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Physiology of Insect Flight Muscle

Full Article on Wiley Online Library



Abstract

The sections in this article are:

1 Design Parameters
1.1 Contraction Timing
1.2 Contraction Extent and Speed
1.3 Energy Storage
1.4 Energy Transduction
1.5 Interactions Between Factors
2 Flight Muscle Preparations
2.1 Intact Muscles
2.2 Demembranated Muscle
3 Oscillatory Response of Asynchronous Muscle
3.1 Full Mechanical Performance
3.2 Specification of the Mechanical Response
3.3 Simulation of the Mechanical Response
4 Myofibrillar Proteins
4.1 Proteins of the Thick Filament
4.2 Proteins of the Thin Filament
4.3 Z‐Line Proteins
4.4 Connecting Proteins
5 Macromolecular Assembly
5.1 Thick‐Filament Connections
5.2 Thick‐Filament Structure
5.3 Cross‐Bridge Interaction
6 Cause of Stretch Activation
6.1 Calcium Binding
6.2 Filament Match
6.3 Filament Strain
6.4 Evolution of Stretch Activation
7 Cross‐Bridge Mechanism
7.1 Mechanical Transients
7.2 Steady‐State Intermediates
7.3 Equilibrium States
8 Conclusions
Figure 1. Figure 1.

Schematic representation of evolutionary distribution of asynchronous flight muscles (shaded areas) within the order Hemiptera. Note that Aphidae and Psyllidae probably separated before asynchrony evolved and that fibrillar muscle also appears in the sound‐producing mechanism of certain Cicadidae.

Adapted from Cullen 33
Figure 2. Figure 2.

Methods of investigating mechanism of asynchronous muscle. A: operation in vivo: muscle pulls rhythmically on the thorax elastic cuticle and the distortion moves the wings up and down 87. B: same muscle detached from the thorax and attached to position sensor (S) that drives the vibrator (P) to resist motion in the muscle. By adjustment of the amplifier (A) characteristics the mechanical system can simulate any desired elasticity, viscosity, and inertia. Motor nerve to muscle is stimulated electrically, and when artificial viscosity is low the system vibrates in “free oscillation” 65. C: same muscle during driven oscillation. Position drive from S to P is adjusted to strongly resist any movement unless a further electrical signal is injected into P, when the fixed point of the system changes. Sinusoidal oscillation applied to amplifier (A) therefore imposes a sinusoidal length change on the muscle independent of the tension within it 66. D: demembranated muscle in an apparatus similar to that shown in C.

Adapted from Tregear 124
Figure 3. Figure 3.

A: relation between power output and ATPase in a bundle of demembranated oscillating Lethocerus flight muscle fibers. Effect of varying frequency of applied vibration is shown. B: linear relation between stiffness and tension during development of activation in isometric demembranated Lethocerus fibers. Activation by calcium (▪) or stretch (□). Relation between stiffness and tension extrapolates close to stiffness of muscle in relaxation (•). Stiffness was measured from tension change occurring during application of rapid change in length. [A, adapted from Steiger and Rüegg 118. B, adapted from White et al. 140.]

Figure 4. Figure 4.

Form of Lethocerus flight muscle mechanical response. A: tension response to abrupt stretch and release by 0.1% of muscle length. Note near‐exponential rise and fall of delayed tension after stretch and release. B: tension response (lower record) to a forced sinusoidal vibration of muscle (upper record). Response is specified by its gain (Go = R/ΔL) and phase (ϕ). At this frequency (5 Hz) muscle tension lagged behind length (L); thus ϕ was negative and work was done by muscle on apparatus.

Adapted from Tregear 124
Figure 5. Figure 5.

Search for linearity in mechanical response. Response of single Lethocerus flight muscle fiber to vibration of amplitude 0.02% (▵), 0.04% (▵), 0.8% (□), or 0.14% (▪). In these experiments the various Fourier components of mechanical response were separated. A: total distortion (d = Σi‐1n); summated gain of all except fundamental component. B: phase angle of fundamental component. C: gain of fundamental component (Go). All data are plotted against frequency of forced vibration. Note low values of A and constancy of B and C with amplitude at lowest values of this parameter, indicating linearity of muscle response.

Adapted from Cuminetti and Rossmanith 35
Figure 6. Figure 6.

Cross‐bridge models of mechanical response. A, actin; M, myosin; AM, actomyocin. A: 2‐state model. Attachment rate constant (f) is assumed to be proportional to muscle extension and detachment rate constant (g) to be independent of extension. Rate constant of delayed tension, r = f + g, and tension cost, c ∝ g. B: 4‐state model. Reactions 1 and 3 are rapid equilibria; reaction 4 is relatively slow and irreversible. [A, adapted from Thorson and White 120. B, adapted from Steiger and Abbott 117.]

Figure 7. Figure 7.

Diagrams illustrating interdigitation of filament lattices of adjacent sarcomeres within Z line. A: interdigitation of I filaments. B: superimposition of complete filament lattices of 2 sarcomeres. Open circles represent filaments from 1 sarcomere, closed circles from the next. Smaller circles represent I filaments, whose formation of hexagonal groups within Z line is indicated. Larger circles represent A filaments, whose relative position in their hypothetical extension into the Z line is thus illustrated.

Adapted from Ashhurst 12
Figure 8. Figure 8.

Diagram illustrating possible filament match in Lethocerus flight muscle. All diagrams are radial projections centered on axis of a single thick filament. A: actin envelope about 1 thick filament. Each thin filament is represented by vertical double line, and solid bars represent regions of thin filaments accessible to cross‐bridge attachment. B: lattice of cross‐bridge origins on thick‐filament surface. Each circle represents a single myosin molecule, bearing 2 potential cross bridges. C, D: extreme mismatch and match positions of arrays shown in A and B. The 2 diagrams differ only in vertical shift of A vs. B.

Adapted from Wray 146
Figure 9. Figure 9.

Pattern of cross‐bridge attachment to thin filaments of Lethocerus flight muscle in rigor (absence of nucleotide). A: thin longitudinal section of overlap zone through a plane connecting thin and thick filaments (cf. Fig. 7). Note angled chevrons crossing interfilament gap at 38‐nm intervals. Many of these chevrons appear double. (Original micrograph supplied by Dr. M. K. Reedy.) B: explanation of double‐chevron formation by restriction of rotation and axial range of the cross bridges. 1, Subunit azimuthal orientation of actin (øA) defined relative to interfilament axis; 2, axial displacement of cross bridge (R) at its contact with actin; 3, cross‐bridge attachment arrays for different degrees of rotational and axial freedom (cases b and f resemble Reedy's observations). C: explanation of double‐chevron formation by attachment of the 2 heads of 1 myosin molecule to adjacent thin filaments. 1, Angles of actin helix at which 2‐filament attachment is expected; 2, resultant longitudinal cross‐bridge array. [B, adapted from Haselgrove and Reedy 47. C, adapted from Offer and Elliott 85.]

Figure 10. Figure 10.

X‐ray diffraction from Lethocerus flight muscle in different steady‐state or equilibrium conditions. Intensities of various lattice‐sampled diffraction reflections are given as percentage of a particular reflection (4, 1 of the equator) in rigor. A: 2 major inner equatorial reflections that depend on movement of cross bridges between filaments. B: 14‐nm meridional reflection that arises from regularity of cross bridges on thick filament. C: 38‐nm layer‐line reflections. Most of the intensity of these reflections arises from regular attachment of cross bridges to thin filaments. The 2, 0 reflection is an exception; it is prohibited from the cross‐bridge attachment lattice by phase cancelation 51.

Adapted from Tregear et al. 126


Figure 1.

Schematic representation of evolutionary distribution of asynchronous flight muscles (shaded areas) within the order Hemiptera. Note that Aphidae and Psyllidae probably separated before asynchrony evolved and that fibrillar muscle also appears in the sound‐producing mechanism of certain Cicadidae.

Adapted from Cullen 33


Figure 2.

Methods of investigating mechanism of asynchronous muscle. A: operation in vivo: muscle pulls rhythmically on the thorax elastic cuticle and the distortion moves the wings up and down 87. B: same muscle detached from the thorax and attached to position sensor (S) that drives the vibrator (P) to resist motion in the muscle. By adjustment of the amplifier (A) characteristics the mechanical system can simulate any desired elasticity, viscosity, and inertia. Motor nerve to muscle is stimulated electrically, and when artificial viscosity is low the system vibrates in “free oscillation” 65. C: same muscle during driven oscillation. Position drive from S to P is adjusted to strongly resist any movement unless a further electrical signal is injected into P, when the fixed point of the system changes. Sinusoidal oscillation applied to amplifier (A) therefore imposes a sinusoidal length change on the muscle independent of the tension within it 66. D: demembranated muscle in an apparatus similar to that shown in C.

Adapted from Tregear 124


Figure 3.

A: relation between power output and ATPase in a bundle of demembranated oscillating Lethocerus flight muscle fibers. Effect of varying frequency of applied vibration is shown. B: linear relation between stiffness and tension during development of activation in isometric demembranated Lethocerus fibers. Activation by calcium (▪) or stretch (□). Relation between stiffness and tension extrapolates close to stiffness of muscle in relaxation (•). Stiffness was measured from tension change occurring during application of rapid change in length. [A, adapted from Steiger and Rüegg 118. B, adapted from White et al. 140.]



Figure 4.

Form of Lethocerus flight muscle mechanical response. A: tension response to abrupt stretch and release by 0.1% of muscle length. Note near‐exponential rise and fall of delayed tension after stretch and release. B: tension response (lower record) to a forced sinusoidal vibration of muscle (upper record). Response is specified by its gain (Go = R/ΔL) and phase (ϕ). At this frequency (5 Hz) muscle tension lagged behind length (L); thus ϕ was negative and work was done by muscle on apparatus.

Adapted from Tregear 124


Figure 5.

Search for linearity in mechanical response. Response of single Lethocerus flight muscle fiber to vibration of amplitude 0.02% (▵), 0.04% (▵), 0.8% (□), or 0.14% (▪). In these experiments the various Fourier components of mechanical response were separated. A: total distortion (d = Σi‐1n); summated gain of all except fundamental component. B: phase angle of fundamental component. C: gain of fundamental component (Go). All data are plotted against frequency of forced vibration. Note low values of A and constancy of B and C with amplitude at lowest values of this parameter, indicating linearity of muscle response.

Adapted from Cuminetti and Rossmanith 35


Figure 6.

Cross‐bridge models of mechanical response. A, actin; M, myosin; AM, actomyocin. A: 2‐state model. Attachment rate constant (f) is assumed to be proportional to muscle extension and detachment rate constant (g) to be independent of extension. Rate constant of delayed tension, r = f + g, and tension cost, c ∝ g. B: 4‐state model. Reactions 1 and 3 are rapid equilibria; reaction 4 is relatively slow and irreversible. [A, adapted from Thorson and White 120. B, adapted from Steiger and Abbott 117.]



Figure 7.

Diagrams illustrating interdigitation of filament lattices of adjacent sarcomeres within Z line. A: interdigitation of I filaments. B: superimposition of complete filament lattices of 2 sarcomeres. Open circles represent filaments from 1 sarcomere, closed circles from the next. Smaller circles represent I filaments, whose formation of hexagonal groups within Z line is indicated. Larger circles represent A filaments, whose relative position in their hypothetical extension into the Z line is thus illustrated.

Adapted from Ashhurst 12


Figure 8.

Diagram illustrating possible filament match in Lethocerus flight muscle. All diagrams are radial projections centered on axis of a single thick filament. A: actin envelope about 1 thick filament. Each thin filament is represented by vertical double line, and solid bars represent regions of thin filaments accessible to cross‐bridge attachment. B: lattice of cross‐bridge origins on thick‐filament surface. Each circle represents a single myosin molecule, bearing 2 potential cross bridges. C, D: extreme mismatch and match positions of arrays shown in A and B. The 2 diagrams differ only in vertical shift of A vs. B.

Adapted from Wray 146


Figure 9.

Pattern of cross‐bridge attachment to thin filaments of Lethocerus flight muscle in rigor (absence of nucleotide). A: thin longitudinal section of overlap zone through a plane connecting thin and thick filaments (cf. Fig. 7). Note angled chevrons crossing interfilament gap at 38‐nm intervals. Many of these chevrons appear double. (Original micrograph supplied by Dr. M. K. Reedy.) B: explanation of double‐chevron formation by restriction of rotation and axial range of the cross bridges. 1, Subunit azimuthal orientation of actin (øA) defined relative to interfilament axis; 2, axial displacement of cross bridge (R) at its contact with actin; 3, cross‐bridge attachment arrays for different degrees of rotational and axial freedom (cases b and f resemble Reedy's observations). C: explanation of double‐chevron formation by attachment of the 2 heads of 1 myosin molecule to adjacent thin filaments. 1, Angles of actin helix at which 2‐filament attachment is expected; 2, resultant longitudinal cross‐bridge array. [B, adapted from Haselgrove and Reedy 47. C, adapted from Offer and Elliott 85.]



Figure 10.

X‐ray diffraction from Lethocerus flight muscle in different steady‐state or equilibrium conditions. Intensities of various lattice‐sampled diffraction reflections are given as percentage of a particular reflection (4, 1 of the equator) in rigor. A: 2 major inner equatorial reflections that depend on movement of cross bridges between filaments. B: 14‐nm meridional reflection that arises from regularity of cross bridges on thick filament. C: 38‐nm layer‐line reflections. Most of the intensity of these reflections arises from regular attachment of cross bridges to thin filaments. The 2, 0 reflection is an exception; it is prohibited from the cross‐bridge attachment lattice by phase cancelation 51.

Adapted from Tregear et al. 126
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Richard T. Tregear. Physiology of Insect Flight Muscle. Compr Physiol 2011, Supplement 27: Handbook of Physiology, Skeletal Muscle: 487-506. First published in print 1983. doi: 10.1002/cphy.cp100116