應(yīng)yl7703永利官網(wǎng)宋倫繼教授邀請(qǐng)，美國阿拉巴馬大學(xué)數(shù)學(xué)系趙山教授將于2023年7月4日作線上學(xué)術(shù)報(bào)告。

報(bào)告題目：Regularization methods for the Poisson-Boltzmann model with piecewise or heterogeneous dielectric functions

時(shí)間：2023年7月4日（周二） 上午10:00

地點(diǎn)：城關(guān)校區(qū)理工樓 518報(bào)告廳

摘要：Calculations of electrostatic potential and solvation energy of macromolecules are essential for understanding the mechanism of many biological processes. The classical sharp interface Poisson-Boltzmann (PB) model treats the solute molecule and its surrounding solvent as piecewise constant dielectric media, while the recently developed Gaussian PB models capture the atomic details by using atom-specific heterogeneous dielectric values. In all PB models, a significant numerical challenge is due to singular charge sources in terms of Dirac delta distributions. To overcome this difficulty, various regularization methods have been developed to analytically capture the solution singularities in the sharp interface PB model. Recently, we have compared four such regularization schemes in terms of accuracy and efficiency. More recently, we have developed the first regularization method for the PB models with diffuse interface or super-Gaussian dielectric functions, in which a dual decomposition is proposed for potential and dielectric functions. Most recently, we have investigated the convergence of the PB model when the diffused Gaussian-convolution surface (GCS) approaches to the sharp solvent accessible surface (SAS). Due to the limitation in numerical algorithm and mesh resolution, such a convergence is impossible to be realized numerically. Through analysing the weak solution for the regularized PB equations, the convergences for both potential and energy are rigorously proved. This convergence study enables us to unify the regularization for all PB models.

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個(gè)人簡介

趙山教授于1997年在蘭州大學(xué)數(shù)學(xué)系畢業(yè)取得學(xué)士學(xué)位, 2003年在新加坡國立大學(xué)計(jì)算科學(xué)系取得博士學(xué)位。2003年至2006年他在美國密歇根州立大學(xué)進(jìn)行博士后研究。2006年開始在美國阿拉巴馬大學(xué)(University of Alabama)數(shù)學(xué)系任助理教授(tenure-track)，于2012年取得終身教職(tenured) 和副教授，于2015年提前晉升為數(shù)學(xué)系正教授。趙山教授已指導(dǎo)了10名博士研究生和3名博士后。

他在分子生物學(xué)，計(jì)算電磁學(xué)，工程計(jì)算等交叉學(xué)科開展了包括數(shù)學(xué)建模，數(shù)值分析，和算法創(chuàng)新在內(nèi)的一系列基礎(chǔ)研究工作，已做出很多受到國際同行認(rèn)可的創(chuàng)新性學(xué)術(shù)成就。他現(xiàn)已發(fā)表了70余篇SCI 雜志論文，其中一篇于2020年榮獲世界華人數(shù)學(xué)家聯(lián)盟(ICCM)最佳論文若琳獎(jiǎng)。根據(jù)Google Scholar索引，他的論文被同行引用了超過2500次。趙山教授的研究得到了美國國家科學(xué)基金長年的連續(xù)資助，一共主持過六項(xiàng)科研項(xiàng)目。趙山教授擔(dān)任多家國際期刊的責(zé)任編委，編委，或客席編委，他也曾為50多家國際期刊擔(dān)任論文評(píng)審人。趙山教授的更多資料可在他的個(gè)人主頁找到: http://szhao.people.ua.edu/。

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