Fuzzy Cellular Automata Model for Discrete Dynamical System Representing Spread of MERS and COVID-19 Virus

Basu, Sumanta; Ghosh, Sreeya

doi:10.1007/978-981-15-8097-0_11

Cited by 8 publications

(3 citation statements)

References 9 publications

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“…FBN have recently revealed as a useful mathematical tool to formalize and simulate some real phenomena where BN cannot be modeled accurately. This occurs, for instance, in Basu and Ghosh 27 where FBN are employed to represent spread of mers and covid‐19 virus; in Kashani et al 28 where they are used for the determination of substructures in social networks; in Zamani et al 29 where a novel image encryption scheme based on FCA is presented; or in Mingarelli 30 where FCA are applied to classify elementary CA. This justifies the interest in the analytical study of this kind of models.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy parallel dynamical systems on Zadeh operators

Aledo

Manjabacas

Robles³

et al. 2023

Math Methods in App Sciences

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In this paper, we describe the orbital structure of homogeneous fuzzy parallel dynamical systems on Zadeh operators. In particular, we show that, when the (global) evolution operator is either the Zadeh conjunction operator AND or the Zadeh disjunction operator OR, all the points of the system are fixed points or eventually fixed points. Specifically, such systems present infinitely many fixed points. On the other hand, when the (global) evolution operator is either the Zadeh operator NOR or the Zadeh operator NAND, the orbital structure consists of an only fixed point and infinitely many 2-periodic points.

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Section: Introductionmentioning

confidence: 99%

Fuzzy parallel dynamical systems on Zadeh operators

Aledo

Manjabacas

Robles³

et al. 2023

Math Methods in App Sciences

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“…Recently, attempts has been made to model COVID-19 spread within the framework of Probabilistic CA [22] and Fuzzy CA [23]. Pokkuluri et.al.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Changes Occurring in Codon Positions due to Mutations Through the Cellular Automata Transition Rules

Sengupta¹,

Ghosh²,

Choudhury³

2022

Artificial Intelligence and Communication Technologies

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Variation in the nucleotides of a codon may cause variations in the evolutionary patterns of a DNA or amino acid sequence. To address the capability of each position of a codon to have non-synonymous mutations, the concept of degree of mutation has been introduced. The degree of mutation of a particular position of codon defines the number of non-synonymous mutations occurring for the substitution of nucleotides at each position of a codon, when other two positions of that codon remain unaltered. A Cellular Automaton (CA), is used as a tool to model the mutations of any one of the four DNA bases A, C, T and G at a time where the DNA bases correspond to the states of the CA cells. Point mutation (substitution type) of a codon which characterizes changes in the amino acids, have been associated with local transition rules of a CA. Though there can be 443 transitions of a 4-state CA with 3-neighbourhood cells, here it has been possible to represent all possible point mutations of a codon in terms of combinations of 16 local transition functions of the CA. Further these rules are divided into 4 classes of equivalence. Also, according to the nature of mutations, the 16 local CA rules of substitutions are classified into 3 sets namely, ‘No Mutation’, ‘Transition’ and ‘Transversion’. The experiment has been carried out with three sets of single nucleotide variations (SNVs) of three different viruses but the symptoms of the diseases caused by them are to some extent similar to each other. They are SARS-CoV-1, SARS-CoV-2 and H1N1 Type A viruses. The aim is to understand the impact of nucleotide substitutions at different positions of a codon with respect to a particular disease phenotype.

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“…Recently, attempts has been made to model COVID-19 spread within the framework of Probabilistic CA [22] and Fuzzy CA [23]. Pokkuluri et.al.…”

Section: Introductionmentioning

confidence: 99%

Analysis of changes occurring in Codon Positions due to mutations through the cellular automata transition rules

Sengupta¹,

Ghosh

Choudhury

2021

Preprint

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Variation in the nucleotides of a codon may cause variations in the evolutionary patterns of a DNA or amino acid sequence. To address the capability of each position of a codon to have non-synonymous mutations, the concept of degree of mutation has been introduced. The degree of mutation of a particular position of codon defines the number of non-synonymous mutations occurring for the substitution of nucleotides at each position of a codon, when other two positions of that codon remain unaltered.A Cellular Automaton (CA), is used as a tool to model the mutations of any one of the four DNA bases A, C, T and G at a time where the DNA bases correspond to the states of the CA cells. Point mutation (substitution type) of a codon which characterizes changes in the amino acids, have been associated with local transition rules of a CA. Though there can be 443transitions of a4-state CA with3-neighbourhood cells, here it has been possible to represent all possible point mutations of a codon in terms of combinations of 16 local transition functions of the CA. Further these rules are divided into 4classes of equivalence. Also, according to the nature of mutations, the 16 local CA rules of substitutions are classified into 3 sets namely, No Mutation, Transition and Transversion. The experiment has been carried out with three sets of single nucleotide variations (SNVs) of three different viruses but the symptoms of the diseases caused by them are to some extent similar to each other. They are SARS-CoV-1, SARS-CoV-2 and H1N1 Type A viruses. The aim is to understand the impact of nucleotide substitutions at different positions of a codon with respect to a particular disease phenotype.

show abstract

Fuzzy Cellular Automata Model for Discrete Dynamical System Representing Spread of MERS and COVID-19 Virus

Cited by 8 publications

References 9 publications

Fuzzy parallel dynamical systems on Zadeh operators

Fuzzy parallel dynamical systems on Zadeh operators

Analysis of Changes Occurring in Codon Positions due to Mutations Through the Cellular Automata Transition Rules

Analysis of changes occurring in Codon Positions due to mutations through the cellular automata transition rules

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