Numerical Treatment of Inverse Problems in Chemical Reaction Kinetics
作者： H. G. Bock
DOI: 10.1007/978-3-642-68220-9_8
关键词:
摘要: Chemical reaction systems are certainly one of the most challenging scientific fields in which numerical and analytical methods for ordinary differential equations used.
springer.com
springerlink.com参考文章(16)
P. Deuflhard, V. Apostolescu, An underrelaxed gauss-newton method for equality constrained nonlinear least squares problems Springer, Berlin, Heidelberg. pp. 22- 32 ,(1978) , 10.1007/BFB0006505
P. Deuflhard, W. Sautter, On rank-deficient pseudoinverses Linear Algebra and its Applications. ,vol. 29, pp. 91- 111 ,(1980) , 10.1016/0024-3795(80)90232-3
F. Heinmets, Analog computer analysis of a model-system for the induced enzyme synthesis Journal of Theoretical Biology. ,vol. 6, pp. 60- 75 ,(1964) , 10.1016/0022-5193(64)90066-9
J. Swartz, H. Bremermann, Discussion of parameter estimation in biological modelling: Algorithms for estimation and evaluation of the estimates. Journal of Mathematical Biology. ,vol. 1, pp. 241- 257 ,(1975) , 10.1007/BF01273746
Hans Bremermann, A method of unconstrained global optimization Mathematical Biosciences. ,vol. 9, pp. 1- 15 ,(1970) , 10.1016/0025-5564(70)90087-8
P. Deuflhard, A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting Numerische Mathematik. ,vol. 22, pp. 289- 315 ,(1974) , 10.1007/BF01406969
Robert S. Roth, Micheline M. Roth, Data unscrambling and the analysis of inducible enzyme synthesis Mathematical Biosciences. ,vol. 5, pp. 57- 92 ,(1969) , 10.1016/0025-5564(69)90035-2
H. Rutishauser, The Jacobi method for real symmetric matrices Numerische Mathematik. ,vol. 9, pp. 1- 10 ,(1966) , 10.1007/BF02165223
Jaime Milstein, Fitting multiple trajectories simultaneously to a model of inducible enzyme synthesis Mathematical Biosciences. ,vol. 40, pp. 175- 184 ,(1978) , 10.1016/0025-5564(78)90082-2
Josef Stoer, On the Numerical Solution of Constrained Least-Squares Problems SIAM Journal on Numerical Analysis. ,vol. 8, pp. 382- 411 ,(1971) , 10.1137/0708038