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Table 5 Results of using quadratic polynomial Eq. 8 to fit the surfaces in Fig. 10 for \(D_m\) database sequences and \(Q_m\) query sequences on Type V nodes.

From: Profiling the BLAST bioinformatics application for load balancing on high-performance computing clusters

Function

Input

Coefficients

x

y

\(\user2{c}_{1}\)

\(\user2{c}_{2}\)

\(\user2{c}_{3}\)

\(\user2{c}_{4}\)

\(\user2{c}_{5}\)

\(\user2{c}_{6}\)

(\(x^2\))

(xy)

(\(y^2\))

(x)

(y)

(1)

a

\(log(D_m)\)

\(Q_m\)

−3.0722

143.6097

3.7202

22.4770

881.6166

30.0805

b

\(D_m\)

\(Q_m\)

0

92.8758

0

0.1523

244.7267

0.4292

c

\(D_m\)

\(Q_m\)

0

4,429.4587

0

57.7969

94.9201

0.1854

d

\(D_m\)

\(Q_m\)

0

19.2608

0

−2.6282

90.1090

0.2345

e

\(log(D_m)\)

\(Q_m\)

−2.0973

33.3526

2.0294

12.8749

181.6523

18.8566

  1. Functions a and e are saddle-like, but functions b, c and d degenerated to planes due to the zero coefficients