Re: solve and simplify. force left hand side to be 0==

• To: mathgroup at smc.vnet.net
• Subject: [mg51177] Re: [mg51152] solve and simplify. force left hand side to be 0==
• From: "David Park" <djmp at earthlink.net>
• Date: Thu, 7 Oct 2004 05:26:03 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Sean,

Just Map Simplify to the appropriate level.

sde = {
0 == v1 - d1 e[0] + k2 es[0] - k1 e[0] s[0],
0 == -k2 es[0] - k3 es[0] + k1 e[0] s[0],
0 == k3 es[0] - d3 p[0],
0 == v2 + k2 es[0] - d2 s[0] - k1 e[0] s[0]};
sv = {e[0], es[0], p[0], s[0]};

step1 = Solve[sde[[1]], e[0]][[1, 1]]

sde1 = sde /. step1
Map[Simplify, %, {2}]

David Park

From: sean kim [mailto:sean_incali at yahoo.com]
To: mathgroup at smc.vnet.net

consider a system such as,

sde = {
0==v1-d1 e[0]+k2 es[0]-k1 e[0] s[0],
0==-k2 es[0]-k3 es[0]+k1 e[0] s[0],
0==k3 es[0]-d3 p[0],
0==v2+k2 es[0]-d2 s[0]-k1 e[0] s[0]};

sv = {e[0],es[0],p[0],s[0]};

Solve[sde[[1]], e[0]]

sde1= sde/.%

%//Simplify

shows once I simplify the solution, the structure of
0== stuff... is lost.

is there anyway to force Simplify to keep the
structure so that left hand side is always 0== stuff?

thanks in advance  for any insights.

sean

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