Huiqin Zhong, Ya Shao, Ling Fan, Tangshen Zhong, Lu Ren, Yan Wang
Perceived resource support for chronic illnesses among diabetics in north-western China
Frontiers of medicine
introduce weakform estimation nonlinear dynamics wendy method estimating model parameters nonlinear systems odes without relying numerical differential equation solvers wendy computes accurate estimates robust large biologically relevant levels measurement noise low dimensional systems modest amounts data wendy competitive conventional forward solverbased nonlinear least squares methods terms speed accuracy higher dimensional systems stiff systems wendy typically faster often orders magnitude accurate forward solverbased approaches core mathematical idea involves efficient conversion strong form representation model weak form solving regression problem perform parameter inference core statistical idea rests errorsinvariables framework necessitates use iteratively reweighted least squares algorithm improvements obtained using orthonormal test functions created set cinfinity bump functions varying support sizes demonstrate high robustness computational efficiency applying wendy estimate parameters common models population biology neuroscience biochemistry including logistic growth lotkavolterra fitzhughnagumo hindmarshrose protein transduction benchmark model software code reproducing examples available httpsgithubcommathbiocuwendy