.@jhmi.edu
-Original Message-
From: dave fournier [mailto:da...@otter-rsch.com]
Sent: Friday, December 17, 2010 7:02 AM
To: Ravi Varadhan
Cc: r-help@r-project.org
Subject: Re: [R] Solution to differential equation
Ravi Varadhan wrote:
Because the numerical solution is more flexible. In the exampl
ave fournier
Sent: Friday, December 17, 2010 11:23 AM
To: r-help@r-project.org
Subject: Re: [R] Solution to differential equation
It is not very difficult to integrate this DE numerically.
For parameter estimation it is a good idea for
stability to use a semi-implicit formulation. The idea is
d
AM
To: r-help@r-project.org
Subject: Re: [R] Solution to differential equation
It is not very difficult to integrate this DE numerically.
For parameter estimation it is a good idea for
stability to use a semi-implicit formulation. The idea is
described here.
http://otter-rsch.com/a
It is not very difficult to integrate this DE numerically.
For parameter estimation it is a good idea for
stability to use a semi-implicit formulation. The idea is
described here.
http://otter-rsch.com/admodel/cc4.html
__
R-help@r-project.org mail
Ben Bolker gmail.com> writes:
> Mike Marchywka hotmail.com> writes:
[snip]
> The gsl package has this function, apparently -- it agrees with
> Mathematica/Wolfram Alpha's Hypergeometric2F1 for a single set of
> inputs (2,3,4,0.5), although apparently the algorithm that GSL has
> only conv
oject.org [mailto:r-help-boun...@r-project.org] On
Behalf Of Mike Marchywka
Sent: Friday, December 17, 2010 6:02 AM
To: r-help@r-project.org; msamt...@gmail.com
Subject: Re: [R] Solution to differential equation
sorry, wanted to CC list hit wrong button no caffeine
> > From: rva
Mike Marchywka hotmail.com> writes:
[snip]
> > did you see my earlier post with link to wolfram integrator? Where i also
> > requested anyone wanting to get rid of a copy of G&R Integral Tables to
> > contact me off list since a dog really did eat mine? I think it came up
> > with "F" or hype
sorry, wanted to CC list hit wrong button no caffeine
> > From: rvarad...@jhmi.edu
> > To: rvarad...@jhmi.edu
> > Date: Thu, 16 Dec 2010 22:37:17 -0500
> > CC: r-help@r-project.org; msamt...@gmail.com
> > Subject: Re: [R] Solution to differential equation
>
School of Medicine
Johns Hopkins University
Ph. (410) 502-2619
email: rvarad...@jhmi.edu
- Original Message -
From: Ravi Varadhan
Date: Thursday, December 16, 2010 4:11 pm
Subject: RE: [R] Solution to differential equation
To: 'Ravi Varadhan' , 'Scionforbai'
,
-project.org [mailto:r-help-boun...@r-project.org] On
Behalf Of Scionforbai
Sent: Wednesday, December 15, 2010 12:28 PM
To: mahesh samtani
Cc: r-help@r-project.org
Subject: Re: [R] Solution to differential equation
> I am trying to find the analytical solution to this differential equation
>
PM
To: mahesh samtani
Cc: r-help@r-project.org
Subject: Re: [R] Solution to differential equation
> I am trying to find the analytical solution to this differential equation
>
> dR/dt = k1*(R^k2)*(1-(R/Rmax)); R(0) = Ro
> If there is an analytial solution to this differential equation th
> I am trying to find the analytical solution to this differential equation
>
> dR/dt = k1*(R^k2)*(1-(R/Rmax)); R(0) = Ro
> If there is an analytial solution to this differential equation then it
It is a polynomial function of R, so just develop the expression and
when you get the two terms in R
> Date: Wed, 15 Dec 2010 11:46:40 -0500
> From: msamt...@gmail.com
> To: r-help@r-project.org
> Subject: [R] Solution to differential equation
>
> Hello,
> I am trying to find the analytical solution to this differential equation
ODEs don't get much easier than this... integration by parts is overkill.
See the posting guide re homework.
"mahesh samtani" wrote:
>Hello,
>I am trying to find the analytical solution to this differential
>equation
>
>dR/dt = k1*(R^k2)*(1-(R/Rmax)); R(0) = Ro
>
>k1 and k2 are parameters th
Hello,
I am trying to find the analytical solution to this differential equation
dR/dt = k1*(R^k2)*(1-(R/Rmax)); R(0) = Ro
k1 and k2 are parameters that need to fitted, while Ro and Rmax are the
baseline and max value (which can be fitted or fixed). The response (R)
increases
initially at an exp
t;)
lines(t, y2, col=2)
lines(t, y3, col=3)
lines(t, y4, col=4)
Hope this helps,
Ravi.
-Original Message-
From: r-help-boun...@r-project.org [mailto:r-help-boun...@r-project.org] On
Behalf Of mahesh samtani
Sent: Wednesday, June 30, 2010 10:44 AM
To: r-help@r-project.org
Subject: [R] Solution
Hello,
I am trying to find the analytical solution to this differential equation
dR/dt = k1*R (1-(R/Rmax)^k2); R(0) = Ro
k1, k2, and Rmax are parameters that need to fitted, while Ro is the
baseline value (which can be fitted or fixed). The response (R) increases
initially at an exponential rate
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