{"product_id":"the-mathematics-of-the-living-zachariah-sinkala-9798995305583","title":"The Mathematics of the Living Body","description":"\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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Zachariah Sinkala\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9798995305583\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Zachariah Sinkala\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/01\/2026\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 282\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.12lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.77d","brand":"Zachariah Sinkala","offers":[{"title":"Paperback","offer_id":48852811481343,"sku":"9798995305583","price":34.99,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/the-mathematics-of-the-living-zachariah-sinkala-9798995305583","provider":"WR Book House","version":"1.0","type":"link"}