Discussion of parameter estimation in biological modelling: Algorithms for estimation and evaluation of the estimates

DOI10.1007/BF01273746zbMath0311.92001OpenAlexW1988604402WikidataQ45947377 ScholiaQ45947377MaRDI QIDQ1219834

Hans J. Bremermann, Joel Swartz

Publication date: 1975

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01273746

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Estimation and detection in stochastic control theory (93E10) General biology and biomathematics (92B05) Numerical methods for ordinary differential equations (65L99)

Related Items (9)

Analysis of a parameter identification problem ⋮ A method for solving the parameter identification problem for ordinary differential equations of the second order ⋮ A modified multiple shooting algorithm for parameter estimation in ODEs using adjoint sensitivity analysis ⋮ Application of one‐step method to parameter estimation in ODE models ⋮ Sieve estimation of constant and time-varying coefficients in nonlinear ordinary differential equation models by considering both numerical error and measurement error ⋮ Increasing the size of region of convergence for parameter estimation through the use of shorter data-length ⋮ Parameter identification of the Calvin photosynthesis cycle ⋮ Fitting multiple trajectories simultaneously to a model of inducible enzyme synthesis ⋮ Parameter estimation of an enzyme kinetic system using computer algebra techniques

Cites Work

• On analogues of Poincaré-Lyapunov theory for multipoint boundary-value problems
• Data unscrambling and the motion of a rocket inside a smoothbore launcher
• A method of unconstrained global optimization
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