Fractionally delineate the neuroprotective function of calbindin-Z?28fc in Parkinson's disease

作     者：Hardik Joshi Brajesh Kumar Jha 

作者机构：Department of Mathematics School of Technology Pandit Deendayal Petroleum University Gandhinagar Gujarat 382007. India 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2018年第11卷第8期

页      面：151-169页

核心收录：

学科分类：0701[理学-数学] 070101[理学-基础数学] 

主　　题：Calbindin-D28k Parkinson's disease calcium concentration fractionalCaputo derivative fractional approach 

摘      要：Neuron is a fundamental unit of the brain, which is specialized to transmit information throughout the body through electrical and chemical signals. Calcium (Ca2^+) ions are known as second messengers which play important roles in the movement of the neurotransmitter. Calbindin-D28k is a Ca2^+ binding protein which is involved in regulation of intracellular Ca2^+ ions and main tains homeos tasis level, it also alters the cytosolic calcium concentration ([Ca2^+]) in nerve cells to keep the cell alive. Parkinson s disease (PD) is a chronic progressive neurodegenerative brain disorder of the nervous system. Several regions of the brain indicate the hallmark of the PD. The symptoms of PD are plainly linked with the degeneration and death of dopamine neurons in the substantia nigra pars compacta located in midbrain which is accompanied by depletion in calbindin-Z?28fc - In the present paper, the neuroprotective role of calbindin-￡28fc in the cytoplasmic [Ca2^+] distribution is studied. The elicitation in [Ca2^+] is due to the presence of low amount of calbindin-D28k which can be portrayed and is a hallmark of PD. A one-dimensional space time fractional reaction diffusion equation is designed by keeping in mind the physiological condition taking place inside Parkinson s brain. Computational results are performed in MATLAB.