## Theory and Mathematical Methods in BioinformaticsBioinformatics is an interdisciplinary science which involves molecular bi- ogy, molecular chemistry, physics, mathematics, computational sciences, etc. Mostofthebooksonbiomathematicspublishedwithinthepasttenyearshave consistedofcollectionsofstandardbioinformaticsproblemsandinformational methods,andfocus mainly onthe logisticsofimplementing andmakinguse of various websites, databases, software packages and serving platforms. While these types of books do introduce some mathematical and computational methods alongside the software packages, they are lacking in a systematic and professional treatment of the mathematics behind these methods. It is signi?cant in the ?eld of bioinformatics that not only is the amount of data increasing exponentially, but collaboration is also both widening and deepening among biologists, chemists, physicists, mathematicians, and c- puter scientists. The sheer volume of problems and databases requires - searchers to continually develop software packages in order to process the huge amounts of data, utilizing the latest mathematical methods. The - tent of this book is to provide a professional and in-depth treatment of the mathematical topics necessary in the study of bioinformatics. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

24 | |

25 | |

26 | |

27 | |

XVII | 29 |

XVIII | 31 |

XIX | 33 |

XX | 36 |

XXI | 37 |

XXIII | 40 |

XXIV | 43 |

XXV | 45 |

XXVII | 47 |

XXVIII | 50 |

XXIX | 51 |

XXX | 54 |

XXXI | 57 |

XXXII | 58 |

XXXIV | 59 |

XXXV | 61 |

XXXVI | 64 |

XXXVII | 66 |

XXXVIII | 71 |

XXXIX | 73 |

XL | 76 |

XLII | 78 |

XLIII | 81 |

XLIV | 84 |

XLV | 85 |

XLVII | 87 |

XLVIII | 93 |

LI | 96 |

LII | 100 |

LIII | 102 |

LIV | 104 |

LV | 106 |

LVI | 107 |

LVII | 109 |

LVIII | 111 |

LIX | 113 |

LX | 115 |

LXII | 118 |

LXIII | 121 |

LXIV | 122 |

LXVI | 128 |

LXVII | 131 |

LXVIII | 132 |

LXIX | 135 |

LXX | 137 |

LXXI | 146 |

LXXII | 149 |

LXXIII | 150 |

LXXIV | 156 |

LXXV | 160 |

LXXVI | 164 |

LXXVII | 170 |

LXXVIII | 172 |

LXXX | 174 |

LXXXI | 179 |

LXXXII | 180 |

LXXXIII | 182 |

LXXXIV | 184 |

LXXXV | 188 |

LXXXVI | 191 |

LXXXVII | 197 |

LXXXIX | 200 |

XC | 206 |

XCII | 208 |

XCIII | 210 |

XCIV | 216 |

XCV | 219 |

CVI | 241 |

CVIII | 243 |

CIX | 247 |

CX | 250 |

CXI | 252 |

CXII | 255 |

CXIII | 257 |

CXIV | 259 |

CXVI | 260 |

CXVII | 263 |

CXVIII | 264 |

CXIX | 267 |

CXX | 269 |

CXXI | 271 |

CXXII | 273 |

CXXIII | 275 |

CXXIV | 277 |

CXXV | 279 |

CXXVI | 283 |

CXXVII | 286 |

CXXVIII | 288 |

CXXIX | 291 |

CXXX | 292 |

CXXXI | 293 |

CXXXII | 295 |

CXXXIII | 297 |

CXXXIV | 299 |

CXXXV | 301 |

CXXXVI | 302 |

CXXXVII | 306 |

CXXXVIII | 307 |

CXL | 310 |

CXLI | 314 |

CXLII | 323 |

CXLIII | 325 |

CXLIV | 327 |

CXLV | 329 |

CXLVI | 334 |

CXLVII | 335 |

CXLIX | 338 |

CL | 342 |

CLI | 347 |

CLIII | 353 |

CLIV | 355 |

CLV | 357 |

CLVI | 360 |

CLVII | 362 |

CLVIII | 366 |

CLX | 368 |

CLXI | 371 |

CLXIII | 377 |

CLXIV | 378 |

CLXV | 382 |

CLXVII | 384 |

CLXVIII | 387 |

CLXXI | 390 |

CLXXII | 394 |

CLXXIII | 395 |

CLXXIV | 397 |

CLXXV | 400 |

CLXXVI | 402 |

CLXXVII | 412 |

CLXXVIII | 416 |

CLXXIX | 420 |

CLXXX | 421 |

CLXXXI | 425 |

CLXXXII | 429 |

CLXXXIII | 431 |

CLXXXIV | 433 |

440 | |

### Other editions - View all

### Common terms and phrases

algorithm alignment algorithm alignment output alignment sequences amino acids analysis atoms Bernoulli process bioinformatics BLOSUM calculate computational convex core words defined Definition delete denote depth tendency factor determined directed polyhedron discuss distance estimate example expanded mode follows formula four-atom points gene graph Guangdong homologous inserted length method metric space minimum penalty alignment modulus structure multiple alignment multiple sequence alignment multiple sequences mutated sequence mutation mode mutation network nodes nucleotides obtain optimal alignment pairwise alignment parameters particle system penalty function penalty matrix phylogenetic tree plane polyhedron primary structure probability distribution properties protein backbone protein primary structure protein sequences protein three-dimensional structures radius relationship result SARS segments sequence alignment shifting mutation sphere stable region statistical stochastic sequence Swiss-Prot Table Theorem torsion angle type-II type-IV mutations types uniform alignment vector virtual symbol operator zero depth

### Popular passages

Page 439 - T. (1996). Multiple DNA and protein sequence alignment based on segment-to-segment comparison. Proc. Natl. Acad. Sci. USA, 93:12098-12103.

Page ii - Prohofsky, Department of Physics, Purdue University, West Lafayette, Indiana, USA Andrew Rubin, Department of Biophysics, Moscow State University, Moscow, Russia Michael Seibert, National Renewable Energy Laboratory, Golden, Colorado, USA David Thomas, Department of Biochemistry, University...

Page 438 - Jiang, T: On the complexity of multiple sequence alignment. J. Comput. Biol. 1, 337-348 (1994) 12.