Computer modelling of hyphal tip growth in fungi

1972 ◽  
Vol 50 (12) ◽  
pp. 2455-2462 ◽  
Author(s):  
Daniela da Riva Ricci ◽  
Bryce Kendrick
Keyword(s):  
Mathematical Model ◽  
Tip Growth ◽  
Computer Modelling ◽  
Hyphal Tip Growth ◽  
Hyphal Tip

Starting from simple morphological considerations and a hypothesis involving 'unset' and 'set' wall, a mathematical model simulating the growth of the hyphal tip is derived, and the results displayed by plotter.

scholarly journals MATHEMATICAL MODELLING OF RUNNING CROWN FOREST FIRES

2010 ◽  
Vol 15 (2) ◽  
pp. 161-174 ◽  
Author(s):  
Dmitry Barovik ◽  
Valery Taranchuk
Keyword(s):  
Mathematical Model ◽  
Forest Fire ◽  
Forest Fires ◽  
Computer Modelling ◽  
Fire Behaviour ◽  
Fire Propagation ◽  
Finite Difference Approximations ◽  
Difference Approximations ◽  
Simplifying Assumptions ◽  
Crown Forest

Adapted mathematical model for simulation of running crown forest fire propagation is considered. Simplifying assumptions, equations of the model, initial and boundary conditions, finite difference approximations are introduced. The results of computer modelling and the peculiarities of forest fire behaviour in heterogeneous forests are discussed.

scholarly journals Mathematical model of mechanical testing of bone-implant (4.5 mm LCP) construct

2012 ◽  
Vol 81 (2) ◽  
pp. 211-215
Author(s):  
Lucie Urbanová ◽  
Iva Blažek-Fialová ◽  
Robert Srnec ◽  
Jan Pěnčík ◽  
Přemysl Kršek ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Mechanical Testing ◽  
Bone Defect ◽  
Computer Modelling ◽  
Ex Vivo ◽  
Displacement Vector ◽  
Von Mises Stress ◽  
Bone Implant ◽  
Central Plate ◽  
Von Mises

The study deals with the possibility of substituting time- and material-demanding mechanical testing of a bone defect fixation by mathematical modelling. Based on the mechanical model, a mathematical model of bone-implant construct stabilizing experimental segmental femoral bone defect (segmental ostectomy) in a miniature pig ex vivo model using 4.5 mm titanium LCP was created. It was subsequently computer-loaded by forces acting parallel to the long axis of the construct. By the effect of the acting forces the displacement vector sum of individual construct points occurred. The greatest displacement was noted in the end segments of the bone in close proximity to ostectomy and in the area of the empty central plate hole (without screw) at the level of the segmental bone defect. By studying the equivalent von Mises stress σEQV on LCP as part of the tested construct we found that the greatest changes of stress occur in the place of the empty central plate hole. The distribution of this strain was relatively symmetrical along both sides of the hole. The exceeding of the yield stress value and irreversible plastic deformations in this segment of LCP occurred at the acting of the force of 360 N. These findings are in line with the character of damage of the same construct loaded during its mechanic testing. We succeeded in creating a mathematical model of the bone-implant construct which may be further used for computer modelling of real loading of similar constructs chosen for fixation of bone defects in both experimental and clinical practice.

Mathematical Model of Anisotropic Elastoplastic Material

2016 ◽  
Vol 684 ◽  
pp. 127-133
Author(s):  
Yaroslav A. Erisov
Keyword(s):  
Mathematical Model ◽  
Stress State ◽  
Metal Forming ◽  
Computer Modelling ◽  
Elastoplastic Material ◽  
Stress Strain ◽  
Strain Behavior

The work considers some techniques for defining the stress state during computer modelling of metal-forming processes. A mathematical model of anisotropic elastoplastic material has been developed and an algorithm of computing the stress-strain behavior according to this model has been described.

scholarly journals Research of brick dynamic strength when subjected to shock loading by method of computer modelling

2019 ◽  
Vol 221 ◽  
pp. 01041
Author(s):  
Andrei Plyaskin ◽  
Nikolai Belov ◽  
Nikolai Yugov ◽  
Artem Ryshkov ◽  
Aleksei Yugov ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Shock Wave ◽  
Shock Loading ◽  
Computer Modelling ◽  
Dynamic Strength ◽  
Drop Weight ◽  
The Impact ◽  
The Mathematical Model

The study represents the mathematical model of distorting and destruction of ordinary brick and masonry when subjected to shock-wave loadings. The research of the impact dynamic strength of the masonry's two fragments to the steel drop-weight of 1-2 m, weighing 197-1000 kg, was conducted by using the method of the computer modelling.

Computer Modelling when Selecting the Activated Mineral Powders Compositions

2020 ◽  
Vol 992 ◽  
pp. 876-882
Author(s):  
V.D. Galdina ◽  
N.S. Galdin
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Fly Ash ◽  
Personal Computer ◽  
Carbonate Rocks ◽  
Computer Modelling ◽  
Planning Method ◽  
Mathematical Planning ◽  
Technical Properties ◽  
Maple Package

When selecting the compositions and studying the properties of the activated mineral powders based on superacid fly ash, mineral and organic activating agents, the computer modelling was performed. The activated mineral powders compositions corresponding to the properties of GOST 32761 2014 requirements to the MP-1 activated mineral powders of carbonate rocks were selected using the experiment mathematical planning method. When processing the experimental data for obtaining the adequate mathematical model, optimizing the compositions and constructing the graphical dependencies, the Maple package was used. The software for the personal computer including the algorithm and se-lection program of the activated mineral powders compositions was developed. The software makes it possible to automate the calculation of the activated mineral powders formulas with the specified technical properties.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model
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