Mathematics and life sciences /:
The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. It also includes arange of new ideas that represent emerging frontiers in life sciences where t...
Gespeichert in:
Weitere Verfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin :
De Gruyter,
[2013]
|
Schriftenreihe: | De Gruyter series in mathematics and life sciences.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. It also includes arange of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. The bookis aimed at researchers in academia, practitioners and graduate students who want to foster interdisciplinary collaborations required to meet the challenges at the interface of modern life sciences. |
Beschreibung: | 1 online resource (xii, 316 pages) : illustrations (some color) |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 3110288532 9783110288537 |
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245 | 0 | 0 | |a Mathematics and life sciences / |c edited by Alexandra V. Antoniouk, Roderick V.N. Melnik. |
264 | 1 | |a Berlin : |b De Gruyter, |c [2013] | |
300 | |a 1 online resource (xii, 316 pages) : |b illustrations (some color) | ||
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490 | 1 | |a De Gruyter Series in Mathematics and Life Sciences ; |v v. 1 | |
504 | |a Includes bibliographical references and index. | ||
588 | 0 | |a Print version record. | |
505 | 0 | |a 1 Introduction; 1.1 Scientific Frontiers at the Interface of Mathematics and Life Sciences; 1.1.1 Developing the Language of Science and Its Interdisciplinary Character; 1.1.2 Challenges at the Interface: Mathematics and Life Sciences; 1.1.3 What This Book Is About; 1.1.4 Concluding Remarks; 2 Mathematical and Statistical Modeling of Biological Systems; 2.1 Ensemble Modeling of Biological Systems; 2.1.1 Introduction; 2.1.2 Background; 2.1.3 Ensemble Model; 2.1.4 Computational Techniques; 2.1.5 Application to Viral Infection Dynamics; 2.1.6 Ensemble Models in Biology; 2.1.7 Conclusions. | |
505 | 8 | |a 3 Probabilistic Models for Nonlinear Processes and Biological Dynamics3.1 Nonlinear Lévy and Nonlinear Feller Processes: an Analytic Introduction; 3.1.1 Introduction; 3.1.2 Dual Propagators; 3.1.3 Perturbation Theory for Weak Propagators; 3.1.4 T-Products; 3.1.5 Nonlinear Propagators; 3.1.6 Linearized Evolution Around a Path of a Nonlinear Semigroup; 3.1.7 Sensitivity Analysis for Nonlinear Propagators; 3.1.8 Back to Nonlinear Markov Semigroups; 3.1.9 Concluding Remarks; 4 New Results in Mathematical Epidemiology and Modeling Dynamics of Infectious Diseases. | |
505 | 8 | |a 4.1 Formal Solutions of Epidemic Equation4.1.1 Introduction; 4.1.2 Epidemic Models; 4.1.3 Formal Solutions; 4.1.4 Separation of Variables; 4.1.5 Solvability of General Equations; 4.1.6 Concluding Remarks; 5 Mathematical Analysis of PDE-based Models and Applications in Cell Biology; 5.1 Asymptotic Analysis of the Dirichlet Spectral Problems in Thin Perforated Domains with Rapidly Varying Thickness and Different Limit Dimensions; 5.1.1 Introduction; 5.1.2 Description of a Thin Perforated Domain with Quickly Oscillating Thickness and Statement of the Problem; 5.1.3 Equivalent Problem. | |
505 | 8 | |a 5.1.4 The Homogenized Theorem5.1.5 Asymptotic Expansions for the Eigenvalues and Eigenfunctions; 5.1.6 Conclusions; 6 Axiomatic Modeling in Life Sciences with Case Studies for Virus-immune System and Oncolytic Virus Dynamics; 6.1 Axiomatic Modeling in Life Sciences; 6.1.1 Introduction; 6.1.2 Boosting Immunity by Anti-viral Drug Therapy: Timing, Efficacy and Success; 6.1.3 Predictive Modeling of Oncolytic Virus Dynamics; 6.1.4 Conclusions; 7 Theory, Applications, and Control of Nonlinear PDEs in Life Sciences; 7.1 On One Semilinear Parabolic Equation of Normal Type; 7.1.1 Introduction. | |
505 | 8 | |a 7.1.2 Semilinear Parabolic Equation of Normal Type7.1.3 The Structure of NPE Dynamics; 7.1.4 Stabilization of Solution for NPE by Start Control; 7.1.5 Concluding Remarks; 7.2 On some Classes of Nonlinear Equations with L1 -Data; 7.2.1 Nonlinear Elliptic Second-order Equations with L1-data; 7.2.2 Nonlinear Fourth-order Equations with Strengthened Coercivity and L1-Data; 7.2.3 Concluding Remarks; 8 Mathematical Models of Pattern Formation and Their Applications in Developmental Biology; 8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology; 8.1.1 Introduction. | |
520 | |a The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. It also includes arange of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. The bookis aimed at researchers in academia, practitioners and graduate students who want to foster interdisciplinary collaborations required to meet the challenges at the interface of modern life sciences. | ||
546 | |a English. | ||
650 | 0 | |a Biomathematics. |0 http://id.loc.gov/authorities/subjects/sh85014235 | |
650 | 0 | |a Life sciences |x Mathematics. | |
650 | 0 | |a Research. |0 http://id.loc.gov/authorities/subjects/sh85113021 | |
650 | 0 | |a Mathematics. |0 http://id.loc.gov/authorities/subjects/sh85082139 | |
650 | 0 | |a Life sciences. |0 http://id.loc.gov/authorities/subjects/sh85076841 | |
650 | 2 | |a Research | |
650 | 2 | |a Mathematics | |
650 | 2 | |a Biological Science Disciplines | |
650 | 6 | |a Biomathématiques. | |
650 | 6 | |a Sciences de la vie |x Mathématiques. | |
650 | 6 | |a Recherche. | |
650 | 6 | |a Mathématiques. | |
650 | 6 | |a Sciences de la vie. | |
650 | 7 | |a research (function) |2 aat | |
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650 | 7 | |a applied mathematics. |2 aat | |
650 | 7 | |a biological sciences. |2 aat | |
650 | 7 | |a NATURE |x Reference. |2 bisacsh | |
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700 | 1 | |a Antoniouk, Alexandra V., |e editor. | |
700 | 1 | |a Melnik, Roderick, |e editor. | |
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Datensatz im Suchindex
DE-BY-FWS_katkey | ZDB-4-EBA-ocn829370518 |
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adam_text | |
any_adam_object | |
author2 | Antoniouk, Alexandra V. Melnik, Roderick |
author2_role | edt edt |
author2_variant | a v a av ava r m rm |
author_facet | Antoniouk, Alexandra V. Melnik, Roderick |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QH323 |
callnumber-raw | QH323.5 .M3765 2013 |
callnumber-search | QH323.5 .M3765 2013 |
callnumber-sort | QH 3323.5 M3765 42013 |
callnumber-subject | QH - Natural History and Biology |
collection | ZDB-4-EBA |
contents | 1 Introduction; 1.1 Scientific Frontiers at the Interface of Mathematics and Life Sciences; 1.1.1 Developing the Language of Science and Its Interdisciplinary Character; 1.1.2 Challenges at the Interface: Mathematics and Life Sciences; 1.1.3 What This Book Is About; 1.1.4 Concluding Remarks; 2 Mathematical and Statistical Modeling of Biological Systems; 2.1 Ensemble Modeling of Biological Systems; 2.1.1 Introduction; 2.1.2 Background; 2.1.3 Ensemble Model; 2.1.4 Computational Techniques; 2.1.5 Application to Viral Infection Dynamics; 2.1.6 Ensemble Models in Biology; 2.1.7 Conclusions. 3 Probabilistic Models for Nonlinear Processes and Biological Dynamics3.1 Nonlinear Lévy and Nonlinear Feller Processes: an Analytic Introduction; 3.1.1 Introduction; 3.1.2 Dual Propagators; 3.1.3 Perturbation Theory for Weak Propagators; 3.1.4 T-Products; 3.1.5 Nonlinear Propagators; 3.1.6 Linearized Evolution Around a Path of a Nonlinear Semigroup; 3.1.7 Sensitivity Analysis for Nonlinear Propagators; 3.1.8 Back to Nonlinear Markov Semigroups; 3.1.9 Concluding Remarks; 4 New Results in Mathematical Epidemiology and Modeling Dynamics of Infectious Diseases. 4.1 Formal Solutions of Epidemic Equation4.1.1 Introduction; 4.1.2 Epidemic Models; 4.1.3 Formal Solutions; 4.1.4 Separation of Variables; 4.1.5 Solvability of General Equations; 4.1.6 Concluding Remarks; 5 Mathematical Analysis of PDE-based Models and Applications in Cell Biology; 5.1 Asymptotic Analysis of the Dirichlet Spectral Problems in Thin Perforated Domains with Rapidly Varying Thickness and Different Limit Dimensions; 5.1.1 Introduction; 5.1.2 Description of a Thin Perforated Domain with Quickly Oscillating Thickness and Statement of the Problem; 5.1.3 Equivalent Problem. 5.1.4 The Homogenized Theorem5.1.5 Asymptotic Expansions for the Eigenvalues and Eigenfunctions; 5.1.6 Conclusions; 6 Axiomatic Modeling in Life Sciences with Case Studies for Virus-immune System and Oncolytic Virus Dynamics; 6.1 Axiomatic Modeling in Life Sciences; 6.1.1 Introduction; 6.1.2 Boosting Immunity by Anti-viral Drug Therapy: Timing, Efficacy and Success; 6.1.3 Predictive Modeling of Oncolytic Virus Dynamics; 6.1.4 Conclusions; 7 Theory, Applications, and Control of Nonlinear PDEs in Life Sciences; 7.1 On One Semilinear Parabolic Equation of Normal Type; 7.1.1 Introduction. 7.1.2 Semilinear Parabolic Equation of Normal Type7.1.3 The Structure of NPE Dynamics; 7.1.4 Stabilization of Solution for NPE by Start Control; 7.1.5 Concluding Remarks; 7.2 On some Classes of Nonlinear Equations with L1 -Data; 7.2.1 Nonlinear Elliptic Second-order Equations with L1-data; 7.2.2 Nonlinear Fourth-order Equations with Strengthened Coercivity and L1-Data; 7.2.3 Concluding Remarks; 8 Mathematical Models of Pattern Formation and Their Applications in Developmental Biology; 8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology; 8.1.1 Introduction. |
ctrlnum | (OCoLC)829370518 |
dewey-full | 570.1/51 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 570 - Biology |
dewey-raw | 570.1/51 |
dewey-search | 570.1/51 |
dewey-sort | 3570.1 251 |
dewey-tens | 570 - Biology |
discipline | Biologie |
format | Electronic eBook |
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Melnik.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin :</subfield><subfield code="b">De Gruyter,</subfield><subfield code="c">[2013]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xii, 316 pages) :</subfield><subfield code="b">illustrations (some color)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">data file</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">De Gruyter Series in Mathematics and Life Sciences ;</subfield><subfield code="v">v. 1</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">1 Introduction; 1.1 Scientific Frontiers at the Interface of Mathematics and Life Sciences; 1.1.1 Developing the Language of Science and Its Interdisciplinary Character; 1.1.2 Challenges at the Interface: Mathematics and Life Sciences; 1.1.3 What This Book Is About; 1.1.4 Concluding Remarks; 2 Mathematical and Statistical Modeling of Biological Systems; 2.1 Ensemble Modeling of Biological Systems; 2.1.1 Introduction; 2.1.2 Background; 2.1.3 Ensemble Model; 2.1.4 Computational Techniques; 2.1.5 Application to Viral Infection Dynamics; 2.1.6 Ensemble Models in Biology; 2.1.7 Conclusions.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">3 Probabilistic Models for Nonlinear Processes and Biological Dynamics3.1 Nonlinear Lévy and Nonlinear Feller Processes: an Analytic Introduction; 3.1.1 Introduction; 3.1.2 Dual Propagators; 3.1.3 Perturbation Theory for Weak Propagators; 3.1.4 T-Products; 3.1.5 Nonlinear Propagators; 3.1.6 Linearized Evolution Around a Path of a Nonlinear Semigroup; 3.1.7 Sensitivity Analysis for Nonlinear Propagators; 3.1.8 Back to Nonlinear Markov Semigroups; 3.1.9 Concluding Remarks; 4 New Results in Mathematical Epidemiology and Modeling Dynamics of Infectious Diseases.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">4.1 Formal Solutions of Epidemic Equation4.1.1 Introduction; 4.1.2 Epidemic Models; 4.1.3 Formal Solutions; 4.1.4 Separation of Variables; 4.1.5 Solvability of General Equations; 4.1.6 Concluding Remarks; 5 Mathematical Analysis of PDE-based Models and Applications in Cell Biology; 5.1 Asymptotic Analysis of the Dirichlet Spectral Problems in Thin Perforated Domains with Rapidly Varying Thickness and Different Limit Dimensions; 5.1.1 Introduction; 5.1.2 Description of a Thin Perforated Domain with Quickly Oscillating Thickness and Statement of the Problem; 5.1.3 Equivalent Problem.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">5.1.4 The Homogenized Theorem5.1.5 Asymptotic Expansions for the Eigenvalues and Eigenfunctions; 5.1.6 Conclusions; 6 Axiomatic Modeling in Life Sciences with Case Studies for Virus-immune System and Oncolytic Virus Dynamics; 6.1 Axiomatic Modeling in Life Sciences; 6.1.1 Introduction; 6.1.2 Boosting Immunity by Anti-viral Drug Therapy: Timing, Efficacy and Success; 6.1.3 Predictive Modeling of Oncolytic Virus Dynamics; 6.1.4 Conclusions; 7 Theory, Applications, and Control of Nonlinear PDEs in Life Sciences; 7.1 On One Semilinear Parabolic Equation of Normal Type; 7.1.1 Introduction.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">7.1.2 Semilinear Parabolic Equation of Normal Type7.1.3 The Structure of NPE Dynamics; 7.1.4 Stabilization of Solution for NPE by Start Control; 7.1.5 Concluding Remarks; 7.2 On some Classes of Nonlinear Equations with L1 -Data; 7.2.1 Nonlinear Elliptic Second-order Equations with L1-data; 7.2.2 Nonlinear Fourth-order Equations with Strengthened Coercivity and L1-Data; 7.2.3 Concluding Remarks; 8 Mathematical Models of Pattern Formation and Their Applications in Developmental Biology; 8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology; 8.1.1 Introduction.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. 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id | ZDB-4-EBA-ocn829370518 |
illustrated | Illustrated |
indexdate | 2024-11-27T13:25:13Z |
institution | BVB |
isbn | 3110288532 9783110288537 |
language | English |
oclc_num | 829370518 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (xii, 316 pages) : illustrations (some color) |
psigel | ZDB-4-EBA |
publishDate | 2013 |
publishDateSearch | 2013 |
publishDateSort | 2013 |
publisher | De Gruyter, |
record_format | marc |
series | De Gruyter series in mathematics and life sciences. |
series2 | De Gruyter Series in Mathematics and Life Sciences ; |
spelling | Mathematics and life sciences / edited by Alexandra V. Antoniouk, Roderick V.N. Melnik. Berlin : De Gruyter, [2013] 1 online resource (xii, 316 pages) : illustrations (some color) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda De Gruyter Series in Mathematics and Life Sciences ; v. 1 Includes bibliographical references and index. Print version record. 1 Introduction; 1.1 Scientific Frontiers at the Interface of Mathematics and Life Sciences; 1.1.1 Developing the Language of Science and Its Interdisciplinary Character; 1.1.2 Challenges at the Interface: Mathematics and Life Sciences; 1.1.3 What This Book Is About; 1.1.4 Concluding Remarks; 2 Mathematical and Statistical Modeling of Biological Systems; 2.1 Ensemble Modeling of Biological Systems; 2.1.1 Introduction; 2.1.2 Background; 2.1.3 Ensemble Model; 2.1.4 Computational Techniques; 2.1.5 Application to Viral Infection Dynamics; 2.1.6 Ensemble Models in Biology; 2.1.7 Conclusions. 3 Probabilistic Models for Nonlinear Processes and Biological Dynamics3.1 Nonlinear Lévy and Nonlinear Feller Processes: an Analytic Introduction; 3.1.1 Introduction; 3.1.2 Dual Propagators; 3.1.3 Perturbation Theory for Weak Propagators; 3.1.4 T-Products; 3.1.5 Nonlinear Propagators; 3.1.6 Linearized Evolution Around a Path of a Nonlinear Semigroup; 3.1.7 Sensitivity Analysis for Nonlinear Propagators; 3.1.8 Back to Nonlinear Markov Semigroups; 3.1.9 Concluding Remarks; 4 New Results in Mathematical Epidemiology and Modeling Dynamics of Infectious Diseases. 4.1 Formal Solutions of Epidemic Equation4.1.1 Introduction; 4.1.2 Epidemic Models; 4.1.3 Formal Solutions; 4.1.4 Separation of Variables; 4.1.5 Solvability of General Equations; 4.1.6 Concluding Remarks; 5 Mathematical Analysis of PDE-based Models and Applications in Cell Biology; 5.1 Asymptotic Analysis of the Dirichlet Spectral Problems in Thin Perforated Domains with Rapidly Varying Thickness and Different Limit Dimensions; 5.1.1 Introduction; 5.1.2 Description of a Thin Perforated Domain with Quickly Oscillating Thickness and Statement of the Problem; 5.1.3 Equivalent Problem. 5.1.4 The Homogenized Theorem5.1.5 Asymptotic Expansions for the Eigenvalues and Eigenfunctions; 5.1.6 Conclusions; 6 Axiomatic Modeling in Life Sciences with Case Studies for Virus-immune System and Oncolytic Virus Dynamics; 6.1 Axiomatic Modeling in Life Sciences; 6.1.1 Introduction; 6.1.2 Boosting Immunity by Anti-viral Drug Therapy: Timing, Efficacy and Success; 6.1.3 Predictive Modeling of Oncolytic Virus Dynamics; 6.1.4 Conclusions; 7 Theory, Applications, and Control of Nonlinear PDEs in Life Sciences; 7.1 On One Semilinear Parabolic Equation of Normal Type; 7.1.1 Introduction. 7.1.2 Semilinear Parabolic Equation of Normal Type7.1.3 The Structure of NPE Dynamics; 7.1.4 Stabilization of Solution for NPE by Start Control; 7.1.5 Concluding Remarks; 7.2 On some Classes of Nonlinear Equations with L1 -Data; 7.2.1 Nonlinear Elliptic Second-order Equations with L1-data; 7.2.2 Nonlinear Fourth-order Equations with Strengthened Coercivity and L1-Data; 7.2.3 Concluding Remarks; 8 Mathematical Models of Pattern Formation and Their Applications in Developmental Biology; 8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology; 8.1.1 Introduction. The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. It also includes arange of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. The bookis aimed at researchers in academia, practitioners and graduate students who want to foster interdisciplinary collaborations required to meet the challenges at the interface of modern life sciences. English. Biomathematics. http://id.loc.gov/authorities/subjects/sh85014235 Life sciences Mathematics. Research. http://id.loc.gov/authorities/subjects/sh85113021 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Life sciences. http://id.loc.gov/authorities/subjects/sh85076841 Research Mathematics Biological Science Disciplines Biomathématiques. Sciences de la vie Mathématiques. Recherche. Mathématiques. Sciences de la vie. research (function) aat mathematics. aat applied mathematics. aat biological sciences. aat NATURE Reference. bisacsh SCIENCE Life Sciences Biology. bisacsh SCIENCE Life Sciences General. bisacsh Research fast Mathematics fast Life sciences fast Biomathematics fast Life sciences Mathematics fast Antoniouk, Alexandra V., editor. Melnik, Roderick, editor. has work: Mathematics and Life Sciences (Text) https://id.oclc.org/worldcat/entity/E39PCYTkk8jwYBjQ6rMPPDbd9C https://id.oclc.org/worldcat/ontology/hasWork Print version: 9783110273724 3110273721 (DLC) 2012039223 De Gruyter series in mathematics and life sciences. http://id.loc.gov/authorities/names/n2013182704 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=543982 Volltext |
spellingShingle | Mathematics and life sciences / De Gruyter series in mathematics and life sciences. 1 Introduction; 1.1 Scientific Frontiers at the Interface of Mathematics and Life Sciences; 1.1.1 Developing the Language of Science and Its Interdisciplinary Character; 1.1.2 Challenges at the Interface: Mathematics and Life Sciences; 1.1.3 What This Book Is About; 1.1.4 Concluding Remarks; 2 Mathematical and Statistical Modeling of Biological Systems; 2.1 Ensemble Modeling of Biological Systems; 2.1.1 Introduction; 2.1.2 Background; 2.1.3 Ensemble Model; 2.1.4 Computational Techniques; 2.1.5 Application to Viral Infection Dynamics; 2.1.6 Ensemble Models in Biology; 2.1.7 Conclusions. 3 Probabilistic Models for Nonlinear Processes and Biological Dynamics3.1 Nonlinear Lévy and Nonlinear Feller Processes: an Analytic Introduction; 3.1.1 Introduction; 3.1.2 Dual Propagators; 3.1.3 Perturbation Theory for Weak Propagators; 3.1.4 T-Products; 3.1.5 Nonlinear Propagators; 3.1.6 Linearized Evolution Around a Path of a Nonlinear Semigroup; 3.1.7 Sensitivity Analysis for Nonlinear Propagators; 3.1.8 Back to Nonlinear Markov Semigroups; 3.1.9 Concluding Remarks; 4 New Results in Mathematical Epidemiology and Modeling Dynamics of Infectious Diseases. 4.1 Formal Solutions of Epidemic Equation4.1.1 Introduction; 4.1.2 Epidemic Models; 4.1.3 Formal Solutions; 4.1.4 Separation of Variables; 4.1.5 Solvability of General Equations; 4.1.6 Concluding Remarks; 5 Mathematical Analysis of PDE-based Models and Applications in Cell Biology; 5.1 Asymptotic Analysis of the Dirichlet Spectral Problems in Thin Perforated Domains with Rapidly Varying Thickness and Different Limit Dimensions; 5.1.1 Introduction; 5.1.2 Description of a Thin Perforated Domain with Quickly Oscillating Thickness and Statement of the Problem; 5.1.3 Equivalent Problem. 5.1.4 The Homogenized Theorem5.1.5 Asymptotic Expansions for the Eigenvalues and Eigenfunctions; 5.1.6 Conclusions; 6 Axiomatic Modeling in Life Sciences with Case Studies for Virus-immune System and Oncolytic Virus Dynamics; 6.1 Axiomatic Modeling in Life Sciences; 6.1.1 Introduction; 6.1.2 Boosting Immunity by Anti-viral Drug Therapy: Timing, Efficacy and Success; 6.1.3 Predictive Modeling of Oncolytic Virus Dynamics; 6.1.4 Conclusions; 7 Theory, Applications, and Control of Nonlinear PDEs in Life Sciences; 7.1 On One Semilinear Parabolic Equation of Normal Type; 7.1.1 Introduction. 7.1.2 Semilinear Parabolic Equation of Normal Type7.1.3 The Structure of NPE Dynamics; 7.1.4 Stabilization of Solution for NPE by Start Control; 7.1.5 Concluding Remarks; 7.2 On some Classes of Nonlinear Equations with L1 -Data; 7.2.1 Nonlinear Elliptic Second-order Equations with L1-data; 7.2.2 Nonlinear Fourth-order Equations with Strengthened Coercivity and L1-Data; 7.2.3 Concluding Remarks; 8 Mathematical Models of Pattern Formation and Their Applications in Developmental Biology; 8.1 Reaction-Diffusion Models of Pattern Formation in Developmental Biology; 8.1.1 Introduction. Biomathematics. http://id.loc.gov/authorities/subjects/sh85014235 Life sciences Mathematics. Research. http://id.loc.gov/authorities/subjects/sh85113021 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Life sciences. http://id.loc.gov/authorities/subjects/sh85076841 Research Mathematics Biological Science Disciplines Biomathématiques. Sciences de la vie Mathématiques. Recherche. Mathématiques. Sciences de la vie. research (function) aat mathematics. aat applied mathematics. aat biological sciences. aat NATURE Reference. bisacsh SCIENCE Life Sciences Biology. bisacsh SCIENCE Life Sciences General. bisacsh Research fast Mathematics fast Life sciences fast Biomathematics fast Life sciences Mathematics fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85014235 http://id.loc.gov/authorities/subjects/sh85113021 http://id.loc.gov/authorities/subjects/sh85082139 http://id.loc.gov/authorities/subjects/sh85076841 |
title | Mathematics and life sciences / |
title_auth | Mathematics and life sciences / |
title_exact_search | Mathematics and life sciences / |
title_full | Mathematics and life sciences / edited by Alexandra V. Antoniouk, Roderick V.N. Melnik. |
title_fullStr | Mathematics and life sciences / edited by Alexandra V. Antoniouk, Roderick V.N. Melnik. |
title_full_unstemmed | Mathematics and life sciences / edited by Alexandra V. Antoniouk, Roderick V.N. Melnik. |
title_short | Mathematics and life sciences / |
title_sort | mathematics and life sciences |
topic | Biomathematics. http://id.loc.gov/authorities/subjects/sh85014235 Life sciences Mathematics. Research. http://id.loc.gov/authorities/subjects/sh85113021 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Life sciences. http://id.loc.gov/authorities/subjects/sh85076841 Research Mathematics Biological Science Disciplines Biomathématiques. Sciences de la vie Mathématiques. Recherche. Mathématiques. Sciences de la vie. research (function) aat mathematics. aat applied mathematics. aat biological sciences. aat NATURE Reference. bisacsh SCIENCE Life Sciences Biology. bisacsh SCIENCE Life Sciences General. bisacsh Research fast Mathematics fast Life sciences fast Biomathematics fast Life sciences Mathematics fast |
topic_facet | Biomathematics. Life sciences Mathematics. Research. Mathematics. Life sciences. Research Mathematics Biological Science Disciplines Biomathématiques. Sciences de la vie Mathématiques. Recherche. Mathématiques. Sciences de la vie. research (function) mathematics. applied mathematics. biological sciences. NATURE Reference. SCIENCE Life Sciences Biology. SCIENCE Life Sciences General. Life sciences Biomathematics Life sciences Mathematics |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=543982 |
work_keys_str_mv | AT antonioukalexandrav mathematicsandlifesciences AT melnikroderick mathematicsandlifesciences |