A first course in the numerical analysis of differential equations
A first course in the numerical analysis of differential equations
Journal of Computer and System Sciences
Membrane systems with carriers
Theoretical Computer Science
Membrane Computing: An Introduction
Membrane Computing: An Introduction
The power of communication: P systems with symport/antiport
New Generation Computing
Artificial Life Applications of a Class of P Systems: Abstract Rewriting Systems on Multisets
WMP '00 Proceedings of the Workshop on Multiset Processing: Multiset Processing, Mathematical, Computer Science, and Molecular Computing Points of View
WMC-CdeA '02 Revised Papers from the International Workshop on Membrane Computing
WMC-CdeA '02 Revised Papers from the International Workshop on Membrane Computing
Applications of Membrane Computing (Natural Computing Series)
Applications of Membrane Computing (Natural Computing Series)
Reaction-driven membrane systems
ICNC'05 Proceedings of the First international conference on Advances in Natural Computation - Volume Part II
Evolution and oscillation in p systems: applications to biological phenomena
WMC'04 Proceedings of the 5th international conference on Membrane Computing
A p system description of the sodium-potassium pump
WMC'04 Proceedings of the 5th international conference on Membrane Computing
The metabolic algorithm for P systems: Principles and applications
Theoretical Computer Science
A Multiscale Modeling Framework Based on P Systems
Membrane Computing
MetaPlab: A Computational Framework for Metabolic P Systems
Membrane Computing
Event-Driven Metamorphoses of P Systems
Membrane Computing
Toward an MP Model of Non-Photochemical Quenching
Membrane Computing
Learning regulation functions of metabolic systems by artificial neural networks
Proceedings of the 11th Annual conference on Genetic and evolutionary computation
A photosynthetic process modelled by a metabolic P system
Natural Computing: an international journal
XML representation of metabolic P systems
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
Hybrid Functional Petri Nets as MP systems
Natural Computing: an international journal
Psim: a computational platform for metabolic P systems
WMC'07 Proceedings of the 8th international conference on Membrane computing
A hybrid approach to modeling biological systems
WMC'07 Proceedings of the 8th international conference on Membrane computing
WMC'07 Proceedings of the 8th international conference on Membrane computing
Membrane computing as a modeling framework: cellular systems case studies
SFM'08 Proceedings of the Formal methods for the design of computer, communication, and software systems 8th international conference on Formal methods for computational systems biology
Discrete simulations of biochemical dynamics
DNA13'07 Proceedings of the 13th international conference on DNA computing
Deterministic and stochastic P systems for modelling cellular processes
Natural Computing: an international journal
A review of the nondeterministic waiting time algorithm
Natural Computing: an international journal
MP systems approaches to biochemical dynamics: biological rhythms and oscillations
WMC'06 Proceedings of the 7th international conference on Membrane Computing
WMC'09 Proceedings of the 10th international conference on Membrane Computing
Metabolic p system flux regulation by artificial neural networks
WMC'09 Proceedings of the 10th international conference on Membrane Computing
Chemical analog computers for clock frequency control based on p modules
CMC'11 Proceedings of the 12th international conference on Membrane Computing
An outline of MP modeling framework
CMC'12 Proceedings of the 13th international conference on Membrane Computing
A case-study on the influence of noise to log-gain principles for flux dynamic discovery
CMC'12 Proceedings of the 13th international conference on Membrane Computing
CMC'12 Proceedings of the 13th international conference on Membrane Computing
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The relationships existing between metabolic P systems and ODE systems are investigated. Formal results show that every MP system determines a structure, called an MP graph, which results in an ODE system whose solution equals, in the limit, the evolution of any non-cooperative MP system that can be derived from the initial one by means of a systematic procedure. Examples based on the model of a mitotic oscillator in early amphibian embryos, the Lotka-Volterra predator-prey population dynamics, and the Lorenz strange attractor are provided, showing the applicability of the proposed computational approach.