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SHA3-256: 3f3572ba937caa78f421cb24d13e4db30248bca11e27b18c54bd48be30d06ef6
User & Date: gawthrop@users.sourceforge.net on 2014-04-07 04:41:32
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Context
2014-04-18
00:31:40
Latex matrix with no parentheses check-in: 516c461cd9 user: gawthrop@users.sourceforge.net tags: origin/master, trunk
2014-04-07
04:41:32
Working version check-in: 3f3572ba93 user: gawthrop@users.sourceforge.net tags: origin/master, trunk
2014-03-26
04:37:32
New AE version with k_e check-in: 9d4aaf3744 user: gawthrop@users.sourceforge.net tags: origin/master, trunk
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Added mttroot/mtt/lib/cr/r/MA.cr version [20d6e70f26]. 



























































































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%SUMMARY MA: Mass-action kinetics for Re
%DESCRIPTION Parameter 1: kappa

OPERATOR MA;

%%% Two port version (standard)
FOR ALL n_out, A_f, A_r, kappa
LET MA(R, flow,kappa,flow,n_out,	
   A_f,effort,1,	
   A_r,effort,2) = kappa*(exp(A_f/RT) - exp(A_r/RT));


%%% Four port version (stoichiometric) with integral causality
%% Flows on ports 1 & 2 = flow on port 3.
FOR ALL A_f, A_r, v_1, v_2,kappa
LET MA(R, flow,kappa,flow,1,	
   A_f,effort,1,	
   A_r,effort,2,
   v_1,flow,3,
   v_2,effort,4) = v_1;

FOR ALL A_f, A_r, v_1, v_2,kappa
LET MA(R, flow,kappa,flow,2,	
   A_f,effort,1,	
   A_r,effort,2,
   v_1,flow,3,
   v_2,effort,4) = v_1;

%% Flow on port 4 is induced flow
FOR ALL A_f, A_r, v_1, v_2,kappa
LET MA(R, flow,kappa,flow,4,	
   A_f,effort,1,	
   A_r,effort,2,
   v_1,flow,3,
   v_2,effort,4) = kappa*(exp(A_f/RT) - exp(A_r/RT));

%%% Four port version (stoichiometric) with flow imposed on port 1
%% Flow on port 2 = flow on port 1
FOR ALL A_1,A_2,A_3,A_4, v_1,v_2,v_3,v_4, kappa
LET MA(R, flow,kappa,flow,2,	
   v_1,flow,1,	
   A_2,effort,2,
   v_3,flow,3,
   A_4,effort,4) = v_1;

%% Flow on port 4 = flow on port 1
FOR ALL A_1,A_2,A_3,A_4, v_1,v_2,v_3,v_4, kappa
LET MA(R, flow,kappa,flow,4,	
   v_1,flow,1,	
   A_2,effort,2,
   v_3,flow,3,
   A_4,effort,4) = v_1;

%% Effort on port 1
FOR ALL A_1,A_2,A_3,A_4,v_1,v_2,v_3,v_4,kappa
LET MA(R,flow,kappa,effort,1,
   v_1,flow,1,	
   A_2,effort,2,
   v_3,flow,3,
   A_4,effort,4) = RT*log( (v_1/kappa) + exp(A_2/RT) );


%%% Four port version (stoichiometric) with flow imposed on port 2

%% Flow on port 1 = flow on port 2
FOR ALL A_1,A_2,A_3,A_4, v_1,v_2,v_3,v_4, kappa
LET MA(R, flow,kappa,flow,1,	
   A_1,effort,1,	
   v_2,flow,2,
   v_3,flow,3,
   A_4,effort,4) = v_2;

%% Flow on port 4 = flow on port 2
FOR ALL A_1,A_2,A_3,A_4, v_1,v_2,v_3,v_4, kappa
LET MA(R, flow,kappa,flow,4,	
   A_1,effort,1,	
   v_2,flow,2,
   v_3,flow,3,
   A_4,effort,4) = v_2;

%% Effort on port 2
FOR ALL A_1,A_2,A_3,A_4,v_1,v_2,v_3,v_4,kappa
LET MA(R,flow,kappa,effort,2,
   A_1,effort,1,	
   v_2,flow,2,
   v_3,flow,3,
   A_4,effort,4) = RT*log( (v_2/kappa) + exp(A_1/RT) );
























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