fitPolynomialModelGprimeConcentration<-function(Gprime,polymer_conc_mgmL,n=2.5, do_full_fit=TRUE)
{
OK= !is.na(Gprime) & !is.na(polymer_conc_mgmL)
Gprime=Gprime[OK]
polymer_conc_mgmL=polymer_conc_mgmL[OK]
c0=min(polymer_conc_mgmL)*0.9
A=max(Gprime)/(max(polymer_conc_mgmL)-c0)^n
logGprime=log(Gprime)
for(ind in 1:100)
{
coeffs=coefficients(nls(logGprime~logpolynomial_model(polymer_conc_mgmL,A,c0,n),
start=list(A=A),control=nls.control(warnOnly=TRUE)))
A=coeffs[["A"]]
coeffs=coefficients(nls(logGprime~logpolynomial_model(polymer_conc_mgmL,A,c0,n),
start=list(A=A,n=n),control=nls.control(warnOnly=TRUE)))
A=coeffs[["A"]]
n=coeffs[["n"]]
coeffs=coefficients(nls(logGprime~logpolynomial_model(polymer_conc_mgmL,A,c0,n),
start=list(c0=c0,A=A),control=nls.control(warnOnly=TRUE)))
A=coeffs[["A"]]
c0=coeffs[["c0"]]
coeffs=coefficients(nls(logGprime~logpolynomial_model(polymer_conc_mgmL,A,c0,n),start=list(n=n,A=A),control=nls.control(warnOnly=TRUE)))
A=coeffs[["A"]]
n=coeffs[["n"]]
}
if(do_full_fit)
{
coeffs=coefficients(nls(logGprime~logpolynomial_model(polymer_conc_mgmL,A,c0,n),start=
list(n=n,A=A,c0=c0),control=nls.control(warnOnly=TRUE)))
A=coeffs[["A"]]
n=coeffs[["n"]]
c0=coeffs[["c0"]]
}
return(list(A=A,n=n,c0=c0))
}
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