Pointwise bounds for the solution of a nonlinear problem in cell membrane theory

Author:

Arthurs A. M.,Arthurs W. M.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Agricultural and Biological Sciences,Pharmacology,General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Mathematics,Immunology,General Neuroscience

Reference6 articles.

1. Anderson, N. and A. M. Arthurs. 1978. “Complementary Variational Principles for the Steady-state Finite Cable Model of Nerve Membranes”.Bull. math. Biol. 40, 735–742.

2. Jack, J. J. B., D. Noble and R. W. Tsien. 1975.Electric Current Flow in Excitable Cells. Oxford: Clarendon Press.

3. Kootsey, J. M. 1977. “The Steady-state Finite Cable: Numerical Method for Non-linear Membrane”.J. theor. Biol. 64, 413–420.

4. Protter, M. H. and H. F. Weinberger. 1967.Maximum Principles in Differential Equations. Englewood Cliffs, NJ: Prentice-Hall.

5. Varma, A. and W. Strieder. 1981. “Approximate Solutions of Nonlinear Boundary Value Problems.”I.M.A. J. appl. Math.

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1. A note on a nonlinear problem in cell membrane theory;Nonlinear Analysis: Theory, Methods & Applications;1997-12

2. On the solution of a nonlinear problem in cell membrane theory;The Journal of the Australian Mathematical Society. Series B. Applied Mathematics;1994-07

3. Zum zeitlichen Verlauf von Substratkonzentrationsprofilen in einer Enzymträgerkugel;Acta Biotechnologica;1988

4. Pointwise bounds for a nonlinear heat conduction model of the human head;Bulletin of Mathematical Biology;1986-03

5. A class of second-order nonlinear difference equations. II. Comparison results and approximation of solutions;Journal of Mathematical Analysis and Applications;1985-11

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