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Insect Control: Biological and Synthetic Agents - Index of

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Figure 8 Dihydropyrazole block appears as a parallel shift <strong>of</strong><br />

the steady state slow inactivation curve in the direction <strong>of</strong><br />

hyperpolarization. Ionic current traces were scaled by a common<br />

factor so that the peak at 120 mV matched the peak<br />

before treatment with the dihydropyrazole. Peak INa was depressed<br />

most at depolarized potentials, whereas outward current,<br />

IK, was not affected by the treatment. The graph shows<br />

plots <strong>of</strong> peak current normalized to the value at 120 mV. RH-<br />

3421 (10 mM) appears to shift the steady state inactivation relation<br />

to the left by 8.6 mV. (Reproduced with permission from<br />

Salgado, V.L., 1992. Slow voltage-dependent block <strong>of</strong> Na þ<br />

channels in crayfish nerve by dihydropyrazole insecticides.<br />

Mol. Pharmacol. 41, 120–126; ß American Society for Pharmacology<br />

<strong>and</strong> Experimental Therapeutics.)<br />

within 0.5 ms, then reversed <strong>and</strong> became outward.<br />

The inward (downward) peak is the Na þ current<br />

<strong>and</strong> the outward (upward) steady state current is<br />

the K þ current (Pichon <strong>and</strong> Ashcr<strong>of</strong>t, 1985). Depolarization<br />

<strong>of</strong> the axon to potentials more positive<br />

than 90 mV in the control suppressed the Na þ<br />

current by a process known as inactivation, which<br />

in this case had a midpoint potential <strong>of</strong> 77 mV.<br />

Na þ channels have two partially independent inactivation<br />

processes, known as fast <strong>and</strong> slow inactivation.<br />

Fast inactivation occurs on a millisecond<br />

timescale <strong>and</strong> serves to terminate the action potential,<br />

while slow inactivation occurs on a much slower<br />

timescale, over hundreds <strong>of</strong> milliseconds, <strong>and</strong> performs<br />

a slow, modulatory function. Slow inactivation<br />

occurs at more negative potentials than fast inactivation,<br />

<strong>and</strong> is responsible for the inactivation seen in<br />

Figure 8. After equilibration <strong>of</strong> the axon with RH-<br />

3421, there was no effect on either Na þ or K þ current<br />

at 120 or at 100 mV (Figure 8). At more depolarized<br />

potentials, however, the Na þ current was<br />

specifically depressed by RH-3421, whereas the K þ<br />

current was unaffected. When peak Na þ current is<br />

plotted against membrane potential, it appears that<br />

2: Indoxacarb <strong>and</strong> the Sodium Channel Blocker <strong>Insect</strong>icides 43<br />

Figure 9 A model showing the resting (R), Open (O), <strong>and</strong><br />

inactivated (I) states <strong>of</strong> the Na þ channel, <strong>and</strong> specific interaction<br />

<strong>of</strong> the SCBIs (D) with the inactivated state.<br />

RH-3421 has shifted the slow inactivation curve by<br />

9 mV to the left.<br />

The next step in the analysis is to consider the<br />

mechanism <strong>of</strong> this apparent shift <strong>of</strong> slow inactivation.<br />

Whereas fast inactivation occurs with a time course <strong>of</strong><br />

hundreds <strong>of</strong> microseconds to a few milliseconds, <strong>and</strong><br />

slow inactivation on the order <strong>of</strong> tens to hundreds <strong>of</strong><br />

milliseconds, the changes in peak Na þ current in the<br />

presence <strong>of</strong> SCBIs occur on a much slower timescale,<br />

on the order <strong>of</strong> 15 min. This slow readjustment <strong>of</strong><br />

peak current in response to voltage change can therefore<br />

be attributed to a new process: the binding <strong>and</strong><br />

unbinding <strong>of</strong> SCBIs to Na þ channels.<br />

The Na þ channel undergoes transitions between<br />

many different conformations or states, which can<br />

be grouped into resting (R), open (O), <strong>and</strong> inactivated<br />

(I) states, each <strong>of</strong> which may have several<br />

substates. The transitions between these naturally<br />

occurring states are shown on the left in Figure 9.<br />

In this simplified model, S1 ¼ [R]/[R] þ [I], is the<br />

steady-state slow inactivation parameter, which<br />

depends on membrane potential according to<br />

1<br />

S1 ¼<br />

½1Š<br />

1 þ exp½ðV VSÞ=kŠ<br />

where V is membrane potential, VS is the potential<br />

at which S1 ¼ 0.5 (half <strong>of</strong> the channels are in the<br />

inactivated state), <strong>and</strong> k is a constant that includes<br />

the Boltzmann constant <strong>and</strong> describes the voltage<br />

sensitivity <strong>of</strong> the inactivation process (Hodgkin <strong>and</strong><br />

Huxley, 1952).<br />

This model ignores the fast-inactivated state, but<br />

interaction <strong>of</strong> the SCBIs with the channels is so slow,<br />

that it <strong>and</strong> the open state, O, can be ignored in the<br />

analysis. The observed enhancement <strong>of</strong> slow inactivation<br />

can be explained if we assume that the SCBI<br />

drug (D) binds selectively to an inactivated state, as<br />

also shown on the right-h<strong>and</strong> side in the model<br />

(Figure 9). Drug binding would then effectively<br />

remove channels from the I pool, which would be<br />

compensated for by mass action rearrangements<br />

among the other states, leading to net flux <strong>of</strong> more<br />

receptors from the R pool into the I <strong>and</strong> D I pools.<br />

KI ¼ [D] [I]/[D I] is defined as the equilibrium<br />

dissociation constant <strong>of</strong> the D I complex.<br />

In the presence <strong>of</strong> SCBI drug, two processes lead to<br />

the decrease in current upon depolarization: slow

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