP waveform properties across the approximately 10 APs in an approximately 10-Hz train evoked by a depolarizing current step. For each neuron, the average values of these properties were also determined, and the CV of these average values was calculated across the sample of neurons to obtain the across-cell CV. Error bars represent the SEM. Dashed lines: Unity slope. (B) Same analysis for corticostriatal neurons. From: Intrinsic Electrophysiology of Mouse Corticospinal Neurons: a Class-Specific Triad of Spike-Related Properties Cereb Cortex. 2012;23(8):1965-1977. doi:10.1093/cercor/bhs184 Cereb Cortex | © The Author 2012. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com

Figure 8. Corticospinal frequency–current (f–I) relationships Figure 8. Corticospinal frequency–current (f–I) relationships. (A) A corticospinal neuron's suprathreshold responses to a family of current steps (300–600 pA) delivered from rest. (B) Corticospinal neurons' f–I relationships measured from a holding potential of −80 mV. (C) Average f–I relationships of corticospinal neurons measured at −80 mV (dashed line) or at the resting membrane potential (solid line). (D) f–I relationships of 10 individual corticostriatal neurons measured from a holding potential of −80 mV. (E) Average f–I relationships of corticostriatal (dashed line) and corticospinal (solid line) neurons measured from the resting membrane potential. Current values represent the amplitudes of the step stimuli minus the amplitude of the first AP-evoking step; the values were binned prior to averaging. (F) f–I slopes (left, individual values; right, mean ± SEM). (G) Estimated rheobase (left, individual values; right, mean ± SEM). (H) Linearity index (LI; left, individual values; right, mean ± SEM). Because many of the data points overlap, the cumulative distributions are also shown (inset). LI was calculated as the ratio of the f–I slope for large versus small current steps: LI = (slope over the third interval)/(slope over the first interval). Thus, LI = 1 would indicate perfect linearity (constant slope), and LI = 0 would indicate complete rollover (reduced slope). (I) Relationships between f–I slope and input resistance (R<sub>in</sub>) (top) and between estimated rheobase and R<sub>in</sub> (bottom). All corticospinal neurons in the study were included in these analyses. Lines represent linear regressions. From: Intrinsic Electrophysiology of Mouse Corticospinal Neurons: a Class-Specific Triad of Spike-Related Properties Cereb Cortex. 2012;23(8):1965-1977. doi:10.1093/cercor/bhs184 Cereb Cortex | © The Author 2012. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com

Figure 9. Spike frequency over time Figure 9. Spike frequency over time. (A) Example trains of APs at approximately 10 Hz in corticospinal (left) and corticostriatal neurons (right), showing the range of spike-frequency modulation over time. Examples were selected on the basis of similar steady-state firing rate (last ISI ranges from 74 to 77 ms for corticospinal, 113–119 ms for corticostriatal). (B) Instantaneous firing rate as a function of time from the onset of the current step for traces with approximately 10 (bottom traces, black lines) or 20 Hz (top traces, gray lines) average firing rates. (C) Instantaneous firing rate versus time averaged for all 10 (bottom, solid lines) or 20 Hz (top, dashed lines) traces, for corticospinal (black lines) and corticostriatal (gray lines) neurons. Inset: Data for individual corticostriatal neurons. From: Intrinsic Electrophysiology of Mouse Corticospinal Neurons: a Class-Specific Triad of Spike-Related Properties Cereb Cortex. 2012;23(8):1965-1977. doi:10.1093/cercor/bhs184 Cereb Cortex | © The Author 2012. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com

Figure 10. Corticospinal intrinsic properties of older animals Figure 10. Corticospinal intrinsic properties of older animals. (A) Reconstructed morphology of a corticospinal neuron from an older mouse (age P49). (B) Top: Responses to a family of injected steps of current (−300, +300, and +400 pA) recorded in the corticospinal neuron shown in (A). Bottom: Waveform of the first AP in the train shown at top. Inset: Phase-space representation of the same AP. (C) Intrinsic properties that varied with animal age. Each data point represents a single corticospinal neuron; the dashed line represents a linear fit to the data. The asterisk indicates a statistically significant (P < 0.05) difference between neurons from the original data set (∼4 weeks of age) and from the oldest animals (∼16 weeks of age). A few additional AP parameters differed between these age groups (see text). The δ width parameter is the change in AP width at approximately 10 Hz (percent difference from first to eighth AP). From: Intrinsic Electrophysiology of Mouse Corticospinal Neurons: a Class-Specific Triad of Spike-Related Properties Cereb Cortex. 2012;23(8):1965-1977. doi:10.1093/cercor/bhs184 Cereb Cortex | © The Author 2012. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com

Figure 11. Intrinsic properties of corticospinal neurons in Region B Figure 11. Intrinsic properties of corticospinal neurons in Region B. (A) Traces recorded from a corticospinal neuron in Region B. (B) AP waveforms; each trace is from a different neuron. (C) f–I relationships. (D) Instantaneous frequency over time for traces with approximately 10 and 20 Hz average firing rates. From: Intrinsic Electrophysiology of Mouse Corticospinal Neurons: a Class-Specific Triad of Spike-Related Properties Cereb Cortex. 2012;23(8):1965-1977. doi:10.1093/cercor/bhs184 Cereb Cortex | © The Author 2012. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com