In this paper, we introduce fractional-order derivatives into a model of HIV infection of CD4+ T-cells with time delay. We deal with the stability of both the viral free equilibrium and the infected equilibrium. Criteria are given to ensure that both the equilibria are asymptotically stable for...

A model of morphological development of living tissues could be split into three mutually entangled parts: a mechanical model of tissues, diffusion of signaling molecules, and a gene regulatory network. This paper propose a cellular automaton mechanical model of mesenchyme including its growth...

This paper uses the DIEHARD statistical test suite to test the randomness quality of “permuted” versions of maximum length sequences generated by linear finite state machines (LFSM) such as cellular automata and linear feedback shift registers. Analysis shows that permuted sequences can be...

Knowledge-based or Artificial Intelligence techniques are used increasingly as alternatives to more classical techniques to model environmental systems. We review some of them and their environmental applicability, with examples and a reference list. The techniques covered are case-based...

This study presents an efficient division architecture using restricted irreducible polynomial on elliptic curve cryptosystem (ECC), based on cellular automata. The most expensive arithmetic operation in ECC is division, which is performed by multiplying the inverse of a multiplicand. The...

This article presents a basic introduction and some advanced concepts used in the use of cellular automata for the modeling and simulation of the motion of grain boundaries in evolving microstructures. An attempt is made to compile a complete review of literature in this context only. It is...