Class information for:
Level 1: GROWTH FRAGMENTATION EQUATIONS//STEADY SIZE DISTRIBUTIONS//CELL DIVISION EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21954 399 26.6 45%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
355 3       PERMANENCE//GLOBAL STABILITY//HOPF BIFURCATION 34946
2260 2             ACTIVE PARTICLES//BRANCHING PROCESS//TUMOR GROWTH 4674
21954 1                   GROWTH FRAGMENTATION EQUATIONS//STEADY SIZE DISTRIBUTIONS//CELL DIVISION EQUATION 399

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 GROWTH FRAGMENTATION EQUATIONS authKW 393575 2% 86% 6
2 STEADY SIZE DISTRIBUTIONS authKW 318869 1% 83% 5
3 CELL DIVISION EQUATION authKW 306116 1% 100% 4
4 PRION PROLIFERATION authKW 306116 1% 100% 4
5 SIZE REPARTITION authKW 306116 1% 100% 4
6 PIECEWISE DETERMINISTIC MARKOV PROCESSES authKW 280591 3% 33% 11
7 PROJET BANG address 250453 2% 55% 6
8 AGGREGATION FRAGMENTATION EQUATIONS authKW 244891 1% 80% 4
9 MARKOV OPERATORS authKW 231484 3% 28% 11
10 JUMP RATE ESTIMATION authKW 229587 1% 100% 3

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematical & Computational Biology 6954 24% 0% 97
2 Biology 2587 23% 0% 92
3 CYTOLOGY & HISTOLOGY 2577 4% 0% 16
4 Mathematics, Applied 1842 28% 0% 110
5 Statistics & Probability 1449 15% 0% 60
6 Mathematics 437 16% 0% 62
7 Cell Biology 88 10% 0% 38
8 Physics, Mathematical 40 4% 0% 14
9 Oncology 28 7% 0% 26
10 Computer Science, Interdisciplinary Applications 19 3% 0% 10

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 PROJET BANG 250453 2% 55% 6
2 ANTICANC PHARMACOL 212576 1% 56% 5
3 BC187 212576 1% 56% 5
4 PROJECT BANG 136047 1% 44% 4
5 TEAM CQFD 131184 2% 29% 6
6 TEAM BIGS 102037 1% 67% 2
7 CNRS UMR 8100 87456 1% 29% 4
8 BRAIN SCI BRAIN SCI LIFE TECHNOL 76529 0% 100% 1
9 C T LS 76529 0% 100% 1
10 CANC PHARMACOGENOMICS 76529 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF MATHEMATICAL BIOLOGY 20603 6% 1% 25
2 CELL AND TISSUE KINETICS 15780 3% 2% 11
3 MATHEMATICAL BIOSCIENCES 5564 4% 0% 15
4 ESAIM-PROBABILITY AND STATISTICS 5247 1% 2% 4
5 ANZIAM JOURNAL 3514 1% 1% 5
6 KINETIC AND RELATED MODELS 3393 1% 1% 4
7 MATHEMATICAL MODELLING OF NATURAL PHENOMENA 3121 1% 1% 5
8 JOURNAL OF THEORETICAL BIOLOGY 3103 5% 0% 21
9 MATHEMATICAL BIOSCIENCES AND ENGINEERING 2548 1% 1% 5
10 CLINICAL BULLETIN 2467 0% 3% 1

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 GROWTH FRAGMENTATION EQUATIONS 393575 2% 86% 6 Search GROWTH+FRAGMENTATION+EQUATIONS Search GROWTH+FRAGMENTATION+EQUATIONS
2 STEADY SIZE DISTRIBUTIONS 318869 1% 83% 5 Search STEADY+SIZE+DISTRIBUTIONS Search STEADY+SIZE+DISTRIBUTIONS
3 CELL DIVISION EQUATION 306116 1% 100% 4 Search CELL+DIVISION+EQUATION Search CELL+DIVISION+EQUATION
4 PRION PROLIFERATION 306116 1% 100% 4 Search PRION+PROLIFERATION Search PRION+PROLIFERATION
5 SIZE REPARTITION 306116 1% 100% 4 Search SIZE+REPARTITION Search SIZE+REPARTITION
6 PIECEWISE DETERMINISTIC MARKOV PROCESSES 280591 3% 33% 11 Search PIECEWISE+DETERMINISTIC+MARKOV+PROCESSES Search PIECEWISE+DETERMINISTIC+MARKOV+PROCESSES
7 AGGREGATION FRAGMENTATION EQUATIONS 244891 1% 80% 4 Search AGGREGATION+FRAGMENTATION+EQUATIONS Search AGGREGATION+FRAGMENTATION+EQUATIONS
8 MARKOV OPERATORS 231484 3% 28% 11 Search MARKOV+OPERATORS Search MARKOV+OPERATORS
9 JUMP RATE ESTIMATION 229587 1% 100% 3 Search JUMP+RATE+ESTIMATION Search JUMP+RATE+ESTIMATION
10 PIECEWISE DETERMINISTIC MARKOV PROCESS 217938 4% 19% 15 Search PIECEWISE+DETERMINISTIC+MARKOV+PROCESS Search PIECEWISE+DETERMINISTIC+MARKOV+PROCESS

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 CALVEZ, V , DOUMIC, M , GABRIEL, P , (2012) SELF-SIMILARITY IN A GENERAL AGGREGATION-FRAGMENTATION PROBLEM. APPLICATION TO FITNESS ANALYSIS.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 98. ISSUE 1. P. 1-27 22 73% 2
2 ZAIDI, AA , VAN BRUNT, B , WAKE, GC , (2015) SOLUTIONS TO AN ADVANCED FUNCTIONAL PARTIAL DIFFERENTIAL EQUATION OF THE PANTOGRAPH TYPE.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 471. ISSUE 2179. P. - 15 100% 0
3 ZAIDI, AA , VAN BRUNT, B , WAKE, GC , (2015) A MODEL FOR ASYMMETRICAL CELL DIVISION.MATHEMATICAL BIOSCIENCES AND ENGINEERING. VOL. 12. ISSUE 3. P. 491 -501 15 94% 2
4 CHANG, YH , FANG, K , JAU, GC , (2012) THE INITIAL VALUE PROBLEM AROSE FROM UNPERTURBED HUMAN TUMOUR CELL LINES.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 16. ISSUE 1. P. 47-70 15 100% 0
5 VAN BRUNT, B , VLIEG-HULSTMAN, M , (2010) EIGENFUNCTIONS ARISING FROM A FIRST-ORDER FUNCTIONAL DIFFERENTIAL EQUATION IN A CELL GROWTH MODEL.ANZIAM JOURNAL. VOL. 52. ISSUE 1. P. 46 -58 16 94% 3
6 GABRIEL, P , (2012) LONG-TIME ASYMPTOTICS FOR NONLINEAR GROWTH-FRAGMENTATION EQUATIONS.COMMUNICATIONS IN MATHEMATICAL SCIENCES. VOL. 10. ISSUE 3. P. 787 -820 25 57% 2
7 GABRIEL, P , (2015) GLOBAL STABILITY FOR THE PRION EQUATION WITH GENERAL INCIDENCE.MATHEMATICAL BIOSCIENCES AND ENGINEERING. VOL. 12. ISSUE 4. P. 789 -801 17 77% 0
8 SASANE, SM , (2016) AN AGE STRUCTURED CELL CYCLE MODEL WITH CROWDING.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 444. ISSUE 1. P. 768 -803 15 83% 0
9 VAN BRUNT, B , GUL, S , WAKE, GC , (2015) A CELL GROWTH MODEL ADAPTED FOR THE MINIMUM CELL SIZE DIVISION.ANZIAM JOURNAL. VOL. 57. ISSUE 2. P. 138 -149 12 100% 0
10 HORBACZ, K , (2008) INVARIANT MEASURES FOR RANDOM DYNAMICAL SYSTEMS.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 451. P. 5-+ 16 76% 2

Classes with closest relation at Level 1


Rank Class id link
1 10473 ASYNCHRONOUS EXPONENTIAL GROWTH//SIZE STRUCTURED POPULATION MODELS//AGE STRUCTURED POPULATION
2 24470 QUANTITAT SCI BIOMED//CFSE//LABEL STRUCTURED POPULATION DYNAMICS
3 19851 ANOXIC UVA IRRADIATION//D123 PROTEIN//DIALYSIS BIOREACTOR
4 31996 SHANNON MCMILLAN THEOREM//STRONG DEVIATION THEOREM//BIFURCATING AUTOREGRESSIVE PROCESS
5 11367 ACTIVE PARTICLES//TUMOR IMMUNE SYSTEM INTERACTION//LIVING SYSTEMS
6 35643 ALGEBRAIC VIEWPOINT//GEOMETRIC VIEWPOINT//MICROCULTIVATION
7 32525 DIVERSITY OF COMPLEXITY//GENE MODULATOR//KAULATH
8 33865 IMMORTAL DNA//ADULT STEM CELL TECHNOL//IMMORTAL STRAND HYPOTHESIS
9 12133 POTENTIAL DOUBLING TIME//BROMODEOXYURIDINE//CELL KINETICS
10 20937 CYCLIC THROMBOCYTOPENIA//CYCLICAL NEUTROPENIA//ACQUIRED AMEGAKARYOCYTIC THROMBOCYTOPENIA

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