A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues

作者：Srivastava V^*; Rai K N

来源：Mathematical and Computer Modelling, 2010, 51(5-6): 616-624.

DOI：10.1016/j.mcm.2009.11.002

• Capillary
• Fractional diffusion equation
• Modified Adomian decomposition method
• New iterative method
• Hypoxia

In this article, we propose a new mathematical model, namely a multi-term fractional diffusion equation, for oxygen delivery through a capillary to tissues. Fractional calculus is applied to describe the phenomenon of sub diffusion of oxygen in both transverse and longitudinal directions. A new iterative method (NIM) and a modified Adomian decomposition method (MDM) are used to solve the multi-term fractional diffusion equation for different conditions. The results thus obtained are compared and presented graphically. It is observed that the order of the diffusion equation affects the delivery of oxygen significantly.

• 出版日期2010-3