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Related Experiment Videos

Solving algebraic equations on a microcomputer.

E E Tucker1

  • 1CET Research Group, Ltd, Norman, OK 73070.

Computer Applications in the Biosciences : CABIOS
|September 1, 1986
PubMed
Summary
This summary is machine-generated.

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Equation-solving software simplifies numerical solutions for algebraic equations, eliminating the need for manual algorithm programming. This technology efficiently solves linear and non-linear equations, including complex scientific problems.

Area of Science:

  • Computational Chemistry
  • Biochemistry
  • Pharmacokinetics
  • Scientific Computing

Background:

  • Traditional methods for solving algebraic equations, especially non-linear ones, often require complex programming of specific algorithms.
  • Microcomputer-based equation-solving programs offer a more accessible approach to numerical solutions.
  • The need for specialized algorithms is reduced, allowing users to focus on problem formulation.

Purpose of the Study:

  • To demonstrate the utility and ease of use of equation-solving programs for microcomputers.
  • To showcase applications in diverse scientific fields, including chemical equilibrium, enzyme kinetics, and pharmacokinetics.
  • To evaluate the performance and limitations of specific software (SEQS) on different platforms (Apple II, Macintosh).

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Main Methods:

  • Utilized SEQS software on Apple II and Macintosh microcomputers.
  • Inputted various sets of algebraic equations, including linear and non-linear systems.
  • Applied the software to solve problems in pharmacokinetics, chemical equilibrium, enzyme kinetics, and non-linear regression.

Main Results:

  • Equation-solving programs successfully handled diverse equation types without requiring explicit algorithm programming.
  • Demonstrated practical applications in solving complex scientific models, such as a two-compartment pharmacokinetic model and enzyme inhibition.
  • Provided solution times for SEQS, illustrating computational efficiency on microcomputers.

Conclusions:

  • Equation-solving programs significantly simplify the numerical solution of algebraic equations for scientists.
  • These tools are versatile, applicable to a wide range of scientific problems, including those in chemistry and biology.
  • The study highlights the practical benefits and limitations of using microcomputer-based equation solvers in research.