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7  Delivery of Information and Power to the Implant

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function through the migration process, for 6 weeks after implantation, and that there is excellent apposition between neuronal cell bodies and electrode tips [9].

In summary, the best proximity between electrodes and target cells in the inner retina is achieved using three-dimensional implants that utilize retinal plasticity for intimate integration of the inner retina with the implant. An implant with a multitude of voids allows retinal cell bodies and cell processes to migrate into the voids within 72 h after implantation, and appears to be stable at least up to 6 weeks post-op.

7.4  Damage to Retinal Tissue from Electrical Stimulation

Understanding the safe limits of electrical stimulation of neural tissue is critically important for maintaining a stable interface between the retina and the prosthesis. Some studies along these lines have been performed with cortical stimulation in cats, using charge-balanced 400 ms pulses at 50 Hz over the course of 7 h, and analyzed by histology [39]. It was determined that charge per phase and charge density were cofactors that determined cellular damage in different regimes. However, no detailed understanding has been achieved regarding dependence of the damage threshold on pulse duration, electrode size, distance from the electrode and number of pulses. This section explores these dependences using chick retina, validated with a limited number of experiments on mammalian retina in vitro.

Electrical stimulation was biphasic, with the same duration in both phases, leading with the cathodal phase. All durations mentioned below refer to time per phase. Cellular damage was assessed using propidium iodide (PI), a normally cell impermeable molecule that becomes fluorescent upon binding to nucleic acids [70]. PI was added to the medium prior to the treatment and dye fluorescence was assessed 15 min after the electrical pulse. Causes of cellular damage may include the direct effect of electric field, thermal damage from the applied current, or toxic products from the electrochemical reactions at the electrode–electrolyte interface. Our estimations of Joule heating within the pulse durations and currents used in our experiments indicated that this effect is negligible – temperature rise did not exceed 0.02°C, significantly lower than thermal damage thresholds [10]. Glass pipettes pulled to various tip diameters were used as stimulating electrodes. This design allowed large platinum wire bundles inside the pipette to have low current density on the metal surface to avoid generation of gas inside the capillary, while having high current densities at the electrode tip.

Damage thresholds were established for pulse durations in the range of 6 ms/ phase to 6 ms/phase, and for electrode diameters of 0.1–1 mm. All plots include two points for each setting: a maximum safe value and a minimum damaging level, evaluated 5–15 min after the insult.

As shown in Fig. 7.7, the damage threshold decreased with the number of pulses, stabilizing after 100 exposures at approximately 15% of the single pulse value. This level remained stable up to the maximum number of pulses tested – 7,500 exposures at 25 Hz. The pulse duration was 600 ms in these measurements.

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Fig. 7.7Retinal damage threshold current density as a function of the number of pulses, applied during 5 min, normalized to a single exposure damage threshold. After approximately 50 pulses, the damage threshold reaches a constant level. A pipette of 1 mm in diameter was used in these measurements with a 600 ms pulse duration. Figure reprinted from [10], with permission; © 2009 IEEE

Fig. 7.8Strength-duration dependence of the damage thresholds on the retina. (○) Measured on the chick retina with single shots (open symbols) and with sustained repetitive exposures (● solid symbols). Current density relates to pulse duration t roughly as t−0.5, which is characteristic of electroporation [69, 70]. For comparison, (´) represents the damage thresholds of the porcine retina by single pulses in vitro and (D) presents chronic damage thresholds on the rabbit retina measured in vivo [13]. Figure reprinted from [10], with permission; © 2009 IEEE

7.4.1  Effect of Pulse Duration

Pulse duration was varied between 6 ms and 6 ms using a large electrode (1 mm) for single and repeated exposures. As shown in Fig. 7.8, the damage thresholds scale with pulse length as approximately 1/√t, or more exactly t−0.48 for chronic

7  Delivery of Information and Power to the Implant

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stimulation (7,500 pulses), and t−0.41 for single exposures. Two additional measurements have been performed with single exposures on porcine retina to validate the chick model; they are presented with the X. For comparison we also plot the in vivo result of chronic retinal stimulation in rabbits (D) [71].

The approximate scaling of the strength–duration curves as t−0.5 is characteristic of electroporation [41, 42], indicating that cellular damage is produced by the opening of pores in the cell membrane. Though cells can recover from the transient occurrence of these pores, it is unlikely that the cell would be able to sustain this abnormal state chronically. The scaling also indicates that neither charge, nor charge density, q = jt, are conserved along the strength–duration curve. It used to be believed that charge and charge density per phase were the two determinants of damage threshold [39].

7.4.2  Electrode Size

The dependence of damage threshold on electrode size was investigated using 600 ms biphasic pulses on chick retina with electrode size ranging from 0.1 to 1 mm. As shown in Fig. 7.9, damage threshold current density is nearly constant with large electrodes (diameter greater than 300 mm). With smaller electrodes the current increases, asymptotically approaching a 1/d2 dependence, indicating a constant current regime characteristic of a point source. This asymptotic constant current value was about 140 mA for a 600 ms pulse duration.

The strength–duration relationship for large and small pipettes (0.115 and 1.0 mm) are compared in Fig. 7.10 with the retinal stimulation thresholds published by Jensen et al. [24]. The inset plot depicts the safe dynamic range of retinal

Fig. 7.9Dependence of the threshold current density on pipette diameter for sustained exposures on chick retina with pulse duration of 0.6 ms/phase. The solid line represents the current density at the tissue, calculated using the model of a disk electrode separated from the retina by 125 mm. On electrodes smaller than 200 mm, the current density scales as 1/d2, corresponding to a constant current of 139 mA. Figure reprinted from [10], with permission; © 2009 IEEE