forked from gfrd/egfrd
-
Notifications
You must be signed in to change notification settings - Fork 0
/
gillespie.py
548 lines (407 loc) · 15.6 KB
/
gillespie.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
#!/usr/env python
import numpy
import weakref
import logging
import os
from _gfrd import * # FIX ME
from _greens_functions import EventType # FIX ME
import utils
import logger
import myrandom
log = logging.getLogger('gillespie')
def rng_uniform():
'''Returns a positive random number
'''
while True:
rng = myrandom.uniform(0.0, 1.0)
if rng > 0.0: return rng
class Logger(logger.Logger):
def __init__(self, logname='log', directory='data', comment=''):
logger.Logger.__init__(self, logname, directory, comment)
def prepare_timecourse_file(self, simulator):
if not os.path.exists(self.directory):
os.mkdir(self.directory)
timecourse_filename = '%s_tc.dat' % self.logname
self.timecourse_file = open(
os.path.join(self.directory, timecourse_filename), 'w')
self.write_timecourse_comment(self.comment)
species_name_list = '\'' + \
"\', \'".join(str(id) for id in simulator.get_species_id()) + '\''
columns = '[\'t\', ' + species_name_list + ']'
self.write_timecourse_comment('@ columns= ' + columns)
def write_timecourse(self, simulator):
data = []
self.timecourse_file.write('%g\t' % simulator.t)
self.timecourse_file.write('\t'.join(
str(simulator.get_pool_size(id))
for id in simulator.get_species_id()) + '\n')
self.timecourse_file.flush()
def write_particles(self, simulator):
# dummy
pass
class Delegate(object):
def __init__(self, obj, method):
self.ref = weakref.ref(obj)
self.method = method
def __call__(self, *arg):
return self.method(self.ref(), *arg)
class ReactionRuleCache(object):
def __init__(self, rr, reactants, products, k):
self.rr = rr
self.reactants = reactants
self.products = products
self.k = k
self.eventID = None
self.eventType = None
def accessors(self):
if self.eventType == EventType.SINGLE_REACTION: # FIX ME
return self.reactants
else:
return []
def mutators(self):
if self.eventType == EventType.SINGLE_REACTION: # FIX ME
return self.reactants + self.products
else:
return []
def is_dependent_on(self, rr):
for id1 in self.accessors():
if id1 in rr.mutators():
return True
return False
class GillespieSimulatorBase(object):
def __init__(self):
self.model = None
self.speciesDict = {}
self.stateArray = numpy.array([])
self.set_volume(utils.INF)
def set_model(self, model):
self.model = model
def initialize(self):
pass
def reset(self):
pass
def set_world_size(self, size):
if size == utils.INF:
self.set_volume(utils.INF)
else:
volume = (size * size * size) * 1e+3
self.set_volume(volume)
def get_world_size(self):
return (self.volume * 1e+3) ** (1.0 / 3.0)
def set_volume(self, volume):
self.volume = volume
def get_volume(self):
return self.volume
def create_reaction_rule_cache(self, rr):
reactants = [id for id in rr.reactants]
products = [id for id in rr.products]
if len(reactants) == 1:
k = float(rr['k'])
elif len(reactants) == 2:
st1 = self.model.get_species_type_by_id(reactants[0])
st2 = self.model.get_species_type_by_id(reactants[1])
D = float(st1['D']) + float(st2['D'])
sigma = float(st1['radius']) + float(st2['radius'])
kD = utils.k_D(D, sigma)
k = float(rr['k'])
if kD == 0.0:
k = 0.0
elif k != 0.0:
k = utils.k_on(k, kD) * (1000 * utils.N_A)
return ReactionRuleCache(rr, reactants, products, k)
def get_reaction_rule1(self, st):
return self.__get_reaction_rule(st)
def get_reaction_rule2(self, st1, st2):
return self.__get_reaction_rule(st1, st2)
def __get_reaction_rule(self, *args):
gen = self.model.network_rules.query_reaction_rule(*args)
if gen == None:
return []
retval = []
for rr in gen:
if float(rr['k']) == 0:
continue
retval.append(self.create_reaction_rule_cache(rr))
return retval
def clear(self):
pass
def get_pool_size(self, id):
if id in self.speciesDict.keys():
return self.stateArray[self.speciesDict[id]]
else:
return 0.0
def remove_particles(self, st, n):
if __debug__:
log.info('removing in %s %s particles' % (n, st.id))
if st.id not in self.speciesDict.keys():
raise RuntimeError, '%s species doesn\'t exist.' % (st.id)
self.stateArray[self.speciesDict[st.id]] -= n
def throw_in_particles(self, st, n):
if __debug__:
log.info('throwing in %s %s particles' % (n, st.id))
if not st.id in self.speciesDict.keys():
raise RuntimeError, '%s species doesn\'t exist.' % (st.id)
self.stateArray[self.speciesDict[st.id]] += n
def add_species(self, id):
i = len(self.stateArray)
self.stateArray = numpy.resize(self.stateArray, i + 1)
self.stateArray[i] = 0.0
self.speciesDict[id] = i
def check(self):
pass
def dump_population(self):
buf = ''
# for id, i in self.speciesDict.items():
# st = self.model.get_species_type_by_id(id)
# buf += st['id'] + ':' + str(self.stateArray[i]) + '\t'
for id, i in self.speciesDict.items():
buf += str(self.stateArray[i]) + ' '
return buf
def get_step_interval(self, rr):
return self.get_propensity_R(rr) * (- numpy.log(rng_uniform()))
def get_propensity(self, rr):
if len(rr.reactants) == 1:
propensity = self.get_propensity_first_order(rr)
elif len(rr.reactants) == 2:
if rr.reactants[0] == rr.reactants[1]:
propensity \
= self.get_propensity_second_order_one_substrate(rr)
else:
propensity \
= self.get_propensity_second_order_two_substrates(rr)
if propensity < 0.0:
raise RuntimeError, 'Population size <= -1.0'
return 0.0
else:
return propensity
def get_propensity_R(self, rr):
propensity = self.get_propensity(rr)
if propensity > 0.0:
return 1.0 / propensity
else:
return utils.INF
def get_propensity_first_order(self, rr):
value = self.get_pool_size(rr.reactants[0])
if value > 0.0:
return rr.k * value
else:
return 0.0
def get_propensity_second_order_two_substrates(self, rr):
value = self.get_pool_size(rr.reactants[0]) \
* self.get_pool_size(rr.reactants[1])
if value > 0.0:
return rr.k * value / (self.volume * utils.N_A)
else:
return 0.0
def get_propensity_second_order_one_substrate(self, rr):
value = self.get_pool_size(rr.reactants[0])
if value > 1.0: # there must be two or more molecules
# return self.k * 0.5 * value * (value - 1.0)
return rr.k * value * (value - 1.0) / (self.volume * utils.N_A)
else:
return 0.0
class GillespieSimulator(GillespieSimulatorBase):
def __init__(self, volume=1.0):
self.scheduler = EventScheduler()
GillespieSimulatorBase.__init__(self)
self.dependencies = {}
self.last_event = None
self.last_reaction = None
self.t = 0.0
self.dt = 0.0
self.scheduler.clear()
self.set_volume(volume)
def initialize(self):
GillespieSimulatorBase.initialize(self)
self.scheduler.clear()
for id1, i in self.speciesDict.items():
st1 = self.model.get_species_type_by_id(id1)
rules = self.get_reaction_rule1(st1)
for rr in rules:
self.add_update_event(rr)
for id2, j in self.speciesDict.items():
if i > j:
continue
st2 = self.model.get_species_type_by_id(id2)
rules = self.get_reaction_rule2(st1, st2)
for rr in rules:
self.add_update_event(rr)
def reset(self):
GillespieSimulatorBase.reset(self)
def get_next_time(self):
if self.scheduler.getSize() == 0:
return self.t
return self.scheduler.getTopTime()
def govern(self, id):
return id in self.speciesDict.keys()
def stop(self, t):
if __debug__:
log.info('stop at %g' % t)
if self.t == t:
return
if t >= self.scheduler.getTopEvent().getTime():
raise RuntimeError, 'Stop time >= next event time.'
if t < self.t:
raise RuntimeError, 'Stop time >= next event time.'
self.t = t
def step(self):
if self.scheduler.getSize() == 0:
self.t = utils.INF
self.dt = utils.INF
self.last_event = None
self.last_reaction = None
return
event = self.scheduler.getTopEvent()
self.t, self.last_event = event.getTime(), event.getArg()
if self.last_event.eventType == EventType.SINGLE_REACTION: # FIX ME
self.last_reaction = self.last_event
else:
self.last_reaction = None
if __debug__:
# log.info('\n%d: t=%g dt=%g\nevent=%s reactions=%d rejectedmoves=%d' % (self.stepCount, self.t, self.dt, self.last_event, self.reactionEvents, self.rejectedMoves))
pass
self.scheduler.step()
if self.t != utils.INF: # and self.scheduler.getTopTime() == utils.INF
nextTime = self.get_next_time()
self.dt = nextTime - self.t
else:
self.dt = 0.0 # inf - inf == nan
def fire(self, rr):
for id in rr.reactants:
st = self.model.get_species_type_by_id(id)
self.remove_particles(st, 1)
for id in rr.products:
st = self.model.get_species_type_by_id(id)
self.throw_in_particles(st, 1)
for rr2 in self.dependencies[rr]:
event = self.scheduler.getEvent(rr2.eventID)
dt = self.get_step_interval(rr2)
self.update_event_time(self.t + dt, rr2)
self.add_reaction_event(rr)
def update(self, rr):
self.dependencies.pop(rr)
self.add_reaction_event(rr)
# def remove_particles(self, st, n):
# GillespieSimulatorBase.remove_particles(self, st.id, n)
def throw_in_particles(self, st, n, surface=None):
if not self.speciesDict.has_key(st.id):
self.add_species(st.id)
GillespieSimulatorBase.throw_in_particles(self, st, n)
def get_species_id(self):
return self.speciesDict.keys()
def get_species(self):
return []
def add_species(self, id):
GillespieSimulatorBase.add_species(self, id)
st1 = self.model.get_species_type_by_id(id)
rules = self.get_reaction_rule1(st1)
for rr in rules:
self.add_update_event(rr)
for id2 in self.speciesDict.keys():
st2 = self.model.get_species_type_by_id(id2)
rules = self.get_reaction_rule2(st1, st2)
for rr in rules:
self.add_update_event(rr)
def add_event(self, t, func, arg):
return self.scheduler.addEvent(t, func, arg)
def add_reaction_event(self, rr):
dt = self.get_step_interval(rr)
eventID = self.add_event(self.t + dt,
Delegate(self, GillespieSimulator.fire),
rr)
if __debug__:
log.info('addReactionEvent: #%d (t=%g)' % (eventID, self.t + dt))
rr.eventID = eventID
rr.eventType = EventType.SINGLE_REACTION # FIX ME
self.update_event_dependency(rr)
for i in range(self.scheduler.getSize()):
rr2 = self.scheduler.getEventByIndex(i).getArg()
if rr == rr2:
continue
if rr.is_dependent_on(rr2):
self.dependencies[rr2].append(rr)
def add_update_event(self, rr):
eventID = self.add_event(self.t,
Delegate(self, GillespieSimulator.update),
rr)
if __debug__:
log.info('addUpdateEvent: #%d (t=%g)' % (eventID, self.t))
rr.eventID = eventID
rr.eventType = EventType.SINGLE_ESCAPE # FIX ME
self.dependencies[rr] = []
def remove_event(self, rr):
if __debug__:
log.info('removeEvent: #%d' % rr.eventID)
self.scheduler.removeEvent(rr.eventID)
rr.eventID = None
rr.eventType = None
def update_event_time(self, t, rr):
if __debug__:
log.info('updateEventTime: #%d (t=%g)' % (rr.eventID, t))
self.scheduler.updateEventTime(rr.eventID, t)
# def update_all_event_time(self):
# for i in range(self.scheduler.getSize()):
# event = self.scheduler.getEventByIndex(i)
# rr = event.getArg()
# if rr.eventType == EventType.SINGLE_REACTION: # FIX ME
# dt = self.get_step_interval(rr)
# self.update_event_time(self.t + dt, rr)
# else:
# assert self.t == event.getTime()
# self.update_event_time(self.t, rr)
def update_event_dependency(self, rr1):
self.dependencies[rr1] = []
for j in range(self.scheduler.getSize()):
rr2 = self.scheduler.getEventByIndex(j).getArg()
if rr1 == rr2:
continue
if rr2.is_dependent_on(rr1):
self.dependencies[rr1].append(rr2)
self.dependencies[rr1].sort()
def update_all_event_dependency(self):
self.dependencies = {}
for i in range(self.scheduler.getSize()):
rr = self.scheduler.getEventByIndex(i).getArg()
self.update_event_dependency(rr)
def interrupted(self, rr):
'''return bool for efficiency.
'''
if float(rr['k']) == 0.0:
return False
interrupt = False
for id in rr.reactants:
if self.govern(id):
st = self.model.get_species_type_by_id(id)
self.remove_particles(st, 1)
interrupt = True
for id in rr.products:
if self.govern(id):
st = self.model.get_species_type_by_id(id)
self.throw_in_particles(st, 1)
interrupt = True
if not interrupt:
return False
rr1 = self.create_reaction_rule_cache(rr)
for i in range(self.scheduler.getSize()):
event = self.scheduler.getEventByIndex(i)
rr2 = event.getArg()
if rr2.is_dependent_on(rr1):
dt = self.get_step_interval(rr2)
self.update_event_time(self.t + dt, rr2)
dt = self.get_next_time() - self.t
self.dt = dt
return True
def check(self):
GillespieSimulatorBase.check()
assert self.scheduler.check()
assert self.t >= 0.0
def dump_scheduler(self):
for i in range(self.scheduler.getSize()):
event = self.scheduler.getEventByIndex(i)
print i, event.getTime(), event.getArg()
def dump(self):
self.dump_scheduler()
if __name__ == '__main__':
def main():
pass
main()