scholarly journals Pemodelan Pertumbuhan Tanaman Zinnia Menggunakan Lindenmayer System dengan Mathematica

CAUCHY ◽  
2013 ◽  
Vol 3 (1) ◽  
pp. 33 ◽  
Author(s):  
Suhartono Suhartono

Pendekatan dalam mempelajari pemodelan pertumbuhan tanaman saat ini adalah dengan menggunakan metoda L-System yaitu sistem penulisan berulang (rewriting system) yang dilakukan secara paralel dengan menggunakan aturan gramatikal. Dengan menggunakan software Mathematica telah diidentifikasi pemodelan pertumbuhan tanaman zinnia sebanyak 6 tahap pertumbuhan selama 25 hari dan dapat divisualisasikan

2019 ◽  
Vol 19 (1) ◽  
pp. 1
Author(s):  
Riza Umami ◽  
Kosala Dwija Purnomo ◽  
Firdaus Ubaidillah

The i-Fibonacci Words are words over {0,1}. The i-Fibonacci Word can be associated with a fractal curve by using odd-even drawing rule and L-System methods, then also known as an i-Fibonacci Word fractal. L-System is one of methods that is used to create objects with repetitive self-similiarity. Framework of L-System consists of axiom and rules. L-System is a parallel rewriting system with existing rules. The purpose of this research is to look for the LSystem rules of i-Fibonacci Word special for odd i, then look how its characteristics. The LSystem rules for i-Fibonacci Word odd i are divided into two types, the rules for i=1 and the others odd i. The characteristic of i-Fibonacci Word fractal is the more generation and i value of fractal, then the more segments and archs of fractal curve. Next, the words of i-Fibonacci Word fractal segments number is a subwords of the i-Fibonacci Word digit numbers. It is also known that the fractal curve will be stretched as the decreased angle. Keywords: Fractal, i-Fibonacci Word, L-System


Author(s):  
Ozlem Yasar ◽  
Shih Feng Lan ◽  
Binil Starly

Large thick tissue constructs have reported limited success primarily due to the inability of cells to survive deep within the scaffold. Without access to adequate nutrients, cells placed deep within the tissue construct will die out, leading to non-uniform tissue regeneration. In this research, we present several Lindenmayer system generated conduit networks in two and three-dimensional architecture with several degrees of complexity. The conduit network maintains a parent-child relationship between each branch of the network. Several L-system parameters have been studied—branching angle, branch length, ratio of parent to child branch diameter etc. We have developed a multi-physics based numerical model to predict the dependence of these L-system design parameters on the flow characteristics within the tissue construct. The implication of the simulation results will be discussed in terms of the design of 3D in-vitro tissue model systems.


CAUCHY ◽  
2021 ◽  
Vol 6 (4) ◽  
pp. 286-295
Author(s):  
Juhari Juhari ◽  
Muhammad Zia Alghar

Plant morphology modeling can be done mathematically which includes roots, stems, leaves, to flower. Modeling of plant stems using the Lindenmayer System (L-system) method is a writing returns that are repeated to form a visualization of an object. Deterministic L-system method is carried out by predicting the possible shape of a plant stem using its iterative writing rules based on the original object photo. The purpose of this study is to find a model of the plant stem with Deterministic Lindenmayer System method which will later be divided into two dimensional space three. The research was conducted by identifying objects in the form of pine tree trunks measured by the angle, thickness, and length of the stem. Then a deterministic and parametric model is built with L-system components . The stage is continued by visualizing the model in two dimensions and three dimensions. The result of this research is a visualization of a plant stem model that is close to the original. Addition color, thickness of the stem, as well as the parametric writing is done to get the results resembles the original. The iteration is limited to less than 20 iterations so that the simulation runs optimal.


2013 ◽  
Vol 8 (2) ◽  
pp. 163-175
Author(s):  
Urszula Żukowska ◽  
Grażyna Kalewska

In today's world, when it is so important to use every piece of land for a particular purpose, both economically and ecologically, identifying optimal land use is a key issue. For this reason, an analysis of the optimal land use in a section of the city of Olsztyn, using the L-system Urban Development computer program, was chosen as the aim of this paper. The program uses the theories of L-systems and the cartographic method to obtain results in the form of sequences of productions or maps. For this reason, the first chapters outline both theories, i.e. the cartographic method to identify optimal land use and Lindenmayer grammars (called L-systems). An analysis based on a fragment of the map of Olsztyn was then carried out. Two functions were selected for the analysis: agricultural and forest-industrial. The results are presented as maps and sequences in individual steps.


2021 ◽  
Vol 178 (3) ◽  
pp. 173-185
Author(s):  
Arthur Adinayev ◽  
Itamar Stein

In this paper, we study a certain case of a subgraph isomorphism problem. We consider the Hasse diagram of the lattice Mk (the unique lattice with k + 2 elements and one anti-chain of length k) and find the maximal k for which it is isomorphic to a subgraph of the reduction graph of a given one-rule string rewriting system. We obtain a complete characterization for this problem and show that there is a dichotomy. There are one-rule string rewriting systems for which the maximal such k is 2 and there are cases where there is no maximum. No other intermediate option is possible.


2020 ◽  
Vol 79 (Suppl 1) ◽  
pp. 1845.2-1846
Author(s):  
D. Kudinsky ◽  
L. Alekseeva ◽  
A. Smirnov ◽  
A. Volkov ◽  
O. Alekseeva ◽  
...  

Background:The most severe phenotype of osteoarthritis (OA) is currently considered to be an inflammatory or erosive phenotype (EOA). There is currently no reliable x-ray picture of this disease in the literature, and the question of whether it is an independent form of OA, a natural more pronounced stage of progression, or a separate nosology is debated in the literature.Objectives:To identify the localization, frequency, and severity of pain and radiological symptoms in patients with EOA and non-erosive (NOA) disease in the interphalangeal (DIP and PIP) and metacarpal (MCP) joints of the hands.Methods:64 women with diagnosis of OA of the hand (HOA) joints according to the ACR criteria were included into study after signing the informed consent form. Mean age was 65.28 ± 6.82 years (48-77), mean BMI 27,7 ± 4,4 kg/m2, mean disease duration 12 ± 8,1 years. Individual patient’s medical record included relevant anthropometric data, records from case history and clinical examination, AUSCAN scores, patient’s articular status. Instrumental diagnostic methods included plain radiography of the hand joints in an anterior-posterior projection. The images were described in accordance with the Kellgren&Lawrence (K&L) system.When evaluating radiographs of 64 patients with HOA, the most common was stage II (49%) according to K&L, and the most common symptoms in distal (DIP), proximal (PIP) interphalangeal and MCP were joint space narrowing (JSN) (100%, 100%, and 95%, respectively) and osteophytes (OP) (88%, 70%, and 45%, respectively). Subchondral osteosclerosis (SO) (5%), erosions (8%), and subluxations (3%) in MCP, as well as subluxation in PIP (6%) were less common. Statistica 10.0 was used for statistical analysis.23 patients had EOA, 37 had NOA. Depending on the presence of erosions in interphalangeal joints patients were divided into 2 groups comparable in terms of age, age of OA onset and duration of disease (the average age of patients with EOA interphalangeal joints was 68 + 6.15 years, and mean disease duration 18,34 + 7.11 years; in the group without erosive changes in the average age amounted to 65,13±5.43 years, mean disease duration of 16.56±8.4 years).Results:EOA DIP and PIP was detected in 15 (23%) with radiological changes corresponding to stages III-IV of HOA and in 8 people (12%) with stage II on the K&L scale. Patients with stage I according to standard radiography had no erosive process.In DMFs OP (100% and 78%, OR=1.28, 95%, CI [1.08-1.5], p=0.02), SO (74% and 11%, OR=6.8, 95%, CI [2.6-17.8], p<0,0001), subchondral cysts (SC) (61% and 24%, OR=2.5, 95%, CI [1.3-4.82], p=0.005) and subluxations (43% and 14%, OR=3.2, 95%, CI [1.3-8.23], p=0.01) were significantly more often found in patients with EOA. In PIPs SO (43% AND 5%, OR=8.04, 95%, CI [1.93-33.5], p=0.0005), SC (52% and 27%, OR=1.93, 95%, CI [0.1-3.73], p=0.045) and subluxations (17% and 0%, p=0.01) were significantly more frequently detected in patients with EOA compared to the non-erosive group. According to the results of the AUSCAN questionnaire, a significantly greater severity of pain was found in patients with EOA (65%) in comparison with the non-erosive (30%) form of HOA (OR=2.19, 95%, CI [1.23-3.9], p=0.008).Conclusion:DIPs is most often affected in OA of interphalangeal joints, less often PIPs, the most common symptoms are JSN and OP. At EOA in addition to more frequent detection OP, cysts, SO, subluxations in DIPs, SO, cysts and subluxations in PIPs, there is also significantly more pronounced pain according to AUSCAN data, it can be concluded that EOA is more severe in comparison with the non-erosive form of HOA.Disclosure of Interests:Danil Kudinsky: None declared, Ludmila Alekseeva Grant/research support from: Bayer, Alexander Smirnov: None declared, Alexander Volkov: None declared, Olga Alekseeva: None declared, Elena Taskina: None declared, Anastasiia Sukhinina: None declared


Molecules ◽  
2021 ◽  
Vol 26 (13) ◽  
pp. 3825
Author(s):  
Ling-Yi Shen ◽  
Xiao-Li Chen ◽  
Xian-Jiong Yang ◽  
Hong Xu ◽  
Ya-Li Huang ◽  
...  

A novel turn-on fluorescence probe L has been designed that exhibits high selectivity and sensitivity with a detection limit of 9.53 × 10−8 mol/L for the quantification of Zn2+. 1H-NMR spectroscopy and single crystal X-ray diffraction analysis revealed the unsymmetrical nature of the structure of the Schiff base probe L. An emission titration experiment in the presence of different molar fractions of Zn2+ was used to perform a Job’s plot analysis. The results showed that the stoichiometric ratio of the complex formed by L and Zn2+ was 1:1. Moreover, the molecular structure of the mononuclear Cu complex reveals one ligand L coordinates with one Cu atom in the asymmetric unit. On adding CuCl2 to the ZnCl2/L system, a Cu-Zn complex was formed and a strong quenching behavior was observed, which inferred that the Cu2+ displaced Zn2+ to coordinate with the imine nitrogen atoms and hydroxyl oxygen atoms of probe L.


Forests ◽  
2020 ◽  
Vol 11 (8) ◽  
pp. 869
Author(s):  
Helge Simon ◽  
Tim Sinsel ◽  
Michael Bruse

While complex urban morphologies including different materials, wall structures, etc., are rather adequately represented in microclimate models, replication of actual plant geometry is—so far—rather crudely handled. However, plant geometry greatly differs within species and locations while strongly determining a plant’s microclimate performance. To improve the plants representation in numerical models, a new method to describe plant skeletons using the so-called Lindenmayer-System has been implemented in the microclimate model ENVI-met. The new model allows describing much more realistic plants including the position and alignment of leaf clusters, a hierarchical description of the branching system and the calculation of the plant’s biomechanics. Additionally, a new canopy radiation transfer module is introduced that allows not only the simulation of diffuse radiation extinction but also secondary sources of diffuse radiation due to scattering of direct radiation within plant canopies. Intercomparisons between model runs with and without the advancements showed large differences for various plant parameters due to the introduction of the Lindenmayer-System and the advanced radiation scheme. The combination of the two developments represents a sophisticated approach to accurately digitize plants, model radiative transfer in crown canopies, and thus achieve more realistic microclimate results.


2005 ◽  
Vol 21 (5) ◽  
pp. 329-339 ◽  
Author(s):  
Jean-Eudes Marvie ◽  
Julien Perret ◽  
Kadi Bouatouch
Keyword(s):  
System A ◽  

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