We construct a cellular automaton (CA) model that describes the movement of particle in disordered system. The mathematical properties CA were examined by varying configuration grid and determining number percolating paths. Through this model, we able to develop computer simulation shows transport. Under hopping mechanism, with or without tunneling(or backscattering), it was found out there is an exponential behavior percolation probability. However, onset probability shifted smaller value...

American foulbrood (AFB) is one of the severe infectious diseases European honeybees (Apis mellifera L.) and other Apis species. This disease caused by a gram-positive, spore-forming bacterium Paenibacillus larvae. In this paper, compartmental (SI framework) model constructed to represent spread AFB within colony. The analyzed determine long-term fate colony once exposed spores. It was found out that without effective efficient treatment, infection eventually leads collapse. Furthermore,...

The aim of this paper is to provide the correctors associated homogenization a parabolic problem describing heat transfer. results here complete earlier study in [Jose, Rev. Roumaine Math. Pures Appl. 54 (2009) 189–222] on asymptotic behaviour domain with two components separated by an ε-periodic interface. physical model established [Carslaw and Jaeger, Clarendon Press, Oxford (1947)] prescribes interface condition that flux temperature proportional jump field, factor order εγ. We suppose...

This paper studies a chemical reaction network's (CRN) reactant subspace, i.e. the linear subspace generated by its complexes, to elucidate role in system's kinetic behaviour. We introduce concepts such as rank and deficiency compare them with their analogues currently used network theory. construct classification of CRNs based on type intersection between R stoichiometric S identify subnetwork S-complexes, complexes which, when viewed vectors, are contained S, tool study classes, which play...

In this paper, we extend our study of power law kinetic systems whose order vectors (which call "interactions") are reactant-determined (i.e. reactions with the same reactant complex have identical vectors) and linear independent per linkage class. particular, consider PL-TLK systems, i.e. such T-matrix (the matrix interactions as columns indexed by complexes), when augmented rows characteristic classes, has maximal column rank. Our main result states that any weakly reversible system a...

In this paper, we study the approximate control for a class of parabolic equations with rapidly oscillating coefficients in an ε-periodic composite interfacial contact resistance as well its asymptotic behavior, ε → 0. The condition on interface depends parameter γ ∈ (−1,1]. case = 1 is most interesting one, and more delicate, since homogenized problem given by coupled system P.D.E. O.D.E., giving rise to memory effect. variational approach controllability introduced Lions [J.-L. Lions....

A complex balanced kinetic system is absolutely (ACB) if every positive equilibrium balanced. Two results on absolute balancing were foundational for modern chemical reaction network theory (CRNT): in 1972, M. Feinberg proved that any deficiency zero In the same year, F. Horn and R. Jackson showed (full) converse of result not true: mass action system, regardless its deficiency, this paper, we present initial extension ACB Theorem. particular, focus other systems with where implies...

Poly-PL kinetic systems are consisting of nonnegative linear combinations power law functions. In this contribution, we analyze these using two main approaches: (1) define a canonical representation poly-PL system, and (2) transform system into dynamically equivalent that preserves the stoichiometric subspace system. These approaches led us to establish results concern important dynamical properties such as existence parametrization complex balanced steady states, capacity for multiple...

Modern biology will never be the same without mathematical and computational tools. Using mind map with “epigenetics” as root, we discuss current advancement in field of biomathematics for modeling cell-fate specification. In discussions, also present possible directions future research.

This paper focuses on what we call Reaction Network Cardon Dioxide Removal (RNDCR) framework to analyze several proposed negative emissions technologies (NETs) so as determine when present-day Earth carbon cycle system would exhibit multistationarity (steady-state multiplicity) or possibly monostationarity, that will in effect lower the rising earth temperature. Using mathematical modeling based techniques of chemical reaction network theory (CRNT), propose an RNDCR consisting Anderies...

This paper is concerned with the asymptotic analysis of optimal control problems posed on a rough circular domain. The domain has two parts, namely fixed outer part and an oscillating inner part. period oscillation order ε>0, small parameter which approaches zero amplit ude fixed. We pose periodic study homogenization this problem using unfolding operator suitably defined for One novelties that we use to characterize in non-homogenized level.

In this study, the authors design and implement a real time system as an autonomous robot--camera to capture many targets in scene. The robot has only one camera, but it is capable of capturing more than moving object through proper movement. uses Gaussian Filtering for motion detection then performs partitioning grab location all Due partitioning, scene three major regions while each which different sub-regions. Based on position targets, might be states unsafe state, safe over-safe state....

Poly-PL kinetic systems (PYK) are consisting of nonnegative linear combinations power law functions. In this contribution, we analyze these using two main approaches: (1) define a canonical representation poly-PL system, and (2) transform system into dynamically equivalent that preserves the stoichiometric subspace system. These approaches led us to establish results concern important dynamical properties extend known for generalized mass actions (GMAS) such as existence, uniqueness...

This study is part of a research endeavor called the UPLB Biomathematics Initiative which aims to help solve biological problems through mathematical modeling. Specifically, we consider here problem on management bee colonies done in collaboration with Bee Program. paper focuses construction cellular automaton model that describes spatial distribution mites (Varroa destructor Anderson and Trueman) honeybee (Apis mellifera Linnaeus) colonies. Through this model, are able construct computer...