Carter Lyons

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This paper discusses how to pose an initial value problem (IVP) ordinary differential equation (ODE) y = F (t, y); y(t 0) = y 0 , where F : R n → R n in such a way that a modification of Picard's method will generate the Taylor series solution. We extend the result to the IVP partial differential equation (PDE) We discuss how to use the method to determine(More)
The effect of bone matrix age on the recruitment and differentiation of osteoclast precursors was studied using the chick chorioallantoic membrane (CAM) implant system. Devitalized mineralized bone particles (75-250 microns) were prepared from human femoral cortical bone obtained postmortem from 8 men (age range: 18-72 years). The particles were implanted(More)
In Part 1 of this study, the forces and torques exerted on metallic spine implants by a 0.3-T magnetic field were evaluated using a cantilever system sensitive to forces as low as 250 mg and torques as low as 4 g/cm. Results indicated that the 0.3-T magnification field did not cause forces or torques that could be measured within this range. It is concluded(More)
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