臺灣博碩士論文加值系統

針對離子通道，我們提出了量子校正的漂移擴散模型，並且轉換為自伴隨型式。模擬鉀和氯離子通過長度3.5 奈米的離子通道，比較其量子校正的漂移擴散模型和古典漂移擴散模型的差別，發現量子校正項對於電流和電壓有些微的影響。

A drift diffusion model coupled with the density gradient method as quantum mechanical corrections is proposed and numerically investigated for ionic channel. The model is completely self-adjoint for all state variables and hence provides many appealing mathematical features such as global convergence with simple initial guesses and highly parallelizable. Numerical simulations on K channel with the channel length 3.5 nm using this model have been performed and compared with that using the classical drift diffusion model. It is shown that the I-V characteristics of this ionic channel is corrected by the density-gradient equations with current drive reduced by about 6.6% comparing with that of the classical model along.

1 Introduction 1
2 Steady-state drift diffusion model 3
3 Quantum-corrected drift diffusion model 9
4 Numerical method for the DD and QCDD model 13
4.1 Discretization .......................... 13
4.2 Algorithm ............................... 17
5 Numerical results for the K channel 20
6 Conclusion 27

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