LEADER 03156nam 2200505 450 001 9910554248403321 005 20230629233208.0 010 $a0-300-25842-9 024 7 $a10.12987/9780300258424 035 $a(CKB)5590000000487328 035 $a(DE-B1597)583209 035 $a(DE-B1597)9780300258424 035 $a(MiAaPQ)EBC6639448 035 $a(Au-PeEL)EBL6639448 035 $a(OCoLC)1260348320 035 $a(EXLCZ)995590000000487328 100 $a20220202d2021 uy 0 101 0 $aeng 135 $aur||#|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical models in the biosciences I /$fMichael Frame 210 1$aNew Haven, Connecticut :$cYale University Press,$d[2021] 210 4$dİ2021 215 $a1 online resource (xxii, 519 pages) : $b illustrations 311 $a0-300-22831-7 320 $aIncludes bibliographical references and index. 327 $tPreface --$tWays to use this book --$tReview --$tDiscrete dynamics --$tDifferential equations models --$tSingle-variable differential equations --$tDefinite integrals and improper integrals --$tPower laws --$tDifferential equations in the plane --$tLinear systems and stability --$tNonlinear systems and stability --$tInfinite series and power series --$tSome probability --$tWhy this matters --$tAppendix A. Technical --$tAppendix B. Some Mathematica code --$tAppendix C. Some useful integrals and hints. 330 $aAn award-winning professor?s introduction to essential concepts of calculus and mathematical modeling for students in the biosciences This book introduces mathematical modeling to bioscience students, with first semester calculus as the only prerequisite. It is the first of a two-part series exploring essential concepts of calculus in the context of biological systems. Michael Frame covers the essential ideas and theories of basic calculus while providing examples of how they relate and are applicable to subjects such as chemotherapy and tumor growth, chemical diffusion, allometric scaling, predator-prey relations, nerve impulses, and more. He presents Pearl?s causality calculus to resolve Simpson?s paradox, simple cardiac dynamics models, basic epidemiological models including Ronald Ross?s study of malaria and its epidemic curves, and limit cycles for the glycolysis model. Based on the author?s calculus class at Yale, the book makes concepts of calculus less abstract and more relatable for science majors and premedical students. 517 3 $aMathematical models in the biosciences 1 606 $aLife sciences$xMathematical models 608 $aInstructional and educational works.$2fast 608 $aInstructional and educational works.$2lcgft 608 $aMate?riel d'e?ducation et de formation.$2rvmgf 615 0$aLife sciences$xMathematical models. 676 $a570.15118 700 $aFrame$b Michael$01217317 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910554248403321 996 $aMathematical models in the biosciences I$92815379 997 $aUNINA