Passivity analysis of discrete-time genetic regulatory networks with reaction-diffusion coupling and delay-dependent stability criteria Article Swipe
Yongwei Yang
,
Yang Yu
,
Chunyun Xu
,
Chengye Zou
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.3934/era.2025136
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.3934/era.2025136
Gene regulatory networks (GRNs) play a crucial role in biological processes, with their dynamic behaviors heavily influenced by the spatial organization of genes. In particular, reaction-diffusion mechanisms govern the coupling between adjacent spatial locations in continuous time GRNs. However, traditional models often ignore the spatial coupling and reaction-diffusion properties of these networks, especially in discrete-time settings. In order to solve this problem, a new discrete-time gene regulatory network model is proposed in this paper, which explicitly considers the mutual coupling between adjacent spatial positions. To ensure the passivity of the proposed model, delay-dependent stability criteria are established by constructing appropriate Lyapunov-Krasovskii functions formulated in terms of linear matrix inequalities. To showcase the effectiveness and validity of this approach, a numerical example is presented in this paper. The results reveal that the model accurately captures the spatial coupling and reaction-diffusion nature of gene regulatory networks in discrete time settings.
Related Topics
Concepts
Passivity
Stability (learning theory)
Discrete time and continuous time
Diffusion
Reaction–diffusion system
Coupling (piping)
Control theory (sociology)
Mathematics
Computer science
Physics
Engineering
Mathematical analysis
Statistics
Quantum mechanics
Control (management)
Machine learning
Mechanical engineering
Artificial intelligence
Electrical engineering
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3934/era.2025136
- OA Status
- gold
- References
- 25
- Related Works
- 10
- OpenAlex ID
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All OpenAlex metadata
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https://openalex.org/W4410578528Canonical identifier for this work in OpenAlex
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https://doi.org/10.3934/era.2025136Digital Object Identifier
- Title
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Passivity analysis of discrete-time genetic regulatory networks with reaction-diffusion coupling and delay-dependent stability criteriaWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
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2025-01-01Full publication date if available
- Authors
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Yongwei Yang, Yang Yu, Chunyun Xu, Chengye ZouList of authors in order
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https://doi.org/10.3934/era.2025136Publisher landing page
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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- Concepts
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Passivity, Stability (learning theory), Discrete time and continuous time, Diffusion, Reaction–diffusion system, Coupling (piping), Control theory (sociology), Mathematics, Computer science, Physics, Engineering, Mathematical analysis, Statistics, Quantum mechanics, Control (management), Machine learning, Mechanical engineering, Artificial intelligence, Electrical engineeringTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.paper, | 73 |
| abstract_inverted_index.paper. | 125 |
| abstract_inverted_index.reveal | 128 |
| abstract_inverted_index.between | 30, 80 |
| abstract_inverted_index.crucial | 6 |
| abstract_inverted_index.dynamic | 13 |
| abstract_inverted_index.example | 120 |
| abstract_inverted_index.heavily | 15 |
| abstract_inverted_index.network | 67 |
| abstract_inverted_index.results | 127 |
| abstract_inverted_index.spatial | 19, 32, 44, 82, 135 |
| abstract_inverted_index.However, | 38 |
| abstract_inverted_index.adjacent | 31, 81 |
| abstract_inverted_index.captures | 133 |
| abstract_inverted_index.coupling | 29, 45, 79, 136 |
| abstract_inverted_index.criteria | 94 |
| abstract_inverted_index.discrete | 145 |
| abstract_inverted_index.networks | 2, 143 |
| abstract_inverted_index.problem, | 61 |
| abstract_inverted_index.proposed | 70, 90 |
| abstract_inverted_index.showcase | 110 |
| abstract_inverted_index.validity | 114 |
| abstract_inverted_index.approach, | 117 |
| abstract_inverted_index.behaviors | 14 |
| abstract_inverted_index.considers | 76 |
| abstract_inverted_index.functions | 101 |
| abstract_inverted_index.locations | 33 |
| abstract_inverted_index.networks, | 51 |
| abstract_inverted_index.numerical | 119 |
| abstract_inverted_index.passivity | 87 |
| abstract_inverted_index.presented | 122 |
| abstract_inverted_index.settings. | 55, 147 |
| abstract_inverted_index.stability | 93 |
| abstract_inverted_index.accurately | 132 |
| abstract_inverted_index.biological | 9 |
| abstract_inverted_index.continuous | 35 |
| abstract_inverted_index.especially | 52 |
| abstract_inverted_index.explicitly | 75 |
| abstract_inverted_index.formulated | 102 |
| abstract_inverted_index.influenced | 16 |
| abstract_inverted_index.mechanisms | 26 |
| abstract_inverted_index.positions. | 83 |
| abstract_inverted_index.processes, | 10 |
| abstract_inverted_index.properties | 48 |
| abstract_inverted_index.regulatory | 1, 66, 142 |
| abstract_inverted_index.appropriate | 99 |
| abstract_inverted_index.established | 96 |
| abstract_inverted_index.particular, | 24 |
| abstract_inverted_index.traditional | 39 |
| abstract_inverted_index.constructing | 98 |
| abstract_inverted_index.organization | 20 |
| abstract_inverted_index.discrete-time | 54, 64 |
| abstract_inverted_index.effectiveness | 112 |
| abstract_inverted_index.inequalities. | 108 |
| abstract_inverted_index.delay-dependent | 92 |
| abstract_inverted_index.reaction-diffusion | 25, 47, 138 |
| abstract_inverted_index.Lyapunov-Krasovskii | 100 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile.value | 0.17634625 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |