A model analysis of the affect of slow ion channels in muscle stiffness
| Project/Area Number |
14550061
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Toho University |
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Principal Investigator |
TERADA Kazuko Toho University, Medicine, Lecturer, 医学部, 講師 (10217424)
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| Project Period (FY) |
2002 – 2004
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| Project Status |
Completed (Fiscal Year 2004)
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| Budget Amount *help |
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2004: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2003: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2002: ¥1,800,000 (Direct Cost: ¥1,800,000)
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| Keywords | the Hodgkin-Huxley equations / muscle / channelopathy / nonlinear dynamical Systems / bifurcation / transient activity / repetitive firing / myotonia / イオンチャネル疾患 / 分岐 / トランジェント / 発火 / 強直 |
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| Research Abstract |
In some cases of myotonia, one of the ion channel diseases, i.e. channelopathies, muscle stiffness lasts rather long, and in some other cases, it ceases quickly. The former cases are well described by the Hodgkin-Huxley equations for muscle fibers (denoted HHM below), as we have shown before. The ever-lasting myotonia corresponds to the periodic solutions in HHM.
The purpose of our study is to clarify how the short stiffness, the latter cases occur.
Bifurcation phenomena of HHM for mammalian are investigated by the theory of nonlinear dynamical systems and numerical calculations.
The bifurcation phenomena of HHM with chloride conductance and some parameters of sodium channel characteristics as bifurcation parameters are analyzed and the affect of the complex eigenvalues of the equilibrium points are examined, first. Former studies on the Hodgkin-Huxley equations for nerve (denoted just HH below) show when the slow sodium channel are added to the original HH, the periodic solutions are replaced by transient activity of three or four firing in some parameter range. Although we constructed the HHM with slow sodium channel next, we can not derive the same phenomena as the nerve. Physiological studies imply the importance of calcium-dependent channels. So we set of calcium-dependent sodium channels in HHM. However, we could not see the short-range firings. Further study in parameter values of HHM will be done.
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Report
(4 results)
Research Products
(14 results)
