菲茨休-南雲方程(Fitzhugh-Nagumo equation)是一個非線性偏微分方程,最早由理察·菲茨休(Richard FitzHugh)於1961年提出[1],描述了在高於閾值的常電流刺激下神經元動作電位的周期性振盪[2]。當時菲茨休將其稱為「朋霍費爾-范德波爾模型(Bonhoeffer-van der Pol model)」。次年,南雲仁一等人也提出了一個與該方程等效的電路[3]。該方程為霍奇金-赫胥黎模型(英語:Hodgkin-Huxley model)的二維情形[4];後者因揭示了槍烏賊巨大軸突中動作電位的產生和傳導機制而分享了1963年的諾貝爾生理學或醫學獎。
Griffiths, Graham. Traveling Wave Analysis of Partial Differential Equations : Numerical and Analytical Methods with Matlab and Maple.. Burlington: Elsevier Science. : 147-172. ISBN 9780123846532.
Nagumo, J.; Arimoto, S.; Yoshizawa, S. An Active Pulse Transmission Line Simulating Nerve Axon. Proceedings of the IRE. 1962-10, 50 (10): 2061–2070. doi:10.1109/JRPROC.1962.288235.
Griffiths, Graham. Traveling Wave Analysis of Partial Differential Equations : Numerical and Analytical Methods with Matlab and Maple.. Burlington: Elsevier Science. : 166. ISBN 9780123846532.
Griffiths, Graham. Traveling Wave Analysis of Partial Differential Equations : Numerical and Analytical Methods with Matlab and Maple.. Burlington: Elsevier Science. : 436. ISBN 9780123846532.