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Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman
| Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman |
| Autore | Zelterman Daniel |
| Pubbl/distr/stampa | Hoboken, NJ, : John Wiley, 2004 |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina |
519.24
519.2402461 610/.1/5118 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Medical sciences - Mathematics
Medical sciences - Mathematical models Medicine - Mathematics Distribution (Probability theory) Probabilities |
| ISBN |
1-280-23879-8
9786610238798 0-470-34589-6 0-470-86890-2 0-470-86889-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Discrete Distributions; Contents; Preface; Acknowledgements; About the Author; 1 Introduction; 1.1 Discrete Distributions in General; 1.2 Multivariate Discrete Distributions; 1.3 Binomial Distribution; 1.4 The Multinomial Distribution; 1.5 Poisson Distribution; 1.6 Negative Binomial Distribution; 1.7 Hypergeometric Distribution; 1.7.1 Negative hypergeometric distribution; 1.7.2 Extended hypergeometric distribution; 1.8 Stirling's Approximation; 2 Maximum Negative Binomial Distribution; 2.1 Introduction; 2.1.1 Outfitting the ark; 2.1.2 Medical screening application; 2.2 Elementary Properties
2.2.1 Shapes of the distribution2.2.2 Moments of the distribution; 2.2.3 Modes of the distribution; 2.3 Asymptotic Approximations; 2.3.1 Large values of c and p 1/2; 2.3.2 Large values of c and p = 1/2; 2.3.3 Extreme values of p; 2.4 Estimation of p; 2.4.1 The likelihood function; 2.4.2 The EM estimate; 2.4.3 A Bayesian estimate of p; 2.5 Programs and Numerical Results; 2.6 Appendix: The Likelihood Kernel; 3 The Maximum Negative Hypergeometric Distribution; 3.1 Introduction; 3.2 The Distribution; 3.3 Properties and Approximations; 3.3.1 Modes of the distribution; 3.3.2 A gamma approximation 3.3.3 A half-normal approximation3.3.4 A normal approximation; 3.4 Estimation; 3.5 Appendix; 3.5.1 The half-normal approximation; 3.5.2 The normal approximate distribution; 4 Univariate Discrete Distributions for Use with Twins; 4.1 Introduction; 4.2 The Univariate Twins Distribution; 4.3 Measures of Association in Twins; 4.4 The Danish Twin Registry; 4.4.1 Estimate of the effect; 4.4.2 Approximations; 4.5 Appendix; 4.5.1 The univariate twins distribution; 4.5.2 Approximating distributions; 4.6 Programs for the Univariate Twins Distribution; 5 Multivariate Distributions for Twins 5.1 Introduction5.2 Conditional Distributions; 5.2.1 Univariate conditional distribution; 5.2.2 Conditional association measure; 5.3 Conditional inference for the Danish twins; 5.4 Simultaneous Multivariate Distributions; 5.5 Multivariate Examination of the Twins; 5.6 Infinitesimal Multivariate Methods; 5.6.1 Models with no dependence; 5.6.2 Models for dependence; 5.6.3 The infinitesimal data; 5.7 Computer Programs; 5.7.1 Conditional distribution and association models in SAS; 5.7.2 Fortran program for multivariate inference; 6 Frequency Models for Family Disease Clusters; 6.1 Introduction 6.1.1 Examples6.1.2 Sampling methods employed; 6.1.3 Incidence and clustering; 6.2 Exact Inference Under Homogeneous Risk; 6.2.1 Enumeration algorithm; 6.2.2 Ascertainment sampling; 6.3 Numerical Examples; 6.3.1 IPF in COPD families; 6.3.2 Childhood cancer syndrome; 6.3.3 Childhood mortality in Brazil; 6.3.4 Household T. cruzi infections; 6.4 Conclusions; 6.5 Appendix: Mathematical Details; 6.5.1 The distribution of family frequencies; 6.5.2 A model for covariates; 6.5.3 Ascertainment sampling; 6.6 Program for Exact Test of Homogeneity; 7 Sums of Dependent Bernoulli's and Disease Clusters 7.1 Introduction |
| Record Nr. | UNINA-9910143553403321 |
Zelterman Daniel
|
||
| Hoboken, NJ, : John Wiley, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman
| Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman |
| Autore | Zelterman Daniel |
| Pubbl/distr/stampa | Hoboken, NJ, : John Wiley, 2004 |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina |
519.24
519.2402461 610/.1/5118 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Medical sciences - Mathematics
Medical sciences - Mathematical models Medicine - Mathematics Distribution (Probability theory) Probabilities |
| ISBN |
1-280-23879-8
9786610238798 0-470-34589-6 0-470-86890-2 0-470-86889-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Discrete Distributions; Contents; Preface; Acknowledgements; About the Author; 1 Introduction; 1.1 Discrete Distributions in General; 1.2 Multivariate Discrete Distributions; 1.3 Binomial Distribution; 1.4 The Multinomial Distribution; 1.5 Poisson Distribution; 1.6 Negative Binomial Distribution; 1.7 Hypergeometric Distribution; 1.7.1 Negative hypergeometric distribution; 1.7.2 Extended hypergeometric distribution; 1.8 Stirling's Approximation; 2 Maximum Negative Binomial Distribution; 2.1 Introduction; 2.1.1 Outfitting the ark; 2.1.2 Medical screening application; 2.2 Elementary Properties
2.2.1 Shapes of the distribution2.2.2 Moments of the distribution; 2.2.3 Modes of the distribution; 2.3 Asymptotic Approximations; 2.3.1 Large values of c and p 1/2; 2.3.2 Large values of c and p = 1/2; 2.3.3 Extreme values of p; 2.4 Estimation of p; 2.4.1 The likelihood function; 2.4.2 The EM estimate; 2.4.3 A Bayesian estimate of p; 2.5 Programs and Numerical Results; 2.6 Appendix: The Likelihood Kernel; 3 The Maximum Negative Hypergeometric Distribution; 3.1 Introduction; 3.2 The Distribution; 3.3 Properties and Approximations; 3.3.1 Modes of the distribution; 3.3.2 A gamma approximation 3.3.3 A half-normal approximation3.3.4 A normal approximation; 3.4 Estimation; 3.5 Appendix; 3.5.1 The half-normal approximation; 3.5.2 The normal approximate distribution; 4 Univariate Discrete Distributions for Use with Twins; 4.1 Introduction; 4.2 The Univariate Twins Distribution; 4.3 Measures of Association in Twins; 4.4 The Danish Twin Registry; 4.4.1 Estimate of the effect; 4.4.2 Approximations; 4.5 Appendix; 4.5.1 The univariate twins distribution; 4.5.2 Approximating distributions; 4.6 Programs for the Univariate Twins Distribution; 5 Multivariate Distributions for Twins 5.1 Introduction5.2 Conditional Distributions; 5.2.1 Univariate conditional distribution; 5.2.2 Conditional association measure; 5.3 Conditional inference for the Danish twins; 5.4 Simultaneous Multivariate Distributions; 5.5 Multivariate Examination of the Twins; 5.6 Infinitesimal Multivariate Methods; 5.6.1 Models with no dependence; 5.6.2 Models for dependence; 5.6.3 The infinitesimal data; 5.7 Computer Programs; 5.7.1 Conditional distribution and association models in SAS; 5.7.2 Fortran program for multivariate inference; 6 Frequency Models for Family Disease Clusters; 6.1 Introduction 6.1.1 Examples6.1.2 Sampling methods employed; 6.1.3 Incidence and clustering; 6.2 Exact Inference Under Homogeneous Risk; 6.2.1 Enumeration algorithm; 6.2.2 Ascertainment sampling; 6.3 Numerical Examples; 6.3.1 IPF in COPD families; 6.3.2 Childhood cancer syndrome; 6.3.3 Childhood mortality in Brazil; 6.3.4 Household T. cruzi infections; 6.4 Conclusions; 6.5 Appendix: Mathematical Details; 6.5.1 The distribution of family frequencies; 6.5.2 A model for covariates; 6.5.3 Ascertainment sampling; 6.6 Program for Exact Test of Homogeneity; 7 Sums of Dependent Bernoulli's and Disease Clusters 7.1 Introduction |
| Record Nr. | UNINA-9910829979303321 |
|
Zelterman Daniel
|
||
| Hoboken, NJ, : John Wiley, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman
| Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman |
| Autore | Zelterman Daniel |
| Pubbl/distr/stampa | Hoboken, NJ, : John Wiley, 2004 |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina |
519.24
519.2402461 610/.1/5118 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Medical sciences - Mathematics
Medical sciences - Mathematical models Medicine - Mathematics Distribution (Probability theory) Probabilities |
| ISBN |
1-280-23879-8
9786610238798 0-470-34589-6 0-470-86890-2 0-470-86889-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Discrete Distributions; Contents; Preface; Acknowledgements; About the Author; 1 Introduction; 1.1 Discrete Distributions in General; 1.2 Multivariate Discrete Distributions; 1.3 Binomial Distribution; 1.4 The Multinomial Distribution; 1.5 Poisson Distribution; 1.6 Negative Binomial Distribution; 1.7 Hypergeometric Distribution; 1.7.1 Negative hypergeometric distribution; 1.7.2 Extended hypergeometric distribution; 1.8 Stirling's Approximation; 2 Maximum Negative Binomial Distribution; 2.1 Introduction; 2.1.1 Outfitting the ark; 2.1.2 Medical screening application; 2.2 Elementary Properties
2.2.1 Shapes of the distribution2.2.2 Moments of the distribution; 2.2.3 Modes of the distribution; 2.3 Asymptotic Approximations; 2.3.1 Large values of c and p 1/2; 2.3.2 Large values of c and p = 1/2; 2.3.3 Extreme values of p; 2.4 Estimation of p; 2.4.1 The likelihood function; 2.4.2 The EM estimate; 2.4.3 A Bayesian estimate of p; 2.5 Programs and Numerical Results; 2.6 Appendix: The Likelihood Kernel; 3 The Maximum Negative Hypergeometric Distribution; 3.1 Introduction; 3.2 The Distribution; 3.3 Properties and Approximations; 3.3.1 Modes of the distribution; 3.3.2 A gamma approximation 3.3.3 A half-normal approximation3.3.4 A normal approximation; 3.4 Estimation; 3.5 Appendix; 3.5.1 The half-normal approximation; 3.5.2 The normal approximate distribution; 4 Univariate Discrete Distributions for Use with Twins; 4.1 Introduction; 4.2 The Univariate Twins Distribution; 4.3 Measures of Association in Twins; 4.4 The Danish Twin Registry; 4.4.1 Estimate of the effect; 4.4.2 Approximations; 4.5 Appendix; 4.5.1 The univariate twins distribution; 4.5.2 Approximating distributions; 4.6 Programs for the Univariate Twins Distribution; 5 Multivariate Distributions for Twins 5.1 Introduction5.2 Conditional Distributions; 5.2.1 Univariate conditional distribution; 5.2.2 Conditional association measure; 5.3 Conditional inference for the Danish twins; 5.4 Simultaneous Multivariate Distributions; 5.5 Multivariate Examination of the Twins; 5.6 Infinitesimal Multivariate Methods; 5.6.1 Models with no dependence; 5.6.2 Models for dependence; 5.6.3 The infinitesimal data; 5.7 Computer Programs; 5.7.1 Conditional distribution and association models in SAS; 5.7.2 Fortran program for multivariate inference; 6 Frequency Models for Family Disease Clusters; 6.1 Introduction 6.1.1 Examples6.1.2 Sampling methods employed; 6.1.3 Incidence and clustering; 6.2 Exact Inference Under Homogeneous Risk; 6.2.1 Enumeration algorithm; 6.2.2 Ascertainment sampling; 6.3 Numerical Examples; 6.3.1 IPF in COPD families; 6.3.2 Childhood cancer syndrome; 6.3.3 Childhood mortality in Brazil; 6.3.4 Household T. cruzi infections; 6.4 Conclusions; 6.5 Appendix: Mathematical Details; 6.5.1 The distribution of family frequencies; 6.5.2 A model for covariates; 6.5.3 Ascertainment sampling; 6.6 Program for Exact Test of Homogeneity; 7 Sums of Dependent Bernoulli's and Disease Clusters 7.1 Introduction |
| Record Nr. | UNINA-9910841573303321 |
|
Zelterman Daniel
|
||
| Hoboken, NJ, : John Wiley, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
IMA journal of mathematics applied in medicine and biology
| IMA journal of mathematics applied in medicine and biology |
| Pubbl/distr/stampa | [Oxford, England], : Oxford University Press, [-2003] |
| Descrizione fisica | 1 online resource |
| Disciplina | 574.0151 |
| Soggetto topico |
Biomathematics
Medicine - Mathematics Medicine Biology Mathematics Biological Sciences mathematics and statistics medicine mathematics |
| Soggetto genere / forma |
Internet resource
Periodicals. |
| Soggetto non controllato |
Biology - Mathematical models
Medicine - Mathematical models |
| ISSN | 1471-6879 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti |
Institute of Mathematics and its Applications journal of mathematics applied in medicine and biology
Journal of mathematics applied in medicine and biology |
| Record Nr. | UNINA-9910154546303321 |
| [Oxford, England], : Oxford University Press, [-2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
IMA journal of mathematics applied in medicine and biology
| IMA journal of mathematics applied in medicine and biology |
| Pubbl/distr/stampa | [Oxford, England], : Oxford University Press, [-2003] |
| Descrizione fisica | 1 online resource |
| Disciplina | 574.0151 |
| Soggetto topico |
Biomathematics
Medicine - Mathematics Medicine Biology Mathematics Biological Sciences mathematics and statistics medicine mathematics |
| Soggetto genere / forma |
Internet resource
Periodicals. |
| Soggetto non controllato |
Biology - Mathematical models
Medicine - Mathematical models |
| ISSN | 1471-6879 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti |
Institute of Mathematics and its Applications journal of mathematics applied in medicine and biology
Journal of mathematics applied in medicine and biology |
| Record Nr. | UNISA-996221338003316 |
| [Oxford, England], : Oxford University Press, [-2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Mathematical biosciences and engineering
| Mathematical biosciences and engineering |
| Pubbl/distr/stampa | Springfield, Mo., : American Institute of Mathematical Sciences, 2004- |
| Disciplina | 510 |
| Soggetto topico |
Bioengineering
Medicine - Mathematics Life sciences - Mathematics Biomathematics |
| Soggetto genere / forma | Periodicals. |
| ISSN | 1551-0018 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996341449503316 |
| Springfield, Mo., : American Institute of Mathematical Sciences, 2004- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Mathematical biosciences and engineering
| Mathematical biosciences and engineering |
| Pubbl/distr/stampa | Springfield, Mo., : American Institute of Mathematical Sciences, 2004- |
| Disciplina | 510 |
| Soggetto topico |
Bioengineering
Medicine - Mathematics Life sciences - Mathematics Biomathematics |
| Soggetto genere / forma | Periodicals. |
| ISSN | 1551-0018 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910154554703321 |
| Springfield, Mo., : American Institute of Mathematical Sciences, 2004- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical medicine and biology : a journal of the IMA
| Mathematical medicine and biology : a journal of the IMA |
| Pubbl/distr/stampa | [Oxford, England], : Oxford University Press, [2003-] |
| Descrizione fisica | 1 online resource |
| Disciplina | 574.0151 |
| Soggetto topico |
Biomathematics
Medicine - Mathematics Medicine Biology Biomedical Research Models, Theoretical medicine Biological Sciences biomedical research Biomathématiques Médecine - Mathématiques Biologie Biomathématique Biomédecine Médecine Modèle mathématique Recherche médicale |
| Soggetto genere / forma |
Periodical
Internet resource Periodicals. Périodique électronique (Descripteur de forme) Ressource Internet (Descripteur de forme) |
| ISSN | 1477-8602 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996206248103316 |
| [Oxford, England], : Oxford University Press, [2003-] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Mathematical medicine and biology : a journal of the IMA
| Mathematical medicine and biology : a journal of the IMA |
| Pubbl/distr/stampa | [Oxford, England], : Oxford University Press, [2003-] |
| Descrizione fisica | 1 online resource |
| Disciplina | 574.0151 |
| Soggetto topico |
Biomathematics
Medicine - Mathematics Medicine Biology Biomedical Research Models, Theoretical medicine Biological Sciences biomedical research Biomathématiques Médecine - Mathématiques Biologie Biomathématique Biomédecine Médecine Modèle mathématique Recherche médicale |
| Soggetto genere / forma |
Periodical
Internet resource Periodicals. Périodique électronique (Descripteur de forme) Ressource Internet (Descripteur de forme) |
| ISSN | 1477-8602 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910142458603321 |
| [Oxford, England], : Oxford University Press, [2003-] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics for neuroscientists [[electronic resource] /] / Fabrizio Gabbiani, Steven J. Cox
| Mathematics for neuroscientists [[electronic resource] /] / Fabrizio Gabbiani, Steven J. Cox |
| Autore | Gabbiani Fabrizio |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier, 2010 |
| Descrizione fisica | 1 online resource (505 p.) |
| Disciplina |
612.8
612.80151 |
| Altri autori (Persone) | CoxSteven J |
| Collana | Elsevier science & technology books |
| Soggetto topico |
Medicine - Mathematics
Neurosciences |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-76902-2
9786612769023 0-08-089049-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front cover; Mathematics for Neuroscientists; Copyright page; Full Contents; Preface; Chapter 1. Introduction; 1.1. How to Use This Book; 1.2. Brain Facts Brief; 1.3. Mathematical Preliminaries; 1.4. Units; 1.5. Sources; Chapter 2. The Passive Isopotential Cell; 2.1. Introduction; 2.2. The Nernst Potential; 2.3. Membrane Conductance; 2.4. Membrane Capacitance and Current Balance; 2.5. Synaptic Conductance; 2.6. Summary and Sources; 2.7. Exercises; Chapter 3. Differential Equations; 3.1. Exact Solution; 3.2. Moment Methods*; 3.3. The Laplace Transform*; 3.4. Numerical Methods
3.5. Synaptic Input 3.6. Summary and Sources; 3.7. Exercises; Chapter 4. The Active Isopotential Cell; 4.1. The Delayed Rectifier Potassium Channel; 4.2. The Sodium Channel; 4.3. The Hodgkin-Huxley Equations; 4.4. The Transient Potassium Channel*; 4.5. Summary and Sources; 4.6. Exercises; Chapter 5. The Quasi-Active Isopotential Cell; 5.1. The Quasi-Active Model; 5.2. Numerical Methods; 5.3. Exact Solution via Eigenvector Expansion; 5.4. A Persistent Sodium Current*; 5.5. A Nonspecific Cation Current that is Activated by Hyperpolarization*; 5.6. Summary and Sources; 5.7. Exercises Chapter 6. The Passive Cable 6.1. The Discrete Passive Cable Equation; 6.2. Exact Solution Via Eigenvector Expansion; 6.3. Numerical Methods; 6.4. The Passive Cable Equation; 6.5. Synaptic Input; 6.6. Summary and Sources; 6.7. Exercises; Chapter 7. Fourier Series and Transforms; 7.1. Fourier Series; 7.2. The Discrete Fourier Transform; 7.3. The Continuous Fourier Transform; 7.4. Reconciling the Discrete and Continuous Fourier Transforms; 7.5. Summary and Sources; 7.6. Exercises; Chapter 8. The Passive Dendritic Tree; 8.1. The Discrete Passive Tree; 8.2. Eigenvector Expansion 8.3. Numerical Methods 8.4. The Passive Dendrite Equation; 8.5. The Equivalent Cylinder*; 8.6. Branched Eigenfunctions*; 8.7. Summary and Sources; 8.8. Exercises; Chapter 9. The Active Dendritic Tree; 9.1. The Active Uniform Cable; 9.2. On the Interaction of Active Uniform Cables*; 9.3. The Active Nonuniform Cable; 9.4. The Quasi-Active Cable*; 9.5. The Active Dendritic Tree; 9.6. Summary and Sources; 9.7. Exercises; Chapter 10. Reduced Single Neuron Models; 10.1. The Leaky Integrate-and-Fire Neuron; 10.2. Bursting Neurons; 10.3. Simplified Models of Bursting Neurons; 10.4. Summary and Sources 10.5. Exercises Chapter 11. Probability and Random Variables; 11.1. Events and Random Variables; 11.2. Binomial Random Variables; 11.3. Poisson Random Variables; 11.4. Gaussian Random Variables; 11.5. Cumulative Distribution Functions; 11.6. Conditional Probabilities*; 11.7. Sum of Independent Random Variables*; 11.8. Transformation of Random Variables*; 11.9. Random Vectors*; 11.10. Exponential and Gamma Distributed Random Variables; 11.11. The Homogeneous Poisson Process; 11.12. Summary and Sources; 11.13. Exercises; Chapter 12. Synaptic Transmission and Quantal Release 12.1. Basic Synaptic Structure and Physiology |
| Record Nr. | UNINA-9910457975403321 |
|
Gabbiani Fabrizio
|
||
| Amsterdam ; ; Boston, : Elsevier, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
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Medicine - Mathematics
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- Biological Sciences (4)
- Biology (4)
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