239:. A current research focus (together with Guy Shinar) is the application of chemical reaction network theory to questions of robustness in biochemical reaction networks. He has also worked with Richard Lavine on foundations of classical
231:. He is best known for stating and proving the deficiency zero theorem (together with Horn and Jackson) and the deficiency one theorem. He has also articulated complete necessary and sufficient conditions for detailed balancing in
235:. More recently, Feinberg has turned his attention to problems arising from biology. Together with Gheorghe Craciun, he developed the theory of injective reaction networks and explored its implications for
546:
Feinberg, M. and R.B. Lavine, Foundations of the
Clausius-Duhem Inequality, pp. 49–64 in New Perspectives in Thermodynamics (editor James Serrin), Springer-Verlag, Berlin- Heidelberg-New York (1986).
618:
589:
Feinberg, M., Lectures on
Chemical Reaction Networks, written versions of Lectures 1 - 5 (out of nine) delivered at the Mathematics Research Center, University of Wisconsin, fall, 1979
184:
457:
422:
263:
Feinberg, M. (1987). "Chemical reaction network structure and the stability of complex isothermal reactors: I. The deficiency zero and deficiency one theorems".
648:
643:
208:
207:, where he serves as Richard M. Morrow Professor of Chemical Engineering and professor of mathematics. Feinberg was a member of the editorial board of the
243:. Feinberg is the author of "Foundations of Chemical Reaction Network Theory," published in 2019 by Springer in its Applied Mathematical Sciences series.
588:
628:
633:
257:
638:
623:
305:
Schlosser, P. M. & M. Feinberg (June 1994). "A theory of multiple steady states in isothermal homogeneous CFSTRs with many reactions".
284:
Feinberg, M. (1989). "Necessary and sufficient conditions for detailed balancing in mass action systems of arbitrary complexity".
220:
172:
89:
510:
Feinberg, M. & R.B. Lavine (March 1983). "Thermodynamics based on the Hahn-Banach theorem: the
Clausius inequality".
326:
Feinberg, M. (December 1995). "The existence and uniqueness of steady states for a class of chemical reaction networks".
613:
465:
Shinar, G. & M. Feinberg (March 2010). "Structural sources of robustness in biochemical reaction networks".
200:
603:
451:
430:
Shinar, G., U. Alon and M. Feinberg (2009). "Sensitivity and robustness in chemical reaction networks".
416:
204:
148:
136:
608:
519:
474:
376:
335:
192:
164:
122:
79:
203:, Rochester, NY, where he was a professor of chemical engineering until 1997. He then moved to The
535:
498:
351:
232:
565:"Feinberg Wins Aiche's Prestigious Richard H. Wilhelm Award : University of Rochester News"
252:
Feinberg, M. (2019) "Foundations of
Chemical Reaction Network Theory," Springer, Switzerland,
490:
404:
253:
228:
188:
183:
Born in New York, Feinberg received his undergraduate degree in chemical engineering from The
75:
227:
that connects the graphical and algebraic structure of chemical reaction networks with their
527:
482:
439:
394:
384:
343:
314:
293:
272:
143:
49:
196:
523:
478:
380:
339:
199:
and the advisor is
William Schowalter. After completing the PhD, he went to work at the
399:
364:
240:
597:
355:
318:
297:
276:
168:
61:
45:
539:
502:
99:
John Von
Neumann Lecture in Theoretical Biology, Institute for Advanced Study, 1997
236:
71:
564:
224:
118:
486:
389:
494:
408:
531:
347:
126:
443:
365:"Understanding bistability in complex enzyme-driven reaction networks"
219:
Together with F. J. M. Horn and Roy
Jackson, Feinberg created
187:
in 1962. A year later, he obtained his master's degree from
363:Craciun, G., Y. Tang, and M. Feinberg (June 2006).
185:
142:
132:
114:
95:
85:
67:
57:
28:
21:
103:Camille & Henry Dreyfus Teacher- Scholar, 1974
619:Purdue University College of Engineering alumni
8:
456:: CS1 maint: multiple names: authors list (
421:: CS1 maint: multiple names: authors list (
512:Archive for Rational Mechanics and Analysis
328:Archive for Rational Mechanics and Analysis
209:Archive for Rational Mechanics and Analysis
191:. In 1968, he received his PhD degree from
18:
398:
388:
195:. The subject of the doctoral thesis is
556:
449:
414:
7:
649:21st-century American mathematicians
644:20th-century American mathematicians
432:SIAM Journal on Applied Mathematics
14:
221:chemical reaction network theory
173:chemical reaction network theory
90:Chemical reaction network theory
629:University of Rochester faculty
101:AIChE Richard H. Wilhelm Award
1:
634:Ohio State University faculty
319:10.1016/0009-2509(94)80061-8
307:Chemical Engineering Science
298:10.1016/0009-2509(89)85124-3
286:Chemical Engineering Science
277:10.1016/0009-2509(87)80099-4
265:Chemical Engineering Science
639:American chemical engineers
624:Princeton University alumni
665:
154:
107:
369:Proc Natl Acad Sci U S A
487:10.1126/science.1183372
390:10.1073/pnas.0602767103
201:University of Rochester
171:known for his work in
16:American mathematician
247:Selected publications
205:Ohio State University
137:Ohio State University
193:Princeton University
123:Chemical engineering
80:Princeton University
614:Cooper Union alumni
567:. www.rochester.edu
524:1983ArRMA..82..203F
479:2010Sci...327.1389S
381:2006PNAS..103.8697C
340:1995ArRMA.132..311F
233:mass-action systems
532:10.1007/BF00261935
348:10.1007/BF00375614
149:William Schowalter
473:(5971): 1389–91.
444:10.1137/080719820
375:(23): 8697–8702.
313:(11): 1749–1767.
271:(10): 2229–2268.
258:978-3-030-03857-1
189:Purdue University
165:chemical engineer
158:
157:
109:Scientific career
76:Purdue University
656:
576:
575:
573:
572:
561:
543:
506:
461:
455:
447:
426:
420:
412:
402:
392:
359:
322:
301:
292:(9): 1819–1827.
280:
229:dynamic behavior
211:from 1978–1991.
144:Doctoral advisor
42:
38:
36:
19:
664:
663:
659:
658:
657:
655:
654:
653:
594:
593:
585:
580:
579:
570:
568:
563:
562:
558:
553:
509:
464:
448:
429:
413:
362:
325:
304:
283:
262:
249:
217:
197:fluid mechanics
181:
163:is an American
161:Martin Feinberg
102:
100:
68:Alma mater
53:
43:
40:
34:
32:
24:
23:Martin Feinberg
17:
12:
11:
5:
662:
660:
652:
651:
646:
641:
636:
631:
626:
621:
616:
611:
606:
596:
595:
592:
591:
584:
583:External links
581:
578:
577:
555:
554:
552:
549:
548:
547:
544:
518:(3): 203–293.
507:
462:
438:(4): 977–998.
427:
360:
334:(4): 311–370.
323:
302:
281:
260:
248:
245:
241:thermodynamics
216:
213:
180:
177:
156:
155:
152:
151:
146:
140:
139:
134:
130:
129:
116:
112:
111:
105:
104:
97:
93:
92:
87:
86:Known for
83:
82:
69:
65:
64:
59:
55:
54:
44:
30:
26:
25:
22:
15:
13:
10:
9:
6:
4:
3:
2:
661:
650:
647:
645:
642:
640:
637:
635:
632:
630:
627:
625:
622:
620:
617:
615:
612:
610:
607:
605:
604:Living people
602:
601:
599:
590:
587:
586:
582:
566:
560:
557:
550:
545:
541:
537:
533:
529:
525:
521:
517:
513:
508:
504:
500:
496:
492:
488:
484:
480:
476:
472:
468:
463:
459:
453:
445:
441:
437:
433:
428:
424:
418:
410:
406:
401:
396:
391:
386:
382:
378:
374:
370:
366:
361:
357:
353:
349:
345:
341:
337:
333:
329:
324:
320:
316:
312:
308:
303:
299:
295:
291:
287:
282:
278:
274:
270:
266:
261:
259:
255:
251:
250:
246:
244:
242:
238:
234:
230:
226:
223:, a field of
222:
214:
212:
210:
206:
202:
198:
194:
190:
186:
178:
176:
174:
170:
169:mathematician
166:
162:
153:
150:
147:
145:
141:
138:
135:
131:
128:
124:
120:
117:
113:
110:
106:
98:
94:
91:
88:
84:
81:
77:
73:
70:
66:
63:
60:
56:
51:
47:
46:New York City
41:(age 82)
39:April 2, 1942
31:
27:
20:
569:. Retrieved
559:
515:
511:
470:
466:
452:cite journal
435:
431:
417:cite journal
372:
368:
331:
327:
310:
306:
289:
285:
268:
264:
237:biochemistry
218:
182:
160:
159:
133:Institutions
108:
72:Cooper Union
609:1942 births
225:mathematics
119:Mathematics
58:Nationality
598:Categories
571:2010-12-05
35:1942-04-02
356:121416465
540:53495319
503:22428321
495:20223989
409:16735474
215:Research
62:American
50:New York
520:Bibcode
475:Bibcode
467:Science
400:1592242
377:Bibcode
336:Bibcode
127:Biology
538:
501:
493:
407:
397:
354:
256:
115:Fields
96:Awards
551:Notes
536:S2CID
499:S2CID
352:S2CID
491:PMID
458:link
423:link
405:PMID
254:ISBN
179:Life
167:and
52:, US
29:Born
528:doi
483:doi
471:327
440:doi
395:PMC
385:doi
373:103
344:doi
332:132
315:doi
294:doi
273:doi
600::
534:.
526:.
516:82
514:.
497:.
489:.
481:.
469:.
454:}}
450:{{
436:69
434:.
419:}}
415:{{
403:.
393:.
383:.
371:.
367:.
350:.
342:.
330:.
311:49
309:.
290:44
288:.
269:42
267:.
175:.
125:,
121:,
78:,
74:,
48:,
37:)
574:.
542:.
530::
522::
505:.
485::
477::
460:)
446:.
442::
425:)
411:.
387::
379::
358:.
346::
338::
321:.
317::
300:.
296::
279:.
275::
33:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.