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In particular, SNPs are organized into a Hamming distance-based tree that minimizes the number of arithmetic operations required to calculate the association of a SNP by making use of the association of its parent SNP in the tree.

Daniel M. Gatti et al.

Bioinformatics 25 (4), 15 Feb 2009

We show that different parameterizations of a simple chemical kinetic model of transcriptional regulation are able to approximate all four standard arithmetic operations: addition, subtraction, multiplication, and division, as well as various equality and inequality operations.

Sean M. Cory et al.

PLoS Computational Biology 4 (5), 01 May 2008

We analyze chemical kinetic models of transcriptional gene regulation and show that even simple models are capable of nearly arbitrary analog computations, ranging from elementary arithmetic operations to general analytic functions.

Sean M. Cory et al.

PLoS Computational Biology 4 (5), 01 May 2008

Different choices for the kinetic rates allow the gene to approximate different binary arithmetic operations: addition, subtraction, multiplication, division, and testing for equality and various inequalities.

Sean M. Cory et al.

PLoS Computational Biology 4 (5), 01 May 2008

By employing subsets of the allowed reactions and setting kinetic parameters appropriately, different arithmetic operations can be approximated, with [ A tot ] and [ B tot ] treated as the inputs. (See Figure 2 for a summary.) For example, consider Equation 24 under the conditions: (i) r d  = 0, (ii) K ab  =  K ba  = 0, (iii) r o  = 0, (iv) r tz r a K oa  =  r tz r b K ob  =  d t d z , (v) K oa [ A ]≪1, and (vi) K ob [ B ]≪1.

Sean M. Cory et al.

PLoS Computational Biology 4 (5), 01 May 2008

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