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    Polymers for Neural Implants

    Christina Hassler,1,2 Tim Boretius,1 Thomas Stieglitz1,2

    1Laboratory for Biomedical Microtechnology, Department of Microsystems Engineering-IMTEK, University of Freiburg,

    Georges-Koehler-Allee 102, Freiburg, Germany

    2Bernstein Center Freiburg, Hansastr. 9A, Freiburg, Germany

    Correspondence to: T. Boretius (E-mail: [email protected])

    Received 20 August 2010

    DOI: 10.1002/polb.22169

    ABSTRACT: Neural implants are technical systems that restore

    sensory or motor functions after injury and modulate neural

    behavior in neuronal diseases. Neural interfaces or prostheses

    have lead to new therapeutic options and rehabilitation

    approaches in the last 40 years. The interface between the

    nervous tissue and the technical material is the place that

    determines success or failure of the neural implant. Recording

    of nerve signals and stimulation of nerve cells take place at

    this neuro-technical interface. Polymers are the most common

    material class for substrate and insulation materials in combi-

    nation with metals for interconnection wires and electrode

    sites. This work focuses on the neuro-technical interface and

    summarizes its fundamental specifications first. The most com-

    mon polymer materials are presented and described in detail.

    We conclude with an overview of the different applications and

    their specific designs with the accompanying manufacturing

    processes from precision mechanics, laser structuring and

    micromachining that are introduced in either the peripheral or

    central nervous system. VC 2010 Wiley Periodicals, Inc. J Polym

    Sci Part B: Polym Phys 49: 1833, 2011

    KEYWORDS:biocompatibility; biomaterials; polyimides; sili-

    cones; thin-films

    INTRODUCTION TO NEURAL IMPLANTS Neural implants are

    technical systems that are mainly used to stimulate parts

    and structures of the nervous system with the aid of

    implanted electrical circuitry or record the electrical activityof nerve cells. Their application in clinical practice has given

    rise to the fields known as neuromodulation and neuro-

    prosthetics (or neural prostheses). From the experience

    gained by the early experiments in the 1960s, miniaturiza-

    tion technologies, material sciences and the progress in med-

    ical and especially neuroscientific knowledge evolved and

    paved the way to these novel applications in therapies of

    neurological diseases and rehabilitation of lost functions in

    clinical practice.1,2 Neuromodulation, namely the stimulation

    of central nervous system structures to modulate nerve

    excitability and the release of neurotransmitters,3 alleviates

    the effects of many neurological diseases. Deep brain stimu-

    lation helps patients suffering from Parkinsons disease tosuppress tremor and movement disorders. It is also a treat-

    ment option for severe psychiatric diseases like depression

    and obsessive-compulsive disorder. Vagal nerve stimulation

    has been applied first to treat epilepsy3,4 but has now

    expanded to psychiatric diseases and many more applica-

    tions are under development in preclinical and clinical trials.

    The most commonly implanted device in the neuromodula-

    tion sector is the spinal cord stimulator, used to alleviate

    chronic pain and to treat incontinence.5 More than 130,000

    patients have benefitted from these implants5 that derive

    from cardiac pacemakers, first developed decades ago.Neural prostheses aim to restore lost functions of the body,

    either sensory, motor or vegetative. An early example can be

    dated back to about 1970 when Giles Brindley implanted the

    first electrodes around the sacral nerves of spinal cord

    injured persons to manage their bladder function.6,7 Other

    implants have been developed in parallel to help patients

    suffering from stroke or from spinal cord injury. Motor

    implants to restore grasping,8 stance and gait9,10 as well as

    ventilation11 by electrical stimulation of the diaphragm have

    been developed and introduced into preclinical studies or

    even as commercial products to the market. However, the

    number of patients that benefit from these systems is rela-

    tively low, in part due to some technical shortcomings, but

    mainly as a result of the limited performance of the implants

    in patients due to their individual course of injury. In combi-

    nation with a limited market, it is economically quite unat-

    tractive for companies to develop and approve a new device,

    since the reimbursement is uncertain and the sale volume is

    (too) low. Sensory implants to restore hearing, so-called

    cochlear implants, are one of the main success stories of

    neural prostheses. More than 150,000 patients have been

    C. Hassler and T. Boretius contributed equally to this work.

    VC 2010 Wiley Periodicals, Inc.

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    implanted with these technical systems, that stimulate the

    nerve cells in the inner ear at several sites when the sensory

    cells (hair cells) are no longer present, for example, due to

    aging, diseases (meningitis or Menieres disease) or by cer-tain drug treatments.12,13 Congenitally deaf children, as well

    as adults who have lost their hearing at a later point in life14

    have been implanted and were able to hear and to communi-

    cate via the telephone with these implants. Recently devel-

    oped implants can access the brain stem15 and midbrain

    auditory structures16 when tumors have destroyed the path-

    ways from the ear to the cortex, to restore at least some

    sound perception. In these cases, there is still room for a lot

    of improvement since the speech processors are borrowed

    from cochlear implants and are not yet optimized for the

    neuronal target structures.

    The latest technological progress in miniaturization technolo-

    gies has enabled the development of retinal prostheses torestore vision through implantation of complex electrical

    stimulators into the eyes of blind people.1,17 Clinical trials

    have proven the feasibility of the approach, but there are still

    many limitations to overcome and thus it is likely that com-

    mercial products will not be available within the immediate

    future.

    The concept of controlling technical devices and neural pros-

    theses by thoughts currently drives research in the field of

    brain-machine interfaces, where a large variety of different

    materials and approaches compete to become the first reli-

    able solution for a clinical application.18 Unfortunately, en-

    thusiasm about the technological opportunities masks the

    risk and side effects that come along with implantation.

    Therefore, benefits and detriments have to be carefully con-sidered in any medical and surgical treatment, and ulti-

    mately the patient should give the final consent for implanta-

    tion to occur.

    All neural implants have to fulfill general requirements to

    become approved as a medical device: They must not harm

    the body and should stay stable and functional over a certain

    life-time which is in most cases in the range of decades. Her-

    metic packages made of ceramics or titanium are state of the

    art2 to protect the implant electronics from moisture and

    ions. These packages are implanted in most cases in a place

    that is quite far away from the neuronal target tissue to pre-

    vent any undesired interaction or damage. The key challenge

    for any neural implant is the proper design of the neuro-technical interface. Multiple electrical contact sites have to

    get in close contact with neural tissue to selectively stimu-

    late subsets of nerve cells. Nerves are delicate and structures

    of soft tissue get easily damaged by hard materials especially

    when forces due to movements occur. Polymers have been

    found the optimal material class when requirements of little

    response to implantation, long-term stability in a hostile

    environment, low material stiffness (i.e., high material flexi-

    bility), and good electrical insulation of metallic conductors

    have to be combined in a single material.

    Christina Hassler received the Dipl.-Ing. in microsystems engineering in 2008 from the

    University of Freiburg, Germany. Later she joined the group for Biomedical Microtechnology

    at the Faculty of Engineering (IMTEK), University of Freiburg as a Ph.D. student. Her interest

    in research focuses on polyimide-/parylene-based intracortical microelectrodes with

    biodegradable coatings.

    Tim Boretiusreceived the Dipl.-Ing. in microsystems engineering in 2008 from the University

    of Freiburg, Germany. Later he joined the group for Biomedical Microtechnology at the

    Faculty of Engineering (IMTEK), University of Freiburg as Ph.D. student. His interest in

    research focuses on polyimide based microelectrodes, active coatings and the assemblage

    of the same.

    Thomas Stieglitzreceived the Dipl.-Ing. in electrical engineering in 1993 (TH Karlsruhe), the

    Dr.-Ing. in 1998 and qualified as a university lecturer (Habilitation) in 2002 (both from the

    University of Saarland, Saarbruecken, Germany). From 1993 to 2004 he was with the

    Fraunhofer-Institute for Biomedical Engineering, St. Ingbert/Germany. Since October 2004,

    he is a full-time Professor for Biomedical Microtechnology at the Faculty of Engineering

    (IMTEK), University of Freiburg. His research interests include biocompatible assembling

    and packaging, microimplants, and neural prostheses.

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    In this review, we have compiled the information that

    seemed to us most valuable to enter the field of neural pros-

    theses and to enable the reader to make up his own mind

    about neural implants. First, we summarize the fundamental

    requirements of a material-tissue interface with the nervous

    system. Next, the most common polymers and their material

    properties are summed up, since the most widespread mate-

    rials for substrate and insulation materials of electrodes andcables are polymers. Following this, the use of polymers and

    their performance in different neuro-technical interfaces

    with the peripheral and central nervous system are pre-

    sented for the various designs and applications. Finally, we

    summarize the topic of polymers for encapsulation and pack-

    aging of implantable electronics; however, a full discussion

    goes beyond the scope of the current review.

    FUNDAMENTAL SPECIFICATIONS OF

    NEURO-TECHNICAL INTERFACES

    Even though millions of people worldwide benefit from ar-

    tificial joints and cardiac pacemakers, it does not mean that

    the challenges to implant a technical material in the humanbody are completely solved or even fully understood. In

    addition to their own special requirements, all implants

    have certain fundamental specifications in common to be

    stable and functional. These specifications will be explained

    using the example of neuro-technical interfaces. The inter-

    face of neural implants forms the boundary of technical

    system and delicate soft tissue, that is nerve cells that are

    surrounded by supporting cells like glial cells in the central

    nervous system or fibrous tissue such as the perineurium

    and the epineurium in the peripheral nervous system. The

    mechanical properties of the biological tissue have to be

    taken seriously into account when selecting materials for

    implant manufacture as well as the anatomical constraintsand conditions of the implantation site considering space

    and movement of the nerve versus muscles, skin and

    bones. From the engineering point of view, proper and

    detailed target specifications including the details and limi-

    tations of the intended use are mandatory to make a

    proper design that combines a sufficiently high robustness

    with the necessary complexity of the technical system and

    not the highest possible one.

    Surface Biocompatibility

    Any implant is designed to have a minimal impact on the

    body. However, any surgical intervention is accompanied by

    an inflammatory response as a normal physiological re-

    sponse to this intervention. In the presence of an implant,this response tends to be increased and extended depending

    on the chemical composition of the implants surface. A non-

    specific foreign body reaction is initiated19 that -colloquially

    spoken- tries to eat up the implant or to wall it out. Specific

    immune responses with antibody mediated immune

    responses hardly occur and should be prevented by the ma-

    terial selection but also by the cleanness (i.e., the amount of

    germs and dirt on the implant). The aspect of surface bio-

    compatibility deals with all viewpoints of chemical and bio-

    logical interaction of an implant with the surrounding tissue.

    This biological process chain starts in any case with an

    unspecific protein adsorption (also called biofouling) that

    triggers the foreign body response. In the best case, it ends

    up with a defined and stable encapsulation of fibrotic tissue

    without harming the implant, a so-called bioinert reaction.

    This encapsulation might be beneficial with respect to the

    spatial fixation of the implant. However, since we deal with

    implants to record electrical signals and to electrically stimu-late nerve cells, this electrically insulating encapsulation

    always results in an increase of current or voltage threshold

    for stimulation and in a decrease in the signal-to-noise ratios

    during recording until a steady state is reached. Therefore,

    substrate materials and coatings must be chosen that the

    reaction after implantation is minimized and that reactive

    cells are transferred into their inactivated state after the

    healing reaction is terminated.20 If these specifications are

    met, the material can be considered a reasonable biomate-

    rial.21 One prerequisite for such a material is that it must

    not cause large inflammation after surgical intervention, and

    cell behavior must not be altered by toxic products that dif-

    fuse out of the material itself. These basic material investiga-tions are identified in in vitro cytotoxicity tests with standar-

    dized cell cultures. The international standard ISO 10993

    Biological evaluation of medical devices describes test sys-

    tems, procedures and evaluation schemes to classify an

    implant as biocompatible or not. Cytotoxicity testing helps to

    reduce animal experiments and allows assessment of differ-

    ent materials due to standardized and application specific

    cell lines. Alterations in cell morphology and metabolism are

    good indicators for toxic chemical groups or elutes and the

    surface energy of the devices under test. Polymer materials

    have proven (see Polymer Materials section) their suitabil-

    ity as implant materials. Their surface properties can be

    even improved by chemical and bio-chemical surface modifi-

    cations. In this review, however, we will focus on the inher-

    ent material properties without any additional modification.

    Structural Biocompatibility

    Surface biocompatibility is necessary but depicts only one

    aspect of biocompatibility. Structural biocompatibility refers

    to mechanical interaction between the implant and the sur-

    rounding tissue and includes weight, shape and flexibility

    (Youngs modulus). For a long time, mechanical mismatch

    has been assigned to cell and tissue damage and the follow-

    ing release of mediators as a result of the implantation event

    initiating the inflammatory cascade. Therefore, a lot of

    research has been conducted to reduce insertion damage

    especially in the central nervous system (for a review, seeref. 22) but also in the peripheral nervous system to prevent

    collateral damage of the nervous tissue by movements of the

    implant. The mismatch of mechanical properties of the tech-

    nical material and target tissue leads to cellular reactions

    that attack and eventually encapsulate the implant23 and

    results in a less effective electrical performance as already

    described in Surface Biocompatibility section. Recently,22 it

    has been shown in central nervous system implants that

    micromovements due to mechanical mismatch also lead to a

    chronic inflammation that results in glial scars around

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    electrode carriers and finally electrode failure. These investi-

    gations on how the organism reacts to a certain material,

    shape and texture have to be performed in chronic in vivo

    experiments in animals before any device is allowed to enter

    a clinical trial according to the ISO 10993 and other direc-

    tives, for example, the medical device directive and the active

    implantable device directive (AIMD) in the EU. Polymers

    with their large variability in stiffness and their ability to es-

    tablish multilayer substrates with gradients in Youngs mod-

    uli are excellent candidates with respect to structural bio-

    compatibility in neural implant applications.

    Biostability

    Most of the chronic implants stay within the human body for

    decades. Even if the battery powered electronics have to be

    exchanged every 5 to 10 years, the neuro-technical interface,that is the electrode, usually remains implanted. The techni-

    cal term biostability summarizes different chemical aspects

    with respect to material stability and system integrity.23 Met-

    als should not corrode, and substrate and insulation layers

    should not delaminate or degrade. In polymers, hydrolytic,

    oxidative and enzymatic degradation may occur and can be

    accelerated by pH changes and voltages on integrated inter-

    connect lines. In vitro soaking tests, for example, in physio-

    logic saline, Ringers solution or cell culture media allow a

    first approximation of the biostability of the materials and

    are often performed at higher temperatures to accelerate the

    diffusion processes and thereby their influence on aging and

    the mean time to failure. General aspects on testing proce-

    dures are also described in the ISO 10993. Care has to be

    taken in the models of accelerated aging to predict the mean

    time to failure. Failure mechanisms in polymers do not

    always follow diffusion processes but depend on tempera-

    ture initiated processes in some cases that are not described

    by the Arrhenius equations that are commonly used in the

    field of implant manufacturing.24 However, the results must

    be validated by in vivo tests for the most promising material

    candidates to exclude additional enzyme or foreign body

    reactions that could not have been foreseen in in vitro mod-

    els. Again, the ISO 10993 guides the applicant through the

    necessary experiments that have to be done before a medical

    device approval can be passed.

    Changes in Implant Performance due

    to the Intended Use

    Neural implants should not interfere with the mechanical,

    chemical and physiological properties of nerves (e.g., trauma

    caused by surgical intervention) as already discussed earlier.

    In active medical devices, the official regulatory term for

    any recording and stimulation interface to the nervous sys-

    tem, the presence of electronic systems and their use must

    not alter nerve behavior either. Design measures have to be

    TABLE 1 List of the Electrical, Mechanical, and Thermal Properties of Chosen Polymers

    Properties of Polymers Polyimidea Parylene Cb PDMSc SU8d LCPe

    Precursor BPDA/PPD DPXC N/A N/A N/A

    Possible thicknesses (lm) 115 1100 10100 for

    spin coating

    1300 253000

    Density (g/cm3) 1.101.11 1.289 1.08 1.0751.238 1.4

    Viscosity (Pa s) 5 6 1 0.01400 0.0615

    Moisture absorption (%) 0.81.4 0.06 550 250 300315

    Glass transition temperature (C) 200210

    Thermal conductivity (W/cm K) 0.29 8.2 1525 0.0020.003

    Thermal coefficient of

    expansion (ppm/K)

    12 35 52 438

    Specific heat (107 cm2/s2 K) 1.13

    Specific resistivity (Xcm) > 1016 >1016 1015 7.8 1014 1 1013

    Disruptive strength (V/cm) 1.510s 2.6106 2000 >4 105 4.7 106

    Dieletric coefficient er 3.5 (at 1 kHz) 3.1 (at 1 kHz) 2.63.8 (at 50 Hz) 3.2 (at 10 MHz) 3 (at 1MHz)

    Loss factor tan d 0.0013 (at 1 kHz) 0.019 (at 1 kHz) 0.0020.02 (at 50 Hz) 0.02 (at 1 MHz)

    Tensile strength (MPa) 392 69 6.2 60 182

    Tensile module (MPa) 8830 20 0.10.5 20 10,600

    Elongation (%) 30 200 600 4.86.5 3.4

    USP class VI VI VI

    a UBE UVarnishS.31

    b PCS Parylene C.32

    c NuSil MED1000.33

    d MicroChem SU8 2000 & 3000 Series.34,35

    e Vectra MT1300.36

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    electrical insulation but also handling properties and manu-

    facturing technologies to obtain the desired feature sizes,

    thicknesses and mechanical performance, which is often a

    compromise between strength to withstand the implantation

    process and the flexibility to prevent damage of the target

    tissue. This section presents those polymer materials that

    have been already established in many clinical applications

    or in research developments and serve as carrier or as insu-lation material for neural implants.

    Polyimide

    Polyimides are a branch of commercial available polymers

    most widely used in various aspects of microelectronics and

    also, within the last 30 years, in biomedical applications.

    Generally used as an insulation or passivation layer, poly-

    imides provide protection for underlying circuitry and metals

    from effects such as moisture absorption, corrosion, ion

    transport, and physical damage. Furthermore, it acts as an

    effective absorber for alpha particles that can be emitted by

    ceramics, and as a mechanical stress buffer.30 Key properties

    are: thermoxidative stability, high mechanical strength, high

    modulus, excellent insulating properties, and superior chemi-

    cal resistance (for values see Table 1). Typically, polyimides

    are available as photo-definable and nonphoto-definable ver-

    sions whereas photo-definable polyimides tend to have a

    higher moisture uptake that limits their use in vivo; the lat-

    ter will therefore not be discussed further.37 Synthesis of

    polyimides is achieved by adding a dianhydride and a dia-

    mine into a dipolar aprotic solvent (like N,N-dimethylaceta-

    mide or N-methylpyrrolidinone) which rapidly forms poly

    (amic acid) at room temperatures. This precursor of polyi-

    mide can be easily stored, shipped or used to form thin

    films, coatings and fibers. Conversion of poly(amic acid)s to

    the designated polyimides is most commonly performed by

    thermal imidization. For wafer level manufacturing, thisinvolves spin-coating of the precursor onto the wafer, which

    specifies the thickness of the layer, a prebake at modest tem-

    perature (120 C) to drive the solvent partly out of the

    layer, which makes it more sticky, and a curing step at high

    temperature (350 C) in nitrogen atmosphere.38 Metal can

    be deposited afterwards onto the polyimide by various

    means, for example, vapor deposition or sputtering, and

    encapsulated by a second layer of polyimide. Using reactive

    ion etching (RIE) with oxygen, the polyimide-metal-poly-

    imide stack can be patterned and electrodes and/or inter-

    connection sites opened. The resulting devices can be peeled

    off the wafer using tweezers. Overall, processing polyimides

    is similar to conventional microelectronic processes, yieldinglow production costs, high pattern accuracy and high

    repeatability.

    Although polyimide, especially the BPDA/PPD type [see Fig.

    1(b)] which is most often used as biomaterial and commer-

    cially available under the trademark of DuPonts PI2611 or

    UBEs U-Varnish-S, is not certified according to the aforemen-

    tioned ISO 10993, various groups have proven its biocompat-

    ibility, low cytotoxicity and low hemolytic capacity, both for

    bulk materials39 and long-term implanted electrodes.40 Exist-

    ing applications are manifold and include peripheral nervous

    system (PNS) and central nervous system (CNS) implementa-

    tions, such as cuff and intrafascicular electrodes or shaft and

    ECoG electrodes, respectively (see Classification of Neural

    Interfaces and PNS Interfaces section). Devices made of

    polyimide have elicited only mild foreign body reactions in

    several applications in the peripheral and central nervous

    system showing good surface and structural biocompa-

    tibility.4144 They have proven to be biostable and functionalfor months in chronic in vitro and in vivo studies.24,45

    PDMS

    Since Kipping in 1904 assigned the name silicone to the

    group of synthetic polymers whose backbone is made of

    repeating silicon to oxygen bonds and methyl groups, this

    material and its applications have flourished. It is probably

    the most widely used material among the synthetic polymers

    for biomedical applications today. Later, a more specific no-

    menclature was developed and the basic repeating unit

    became known as siloxane and the most common silicone is

    polydimethylsiloxane or PDMS [see Fig. 1(c)]. Since the

    methyl groups can be substituted by a variety of othergroups, for example, phenyl, vinyl or trifluoropropyl, ena-

    bling the linkage of organic groups to an inorganic backbone,

    silicones can be prepared with combinations of unique prop-

    erties. They are used for example, as insulators in electron-

    ics, as moulds in semiconductor manufacture, as sealants or

    adhesives in the construction industry, as well as in numer-

    ous pharmaceutical and medical device applications.46 Their

    key-features for use in biomedical applications include physi-

    ological indifference, excellent resistance to biodegradation

    and ageing, and high biocompatibility (for values see Table

    1). A further significant property is the high permeability to

    gases and vapors that is about 10-fold when compared to

    natural rubber, while acting as ion barriers. A previous bio-

    durability study showed no changes in the material pro-

    perties after 2 years of implantation in test and control

    specimens, and no evidence of biodegradation could be

    detected.47 Furthermore, implants utilizing silicone encapsu-

    lation such as the Brindley bladder stimulator have already

    been in clinical use since the 1970s and proved to be stable

    over a period of about 25 years in vivo, after which the sili-

    cone rubber was reported to become more brittle.7,48 Sili-

    cones can be processed either by spin-coating, resulting in

    thinner film thicknesses, or by molding techniques, which

    enable their use in a variety of applications. In biomedicine,

    PDMS is usually used as encapsulation and/or as substrate

    material. When encapsulating a device for use in vivo, special

    attention should be paid to a number of aspects such as theadhesion of silicone to bulk material and void free deposi-

    tion and curing of the silicone rubber, since these will signifi-

    cantly contribute to osmotic reactions occurring when sili-

    cone is immersed into ionized water (e.g., the body

    environment).4952 As substrate material, PDMS is often

    spin-coated to achieve a defined and uniform layer. In a next

    step, a patterned metal foil is placed onto the uncured sili-

    cone rubber and a second PDMS layer is spin-coated on top.

    After curing, the polymer-metal-polymer stack can be pat-

    terned by laser ablation, wet or dry etching; all techniques

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    have their specific pros and cons.5355 Photo-definable PDMS

    is also available but not in implantable grades.

    Common biomedical applications include cardiac pace-

    makers, cuff and book electrodes in the PNS, and cochlear

    implants, bladder and pain controllers, and planar electrode

    arrays in the CNS. Many of these systems are commercially

    available and found in common clinical settings (for an over-

    view see e.g., ref. 2). PDMS is one of the most successful

    polymers since it results in only mild foreign body reactions

    (as cured material in active implants), is extremely stable

    and keeps its flexibility. It is an excellent insulator and has

    clinical approval according to USP class VI for unrestricted

    use in chronic implants. Process technology is well estab-

    lished for various manufacturing technologies.

    Parylene

    Parylene is the common name for polyparaxylylene (PPX),

    a group of linear, noncross-linked and semicrystalline poly-

    mers, which belong to the thermoplasts. Since the discov-

    ery of the manufacturing process in the mid 20th century,

    more and more parylene types have been developed, that

    differ only slightly in their properties. Parylene layers are

    deposited in a vapor deposition polymerization56 process,

    using the dimer of the adequate parylene type as starting

    substance. This dimer is heated up until it vaporizes and

    later on splits into a monomeric gas. When the gas reaches

    the deposition chamber, it cools down and polymerizes on

    the target. This deposition process allows a conformal coat-

    ing of the target from all sides and even sharp edges and

    crevices under components are covered.5759 Typical layer

    thicknesses reach from a few hundred nanometers until

    several micrometers, depending on the coating machine.

    The deposited layers are compatible to MEMS processing

    and can be structured by reactive ion etching.

    Parylene C [poly(dichloro-p-xylylene), Fig. 1(a)] is the most

    popular parylene type for the use in biomedical applications,

    due to the well suited combination of electrical and barrier

    properties. It is used as substrate6062 or encapsulation6367

    material for many kinds of biomedical microdevices. Its good

    biocompatibility68 (FDA approved, USP class VI), chemically

    and biologically inertness, good barrier properties, slippery

    surface and its functionality as an electrical insulator predes-

    tines parylene C for the use as substrate or encapsulation

    material for implanted neural prostheses.

    In recent years another parylene type called parylene HT

    arose, which has similar properties, but can withstand highertemperatures. The first electrode arrays using parylene HT

    as substrate material, have already been produced.69

    Parylene C has been established as one of the encapsulation

    materials for chronic implants due to the aforementioned

    properties and due to its approval as material for unre-

    stricted use in implants. However, due to our own experi-

    ence, the handling properties of thin sheets of parylene C

    are not as good as those of polyimide in comparable thick-

    ness. The material is more fragile and is not as strong and

    robust, for example, in substrate integrated microelectrode

    arrays. Its advantage, however, is the deposition technology

    at room temperature that does not interfere with connection

    and assembling technologies.

    LCP

    Liquid crystal polymers (LCPs) represent a separate material

    class among the polymers. They are built up of rigid and

    flexible monomers which are linked to each other, and hence

    they can organize in aligned molecule chains with a crystal-

    like spatial regularity. The main properties of LCPs are high

    mechanical strength at high temperatures, extreme chemical

    resistance, low moisture absorption and permeability, and

    good barrier properties for other gases.

    Originally, LCP was used as a high-performance thermoplas-

    tic material for high-density printed circuit boards fabrica-

    tion and semiconductor packaging. Today, many different

    types of LCPs are available, including LCPs which are spe-

    cially designed for use in medical engineering (FDA

    approved, USP class VI). Commercial LCP material is sup-

    plied in sheets with predefined thickness from 25 lm to 3

    mm. These sheets are melt-processible and can be structured

    by laser machining and reactive ion etching. LCPs are not yet

    widely-used in biomedical applications, but some first

    approaches to use LCPs for the fabrication of flexible elec-

    trode arrays have been developed.70

    LCPs were promised to become the new shooting star in

    neural interfaces due to the low water uptake and the manu-

    facturing technology. However, the enthusiasm of the first

    scientific presentations has not been transferred to many

    groups. Results from chronic in vivo studies have to show

    first, if the promised performance can be achieved and if the

    results are better than with already established materials.

    SU-8

    SU-8 is a multicomponent photoresist, based on epoxy SU-8

    resin including a photo-acid generator (PAG) compound and

    FIGURE 2 A general classification of electrodes to interface

    with the peripheral and central nervous system regarding inva-

    sivity and selectivity. The actual selectivity depends on the ana-

    tomical and physiological environment and their respective

    applications.

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    incorporated solvent. It has interesting properties, which

    make it a very attractive material for a wide range of appli-

    cations including micromachining, micro-optics, microfluidics,

    and packaging. SU-8 is highly transparent for wavelengths

    >400 nm and is chemically and mechanically stable (see Ta-

    ble 1).71 The photoresist is commonly exposed with conven-

    tional UV radiation, although i-line (365 nm) is the recom-

    mended wavelength. Upon exposure, cross-linking proceedsin two steps: first, formation of a strong acid during the ex-

    posure step, followed by a second, an acid-catalyzed, ther-

    mally driven epoxy cross-linking during the postexposure

    bake.34,35 The oligomer is depicted in Figure 1(d), the eight

    functional groups allow for high degrees of cross-linking af-

    ter photo-activation.72 An additional hard bake can further

    cross-link the imaged SU-8 structures and therefore improve

    the sidewall smoothness and mechanical stability.73

    Biocompatibility tests were performed by different groups

    using a baseline battery of ISO 10993 physiochemical and

    biocompatibility tests and found minimal irritation after one-

    and 12-week implantation periods in rabbit muscles, as well

    as after a 54 week implantation in rats. Cytotoxicity showed

    a reactivity less than grade 2 (mild reactivity) and no steam

    or gamma sterilization-induced damage was observed.74,75

    However, due to the complex nature of biocompatibility, it

    cannot be concluded that SU-8 meets all specifications neces-

    sary to meet the full ISO 10993 requirements for implants.

    In biomedical applications, SU-8 is commonly used as a sub-

    strate material, for example, in shaft electrodes for CNS

    interfaces due to its improved flexibility compared to sili-

    con,76 as a guiding structure for regenerating axons in sieve

    electrodes,77 as a wave-guiding core in electrodes for optical

    stimulation,78 and as a microfluidic channel in multimodal

    electrodes that have the capacity to deliver for example,

    pharmaceuticals next to electrical stimulation or recording.79

    SU-8 might be an alternative material to silicon. It is biocom-

    patible and the processing costs are cheaper compared to

    the relatively expensive silicon micromachining. However,

    since no microelectronic circuitry can be integrated, it has to

    prove superior performance at the material-tissue interface

    to become a real competitor to already established silicon

    shaft electrodes.

    INTERFACES

    Classification of Neural Interfaces

    Neural interfaces and implants are used for many applica-

    tions in the human body and can be manufactured frommany different materials. Although there are a huge variety

    of types of implants and interfaces, they can be divided up

    into various categories, with some similarities and differen-

    ces between them. One immediate feature that many have in

    common is design of cables of packages for electronics and

    batteries. In this section, we will focus on the neuro-techni-

    cal interface itself. One system for classifying implants, intro-

    duced earlier in this review, is whether the implants are

    used to target the central nervous system (CNS) or periph-

    eral nervous system (PNS). In general, approaches for CNS

    and PNS are different since brain structures need different

    access methods than nerve bundles in the periphery. How-

    ever, there is a general tendency in both:43 greater spatial se-

    lectivity requires a higher level of invasiveness (Fig. 2). The

    question to select an adequate interface always should be:

    Which selectivity do I need for the intended use of my target

    specification and which degree of invasivity is adequate? In

    other words: Is the benefit of the implant large enough thatI can justify the risk of possible damage due to the implanta-

    tion? Detailed solutions to interface technical devices with

    the CNS and PNS at different levels of invasivity will be dis-

    played in the following sections.

    Since we like to focus on materials that are flexible instead

    of stiff, to better match the mechanical properties of nerv-

    ous tissue, we do not describe wire or silicon based neuro-

    technical interfaces (for an overview, see e.g., ref. 80) but

    focus on polymer materials. These polymer materials have

    been selected in a way that they adapt to the shape of the

    neuronal target tissue as well in the PNS as in the CNS and

    follow motions of the tissue in the micro as well as in the

    macro scale. They are the enabling materials to manufacture

    electrode arrays, either in small or large scale. All of the

    applications that are presented below have shown that the

    interfaces are only little reactive due to material and shape,

    that is only mild foreign body reactions could be observed

    and are stable over the implantation periods. A lot of care

    has been taken in all designs and developments to find the

    optimal shape of the implantable nerve interfaces to

    reduce the risk of device failure due to tethering forces as

    well as the damage of the target tissue due to clumsy

    designs. However, this expert knowledge cannot be trans-

    ferred in simple design rules but is a long process of

    continuous exchange and communication with the end user

    in experimental neuroscience and clinical research andapplications.

    PNS Interfaces

    In the following, a brief overview of interfaces to contact

    with the peripheral nervous system is given. To stay consist-

    ent with Figure 2, the different interfaces will be explained

    in order of increasing invasiveness, from low to high. Since a

    large variety of approaches emerged over the last few deca-

    des, it is not the intention of the authors to provide a com-

    plete list of interfaces, but rather to present the key

    approaches and concepts underlying electrode design and

    manufacture. For more details see references 8184.

    Extraneural cuff electrodes are commonly made out of PDMS[Fig. 3(a)] or polyimide, and encircle the nerve com-

    pletely.86,87 Hence, the invasiveness is limited to the prepara-

    tion of the nerve, which itself stays untouched. Cuff electro-

    des contain a number of electrode sites on the inner surface

    facing the nerve and have been investigated over decades

    and have finally been transferred into clinical applica-

    tions.88,89 Despite their advantages of simplicity of handling

    and the ability to stimulate and record general activity from

    the outer parts of the nerve, they still have a number of limi-

    tations. Firstly, their selectivity is limited to subgroups and

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    superficial fibers in the nerve. Secondly, the nerve can be

    damaged due to micromotion of the electrode array, espe-

    cially in peripheral nerves of the limbs.83 To achieve a better

    selectivity Tyler and Durand designed a variation of the cuff

    electrode that slowly penetrated the epineurium, loose con-

    nective tissue that is placed between and around nerve bun-

    dles, without compromising the perineurium. Thus, the elec-

    trode sites are placed within the nerve trunk but outside the

    nerve fascicles. The slowly penetrating interfascicular nerve

    electrode (SPINE) achieves this aim through blunt elements

    extending radially into the lumen of a PDMS tube that enclo-

    ses the nerve.90 However, after histological evaluation it was

    shown that the shape of the nerve was actually deformed

    from an elliptical shape into a flatter ribbon like shape giving

    access to deeper fascicles, that is nerve bundles that are sur-

    rounded by the perineurium of the nerve. From these

    results, a new electrode design was extracted, the flat inter-

    face nerve electrode (FINE), which reshapes the nerve into a

    more electrically favorable geometry [Fig. 3(b)]. Since this

    reshaping requires the slow application of a relatively high

    force, only moderate flattening of the nerve is possible with-

    out inducing nerve damage.91,92 Recently, Schiefer et al.

    implanted a multicontact FINE in the femoral nerve of

    humans and showed high selectivity in restoring knee

    FIGURE 3 PNS interfaces. (a) Tripolar cuff electrode made of PDMS;85 (b) flat-interface nerve electrode (FINE) From Tyler et al.,

    IEEE Trans Neural Syst Rehabil Eng, 2002, Vol. 10, 294303, VC 2010 IEEE; (c) polyimide based longitudinal intrafascicular electrode

    (LIFE) From Farina and coworkers, Am Physiol Soc, 2008, Vol. 104, 821827, reproduced by permission; and (d) transversal intra-

    fascicular multichannel electrode (TIME).

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    extension and hip flexion by functional electrical stimulation

    at least in an acute experiment.93

    Penetrating electrodes comprise the next level of invasive-

    ness. Intrafascicular electrodes are placed within a distinct

    fascicle in the nerve and have direct contact to the targeted

    fibers and are, hence, more invasive than extraneural electro-

    des. The placement of the contact sites increases the signal-

    to-noise ratio (SNR) of recordings and enhances stimulation

    and recording selectivity. Stimulation of targeted fascicles

    can be achieved with little cross-talk to adjacent fascicles

    while complete recruitment of the nerve fascicle is possible

    with low stimulation intensities. The longitudinal intrafascic-

    ular electrode (LIFE) and the transversal intrafascicular mul-

    tichannel electrode (TIME) are the most recent examples

    [Fig. 3(c,d)]. Both designs implement polyimide substrates

    and platinum metal tracks and active sites. As the names

    suggest, LIFEs are implanted longitudinally within individual

    nerve fascicles whereas TIMEs are implanted transversally

    through the designated nerve and fascicles.44,94 Since TIMEs

    penetrate the whole nerve and, thus, contact more fascicles

    on its way, they are expected to have a higher selectivity

    than LIFEs but comparative studies are not available yet.

    FIGURE 4 CNS interfaces. (a) FLEXeas cochlear electrode by MED-EL VC MED-EL Elektromedizinische Gera te GmbH; (b) parylene

    based retina electrode array From Rodger et al., Sens Actuators B: Chem, 2008, Vol. 132, 449460, VC Elsevier, reproduced by per-

    mission; (c) silicone based book electrode;85 (d) polyimide based 252-channel epicortical array (by courtesy of B. Rubehn); (e) poly-

    imide based shaft electrode From Mercanzini et al., Sens Actuators A: Phys, 2008, Vol. 143, 9096, VC Elsevier, reproduced by

    permission.

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    Rossini et al. implanted LIFEs for 4 weeks in the median and

    ulnar nerves of humans and reported reproducible and local-

    ized hand/finger sensation while stimulating and stable

    selective recordings.95

    If the nerve is already severed, for example, after an amputa-

    tion trauma, regenerative electrodes can be applied. Sieve

    like electrodes made of polyimide incorporate multiple via-holes and electrodes through which regenerating axons are

    coaxed to grow through. These electrodes have shown good

    long term in vivo stabilities and a decent regeneration of

    axons.40,96 Recent approaches facilitate a three-dimensional

    electrode that has a guidance structure, made out of SU-8 or

    polyimide, through which regenerating axons should grow.

    These guidance structures are in principal channels that can

    be filled with nerve growth factor or other bioactive solu-

    tions and can even incorporate electric active sites which

    enable additional recordings.97,98 Although a high degree of

    selectivity can be achieved, sieve electrodes require the

    transection and regeneration of nerves, and thus can only be

    ethically applied in already transected nerves. Moreover,time is needed for the regenerating axons to grow through

    the structure, thus, precluding acute experiments.

    Summarizing the results of different PNS nerve interfaces,

    we can conclude that PDMS with embedded metal tracks

    and electrodes is superior when low integration density and

    medium size implants have to be developed that need to be

    robust in first place. Microsystem technologies using poly-

    imide as substrate material is only advantageous and benefi-

    cial if extremely small structures and large scale integration

    is required. In these cases the approach is mandatory and

    justifies the longer development time and the higher devel-

    opment and manufacturing costs.

    CNS Interfaces

    Neural interfaces to the central nervous system have a vari-

    ety of applications. Depending on function and implantation

    site, implant requirements and properties are different, and

    thus many different electrode designs exist. However, two

    general concepts developed over the last decades: precision

    mechanics implants with metal sites and wires encapsulated

    in PDMS and micromachined approaches with silicon as bulk

    material to manufacture multiple shafts in a single device

    that look like a brush or a nail bed. Depending on implanta-

    tion site and application these implants have different shapes

    and numbers of electrode sites. The most common known

    and well established neural implant is the cochlear implant

    (CI). These systems are commercial available (MED-EL,

    Vienna, Austria; Cochlear, Lane Cove, Australia; Advanced

    Bionics, Valencia, California; Neuroelec, Vallauris, France) and

    are now implanted for about 30 years. The neural interface

    of such a system is a multichannel electrode [Fig. 4(a)] that

    is inserted into the scala tympani of the cochlea. Due to

    the special shape and the fragile structure of the cochlea,

    the electrodes have to be flexible, and hence they are

    made of soft materials such as silicone rubber99101 or

    polyimide.102,103 Todays research mainly focuses on achiev-

    ing a higher selectivity and hence better hearing

    quality.13,104,105

    Another well known application for interfacing with the CNS,

    despite still being in the research and development phase, is

    the restoration of vision. Experiments in the late 1960s and

    early 70s demonstrated that blind humans can perceive elec-

    trically elicited phosphenes in response to ocular stimula-

    tion, with a contact lens as a stimulating electrode,106 sev-

    eral groups worldwide work on the development of either

    epiretinal prostheses17,69,107114 with implantation of the de-

    vice into the vitreous cavity on the retinal surface or subreti-

    nal prostheses115120 with implantation of the prosthesis in

    the potential space between the neurosensory retina and the

    retinal pigment epithelium. It is obvious that for a retina

    implant no stiff and bulky substrate or housing materials

    can be used, due to the limited space and the shape of the

    implantation site. The use of polymers for the stimulating

    electrode arrays is more or less obligatory. Generally they

    are made of silicone,108 polyimide,17 parylene C110 or a com-

    bination of them. Figure 4(b) shows a parylene-based micro-

    electrode array with 1024 stimulating sites (60 of them con-nected), developed by Rodger et al.,69 that was chronically

    implanted for 6 month onto the retina of canines. The pre-

    ceding array with 16 stimulation sites, embedded into sili-

    cone rubber, was already implanted up to 18 month into

    three patients with retinitis pigmentosa,111 which were able

    to perform simple visual tasks better than before

    implantation.

    Interfacing the optical nerve is the most invasive approach to

    restore sight. There, silicone cuff electrodes are used,121123

    which are similar to those, which are used to interface the PNS

    (see PNS section). But due to the high risk during surgery and

    the poor resolution, interfacing the optical nerve is not the

    first choice to restore vision. The visual cortex is also used asinterface for vision prostheses either using polymer coated

    wires or silicon microneedles as implants (for a review, see

    ref. 1). Since we like to focus on flexible polymer based neural

    implants, we do not describe this exciting research here.

    Another site of the CNS that is possible to interface is the

    spinal cord. In the 1980s, Brindley introduced a sacral ante-

    rior root stimulator for bladder control in paraplegia, with

    book electrodes [Fig. 4(c)] as neural interface.124 These elec-

    trodes entrap the sacral roots and are made of silicone rub-

    ber. Until 1994, 500 patients received this implant system.125

    Silicone rubber electrodes are used until today to interface

    the spinal cord, but researchers also developed electrodes,

    using other polymer materials like parylene as substrate ma-

    terial.69 However, clinicians have learned to handle the sili-

    cone based electrodes in the spinal canal and implants have

    shown excellent performance with respect to long-term sta-

    bility. Therefore, evolutionary developments seem to have a

    higher success rate to get transferred into clinical practice

    than new revolutionary designs in which stability, perform-

    ance and side effects are not clear.

    A much wider field of applications offers the direct contact-

    ing of brain tissue. To interface the brain, two completely

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    different electrode designs are possible. The first and less

    invasive possibility is the use of epicortical electrode arrays.

    These are two-dimensional electrode arrays which can be

    placed epidurally or subdurally on the cortex. They have to

    adapt to the anatomical structure of the cortex, making poly-

    mers necessary as substrate material. The first arrays were

    made of silicone rubber and were used for stimulating the

    visual cortex126 or recording for localizing epileptogenic

    foci.127 Today silicone rubber arrays are commercial avail-

    able (e.g., Ad-Tech Medical Instrument Corporation, Racine,

    WI) for the use in clinical practice to locate the seizure focus

    during the presurgical diagnosis of epilepsy.128 To obtain a

    higher spatial resolution, researchers try to scale down the

    electrode diameters and pitches and to scale up the amount

    of recording/stimulating sites. This is feasible with MEMS

    technology using polyimide as substrate material.129134 Fig-

    ure 4(d) shows a 252-channel polyimide-based electrode

    array, which was implanted onto the visual cortex of a mon-

    key,134 and was after 4.5 month still able to record signals.

    In all epicortical electrode arrays the flexibility of the mate-rial and the interface is the most important property. Me-

    chanical strength of the implant is important only during the

    implantation procedure. Afterwards, supporting substrate

    structures could be dissolved, for example bioresorbable silk

    fibroin, as recently proposed by Kim et al.135

    Generally, epicortical electrodes record local field potentials,

    but depending on the application, a higher selectivity is

    required. This is possible with a more invasive approach,

    more precisely the use of penetrating electrodes, which are

    directly inserted into the cortex. To be able to penetrate the

    brain tissue, a certain stiffness of the electrode shaft is

    required. Therefore, iridium wires, tungsten wires or silicon

    shafts were used over a long time period and polymers likeparylene C or polyimide served as insulating material.65,136139

    But stiff silicon shafts cannot adapt to the mechanical condi-

    tions of the brain tissue and, hence, micromotion of the

    brain, due to breathing and the heart beat, constantly injures

    the brain tissue. For this reason, researchers are currently

    trying to develop penetrating electrodes using more flexible

    materials like polyimide [Fig. 4(e)], parylene C, SU-8 or benzo-

    cyclobutene (BCB).6062,139147 However, the use of flexible

    substrate materials is accompanied by further challenges. It

    is difficult to insert flexible probes into the cortex and hence

    several approaches to overcome this problem were devel-

    oped, like bending the electrode shafts,148 coating or filling

    the shafts with degradable/dissolvable materials,

    61

    partlyattaching a silicon backbone layer,142,143 or using an inser-

    tion shuttle149 to make the shafts stiff enough for insertion

    and flexible enough to decrease the tissue damage.

    The discussion with its accompanying hypotheses how stiff

    electrodes should be for intracortical implantation to elicit

    minimum tissue reaction in chronic implantation is still not

    finished. Implants need either certain stiffness or adequate

    tools to get inserted into the brain. Coating might be benefi-

    cial but should be either stable over time or resorbable with-

    out eliciting additional adverse reactions. Nowadays, there

    are not yet enough data acquired to take the final decision

    which path has to be followed to get the best intracortical

    interface. More research has to be done before these intra-

    cortical microstructures are mature enough to be transferred

    into clinical applications.

    From Interfaces Towards Active Implants

    Neural implants interconnect a neuro-technical interface (theelectrode array) with electronics and energy supply. Reliable

    implants with market approval for chronic implantation ei-

    ther place the electronics and battery in a hermetic package

    or consist of hermetically sealed components that are encap-

    sulated in a nonhermetic coating.150 Even though neural

    implants have different designs on the interface part, the

    concepts and paradigms for hermetic packages are very simi-

    lar. Most packages consist of metal (titanium) or ceramic

    (alumina) packages with a very limited number of hermetic

    feedthroughs that interconnect the electronic circuitry

    inside the package with the electrodes and sometimes a coil

    for energy supply and data transmission outside the package.

    Polymer materials are widely used as final encapsulation

    and material-tissue interface but they are not applicable as

    hermetic encapsulation since all polymers are NOT hermetic

    according to the definitions in international standards. The

    established and proven technologies are sufficient for the

    established neural implant applications. Nevertheless, more

    sophisticated feedthroughs and packaging techniques to-

    gether with reliable hybrid assembly techniques have to be

    developed to accept the challenges of high channel implants

    for vision prostheses or brain-machine interfaces with antici-

    pated 1000 channels and the biological space restrictions in

    the eye and the brain. Furthermore, much time, effort and fi-

    nancial resources are necessary to transfer a device from the

    actual proof of concept to an approved and certified biomed-

    ical product, which is accepted by physicians and patientsalike. In the case of the cochlear implant, there was a period

    of 15 years between the first clinical trial and the accep-

    tance according to NIH guidelines.151

    CONCLUDING REMARKS

    Polymers have been the enabling material to develop and

    produce the vast majority of neural-technical interfaces that

    exist today. The ability of certain polymers to adapt to the

    conditions of the surrounding tissue is crucial to manufac-

    ture stable interfaces that can work reliably over many years

    without harming the body. The success stories of cochlear

    implants, bladder management systems or epicortical elec-

    trode arrays for epilepsy management, which are all com-mercial available systems and are already used in clinical

    practice, show that polymers can fulfill these requirements.

    PDMS is the most successful material and proved to combine

    only little tissue reactivity with excellent long term stability

    and reliability. In combination with precision mechanics for

    packages, cables and electrode sites, neural implants have

    predicted lifetimes close to the life expectancy of humans.

    Unfortunately, the technology has reached its limit of com-

    plexity and further miniaturization and integration density is

    hard to overcome with existing concepts and philosophies.

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    Fabrication technologies for polymers to produce interfaces

    with high counts of electrodes within limited space (and

    thus high selectivity) are available. The materials, however,

    have never been in a chronic implantation in a large number

    of patients, so far. The main challenge is still to avoid the

    hydrolytic, oxidative and enzymatic degradation due to the

    harsh environment of the human body or at least to slow it

    down to a minimum which enables the interface to workover a long time period, before it finally has to be exchanged.

    Therefore, it is mandatory to carefully select the appropriate

    materials, keeping in mind that each application has its own

    specific requirements. Materials like polyimide show promis-

    ing results but no company is on the market that is currently

    willing to deliver materials with the certificates that are rec-

    ommended from the national authorities for its use in medi-

    cal devices. Without this approval according to national or

    international standards, the most adequate materials from

    a technical and practical standpoint are precluded due to

    legal and economic reasons. In addition, micromachining

    technologies that allow large scale integration of electrodes

    often use much thinner layers as clinically establishedimplants. The stability of polymer insulation materials as

    well as on electrical interconnects and electrodes -aspects

    that have been intentionally neglected in this review- have

    to fulfill higher standards to survive the same implantation

    time; degradation as well as corrosion rates must be orders

    of magnitudes lower than in precision mechanics implants

    since we start with material thicknesses in the nanometer

    and micrometer range. Nevertheless, since the list of appro-

    priate polymers is constantly increasing and possibilities to

    manufacture tailor-made surfaces that further enhance the

    materials behavior become more suitable, it seems feasible

    that long lasting polymer interfaces beyond PDMS will be

    available in the near future.

    ACKNOWLEDGMENTS

    Part of the work has been funded by the German Federal Minis-

    try of Education and Research (BMBF) in the Bernstein Focus

    Neurotechnology Freiburg/Tubingen: The Hybrid Brain

    (grant no. 01GQ0830) and by the European Union in the 7th

    Framework Program (grant CP-FP-INFSO 224012/TIME) for

    the TIME project (Transverse, Intrafascicular Multichannel

    Electrode system for induction of sensation and treatment of

    phantom limb pain in amputees). The authors thank Ben Town-

    send and Martin Schuettler for their constructive criticism

    regarding this manuscript.

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