{"title":"A Model to Study the Effect of Na+ ions on Ca2+diffusion under Rapid Buffering Approximation","authors":"Vikas Tewari, K.R. Pardasani","country":null,"institution":"","volume":52,"journal":"International Journal of Chemical and Molecular Engineering","pagesStart":243,"pagesEnd":249,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/3266","abstract":"Calcium is very important for communication among\r\nthe neurons. It is vital in a number of cell processes such as secretion,\r\ncell movement, cell differentiation. To reduce the system of reactiondiffusion\r\nequations of [Ca2+] into a single equation, two theories\r\nhave been proposed one is excess buffer approximation (EBA) other\r\nis rapid buffer approximation (RBA). The RBA is more realistic than\r\nthe EBA as it considers both the mobile and stationary endogenous\r\nbuffers. It is valid near the mouth of the channel. In this work we have\r\nstudied the effects of different types of buffers on calcium diffusion\r\nunder RBA. The novel thing studied is the effect of sodium ions on\r\ncalcium diffusion. The model has been made realistic by considering\r\nfactors such as variable [Ca2+], [Na+] sources, sodium-calcium\r\nexchange protein(NCX), Sarcolemmal Calcium ATPase pump. The\r\nproposed mathematical leads to a system of partial differential equations\r\nwhich has been solved numerically to study the relationships\r\nbetween different parameters such as buffer concentration, buffer\r\ndisassociation rate, calcium permeability. We have used Forward\r\nTime Centred Space (FTCS) approach to solve the system of partial\r\ndifferential equations.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 52, 2011"}