The three-state model for the elementary process of energy conversion in muscle

Nishiyama, Kenichi; Shimizu, Hiroshi; Kometani, Kaoru; Chaen, Shigeru

doi:10.1016/0005-2728(77)90090-1

Cited by 18 publications

(7 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Models of group 2 cannot give the Nyquist plot composed of three arcs or the relation between power output and ATPase activity against the frequency of length change because, to explain the above experiments, it is not sufficient to assume the presence of only two states in crossbridges. Three arcs observed in Nyquist plots indicate the presence of at least three distinguishable processes at the molecular level; therefore, it is necessary to assume at least three kinds of mechanical states in the crossbridge and this is the reason why we adopted the three-state model of Nishiyama et al (1977).…”

Section: Discussionmentioning

confidence: 99%

“…They are modified with reference to previous papers (Nishiyama et al, 1977;Nishiyama & Shimizu, 1979, where 1981 including the property of skeletal muscle such as Hill's force-velocity relation and so on. Our major modification from previous studies (Nishiyama et al, 1977) concerns with the magnitude of the rate constants among the three states at Xl (the minimum position of potential Us). Their values are taken as: 250 s -s for k12 and k21 , 10 s 1 for k01 and k2o , and 1 s -1 for kl0.…”

Section: The Modelmentioning

confidence: 99%

“…The three-state model (Nishiyama et al, 1977), which assumes the presence of one detached and two attached states denoted by 0, 1 and 2 respectively, will be used in the following discussion; state 1 stands for a preactive state in which the crossbridge produces small tension and state 2 for an active one in which the crossbridge produces large tension. A cyclic transition among these states (0 ---* 1 --~ 2 --> 0) is considered to be coupled with the hydrolysis of one ATP molecule.…”

Section: The Modelmentioning

confidence: 99%

“…According to calculations similar to those by Nishiyama et al (1977), Equations 1, 2 and 3 were simultaneously solved using the computer at the University of Tokyo (Hitachi, M-280H). When the distributions are obtained, tension P(t) per crossbridge, the number of elementary cycles A(f) per crossbridge per unit time, and power output W(f) per crossbridge can be calculated:…”

Section: The Modelmentioning

confidence: 99%

“…On the other hand, to explain the mechanical properties of skeletal muscle such as Hill's forcevelocity relation and both isotonic and isometric transient phenomena, it is necessary to consider at least three states in the model (Hill, 1974;Julian et al, 1974;Nishiyama et al, 1977;Nishiyama & Shimizu, 1979. None of those to date have consistently predicted the oscillatory property.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

A three-state model for oscillation in muscle: Sinusoidal analysis

Murase

Tanaka

Nishiyama

et al. 1986

J Muscle Res Cell Motil

View full text Add to dashboard Cite

The crossbridge mechanism leading to oscillation in insect flight muscle is studied theoretically based on a three-state model proposed by Nishiyama et al. [Biochim. biophys. Acta 460, 523-36 (1977)]. Skeletal muscle as well as insect flight muscle shows. oscillatory contraction. We demonstrate this oscillatory contraction in muscle by choosing proper rate constants among the three states of the model. It is established that our model gives out not only Hill's force-velocity relation but also other mechanical properties of skeletal muscle. The model is then compared with two types of experiment by Kawai & Brandt [J. Musc. Res. Cell Motility 1, 279-303 (1980)] and by Steiger & Rüegg [Pflügers Arch. 307, 1-21 (1969)]. Kawai & Brandt obtained the Nyquist plot showing the relation between the phase shift and the amplitude of tension change in response to sinusoidal length changes at various frequencies. Steiger & Rüegg studied the power output and ATPase activity at various frequencies of the length change. Our theoretical results are in good agreement with the results of these two experiments. To determine the crossbridge mechanism which produces the positive power output, spatio-temporal crossbridge distributions in the three states are calculated. It is shown that, after the stretching phase of sinusoidal change in muscle length, the delayed rise of tension is caused by attachment of crossbridges to the active state via the preactive state while the delayed fall is caused by detachment from the active state after release. To obtain the oscillatory property it is not necessary to assume that stretch in muscle length increases the attaching rate as originally proposed by Thorson & White [Biophys. J. 9, 360-90 (1969)].

show abstract

Section: Discussionmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations