Nonlinear differential equations and their application to evaluating the integrated impacts of multiple parameters on the biochemical safety of drinking water
Copyright © 2024. Published by Elsevier Ltd..
The present study aimed to narrow such gaps by applying nonlinear differential equations to biostability in drinking water. Biostability results from the integrated dynamics of nutrients and disinfectants. The linear dynamics of biostability have been well studied, while there remain knowledge gaps concerning nonlinear effects. The nonlinear effects are explained by phase plots for specific scenarios in a drinking water system, including continuous nutrient release, flush exchange with the adjacent environment, periodic pulse disinfection, and periodic biofilm development. The main conclusions are, (1) The correlations between the microbial community and nutrients go through phases of linear, nonlinear, and chaotic dynamics. Disinfection breaks the chaotic phase and returns the system to the linear phase, increasing the microbial growth potential. (2) Post-disinfection after multiple microbial peaks produced via metabolism can increase disinfection efficiency and decrease the risks associated with disinfectant byproduct risks. This can provide guidelines for optimizing the disinfection strategy, according to the long-term water safety target or a short management. Limited disinfection and ultimate disinfection may be more effective and have low chemical risk, facing longer stagnant conditions. (3) Periodic biofilm formation and biofilm detachment increase the possibility of uncertainty in the chaotic phase. For future study, nonlinear differential equation models can accordingly be applied at the molecular and ecological levels to further explore more nonlinear regulation mechanisms.
| Medienart: |
E-Artikel |
|---|
| Erscheinungsjahr: |
2024 |
|---|---|
| Erschienen: |
2024 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:355 |
|---|---|
| Enthalten in: |
Journal of environmental management - 355(2024) vom: 30. März, Seite 120493 |
| Sprache: |
Englisch |
|---|
| Beteiligte Personen: |
Chen, Xiao [VerfasserIn] |
|---|
| Links: |
|---|
| Themen: |
4R7X1O2820 |
|---|
| Anmerkungen: |
Date Completed 25.03.2024 Date Revised 25.03.2024 published: Print-Electronic Citation Status MEDLINE |
|---|
| doi: |
10.1016/j.jenvman.2024.120493 |
|---|
| funding: |
|
|---|---|
| Förderinstitution / Projekttitel: |
|
| PPN (Katalog-ID): |
NLM369423704 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | NLM369423704 | ||
| 003 | DE-627 | ||
| 005 | 20240325235117.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 240308s2024 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.jenvman.2024.120493 |2 doi | |
| 028 | 5 | 2 | |a pubmed24n1346.xml |
| 035 | |a (DE-627)NLM369423704 | ||
| 035 | |a (NLM)38452624 | ||
| 035 | |a (PII)S0301-4797(24)00479-1 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 100 | 1 | |a Chen, Xiao |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Nonlinear differential equations and their application to evaluating the integrated impacts of multiple parameters on the biochemical safety of drinking water |
| 264 | 1 | |c 2024 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ƒaComputermedien |b c |2 rdamedia | ||
| 338 | |a ƒa Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Date Completed 25.03.2024 | ||
| 500 | |a Date Revised 25.03.2024 | ||
| 500 | |a published: Print-Electronic | ||
| 500 | |a Citation Status MEDLINE | ||
| 520 | |a Copyright © 2024. Published by Elsevier Ltd. | ||
| 520 | |a The present study aimed to narrow such gaps by applying nonlinear differential equations to biostability in drinking water. Biostability results from the integrated dynamics of nutrients and disinfectants. The linear dynamics of biostability have been well studied, while there remain knowledge gaps concerning nonlinear effects. The nonlinear effects are explained by phase plots for specific scenarios in a drinking water system, including continuous nutrient release, flush exchange with the adjacent environment, periodic pulse disinfection, and periodic biofilm development. The main conclusions are, (1) The correlations between the microbial community and nutrients go through phases of linear, nonlinear, and chaotic dynamics. Disinfection breaks the chaotic phase and returns the system to the linear phase, increasing the microbial growth potential. (2) Post-disinfection after multiple microbial peaks produced via metabolism can increase disinfection efficiency and decrease the risks associated with disinfectant byproduct risks. This can provide guidelines for optimizing the disinfection strategy, according to the long-term water safety target or a short management. Limited disinfection and ultimate disinfection may be more effective and have low chemical risk, facing longer stagnant conditions. (3) Periodic biofilm formation and biofilm detachment increase the possibility of uncertainty in the chaotic phase. For future study, nonlinear differential equation models can accordingly be applied at the molecular and ecological levels to further explore more nonlinear regulation mechanisms | ||
| 650 | 4 | |a Journal Article | |
| 650 | 4 | |a Biological stability | |
| 650 | 4 | |a Chemical safety | |
| 650 | 4 | |a Dynamic process | |
| 650 | 4 | |a Nonlinear delay differential equations | |
| 650 | 7 | |a Drinking Water |2 NLM | |
| 650 | 7 | |a Chlorine |2 NLM | |
| 650 | 7 | |a 4R7X1O2820 |2 NLM | |
| 650 | 7 | |a Disinfectants |2 NLM | |
| 700 | 1 | |a Wu, Xiao-Nan |e verfasserin |4 aut | |
| 700 | 1 | |a Feng, Jing-Chun |e verfasserin |4 aut | |
| 700 | 1 | |a Wang, Yi |e verfasserin |4 aut | |
| 700 | 1 | |a Zhang, Xiao-Chun |e verfasserin |4 aut | |
| 700 | 1 | |a Lin, Yi-Lei |e verfasserin |4 aut | |
| 700 | 1 | |a Wang, Bin |e verfasserin |4 aut | |
| 700 | 1 | |a Zhang, Si |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Journal of environmental management |d 2001 |g 355(2024) vom: 30. März, Seite 120493 |w (DE-627)NLM112866786 |x 1095-8630 |7 nnns |
| 773 | 1 | 8 | |g volume:355 |g year:2024 |g day:30 |g month:03 |g pages:120493 |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1016/j.jenvman.2024.120493 |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a GBV_NLM | ||
| 951 | |a AR | ||
| 952 | |d 355 |j 2024 |b 30 |c 03 |h 120493 | ||