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Full-Text Articles in Physical Sciences and Mathematics
A Logistic Model Of Periodic Chemotherapy, J. C. Panetta
A Logistic Model Of Periodic Chemotherapy, J. C. Panetta
Mathematics & Statistics Faculty Publications
A logistic differential equation with a time-varying periodic parameter is used to model the growth of cells, in particular cancer cells, in the presences of chemotherapeutic drugs. The chemotherapeutic effects are modeled by a periodic parameter that modifies the growth rate of the cell tissue. A negative growth rate represents the detrimental effects of the drugs. A simple criterion is obtained for the behavior of the chemotherapy.
Stability Of A Viscoelastic Burgers Flow, D. Glenn Lasseigne, W. E. Olmstead
Stability Of A Viscoelastic Burgers Flow, D. Glenn Lasseigne, W. E. Olmstead
Mathematics & Statistics Faculty Publications
The system of equations proposed by Burgers to model turbulent flow in a channel is extended to include viscoelastic affects. The stability and bifurcation properties are examined in the neighborhood of the critical Reynolds number. For highly elastic fluids, the bifurcated state is periodic with a shift in frequency.