{"product_id":"the-mathematics-of-the-living-body-paperback","title":"The Mathematics of the Living Body - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eZachariah Sinkala\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe Mathematics of the Living Body, Volume 1: Cardiovascular Physiology\u003c\/p\u003e\u003cp\u003eZachariah Sinkala - Zachariah Sinkala Publishing\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis is a physiology book written in equations - but the physiology always comes first. Every equation emerges from a named protein, a measurable cellular event, or a conservation law that the biology makes necessary.\u003c\/p\u003e\u003cp\u003eThe central argument is that the cardiovascular system is a control architecture. It is not a collection of organs with properties to memorise. It is a set of coupled feedback loops - a pressure-controlled pump regulated by a proportional-integral controller in the brainstem, a hormonal cascade in the kidney, and local autoregulation in every organ. Once you see it this way, the pharmacology, the pathology, and the clinical decision-making all follow from the same mathematical framework.\u003c\/p\u003e\u003cp\u003eNineteen chapters, 280 pages, 27 original figures. The book moves from physical foundations (Poiseuille flow, Windkessel compliance, pressure-volume loops) through cardiac dynamics (Frank-Starling, Hodgkin-Huxley, arrhythmia as bifurcation) and regulatory systems (baroreflex as PI controller, RAAS as enzyme cascade, cerebral autoregulation) to clinical disease states (heart failure, hypertension, shock, atherosclerosis, drug mathematics) and finally to a patient-specific digital twin framework and a full case study applying every major equation to a single real clinical scenario.\u003c\/p\u003e\u003cp\u003eEach chapter opens with the molecular biology - named genes, named proteins, named mechanisms - before any equation appears. Each carries an explicit Model Assumptions box distinguishing core physical principles from useful approximations from empirical fits. Worked examples report ranges, not single numbers.\u003c\/p\u003e\u003cp\u003eThe reader is a medical student who already knows basic physiology and wants to know why, a biomedical engineering student who wants clinical grounding, or a quantitatively minded clinician who prefers mechanism-first explanations. It is a companion text, not a primary medical textbook - strongest for readers who want the first-principles framework underneath the clinical vocabulary they already have.\u003c\/p\u003e\u003cp\u003eWhere physiology ends, mathematics begins.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 282\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.77 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e April 01, 2026\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":54129431773491,"sku":"9798995305583","price":44.78,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/ySEwd4n9LD9798995305583.webp?v=1790200248","url":"https:\/\/www.vysn.com\/en-ca\/products\/the-mathematics-of-the-living-body-paperback","provider":"VYSN","version":"1.0","type":"link"}