Mathematical Models in Biology
Serving as a basic introduction to concepts in deterministic biological modeling, this text shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions.
TABLE OF CONTENTS Mathematical Models in Biology
Subject Index
A
Acorns, dispersal of, 479
Acrasin, 500
Action potential, 314, 316 317, 339
Activation
chemical, 355 356
range of, 517 518, 522
Activator-inhibitor
mechanism (Meinhardt), 305, 528
system, 295 299, 303, 516 518
Active pumps, 314
transport, 316
Adenosine diphosphate (ADP), 304
Adenosine triphosphate (ATP), 304, 335
Adenylate cyclase, 335, 365, 500
Adhesiveness, 542
ADP (adenosine diphosphate), 304
Adult-onset diabetes, 147
Advantageous allele, spread of, 452
Aedes aegypti (mosquito), 103
Affinities, of cells, 540
Agar, 456, 457
Age
classes, discrete, 28, 35
distribution of cells, 463 468
distribution of a population, 437, 468
specific fecundity, 468
structure, discrete, 28
Aggregate
slime mold, 500
shape of, 507
Aggregation, 498 507, 544
of cellular slime molds, condition for, 505, 506 507
domains, 507
as instability, 506ff
onset of, 503, 506, 542
Algae
filamentous, 26
and nutrients, 262
All-or-none behavior, 291
Allee effect, 215 217, 535
Allele, 99ff
advantageous, 452
frequencies, 99
Allosteric
effects, 299
modification, 356
regulation, 304
Alpha- ( ?-) limit set, 191, 379
Alveolus (alveoli), 412
Amoeba (cellular slime molds), 499 502
Amoeboid motility, 502
Analog computer, 324
Anastomosis, 447, 484 485, 544
tip-branch, 484
tip-tip, 484
Angle in standard position, 23
Animal coat patterns, 532 534, 550
Annual plants, 8 11, 16 19, 33
Antenna receptors of moths, 410
Apical growth, branching networks, 445 447, 484 485, 544
Apnea, infant, 60
Arrhythmia, 61
Arthropods, 72
Asymptotic
behavior, 191
stability, 241
ATP (adenosine triphosphate, 304, 335
Attack rate, 223, 368
Attraction, (motion due to), 384, 403, 442
basins of, 293
Attractive force, 403
Autocatalytic reaction, 356
Autonomous, 166
Average age of first infection, 256
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