A mathematical model for the dynamics of prion proliferation in the presence of chaperone involving a coupled system consisting of an ordinary differential equation and a partial integro-differential equation is analyzed. ...

The paper examines the steady-state behaviour of the Safronov-Dubovski coagulation equation for the kernel Vi,j = CV (iβjγ + iγ jβ ) when 0 ≤ β ≤ γ ≤ 1, ( β + γ ) ∈ [0, 2] ∀ i, j ∈ ℕ, CV ∈ ℝ⁺. By assuming the boundedness ...

The article presents the existence and mass conservation of solution for the discrete Safronov-Dubovski coagulation equation for the product coalescence coefficients ϕ such that ϕi,j≤ij ∀ i,j∈N. Both conservative and ...

The present work is based on the coupling of prion proliferation system together with chaperone which consists of two ODEs and a partial integro-differential equation. The existence and uniqueness of a positive global ...

The work described here is part of a larger research aimed at developing design aids for architects that could be particularly useful in the design of large buildings with complex and specialized programs like hospitals.

In most applications, such as urbanism and architecture, randomly utilizing given spaces is certainly not favorable. This study proposes an explicit algorithm for utilizing the given spaces inside a rectangle with satisfactory ...

Existing floor planning algorithms are mostly limited to rectangular room geometries. This restriction is a significant reason why they are not used much in design practice. To address this issue, we propose an algorithm ...

The automated generation of architectural layouts is an intensively studied research area where the aim is to generate a variety of (initial) layouts for the given constraints which can be further modified by designers ...

The automatic generation of floorplans given user inputs has great potential in architectural design and has recently been explored in the computer vision community. However, the majority of existing methods synthesize ...

This paper focuses on a novel approach for producing a floor plan (FP), either a rectangular (RFP) or an orthogonal (OFP) based on the concept of orthogonal drawings, which satisfies the adjacency relations given by any ...