An Introduction to the Mathematics of Biology: with Computer Algebra Models
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Mathematics and Science Textbooks > Biology, life sciences > Life sciences: general issues > Computational biology / bioinformatics > An Introduction to the Mathematics of Biology: with Computer Algebra Models
36%
An Introduction to the Mathematics of Biology: with Computer Algebra Models

An Introduction to the Mathematics of Biology: with Computer Algebra Models


     0     
5
4
3
2
1



Available


X
About the Book

Biology is a source of fascination for most scientists, whether their training is in the life sciences or not. In particular, there is a special satisfaction in discovering an understanding of biology in the context of another science like mathematics. Fortunately there are plenty of interesting (and fun) problems in biology, and virtually all scientific disciplines have become the richer for it. For example, two major journals, Mathematical Biosciences and Journal of Mathematical Biology, have tripled in size since their inceptions 20-25 years ago. The various sciences have a great deal to give to one another, but there are still too many fences separating them. In writing this book we have adopted the philosophy that mathematical biology is not merely the intrusion of one science into another, but has a unity of its own, in which both the biology and the math- ematics should be equal and complete, and should flow smoothly into and out of one another. We have taught mathematical biology with this philosophy in mind and have seen profound changes in the outlooks of our science and engineering students: The attitude of "Oh no, another pendulum on a spring problem!," or "Yet one more LCD circuit!" completely disappeared in the face of applications of mathematics in biology. There is a timeliness in calculating a protocol for ad- ministering a drug.

Table of Contents:
1 Biology, Mathematics, and a Mathematical Biology Laboratory.- 1.1 The Natural Linkage Between Mathematics and Biology.- 1.2 The Use of Models in Biology.- 1.3 What Can Be Derived from a Model and How Is It Analyzed?.- References and Suggested Further Reading.- 2 Some Mathematical Tools.- 2.1 Linear Dependence.- 2.2 Linear Regression, the Method of Least Squares.- 2.3 Multiple Regression.- 2.4 Modelig with qint Differential Equations.- 2.5 Matrix Analysis.- 2.6 Statistical Data.- 2.7 Probability.- References and Suggested Further Reading.- 3 Reproduction and the Drive for Survival.- 3.1 The Darwinian Model of Evolution.- 3.2 Cells.- 3.3 Replication of Living Systems.- 3.4 Population Growth and Its Limitations.- 3.5 The Exponential Model for Growth and Decay.- 3.6 Ouestions for Thou2ht and Discussion.- References and Suggested Further Reading.- 4 Interactions Between Organisms and Their Environment.- 4.1 How Population Growth is Controlled.- 4.2 Community Ecology.- 4.3 Environmentally Limited Population Growth.- 4.4 A Brief Look at Multiple Species Systems.- 4.5 Questions for Thought and Discussion.- References and Suggested Further Reading.- 5 Age-Dependent Population Structures.- 5.1 Aging and Death.- 5.2 The Age-Structure of Populations.- 5.3 Predicting the Age-Structure of a Population.- 5.4 Questions for Thought and Discussion.- References and Suggested Further Reading.- 6 Random Movements in Space and Time.- 6.1 BioloQical Membranes.- 6.2 The Mathematics of Diffusion.- 6.3 Interplacenlal Transfer of Oxygen: Biological and Biochemical Considerations.- 6.4 Oxygen Diffusion Across the Placenta: Physical Considerations.- 6.5 The Spread of Infectious Diseases.- 6.6 Questions for Thought and Discussion.- References and Suggested Further Reading.- 7 The Biological Disposition of Drugs and Inorganic Toxins.- 7.1 The Biological Importance of Lead.- 7.2 Early Embryogenesis and Organ Formation.- 7.3 Gas Exchange.- 7.4 The Digestive System.- 7.5 The Skin.- 7.6 The Circulatory System.- 7.7 Bones.- 7.8 The Kidneys.- 7.9 Clinical Effects of Lead.- 7.10 A Mathematical Model for Lead in Mammals.- 7.11 Pharmacokinetics.- 7.12 Questions for Thought and Discussion.- References and Suggested Further Reading.- 8 Neurophysiology.- 8.1 Communication Between Parts of an Organism.- 8.2 The Neuron.- 8.3 The Action Potential.- 8.4 Synapses—Interneuronal Connections.- 8.5 A Model for the Conduction of Action Potentials.- 8.6 The Fitzhugh-Nagumo Two-Variable Action Potential System.- 8.7 Questions for Thought and Discussion.- References and Suggested Further Reading.- 9 The Biochemistry of Cells.- 9.1 Atoms and Bonds in Biochemistry.- 9.2 Biopolymers.- 9.3 Molecular Information Transfer.- 9.4 Enzymes and Their Function.- 9.5 Rates of Chemical Reactions.- 9.6 Enzyme Kinetics.- 9.7 Questions for Thought and Discussion.- References and Suggested Further Reading.- 10 A Biomathematical Approach to HIV and AIDS.- 10.1 Viruses.- 10.2 The Immune System.- 10.3 HIV and AIDS.- 10.4 An HIV Infection Model.- 10.5 A Model for a Mutating Virus.- 10.6 Predicting the Onset of AIDS.- 10.7 Questions for Thought and Discussion.- References and Suggested Further Reading.- 11 Genetics.- 11.1 Asexual Cell Reproduction—Mitosis.- 11.2 Sexual Reproduction—Meiosis and Fertilization.- 11.3 Classical Genetics.- 11.4 A Final Look at Darwinian Evolution.- 11.5 The Hardy-Weinberg Principle.- 11.6 The Fixation of a Beneficial Mutation.- 11.7 Questions for Thought and Discussion.- References and Suggested Further Reading.

Review :
"A very well balanced combination of biology and mathematics. Mathematics students have an opportunity to learn enough biology to make good models, and biology students will see it as an opportunity to understand the dynamics of a biological system. It can serve as the source of many good models with possible applications in different areas of biological research." -Gen. Physiol. Biophysics "The title is a good description of this introductory textbook, which integrates quite nicely biology and mathematics... Each chapter ends with questions for discussion and references pointing to further reading... Intended for biology students with one year of calculus who want an introduction to mathematical modeling and for mathematics students with little knowledge of biology who want to become familiar with biological applications. The book succeeds at both intents. It is an excellent appetizer." -Zentralblatt MATH


Best Sellers


Product Details
  • ISBN-13: 9781475710977
  • Publisher: Springer-Verlag New York Inc.
  • Publisher Imprint: Springer-Verlag New York Inc.
  • Language: English
  • Returnable: N
  • ISBN-10: 1475710976
  • Publisher Date: 15 Sep 2012
  • Binding: Paperback
  • No of Pages: 417
  • Returnable: N


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
An Introduction to the Mathematics of Biology: with Computer Algebra Models
Springer-Verlag New York Inc. -
An Introduction to the Mathematics of Biology: with Computer Algebra Models
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

An Introduction to the Mathematics of Biology: with Computer Algebra Models

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!