Difference between revisions of "ERF of waterborne microbes"
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(→Rationale: sapovirus added) 
(→Data: typo corrected) 

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:{{argumentrelat1=commentid=arg2087type=truthcontent=The ERF and Threshold numbers in the tables correspond to parameters called alpha and beta respectively in the papers cited below in the cases of campylo, rota, noro and crypto. The equations alpha and beta are used in in the papers don't (seem to) match the equations below. At least for campylo the equations are significantly more complicated. For giardia the value in ERF does seem to be used in the paper it's from in the way the exponential equation shows. In the paper it's marked as r, the probability of infection. The equation in the paper uses "mean number per portion" where Dose is in this equation. ''E.coli'' is the biggest mystery: I wasn't able to find the numbers in the table above from the paper sited for it at all. sign=[[User:HetaHeta]] ([[User talk:Hetatalk]]) 10:32, 12 July 2019 (UTC)}}  :{{argumentrelat1=commentid=arg2087type=truthcontent=The ERF and Threshold numbers in the tables correspond to parameters called alpha and beta respectively in the papers cited below in the cases of campylo, rota, noro and crypto. The equations alpha and beta are used in in the papers don't (seem to) match the equations below. At least for campylo the equations are significantly more complicated. For giardia the value in ERF does seem to be used in the paper it's from in the way the exponential equation shows. In the paper it's marked as r, the probability of infection. The equation in the paper uses "mean number per portion" where Dose is in this equation. ''E.coli'' is the biggest mystery: I wasn't able to find the numbers in the table above from the paper sited for it at all. sign=[[User:HetaHeta]] ([[User talk:Hetatalk]]) 10:32, 12 July 2019 (UTC)}}  
−  In these equations, Param1 and Param2 are in Threshold  +  In these equations, Param1 and Param2 are in ERF and Threshold, respectively. 
* Beta Poisson approximation: 1(1+Dose/Param2)^Param1  * Beta Poisson approximation: 1(1+Dose/Param2)^Param1  
* Exact beta Poisson: 1exp((Param1/(Param1+Param2))*Dose)  * Exact beta Poisson: 1exp((Param1/(Param1+Param2))*Dose) 
Latest revision as of 08:59, 6 February 2022
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Question
What are the doseresponse functions of pathogens in drinking water?
Answer
Rationale
Data
Obs  Exposure agent  Response  Exposure  Exposure unit  ER function  Scaling  Threshold  ERF  Description 

1  campylobacter  campylobacter infection  ingestion  ?  beta poisson approximation  None  0.011  0.024  
2  rotavirus  rotavirus infection  ingestion  ?  exact beta poisson  None  0.191  0.167  
3  norovirus  norovirus infection  ingestion  ?  exact beta poisson  None  0.055  0.04  
4  sapovirus  sapovirus infection  ingestion  ?  exact beta poisson  None  0.055  0.04  
5  cryptosporidium  cryptosporidium infection  ingestion  ?  exact beta poisson  None  0.176  0.115  
6  giardia  giardia infection  ingestion  ?  exponential  None  0  0.0199  
7  E.coli O157:H7  E.coli O157:H7 infection  ingestion  ?  exact beta poisson  None  9.16  0.157  E. coli O157:H7 strain 
Obs  Response  Illness  Subgroup  Result 

1  giardia infection  gastroenteritis  1  
2  cryptosporidium infection  gastroenteritis  0.71  
3  cryptosporidium infection  death  Age:04  0.00000070645 
4  cryptosporidium infection  death  Age:59  0 
5  cryptosporidium infection  death  Age:1014  0 
6  cryptosporidium infection  death  Age:1564  0.000014839 
7  cryptosporidium infection  death  Age:6579  0.0011644 
8  cryptosporidium infection  death  Age:80+  0.0011644 
9  norovirus infection  gastroenteritis  0.7  
10  norovirus infection  death  Age:04  0.000002058 
11  norovirus infection  death  Age:59  0 
12  norovirus infection  death  Age:1014  0 
13  norovirus infection  death  Age:1564  0 
14  norovirus infection  death  Age:6579  0.000168 
15  norovirus infection  death  Age:80+  0.000168 
16  sapovirus infection  gastroenteritis  0.7  
17  sapovirus infection  death  Age:04  0.000002058 
18  sapovirus infection  death  Age:59  0 
19  sapovirus infection  death  Age:1014  0 
20  sapovirus infection  death  Age:1564  0 
21  sapovirus infection  death  Age:6579  0.000168 
22  sapovirus infection  death  Age:80+  0.000168 
23  rotavirus infection  gastroenteritis  0.5  
24  rotavirus infection  death  Age:04  0.00001917 
25  rotavirus infection  death  Age:59  0 
26  rotavirus infection  death  Age:1014  0 
27  rotavirus infection  death  Age:1564  0 
28  rotavirus infection  death  Age:6579  0 
29  rotavirus infection  death  Age:80+  0 
30  campylobacter infection  gastroenteritis  0.323  
31  campylobacter infection  clinical GuillianBarré syndrome  0.000066  
32  campylobacter infection  residual Guillian Barré syndrome  0.000066  
33  campylobacter infection  reactive arthritis  0.0066  
34  campylobacter infection  death  0.000131  
35  E.coli O157:H7 infection  gastroenteritis  0.4346  
36  E.coli O157:H7 infection  hemorrhagic colitis  0.3854  
37  E.coli O157:H7 infection  haemolytic uraemic syndrome  0.0082  
38  E.coli O157:H7 infection  end stage renal disease  0.0009676  
39  E.coli O157:H7 infection  death  0.00062238 
⇤arg6688: . Find out the units of the parameters to understand the functions precisely. Jouni (talk) 12:54, 11 July 2019 (UTC) (type: truth; paradigms: science: attack)
 arg2087: . The ERF and Threshold numbers in the tables correspond to parameters called alpha and beta respectively in the papers cited below in the cases of campylo, rota, noro and crypto. The equations alpha and beta are used in in the papers don't (seem to) match the equations below. At least for campylo the equations are significantly more complicated. For giardia the value in ERF does seem to be used in the paper it's from in the way the exponential equation shows. In the paper it's marked as r, the probability of infection. The equation in the paper uses "mean number per portion" where Dose is in this equation. E.coli is the biggest mystery: I wasn't able to find the numbers in the table above from the paper sited for it at all. Heta (talk) 10:32, 12 July 2019 (UTC) (type: truth; paradigms: science: comment)
In these equations, Param1 and Param2 are in ERF and Threshold, respectively.
 Beta Poisson approximation: 1(1+Dose/Param2)^Param1
 Exact beta Poisson: 1exp((Param1/(Param1+Param2))*Dose)
 Exponential: 1exp(Param1*Dose)
Pathogen  Reference 
Campylobacter  ^{[1]} ^{[2]} 
Rotavirus  ^{[3]} ^{[2]} 
Norovirus  ^{[4]} 
Sapovirus  ^{[5]} 
Cryptosporidium  ^{[6]}^{[2]} 
Giardia  ^{[7]} 
E.coli O157:H7  ^{[8]} 
Calculations
⇤arg5268: . The code below is old and does not work with the new ERF table. Jouni (talk) 12:54, 11 July 2019 (UTC) (type: truth; paradigms: science: attack)
See also
References
 ↑ Teunis, P., van den Brandhof, W., Nauta, M., Wagenaar, J., van den Kerkhof, H. and van Pelt, W. 2005. A reconsideration of the Campylobacter dose–response relation. Epidemiol. Infec. 133, 583592. DOI: https://doi.org/10.1017/S0950268805003912
 ↑ ^{2.0} ^{2.1} ^{2.2} WHO Guidelines for drinkingwater quality 2017. ISBN 9789241549950 [1]
 ↑ Teunis, P. F. M. and Havelaar, A. 2000. "The beta Poisson dose‐response model is not a single hit model."Risk Analysis 20(4): 513520. https://doi.org/10.1111/02724332.204048
 ↑ Teunis P.F.M., Moe, C.L., Liu, P., Miller, S.E., Lindesmith, L., Baric, R.S., Le Pendu, J., Calderon, R.L. 2008. Norwalk Virus: How Infectious is It? Journal of Medical Virology 80:14681476. https://doi.org/10.1002/jmv.21237
 ↑ Teunis P.F.M., Moe, C.L., Liu, P., Miller, S.E., Lindesmith, L., Baric, R.S., Le Pendu, J., Calderon, R.L. 2008. Norwalk Virus: How Infectious is It? Journal of Medical Virology 80:14681476. https://doi.org/10.1002/jmv.21237
 ↑ Teunis, P.F.M., Chappell, C.L., Okhuysen, P.C. 2002. Cryptosporidium Dose Response Studies: Variation Between Isolates. Risk Analysis 22(1) 175183 https://doi.org/10.1111/02724332.00014
 ↑ Teunis, P.F.M., van der Heijden, O.G., van der Giessen, J.W.B., Havelaar, A.H. 1996. The doseresponse relation in human volunteers for gastrointestinal pathogens. RIVM report No. 284550002. http://hdl.handle.net/10029/9966
 ↑ Teunis, P., Takumi, K. and Shinagawa, K. 2004. "Dose response for infection by Escherichia coli O157:H7 from outbreak data." Risk Analysis 24(2): 401‐407. https://doi.org/10.1111/j.02724332.2004.00441.x