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Articles in PresS. Am J Physiol Heart Circ Physiol (January 10, 2014). doi:10.1152/ajpheart.00760.2013

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Title: Mechanisms of Cardiac Conduction: A History of Revisions Authors: Rengasayee Veeraraghavan Ph.D,1 Robert Gourdie Ph.D,1,2 Steven Poelzing Ph.D1,2 Affiliations: 1 Virginia Tech Carilion Research Institute, and Center for Heart and Regenerative Medicine, Virginia Polytechnic University, Roanoke, VA 2 School of Biomedical Engineering and Sciences, Virginia Polytechnic University, Blacksburg, VA

Short Title: Cardiac Conduction

21 22 23 24

Address correspondence to: Steven Poelzing, Ph.D. Virginia Tech Carilion Research Institute 2 Riverside Circle Roanoke, VA 24016 TEL: (540) 526-2108 FAX: (540) 985-3373 e-mail: [email protected]

Copyright © 2014 by the American Physiological Society.

2 Mechanisms of Cardiac Conduction: A History of Revisions

25 26 27

Abstract

28

Cardiac conduction is the process by which electrical excitation spreads

29

through the heart, triggering individual myocytes to contract in synchrony.

30

Defects in conduction disrupt synchronous activation and are associated with life-

31

threatening arrhythmias in many pathologies. Therefore, it is scarcely surprising

32

that this phenomenon continues to be the subject of active scientific inquiry. Here

33

we provide a brief review of how the conceptual understanding of conduction has

34

evolved over the last century and highlight recent, potentially paradigm-shifting

35

developments.

36 37

Background

38

Cardiac conduction is the process by which electrical activation is

39

communicated between myocytes, triggering their synchronous contraction.

40

Impulses originating in the sinoatrial node spread to the atria and via the

41

specialized His-Purkinje conduction system to the ventricles. The sequence of

42

activation thus achieved is key in translating the lengthwise contraction of

43

individual myocytes into the complex three-dimensional pumping motion of the

44

heart.

45

It is well established that aberrant ventricular conduction is associated with

46

a high risk of sudden cardiac death, presumably due to ventricular

47

arrhythmias.(67)

The

prevention

of

arrhythmias

caused

by

conduction

3 48

abnormalities remains a topic of intense research in part because there are many

49

factors that are thought to govern cardiac conduction. This review will focus on

50

canonical determinants of conduction -- cellular excitability, gap junctions and

51

tissue architecture in the context of the historical development of the theoretical

52

understanding of conduction in the ventricular myocardium. Additionally, long

53

theorized and new experimental evidence will be discussed concerning

54

alternative modes of action potential propagation from myocyte-to-myocyte.

55 56

The study of conduction

57

Dr. Theodor Wilhelm Engelmann is credited with determining in 1875 that

58

electrical activity in strips of frog atrial muscle spread through muscular

59

tissue.(27) It took 39 years before the first direct measurements of cardiac

60

conduction velocity were reported, when Dr. Thomas Lewis and his colleagues

61

first quantified the velocity of cardiac conduction from canine myocardium.(61)

62

Conduction velocity is still the primary metric for quantifying the spread of

63

electrical activity in cardiac muscle in part because of its conceptual simplicity

64

and the ease of measuring the time it takes for the electrical wavefront to travel a

65

known distance. More importantly, velocity as a metric of conduction has yielded

66

insights into the mechanisms of electrical activity spread, as conduction velocity

67

is not uniform in all directions from the point of stimulation. This issue of

68

direction-specific conduction spread has provided the foundation of scientific

69

inquiry and debate. But before researchers could even begin to understand the

70

biophysical mechanisms governing cardiac conduction velocity, they first had to

4 71

determine what caused the action potential, and to do that, the determinants of

72

tissue excitability had to be understood.

73 74

Tissue excitability

75

The definition of the term excitability has evolved with our understanding

76

of the mechanisms underlying this phenomenon. For the purpose of this review,

77

it is convenient to think of excitability in terms of the probability that a propagated

78

action potential will be triggered in response to some quantity of charge entering

79

a cell over a period of time. In neurons, Drs. Wallace Fenn and Doris Cobb(28)

80

suggested in 1936 that a propagated action potential was caused by sodium ions

81

entering an excitable cell and depolarizing the membrane. Subsequently, and

82

perhaps more famously, Drs. Alan Lloyd Hodgkin, Andrew Huxley and Bernard

83

Katz published a series of manuscripts on the topic of neuronal excitation.(39-46)

84

Finally, Drs. Alan Lloyd Hodgkin and Paul Horowicz demonstrated that

85

excitability in cardiac myocytes is based on similar mechanisms of sodium

86

entry.(38) These early studies, demonstrated that sodium conductance through

87

the cell membrane is very low when the cell is electrically quiescent, but

88

increases dramatically during the depolarization phase of the action potential.

89

These and other findings prompted Hodgkin and Huxley to suggest that there

90

may be specialized “pores” or channels through which Na+ permeates the cell

91

membrane.(44) In 1964, Dr. Toshio Narahashi and colleagues reported on the

92

sodium current blocking properties of tetrodotoxin,(72) and the use of

93

pharmacological blockers to elucidate properties of the sodium current began in

5 94

earnest. This line of investigation culminated in the landmark 1976 paper by Drs.

95

Erwin Neher and Bert Sackmann’s, in which currents were recorded from single

96

ion channels,(73)

97

voltage-gated sodium current (Nav1.5)(30) responsible for depolarizing the

98

preponderance of cardiac myocytes. Overall, it is now well-accepted that sodium

99

channel availability is an important determinant of cellular excitability.(95)

and finally, the identification of the cardiac isoform of the

100 101

Potassium Channels and Excitability

102

Potassium channels provide outward current that acts to set the resting

103

membrane potential and repolarize the membrane when it is depolarized. Thus,

104

these channels shape the action potential after the upstroke and their relevance

105

to conduction has been thought to be limited to an influence on resting

106

membrane potential. Under pathological conditions such as following ischemia,

107

changes in resting membrane potential are determined by potassium currents,

108

particularly the inward-rectifier current IK1 and the ATP-sensitive potassium

109

current IKATP. Since the resting membrane potential is a key determinant of

110

sodium channel availability, potassium currents have a significant influence on

111

conduction under such conditions. However, in recent years it has been

112

demonstrated that modulating potassium currents can also affect conduction

113

velocity and its dependence on the sodium current, independent of changes in

114

resting membrane potential: Partial inhibition of IK1 can speed up conduction

115

under normal physiological conditions but not when sodium channel availability is

116

compromised.(119) On the other hand, pharmacological activation of IKATP and

6 117

the slow component of the delayed-rectifier potassium current IKs both slow

118

conduction under normal physiological conditions; however, only the latter slows

119

conduction when sodium channel availability is reduced.(118) Overall, these

120

findings suggest that modulating voltage-dependent K+ currents affects

121

conduction independent of Na+ channel availability, whereas modulating K+

122

currents that do not display voltage-dependent kinetics only affect conduction

123

when Na+ channel availability is not reduced.

124

Further, ongoing studies suggest a co-dependence between the

125

membrane expression levels of inward rectifier potassium channels (Kir2.1) and

126

sodium channels (Nav1.5).(68) An additional line of evidence suggesting an

127

interrelationship between the two channel types comes from the recently

128

identified long QT syndrome type 9, where mutations in the scaffolding protein

129

caveolin-3 was associated with alterations in the biophysical properties of both

130

Kir2.1 and Nav1.5 channels. It is therefore likely that potassium channels will

131

continue to be a significant area of research focus in coming years.

132 133

Early Revisions and Models of Conduction

134

Cable Theory

135

In 1952 Dr. Silvio Weidmann demonstrated that electrical communication

136

between cardiac myocytes could be described using a theory first developed in

137

the 19th century by William Thomson (aka Lord Kelvin) to account for the

138

transmission of electrical signals through a transatlantic telegraph cable.(113,

139

114) Importantly, the application of what is known as cable or the continuous

7 140

core conductor theory supposes that myocardial tissue is a syncytium coupled

141

through purely resistive pathways. While the theory was initially applied to

142

understand action potential propagation through nerves, which are readily

143

conceived as a core of conductive material surrounded by a non-conductive

144

sheath, Weidman extended these treatments to understand electrical impulse

145

propagation

146

structure.(124)

through

cardiac

Purkinje

fibers,

which

are

cable-like

in

147

Briefly, for a fiber of radius a with intracellular resistance per unit length ri

148

and extracellular resistance per unit length re bounded by a membrane with

149

resistance per unit length rm and capacitance per unit length cm, the

150

transmembrane potential vm is can be described by:

151 rm ∂ 2 v m ∂v − c m rm m − v m = 0 2 ri + re ∂x ∂t

152 153 154

By extension, it was demonstrated that conduction velocity is related to ri and re

155

by:

156 157

θ=

k ri + re

158 159

where k is a constant representing membrane properties.(101) In the heart, ri and

160

re are determined by various anatomical structures that compose the electric

161

current path inside, outside and between myocytes.

8 162 163

Gap junctions

164

Up until 1954, many theorized that cytoplasmic continuity between

165

myocytes, but then Drs. Fritiof S. Sjostrand and Ebba Andersson showed by use

166

of electron microscopy that myocytes are fully bounded by a membrane.(96)

167

Therefore, the physical nature of electrical connectivity between cells remained

168

speculative. In the 1960’s, Dr. Lloyd Barr demonstrated the existence of low

169

resistance pathways between cardiac myocytes(5, 21), which he termed the

170

nexus. These structures have come to be known more widely as gap junctions,

171

the name having been coined by Drs. Milton W. Brightman and Thomas S.

172

Reese in 1969.(10)

173

Since their discovery, gap junctions have been intensely studied, with over

174

14,000 publications in the literature as of 2013. Each gap junction channel

175

consists of two hexameric connexon hemichannels, each in turn composed of 6

176

molecules from the connexin protein family.(97)

177

connexins 40, 43 and 45 are expressed(8, 9, 53) (122) which have different

178

conductances, permeabilities and cardiac tissue-specific expression patterns(15,

179

35). Further, different connexin isoforms can combine to form heterotypic and

180

heteromultimeric gap junctions which demonstrate composition-dependent

181

properties.(25, 69) However, the situation in mammalian ventricular myocardium

182

is somewhat simplified by the fact that it predominantly expresses connexin 43

183

(Cx43). Moreover, in the ventricle of humans, and many other mammals, Cx43 is

In the heart, three isoforms

9 184

almost exclusively localized to the intercalated disks(34). Thus myocytes are

185

coupled by gap junction channels in primarily end-to-end fashion.(49)

186

Since the majority of early conduction measurements in myocardial tissue

187

were performed macroscopically on Purkinje fibers, which resemble a cable, it is

188

unsurprising that cable theory continued to fit the available data well. To

189

reconcile the discovery of gap junctions with what appeared to be continuous

190

conduction, many deemed gap junctional conductance to be sufficiently high as

191

to render the cytoplasms of coupled myocytes electrically contiguous.(123, 125)

192

Gap junctional conductance was therefore, often incorporated into the

193

intracellular resistance term ri.

194 195

Anisotropic conduction

196

Although thought to be a true syncitium through the first half of the 20th

197

century, ultrastructural studies in the 1950s revealed the cellular nature of

198

cardiac muscle.(78, 81, 96) Atrial and ventricular myocardium came to be seen

199

as brick-wall-like structures composed of myocytes 100-150µm long and 10-

200

20µm wide.(19) Therefore, cardiac tissue is anisotropic, with lengthwise

201

orientation of cardiac myocytes and predominantly end-to-end gap junctional

202

coupling(49). This tissue architecture suggests that cardiac conduction should be

203

different parallel to the long axis relative to the short axis of myocytes. Drs. J.

204

Walter Woodbury and Wayne E. Crill showed in the late 1950’s that myocardium

205

exhibited a direction-dependent spatial decay of current injected into a point of

206

myocardium, with the longest decay, or space-constant, occurring parallel to the

10 207

long axis of moycytes and the shortest decay occurring perpendicular to

208

myocytes.(16) Continuous cable theory was quickly updated to 2 and 3-

209

dimensional models of anisotropic tissue to incorporate the vectors of directional

210

resistivity both inside (ri) and outside (re) cells.(50, 74, 75) From here, these

211

models as a group came to be referred to as ‘bidomain models’ and predicted

212

that cardiac conduction velocity in 2- and 3- dimensional tissue should be

213

anisotropic. By assuming that cardiac myocardium is a continuous but

214

anisotropic medium, Dr. L. Clerc demonstrated that conduction velocity parallel

215

and transverse to fibers is predicted by an inverse square relationship to total

216

axial resistance, similar to what would be anticipated from cable theory.(12)

217

Microelectrode recordings of conduction velocity from multiple sites of myocardial

218

tissue agreed well with these mathematical treatments, and therefore, anisotropic

219

conduction was linked to fiber orientation.(22, 93) In this context, it is important to

220

note that the continuous anisotropic resistivity envisaged by bidomain models is

221

a theoretical approximation. In tissue, end-to-end contacts between myocytes

222

can mediate both longitudinal and transverse coupling patterns.

223 224

Discontinuous Conduction

225

As technology improved to allow for electrical measurements at greater

226

spatial and temporal resolution, studies in the 1970’s revealed yet more

227

complications with the understanding of cardiac conduction. Were the

228

myocardium to behave as a syncytium, the time constant of slow depolarization

229

preceding sodium channel activation (τfoot) should depend on only axial and

11 230

membrane resistance and therefore, be independent of conduction velocity (θ).

231

The model also predicted that the maximal rate of rise of the transmembrane

232

potential (dV/dtmax) should depend only on sodium channel availability; therefore,

233

faster conduction should be associated with a larger dV/dtmax.(100) However,

234

ground-breaking microscopic measurements made by Dr. Madison Spach and

235

colleagues in both atrial and ventricular myocardium revealed a very different

236

picture: Longitudinal conduction, which is faster, was associated with a longer

237

τfoot and smaller dV/dtmax, relative to slower transverse conduction. (105, 106)

238

These experiments began to call into question the use of models based on

239

continuous cable theory to describe anisotropic conduction.

240

In order to explain these new discrepancies between measurements made

241

in tissue and those mathematically modeled, the concept of discontinuous

242

conduction was proposed since gap junctions may represent high resistance

243

pathways between myocytes, rather than the low resistance structures previously

244

assumed. In fact, direct measurements of gap junctional resistance revealed that

245

resistance at the intercalated disks is approximately equal to the axial resistance

246

of a myocyte.(87) Importantly, discontinuous conduction suggested that

247

conduction transverse to the myocyte axis might be slower and also more

248

discontinuous relative to conduction parallel to myocytes, and further

249

experimental evidence supported this assessment.(100, 106)

250

The development of discontinuous conduction theory needed to account

251

for a more complex type of axial resistance that included the following important

252

parameters. First, the mechanisms underlying the resistance of the intercalated

12 253

disks needed to be explored since the number and function of gap junctions can

254

dramatically affect gap junctional conductance. Second, a conduction wavefront

255

will encounter more discontinuities caused by gap junctions when it travels

256

transverse to myocytes relative to their longitudinal axis, as myocytes are shorter

257

than they are long. Since myocytes organize in a roughly brick-like structure in a

258

sheet or bundle, and the orientation of these sheets and bundles maintain a 3-

259

dimensional geometry that is optimized for the efficient propulsion of blood,

260

tissue geometry could not be treated as a simple 2 or 3-dimensional sheet. (101)

261

Case-in-point, myocyte orientation changes from the epicardium to the

262

endocardium,(60, 80, 110) and this complex rotational anisotropy has been

263

shown

264

conduction.(111)

to

produce

important

differences

when

measuring

cardiac

265 266

Contemporary Understanding of Anisotropic Conduction

267

Myocyte geometry

268

Cardiac myocytes do not maintain the same size and geometry over an

269

organism’s lifetime.(63, 103) Changes in cell size and composition can alter

270

cytoplasmic and extracellular resistances in direction-dependent manners

271

leading to altered conduction anisotropy(92, 106) (the ratio of longitudinal to

272

transverse conduction velocities). Once again, changes in myocyte geometry will

273

also alter the number of gap junctions encountered by the electrical wavefront

274

over a given distance.(58, 87, 89) Additionally, cellular hypertrophy over

275

postnatal life is accompanied by changes in GJ localization from uniform

13 276

distribution around the cell to predominantly intercalated disk localization(3, 36) -

277

further confounding the problem of understanding growth-related changes in

278

conduction.

279 280

It is noteworthy though that there remain open questions regarding the

281

relationship between cell size and conduction velocity. Some in silico studies

282

have suggested a positive correlation between cell size and conduction

283

velocity,(32, 103) while experiments in hypertrophied myocardium have

284

suggested a negative correlation between myocyte diameter and conduction

285

velocity.(65) A combined experimental and simulation study by Dr. Rob F.

286

Wiegerinck and colleagues found increased longitudinal, but not transverse

287

conduction velocity in failing rabbit hearts; however, the degree of increase was

288

insufficient to compensate for the increased path length resulting from

289

hypertrophy resulting in an increased total activation time.(126) To complicate

290

matters further, a recent study by Dr. Thomas Seidel and colleagues suggests

291

that myocyte shape may be as important as myocyte size, if not more so, with

292

respect to modulating conduction velocity in a predictable manner.(94)

293

It continues to be a challenge to understand the role that heterogeneous

294

cell geometry has on conduction in diseases such as cardiac hypertrophic

295

cardiomyopathy,(121) because these conditions often also affect the expression

296

and localization of membrane proteins, especially connexins. Additionally,

297

myocyte geometry can also change in the acute time scale in response to

298

ischemia(115) or osmolarity for example.(18)

14 299 300

Non-Myocytes

301

In addition to cardiac myocytes, the heart also consists of fibroblasts and

302

other non-myocyte cells. Indeed, these cells outnumber the myocytes although

303

the latter account for the majority of the heart's volume.(128) It has been

304

proposed that fibroblasts could influence cardiac conduction by either acting as

305

passive obstacles, or by coupling to myocytes and/or each other and acting as

306

either a current sink, or even participating actively in conduction. Additionally,

307

under pathophysiological conditions, fibroblasts can transform into myofibroblasts

308

which participate in inflammatory signaling and have also been proposed to

309

modulate conduction.(6) However, the extent to which fibroblasts and

310

myofibroblasts

311

myocardium remains a topic of ongoing inquiry.(51, 91, 127) For more detailed

312

discussion of the role of non-myocytes in conduction, the reader is referred to

313

reviews by Drs. Peter Kohl (55, 56) and Heather Duffy(6, 23).

electrotonically

couple

with

myocytes

in

the

ventricular

314 315

In the normal heart, fibroblasts are thought to provide structural support

316

directly, as well as by laying down the extracellular matrix.(6) However, under

317

pathophysiological conditions, excessive deposition of extracellular collagen can

318

occur, electrically isolating myocytes from each other, forming barriers to

319

conduction. Indeed, in an elegant study in aging human atrial fiber bundles, Dr.

320

Madison Spach demonstrated how collagenous septa deposited between

321

myocytes

create

a

tortuous

electrical

path

and

facilitate

reentrant

15 322

arrhythmias.(104) Likewise, in the ventricles, fibrosis can create resistive barriers

323

to conduction and act as an arrhythmogenic substrate. While a certain degree of

324

fibrosis occurs in aging hearts, it can be greatly exacerbated in a variety of

325

pathological conditions.(11, 33, 48)

326 327

Gap junctions

328

Given the role gap junctions play in electrically coupling myocytes, and

329

because they are remodeled so frequently in cardiac disease, they have received

330

the preponderance of experimental attention. While slowed conduction is well

331

correlated with an increased risk of arrhythmias, there is disagreement in the

332

literature concerning the relationship between the degree of gap junctional

333

uncoupling and conduction velocity changes. It is well established that

334

pharmacologically uncoupling gap junctions slows cardiac conduction.(57, 87,

335

88) With this observation comes an important experimental caveat: Most

336

manuscripts only report data from doses of gap junction uncouplers that

337

measurably slow conduction.(120) This binary data representation therefore

338

excludes the linear correlation between the degree of gap junction uncoupling

339

and conduction slowing – as well as non-specific (i.e., non-gap junction-related)

340

effects of the drugs. Importantly, pharmacologic gap junction inhibition studies

341

have provided sufficient evidence that gap junctions at the ends of myocytes

342

constitute the primary source of delay during microscopic conduction.(58, 89)

343

Thus, modulating gap junctional coupling preferentially impacts transverse

344

conduction velocity leading to altered anisotropy. (90, 92, 106)

16 345

Contrast pharmacologic gap junction manipulation with genetically

346

manipulating gap junction functional expression. There are a variety of studies on

347

cardiac conduction utilizing the same transgenic mouse lineage expressing 50%

348

of the wild-type levels of connexin43, the primary ventricular gap junction protein.

349

Some groups have reported significantly slowed conduction in mice with a 50%

350

reduction in Cx43 expression relative to wild-type mice,(26, 37) while others

351

could not measure a difference between them. (7, 17, 71, 109, 112, 116, 117)

352

These very basic studies are critically important to understanding cardiac

353

arrhythmias because gap junction remodeling is a hallmark of cardiac disease.

354

To make matters worse, in disease, the relationship between gap junction

355

remodeling and conduction is even less clear. For example, a reduction of total

356

Cx43 expression in a canine pacing induced heart failure model was associated

357

with aberrant ventricular conduction and increased arrhythmogenesis.(79) In a

358

similar model, gap junction remodeling (relocation) and conduction slowing

359

preceded loss of Cx43 expression.(2)

360

The phrase, “gap junctional remodeling” is a catchall term to describe

361

connexin redistribution at the cellular level, post-translational modification, and

362

total protein expression changes. While it has been demonstrated that cellular

363

redistribution of connexins to the lateral membrane is associated with altered

364

conduction, in hypertrophy for example, lateralization occurs concomitantly with

365

changes in myocyte geometry.(102) Whether or not lateralized Cx43 in the

366

pathological myocardium forms functional gap junctions remains an important

367

and complex question.(24) The connexin life-cycle is also dynamically regulated

17 368

by

a

variety

of

biochemical

pathways

including

phosphorylation

and

369

dephosphorylation of specific amino acid residues of the channel.(4, 82, 98, 99)

370

Therefore, gap junctions do not exist in isolation and are part of larger

371

macromolecular complexes and biological pathways.

372 373

Dynamic Determinants of Conduction:

374

In addition to the structural substrate, conduction is also modulated by

375

dynamic functional changes. Primarily, these dynamics result from the interplay

376

between the strength of the excitatory impulse - the source - and the electrical

377

load represented by the tissue it must excite - the sink. In the adult canine

378

ventricular myocardium, each myocyte is coupled to an average of 11±3 other

379

myocytes.(92) As an activation wavefront spreads through the myocardium, the

380

amount of source available per unit mass of tissue is determined by its

381

excitability whereas the balance between source and sink is determined by the

382

curvature of the wavefront and its interaction with the architecture of the

383

myocardium - intercellular coupling, fiber orientation, rotational anisotropy,

384

branching tissue geometry etc.(58, 88, 92, 106) Since local excitability in tissue is

385

dynamically modulated by changes in the shape and duration of action

386

potentials, mismatch between source and sink can arise locally and dynamically,

387

creating

388

Pathophysiological gap junction remodeling and fibrosis can exacerbate source-

389

sink mismatch and thereby the propensity for arrhythmias. For a more detailed

a

functional

substrate

for

arrhythmogenic

conduction

defects.

18 390

discussion of source-sink mismatch, the reader is referred to the in depth review

391

of electrotonic conduction by Drs. Andre Kleber and Yoram Rudy.(54)

392 393

Ion Channels at the Intercalated Disk: Functional Implications

394

The major impetus for reassessing our understanding of conduction arises

395

from structural insights into the subcellular localization of ion channels. In 1996,

396

Dr. Sidney A. Cohen published the first immunofluorescence images of rat TTX-

397

resistant sodium channels (rH1) demonstrating their strong localization at the

398

intercalated disk of cardiac myocytes.(13) While the importance of ion channels

399

at the intercalated disk has been long postulated as a mechanism of non-gap

400

junction mediated coupling, this work was mostly the domain of mathematical

401

models.(14, 59, 66, 70, 107, 108, 129) These models envision intercellular

402

coupling as occurring thusly: A depolarized myocyte withdraws sodium ions from

403

the restricted junctional cleft via its intercalated disk-localized Nav1.5 channels

404

(figure 1A). The resulting depletion of positive charge from the junctional cleft

405

would render the local extracellular electrical potential more negative.

406

Consequently, the transmembrane potential across the apposed membrane of

407

the neighboring myocyte becomes more positive, causing the activation of

408

Nav1.5 channels (figure 1B). Thus electrical activation is communicated from one

409

cell to another without the direct transfer of ions between them (figure 1C).

410

Dr. Nicholas Sperelakis is perhaps best known for championing these

411

mechanisms which he summarized in a 2002 review.(108) Later that year, Drs.

412

Jan P. Kucera, Stephan Rohr, and Yoram Rudy confirmed the presence of both

19 413

sodium channels and connexins at the intercalated disc.(59) More importantly,

414

they revised mathematical models of cardiac conduction in a one-dimensional

415

strand demonstrating that the high density of sodium channels at the intercalated

416

disk could impact cardiac conduction in previously un-appreciated ways.

417

Specifically, they concluded that gap junctions are still likely the principal

418

mechanism of electrical transmission between cells, but sodium channels at the

419

intercalated disk could modulate the conduction velocity - gap junction

420

relationship particularly if the space between the myocytes were very small and

421

densely packed with sodium channels.

422

Since then much evidence has been uncovered to support the existence

423

at the intercalated disk of a macromolecular complex containing the gap junction

424

protein Cx43, as well as cardiac sodium channels (Nav1.5). Indeed, Cx43 and

425

Nav1.5 were found to co-immunoprecipitate from mouse heart lysates(64) and

426

more recently to colocalize at the intercalated disk(76). Work from the group of

427

Dr. Mario Delmar has demonstrated that mechanical adhesion proteins first

428

localize to sites of cell-cell contact followed by recruitment of Cx43 gap junctions

429

and ankyrin-G, a sub-membrane adapter protein involved in localizing cardiac

430

sodium channels (Nav1.5) in the membrane.(31) Recent results from the

431

laboratory of Dr. Mario Delmar demonstrate a loss of Nav1.5 from the membrane

432

in conditional Cx43 knockout mice(52) and even suggest that Cx43 is important

433

for the recruitment of Nav1.5 channels into the membrane at the intercalated

434

disk.(1, 20)

20 435

In addition to sodium channels, evidence has also emerged placing

436

various potassium channel isoforms at the intercalated disk - specifically the

437

inward rectifier potassium channel (Kir2.1)(68), the ATP-sensitive potassium

438

channel (Kir6.2)(47), the delayed rectifier potassium channel (KvLQT1 encoded

439

by KCNQ1)(83) and the 'rapid' delayed rectifier potassium channel (Kv11.1

440

encoded by hERG)(130). As previously discussed, potassium channels can have

441

significant effects on conduction. Additionally, being localized at the intercalated

442

disk, they could also play a role in intercellular coupling via a potassium-

443

mediated ephaptic mechanism. Briefly, potassium efflux from a depolarized

444

myocyte could lead to a transient accumulation of potassium in the narrow

445

junctional cleft, causing the membrane of the neighboring myocyte to depolarize

446

via an inward potassium current.(108)

447

Although the presence of ion channels at the intercalated disk is

448

suggestive, the ephaptic coupling hypothesis has yet to be experimentally tested

449

in the heart. A key missing element has been the identification of a well-defined

450

structure that could serve as a functional unit of ephaptic coupling, an ephapse.

451

The localization of ion channels at the intercalated disk could have important

452

implications in this regard given the necessity of close apposition between

453

membranes of adjacent cells for ephaptic coupling.(62, 70) Taking the

454

experimental evidence together with predictions made by the models,

455

intermembrane spacing could be a key variable in identifying specific

456

microdomains within the intercalated disk that could function as an ephapse.

457

21 458

Interstitial Volume

459

As with any electrical circuit, one must not only consider electrical

460

conduction “forward” through the circuit, but also how the circuit is completed by

461

a current return path. In tissue, the return path can be the interstitial space

462

between the myocytes. At this point, it is useful to re-visit cable theory for a

463

moment, as there is no other mathematical theory that has been applied so

464

rigorously to cardiac conduction. Since myocyte geometry is anisotropic, the

465

interstitial space outside the cells is also anisotropic and can affect axial

466

resistance and thereby conduction in an anisotropic manner.(77, 101) Cable

467

theory-based models predict a direct proportionality between the volume of the

468

extracellular space and conduction velocity,32,81 and this has been experimentally

469

supported in the cable-like papillary muscle.(29)

470

However, one of our recent manuscripts provides evidence that

471

modulating the extracellular volume in a heart changes epicardial conduction in a

472

manner inconsistent with bidomain models of cardiac conduction that lack

473

ephaptic coupling.(120) Additionally, we demonstrated that small degrees of gap

474

junction uncoupling that did not alter conduction normally, significantly slowed

475

conduction when the interstitial space was increased. This study suggested that

476

the effects of small degrees of gap junctional uncoupling on cardiac conduction

477

can be unmasked by increasing the interstitial volume. What remains unknown

478

though is how increasing interstitial volume produces changes in cardiac

479

conduction inconsistent with bi-domain models.

22 480

As mentioned earlier, non-gap junction mediated coupling or "ephaptic"

481

coupling had been proposed by mathematical models, and the distance between

482

cells at the intercalated disk might be an important factor for mediating this type

483

of coupling. A candidate structure that could serve as a functional ephaptic unit

484

as definitive as a synapse or gap junction emerges from recent work by an

485

author of this review together with his colleague Dr. J Matthew Rhett. In these

486

studies a new feature of cardiac ultrastructure was described: The perinexus - a

487

juxta-gap

488

hemichannels wherein interaction between connexin43 and the cardiac sodium

489

channel (Nav1.5) occurs. Given the close (0-20 nm) apposition of membranes

490

from adjacent myocytes in the vicinity of the gap junction, the perinexus emerges

491

as a strong candidate structure for the cardiac ephapse.(84-86)

junction

membrane

microdomain

rich

in

undocked

connexin

492

As it stands, there is evidence from both experiments and mathematical

493

models to suggest that ephaptic coupling could be important to cardiac

494

conduction. While previously viewed as a possible alternative to electrotonic

495

coupling, ephaptic coupling has since come to be viewed as operating in tandem

496

with gap junctions, helping sustain conduction when gap junctional coupling is

497

compromised. To fully appreciate the role of ephaptic coupling, a multi-pronged

498

strategy will be necessary: a) Further whole-heart experiments will need to be

499

performed to generate additional examples of complex conduction; b) The

500

biochemical and functional ultrastructure of the ephaptic machinery will need to

501

be dissected by high resolution microscopic, molecular and physiological

23 502

methods and c) Multi-dimensional mathematical models will need to be revised to

503

incorporate ephaptic coupling and tested against the new experimental data.

504 505

Conduction: A new multi-factorial understanding

506

Like all science, the understanding of cardiac conduction has undergone

507

revisions and refinements over the last 130 years, and it appears that discoveries

508

will only continue to accelerate. The picture that is emerging though is that

509

cardiac conduction is not a simple phenomenon mechanistically determined by a

510

few independent biophysical parameters. Rather, cellular excitability, gap

511

junctional conductance, cell size, gap junction localization, sub-cellular

512

architecture, and ion channel localization are important and inter-related

513

determinants of the conduction phenomenon. While these factors were initially

514

studied vis-à-vis conduction in isolation using a reductionist approach, we are

515

beginning to appreciate that changes in one determinant can potentiate the

516

effects of altering another. This type of higher-level understanding of conduction

517

is critical for determining why certain therapies developed to treat conduction

518

defects are sometimes ineffective or even produce deleterious effects. While it

519

could be argued the inter-related nature and complexity of biological processes

520

means that we will never completely prevent conduction-related arrhythmias, we

521

would suggest that understanding the myriad factors underpinning conduction

522

could eventually provide individualized therapeutic targets that might provide for

523

improved treatment of patients suffering from disease of the heart.

524

24 525

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Figure legend

897

Figure 1: Schematic cartoon illustrating the mechanism of ephaptic coupling. A) Sodium

898

channels (shown in red) on the depolarized (green) myocyte's membrane activate and

899

withdraw sodium ions (Na+) from the restricted extracellular cleft at the intercalated disk.

900

As a result, the transmembrane potential (Vm,1) of the first myocyte is elevated. B) The

901

concomitant depletion of positive charge from the extracellular cleft lowers the local

902

extracellular potential (Φe). This leads to an increase in the second, resting (red)

903

myocyte's transmembrane potential (Vm,2) - defined as the difference between its

904

intracellular potential and the extracellular potential (Φe). In turn, sodium channels

905

located at or near the intercalated disk of the second myocyte activate. C) Sodium

906

enters the second myocyte via these channels further depolarizing it and triggering an

907

action potential. Thus activation is communicated 'ephaptically' from cell-to-cell without

908

the direct transfer of ions between them.

909

A) + +

+

+

+

+ +

+

+

+

+

+

+

+

+

+

+

+

+

+

+

Vm,2

Vm,1 B)

+

+ +

+ +

+ +

+

+

+

+

Vm,2

Vm,1 C) + +

Vm,1

+ +

+ +

+ +

+

+

+

+

Vm,2