Nonlinear system dynamics of calcium and nitric oxide due to cell memory and superdiffusion in neurons  

作　　者：Anand Pawar Kamal Raj Pardasani 

机构地区：[1]Department of Mathematics,Bioinformatics and Computer Applications,Maulana Azad National Institute of Technology,Bhopal-462003,Madhya Pradesh,India

出　　处：《Communications in Theoretical Physics》2024年第5期16-32,共17页理论物理通讯（英文版）

摘　　要：The integer-order interdependent calcium([Ca^(2+)])and nitric oxide(NO)systems are unable to shed light on the influences of the superdiffusion and memory in triggering Brownian motion(BM)in neurons.Therefore,a mathematical model is constructed for the fractional-order nonlinear spatiotemporal systems of[Ca^(2+)]and NO incorporating reaction-diffusion equations in neurons.The two-way feedback process between[Ca^(2+)]and NO systems through calcium feedback on NO production and NO feedback on calcium through cyclic guanosine monophosphate(cGMP)with plasmalemmal[Ca^(2+)]-ATPase(PMCA)was incorporated in the model.The Crank–Nicholson scheme(CNS)with Grunwald approximation along spatial derivatives and L1 scheme along temporal derivatives with Gauss–Seidel(GS)iterations were employed.The numerical outcomes were analyzed to get insights into superdiffusion,buffer,and memory exhibiting BM of[Ca^(2+)]and NO systems.The conditions,events and mechanisms leading to dysfunctions in calcium and NO systems and causing different diseases like Parkinson’s were explored in neurons.

关 键 词：[Ca^(2+)]and nitric oxide signaling reaction-diffusion equations fractional-order systems Grunwald approximation Gauss-Seidel iterations 

分 类 号：Q189[生物学—神经生物学] O175[生物学—普通生物学]