Magnetic potential and field gradients of a model cell

The magnetic potential within and outside a nucleated cell placed in a uniform magnetic field is described for a model consisting of two concentric diamagnetic spheres. The analytical description of the magnetic potential in and around a system consisting of a finite number of concentric diamagnetic spheres in a uniform magnetic field was derived. The solution was employed to calculate the field gradients outside and inside a model chicken red blood cell. The form and magnitude of the gradients provide a theoretical basis on which to discuss experimental results relating to the attenuation of signals obtained using proton nuclear magnetic resonance spectroscopy with chicken erythrocyte suspensions. The form of the magnetic field, field difference and field gradients in the external medium of a cell suspension was simulated for a distribution of spheres in a uniform magnetic field, such as might occur in an idealised dilute cell suspension.