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Biological Oscillator Synchronization With The Cellular Potts Model, Rose Una Jan 2023

Biological Oscillator Synchronization With The Cellular Potts Model, Rose Una

WWU Honors College Senior Projects

Similar to how neurons synchronize their firing in the brain, individual cells of certain single-celled species can synchronize their internal oscillatory molecular clocks to those of their neighboring cells. This study develops and analyzes an abstract, discrete agent-based computational model to investigate the movement and synchronization of internal oscillators in biological cells. We adapt a Cellular Potts Model to explore this oscillator synchronization process with two-dimensional cells on a square lattice. Model assumptions are motivated by behavior in single-celled species of slime mold (Dictyostelium discoideum) and slime bacteria (myxobacteria). The effects of the spatial attraction parameter and the neighboring clock …


Collected Papers (On Physics, Artificial Intelligence, Health Issues, Decision Making, Economics, Statistics), Volume Xi, Florentin Smarandache Jan 2022

Collected Papers (On Physics, Artificial Intelligence, Health Issues, Decision Making, Economics, Statistics), Volume Xi, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This eleventh volume of Collected Papers includes 90 papers comprising 988 pages on Physics, Artificial Intelligence, Health Issues, Decision Making, Economics, Statistics, written between 2001-2022 by the author alone or in collaboration with 84 co-authors from 19 countries.


Repeat Length Of Patterns On Weaving Products, Zhuochen Liu Nov 2019

Repeat Length Of Patterns On Weaving Products, Zhuochen Liu

Mathematical Sciences Technical Reports (MSTR)

Interlacing strands have been used to create artistic weaving patterns. Repeated patterns form aesthetically pleasing products. This research is a mathematical modeling of weaving products in the real world by using Cellular Automata. The research is conducted by observing the evolution of the model to better understand products in the real world. Specifically, this research focuses on the repeat length of a weaving pattern given the rule of generating it and the configuration of the starting row. Previous studies have shown the range of the repeat length in specific situations. This paper will generalize the precise repeat length in one …


A Two-Dimensional Simulation Of Grain Structure Growth Within Substrate And Fusion Zone During Direct Metal Deposition, Jingwei Zhang, Lei Yan, Wei Li, Frank W. Liou Jan 2018

A Two-Dimensional Simulation Of Grain Structure Growth Within Substrate And Fusion Zone During Direct Metal Deposition, Jingwei Zhang, Lei Yan, Wei Li, Frank W. Liou

Mechanical and Aerospace Engineering Faculty Research & Creative Works

In this chapter, a predictive multiscale model based on a cellular automaton (CA)-finite element (FE) method has been developed to simulate thermal history and microstructure evolution during metal solidification for direct metal deposition (DMD) process. The macroscopic FE calculation that is validated by the thermocouple experiment is developed to simulate the transient temperature field and cooling rate of single layer and multiple layers. In order to integrate the different scales, a CA-FE coupled model is developed to combine with thermal history and simulate grain growth. In the mesoscopic CA model, heterogeneous nucleation sites, grain growth orientation and rate, epitaxial growth, …


From Zeldovich Approximation To Burgers’ Equation: A Plausible Route To Cellular Automata Adhesion Universe, Victor Christianto, Florentin Smarandache Oct 2017

From Zeldovich Approximation To Burgers’ Equation: A Plausible Route To Cellular Automata Adhesion Universe, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Some years ago, Hidding et al. suggest that the emergence of intricate and pervasive weblike structure of the Universe on Megaparsec scales can be approximated by a well-known equation from fluid mechanics, the Burgers’ equation. The solution to this equation can be obtained from a geometrical formalism. The resulting Adhesion formalism provides deep insight into the dynamics and topology of the Cosmic Web. It uncovers a direct connection between the conditions in the very early Universe and the complex spatial patterns that emerged out of these under the influence of gravity. In the present paper, we describe a cellular automaton …


Genetic Programming For Cellular Automata Urban Inundation Modelling, Mike J. Gibson, Edward C. Keedwell, Dragan A. Savić Aug 2014

Genetic Programming For Cellular Automata Urban Inundation Modelling, Mike J. Gibson, Edward C. Keedwell, Dragan A. Savić

International Conference on Hydroinformatics

Recent advances in Cellular Automata (CA) represent a new, computationally efficient method of simulating flooding in urban areas. A number of recent publications in this field have shown that CAs can be much more computationally efficient than methods than using standard shallow water equations (Saint Venant/Navier-Stokes equations). CAs operate using local state-transition rules that determine the progression of the flow from one cell in the grid to another cell, in many publications the Manning’s Formula is used as a simplified local state transition rule. Through the distributed interactions of the CA, computationally simplified urban flooding can be processed, although these …


Improving Exploration And Exploitation Capability Of Harmony Search Algorithm, Joong Hoon Kim, Do Guen Yoo, Ho Min Lee, Sung Soo Im Aug 2014

Improving Exploration And Exploitation Capability Of Harmony Search Algorithm, Joong Hoon Kim, Do Guen Yoo, Ho Min Lee, Sung Soo Im

International Conference on Hydroinformatics

Harmony Search (HS) is a meta-heuristic algorithm which was first introduced in 2001 and it became a widely used optimization algorithm in various areas in engineering application as well as in water resources planning and management. However, as most meta-heuristic algorithms are, the HS shows a good performance in global search but not as good in local search. This study aims the improvement of both exploration and exploitation capability of the algorithm. The mission has been carried out by changing algorithm operators or parameters in the search process. Several types of Improved Harmony Search (IHS) have been successfully developed resulting …


Password Protected Visual Cryptography Via Cellular Automaton Rule 30, Roman V. Yampolskiy, Jovan D. Rebolledo-Mendez, Musa M. Hindi Jan 2014

Password Protected Visual Cryptography Via Cellular Automaton Rule 30, Roman V. Yampolskiy, Jovan D. Rebolledo-Mendez, Musa M. Hindi

Faculty Scholarship

Visual cryptography depends on two shares. The initial configuration, extra security bits and the number of the rule for the CA along with the number of computed steps serve as a password for a visually encrypted image. The second share could contain a predefined pattern; the developed algorithm uses a snapshot of a CA after a certain number of steps to generate the predefined share. Only one of these shares has to be random. The developed encryption system is a hybrid between visual and classical cryptographic approaches. It requires less storage space compared to a standalone visual encryption system and …


Probabilistic Simulation Of Solidification Microstructure Evolution During Laser-Based Metal Deposition, Jingwei Zhang, Frank W. Liou, William Seufzer, Joseph William Newkirk, Zhiqiang Fan, Heng Liu, Todd E. Sparks Aug 2013

Probabilistic Simulation Of Solidification Microstructure Evolution During Laser-Based Metal Deposition, Jingwei Zhang, Frank W. Liou, William Seufzer, Joseph William Newkirk, Zhiqiang Fan, Heng Liu, Todd E. Sparks

Mechanical and Aerospace Engineering Faculty Research & Creative Works

A predictive model, based on a Cellular Automaton (CA) - Finite Element (FE) method, has been developed to simulate microstructure evolution during metal solidification for a laser based additive manufacturing process. The macroscopic FE calculation was designed to update the temperature field and simulate a high cooling rate. In the microscopic CA model, heterogeneous nucleation sites, preferential growth orientation and dendritic grain growth kinetics were simulated. The CA model was able to show the entrapment of neighboring cells and the relationship between undercooling and the grain growth rate. The model predicted the dendritic grain size, structure, and morphological evolution during …


Numerical Simulation Of The Evolution Of Solidification Microstructure In Laser Deposition, Zhiqiang Fan, Todd E. Sparks, Frank W. Liou, Anand Jambunathan, Yaxin Bao, Jianzhong Ruan, Joseph William Newkirk Aug 2007

Numerical Simulation Of The Evolution Of Solidification Microstructure In Laser Deposition, Zhiqiang Fan, Todd E. Sparks, Frank W. Liou, Anand Jambunathan, Yaxin Bao, Jianzhong Ruan, Joseph William Newkirk

Mechanical and Aerospace Engineering Faculty Research & Creative Works

A predictive model is developed to simulate the evolution of the solidification microstructure during the laser deposition process. The microstructure model is coupled with a comprehensive macroscopic thermodynamic model. This model simulates dendritic grain structures and morphological evolution in solidification. Based on the cellular automata approach, this microstructure model takes into account the heterogeneous nucleation both within the melt pool and at the substrate/melt interface, the growth kinetics, and preferential growth directions of dendrites. Both diffusion and convection effects are included. This model enables prediction and visualization of grain structures during and after the deposition process. This model is applied …


Efficient And Robust Delay-Insensitive Qca (Quantum-Dot Cellular Automata) Design, Minsu Choi, Myungsu Choi, Zachary D. Patitz, Nohpill Park Oct 2006

Efficient And Robust Delay-Insensitive Qca (Quantum-Dot Cellular Automata) Design, Minsu Choi, Myungsu Choi, Zachary D. Patitz, Nohpill Park

Electrical and Computer Engineering Faculty Research & Creative Works

The concept of clocking for QCA, referred to as the four-phase clocking, is widely used. However, inherited characteristics of QCA, such as the way to hold state, the way to synchronize data flows, and the way to power QCA cells, make the design of QCA circuits quite different from VLSI and introduce a variety of new design challenges. The most severe challenges are due to the fact that the overall timing of a QCA circuit is mainly dependent upon its layout. This issue is commonly referred to as the "layout =timing" problem. To circumvent the problem, a novel self-timed circuit …


Qca-Based Majority Gate Design Under Radius Of Effect-Induced Faults, Zachary D. Patitz, Nohpill Park, Minsu Choi, Fred J. Meyer Oct 2005

Qca-Based Majority Gate Design Under Radius Of Effect-Induced Faults, Zachary D. Patitz, Nohpill Park, Minsu Choi, Fred J. Meyer

Electrical and Computer Engineering Faculty Research & Creative Works

This paper presents reliable QCA cell structures for designing single clock-controlled majority gates with a tolerance to radius of effect-induced faults, for use as a basic building component for carry look-ahead adder. Realizable quantum computing is still well in the future due to the complexity of the quantum mechanics that govern them. In this regard, QCA-based system design is a challenging task since each cell''s state must interact with all the cells that are in its energy-effective range in its clocking zone, referred to as its radius of effect. This paper proposes a design approach for majority gates to overcome …


Teaching Nanotechnology By Introducing Crossbar-Based Architecture And Quantum-Dot Cellular Automata, Minsu Choi, Nohpill Park Jun 2005

Teaching Nanotechnology By Introducing Crossbar-Based Architecture And Quantum-Dot Cellular Automata, Minsu Choi, Nohpill Park

Electrical and Computer Engineering Faculty Research & Creative Works

The end of photolithography as the driver for Moore's law is predicted within seven to twelve years and six different emerging technologies (mostly nanoscale) are expected to replace the current CMOS-based system integration paradigm. As nanotechnology is emerging, (1) there is a strong need for well-educated nanoscale systems engineers by industry, and (2) research and education efforts are also called to overcome numerous nanoscale systems issues. This paper is to propose a way to teach nanotechnology by introducing two emerging technologies: crossbar-based nanoarchitecture and quantum-dot cellular automata.