title: Channel based generating function approach to the stochastic Hodgkin-Huxley neuronal system.
abstract: Internal and external fluctuations, such as channel noise and synaptic noise, contribute to the generation of spontaneous action potentials in neurons. Many different Langevin approaches have been proposed to speed up the computation but with waning accuracy especially at small channel numbers. We apply a generating function approach to the master equation for the ion channel dynamics and further propose two accelerating algorithms, with an accuracy close to the Gillespie algorithm but with much higher efficiency, opening the door for expedited simulation of noisy action potential propagating along axons or other types of noisy signal transduction.
authors.affiliation: Department of Physics, Tsinghua University, Beijing 100084, China.|Collaborative Innovation Center of Quantum Matter, Beijing 100084, China.
authors.forename: Anqi
authors.initials: A
authors.lastname: Ling
authors.affiliation: Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China.
authors.forename: Yandong
authors.initials: Y
authors.lastname: Huang
authors.affiliation: Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China.
authors.forename: Jianwei
authors.initials: J
authors.lastname: Shuai
authors.affiliation: Department of Physics, Tsinghua University, Beijing 100084, China.|Collaborative Innovation Center of Quantum Matter, Beijing 100084, China.
authors.forename: Yueheng
authors.initials: Y
authors.lastname: Lan
mesh_terms: D000200:Action Potentials; D000465:Algorithms; D019295:Computational Biology / Q000379:methods*; D003198:Computer Simulation; D007473:Ion Channels / Q000378:metabolism*; D007700:Kinetics; D009474:Neurons / Q000502:physiology*
chemical_list: D007473:Ion Channels