scholarly journals Irregular Oscillations in a Realistic Abstract Quadratic Mass Action System

1980 ◽  
Vol 35 (3) ◽  
pp. 317-318 ◽  
Author(s):  
K.-D. Willamowski ◽  
O. E. Rössler
Keyword(s):  
Numerical Simulation ◽  
Chaotic Behavior ◽  
Variable Mass ◽  
Second Order ◽  
Mass Action ◽  
Mass Action Kinetics ◽  
Elementary Reactions ◽  
Action System

Abstract An open three-variable mass action kinetics is presented which exhibits chaotic behavior under numerical simulation. The elementary reactions of this system are at most of second order and satisfy the requirements of thermodynamics as long as the system is closed.

Contributions to the Theory of Mass Action Kinetics

1978 ◽  
Vol 33 (8) ◽  
pp. 989-992
Author(s):  
Klaus-Dieter Willamowski
Keyword(s):  
Critical Points ◽  
Dynamic Properties ◽  
Second Order ◽  
Mass Action ◽  
Mass Action Kinetics ◽  
Reaction Systems ◽  
Nonlinear Reaction ◽  
Stability Pattern

Second order mass action kinetics provide the simplest models of nonlinear reaction systems. Some of their dynamic properties, viz., location, number, and stability pattern of their critical points, will be analyzed. The occurrence of periodic and chaotic solutions of these systems is discussed.

Contributions to the Theory of Mass Action Kinetics. I. Enumeration of Second Order Mass Action Kinetics

1978 ◽  
Vol 33 (7) ◽  
pp. 827-833 ◽  
Author(s):  
K.-D. Willamowski ◽  
O. E. Rössler
Keyword(s):  
Second Order ◽  
Mass Action ◽  
Reversible Reaction ◽  
Reaction Networks ◽  
Mass Action Kinetics ◽  
Number Of Species ◽  
Different Types

By investigating the reaction diagram in its own right, it is possible to solve the problem of enumerating all the different types of mass action kinetics up to second order. The amount of non isomorphic complex sets for a given number of species and of non isomorphic reaction networks and reversible reaction networks which can be derived from a given number of complexes is given.

scholarly journals Training an asymmetric signal perceptron through reinforcement in an artificial chemistry

2014 ◽  
Vol 11 (93) ◽  
pp. 20131100 ◽  
Author(s):  
Peter Banda ◽  
Christof Teuscher ◽  
Darko Stefanovic
Keyword(s):  
State Of The Art ◽  
Chemical Species ◽  
Mass Action ◽  
Mass Action Kinetics ◽  
Dna Strand Displacement ◽  
Autonomous Adaptation ◽  
Biochemical Systems ◽  
Dna Strand ◽  
Logic Functions ◽  
Application Specific

State-of-the-art biochemical systems for medical applications and chemical computing are application-specific and cannot be reprogrammed or trained once fabricated. The implementation of adaptive biochemical systems that would offer flexibility through programmability and autonomous adaptation faces major challenges because of the large number of required chemical species as well as the timing-sensitive feedback loops required for learning. In this paper, we begin addressing these challenges with a novel chemical perceptron that can solve all 14 linearly separable logic functions. The system performs asymmetric chemical arithmetic, learns through reinforcement and supports both Michaelis–Menten as well as mass-action kinetics. To enable cascading of the chemical perceptrons, we introduce thresholds that amplify the outputs. The simplicity of our model makes an actual wet implementation, in particular by DNA-strand displacement, possible.

Optimal Solutions for Nonhomogeneous Multiply-Connected Torsional Sections

1989 ◽  
Vol 111 (1) ◽  
pp. 87-93 ◽  
Author(s):  
A. Mioduchowski ◽  
M. G. Faulkner ◽  
B. Kim
Keyword(s):  
Numerical Simulation ◽  
Boundary Value Problem ◽  
Cross Section ◽  
Boundary Value ◽  
Optimization Procedure ◽  
Second Order ◽  
External Boundary ◽  
Optimal Solutions ◽  
Torsion Problem ◽  
Multiply Connected

Optimization of a second-order multiply-connected inhomogeneous boundary-value problem was considered in terms of elastic torsion. External boundary and material proportions are the applied constraints in finding optimal internal configurations of the cross section. The optimization procedure is based on the numerical simulation of the membrane analogy and the results obtained indicate that the procedure is usable as an engineering tool. Optimal solutions are obtained for some representative cases of the torsion problem and they are presented in the form of tables and figures.

Sign in / Sign up

Export Citation Format

Share Document